2021-22 Department of Mathematics Events

March, 2023

54th Southeastern International Conference on Combinatorics, Graph Theory and Computing

(Registration coming soon!)

August 2022

Aug., 11
SE 215
1:00 pm

PhD Dissertation Defense (Thursday, August 11, 1:00 pm) in SE 215 (in-person with remote access): 

Speaker: Bikram Bhusal PhD Candidate)

Title: Stability Analysis and Parameter Estimation of a Stochastic Logistic Growth Model with Multiplicative Alpha-Stable Lévy Noise. 

Advisor: Dr. Hongwei Long 

Abstract: 

Since the population growth systems may suffer impulsive environmental disturbances such as earthquakes, epidemics, tsunamis, hurricanes, and so on, stochastic differential equations (SDEs) that are driven not only by Brownian motion but also by alpha-stable Lévy noises are more appropriate to model such statistical behavior of non-Gaussian processes with heavy-tailed distribution, having infinite variance and in some cases infinite first moment. In this dissertation, we study stochastic processes defined as solutions to stochastic logistic differential equations driven by multiplicative alpha-stable Lévy noise. We mainly focus on one-dimensional stochastic logistic jump-diffusion processes driven by Brownian motion and alpha-stable Lévy motion. First, we present the stability analysis of the solution of a stochastic logistic growth model with multiplicative alpha-stable Lévy noise. We establish the existence of a unique global positive solution of this model under certain conditions. Then, we find the sufficient conditions for the almost sure exponential stability of the trivial solution of the model.  Next, we provide parameter estimation for the proposed model.  In parameter estimation, we use the least square method to get optimal and applicable estimators of the drift parameters.  We also investigate the consistency and asymptotics of the proposed estimators.  We assess the validity of the estimators with a simulation study.  

Meeting information: 

Topic: Ph.D. Dissertation Defense for Bikram Bhusal 

Time: Aug 11, 2022 01:00 PM Eastern Time (US and Canada) 

Join Zoom Meeting 

https://fau-edu.zoom.us/j/81740421843?pwd=ekN5dTNpd2d2V01CQ2g5Y2lwRzFldz09 

Aug 14-21
Wyndham
Deerfield Beach Resort

2022 Combinatorics, Computing, Group Theory and Applications in South Florida

Early Registration: June 1, 2022

Fri., Aug 5
SE 215
2:00 pm

MS Exam:  Pitambar Acharya

Title: Bayesian Model Averaging: An Overview 

Abstract: In probability theory and statistics, the notion of  Bayes' theorem  (Thomas Bayes: circa 1701 – 7 April 1761), describes the probability of an event, based on prior knowledge of conditions that might be related to the event. In this presentation, we will give an overview of Bayesian Model Averaging (BMA).  It is a well known fact that standard statistical practice ignores model uncertainty. So, statisticians/data scientists typically select a model from a given class of models and then proceed as if the model generated the data. This consequently leads to over-confident inferences. BMA is an intuitively attractive solution to the problem of accounting for model uncertainty. Nowadays, the use of BMA is implemented rigorously in a number of fields and we will explore some applications. 

All are cordially invited. 

July 2022

Young CryptograpHers Summer Camp (In the Sandbox)

Register here!

Jul., 19
10:00 a.m.

MS Exam:  Keegan Lee (on ZOOM)

Title: A Subexponential-Time Quantum Algorithm for the Dihedral Hidden Subgroup Problem 

Abstract: We examine the Hidden Subgroup Problem of finding a subgroup H of group G using an oracle function which maps an element of G into set S based only on the coset of H containing G. We present a subexponential complexity algorithm for the special case where G is dihedral of order 2^n, and we discuss expansion of the algorithm for application to dihedral groups of unspecified order. 

Join Zoom Meeting:
https://fau-edu.zoom.us/j/85422768020?pwd=bXJXOWNldWIzMGZZeHdSS21Ddm9tdz09

Meeting ID: 854 2276 8020

Jul., 18
3:00 p.m.

MS Exam: Dominic Blanco (on ZOOM)

Title: The Sitnikov Problem, Low Energy Transfers, and The Economic Feasibility of Asteroid Mining 

Abstract: Asteroid mining can be profitable; however, it is currently not economically feasible. Space companies have reduced the cost of missions by using low energy transfer. Low energy transfer uses connecting orbits requiring much less energy to move a spacecraft. To demonstrate low energy transfer, I investigate the Sitnikov Problem with eccentricity of  and . The Sitnikov Problem is a form of the gravitational three-body problem with two heavy bodies orbiting in a plane while a light third body moves perpendicular to the plane. I compute the Poincaré map and find connecting orbits. I then compare past missions that used low energy transfer to similar missions which did not. In all cases, using low energy transfer lowered the cost. This shows that we should investigate the use of low energy transfer in asteroid mining missions to reduce cost. 

Join Zoom Meeting 
https://fau-edu.zoom.us/j/84304914882?pwd=cNV5vpX8WDi0Pw-O5TudBHQq_SV64y.1 

Meeting ID: 843 0491 4882 

May, 2022

Ph.D. Dissertation Defense: Archana Timsina 

Title: Identifiability Analysis and Optimal Control of Infectious Diseases Epidemics and Parameterization Method for (Un)Stable Manifolds of Implicitly Defined Dynamical Systems 

Co-Advisors: Dr. Necibe Tuncer and Dr. Jason Mireles-James 

Abstract: This dissertation is a study about applied dynamical systems on two concentrations. Frist, based on the growing association between opioid addiction and HIV infection, a compartmental model is developed to study dynamics and optimal control of two epidemics: opioid addiction and HIV infection. We show that the disease-free-equilibrium is locally asymptotically stable when the basic reproduction number R_0= max (R_0^{u}, R_0^{v})< 1,  here R_0^{v} is the reproduction number of the HIV infection, and R_0^{u} is the reproduction number of the opioid addiction. The addiction-only boundary equilibrium exists when R_0^{u}  > 1 and it is locally asymptotically stable when the invasion number of the opioid addiction is R_{inv}^{u}< 1. Similarly, HIV-only boundary equilibrium exists when R_0^{v}> 1 and it is locally asymptotically stable when the invasion number of the HIV infection is R_{inv}^{v}< 1. We study structural identifiability of the parameters, estimate parameters employing yearly reported data from Central for Disease Control and Prevention (CDC), and study practical identifiability of estimated parameters. We observe the basic reproduction number ¬¬¬¬ R_0 using the parameters. Next, we introduce four distinct controls in the model for the sake of control approach, including treatment for addictions, health care education about not sharing syringes, highly active anti-retroviral therapy (HAART), and rehab treatment for opiate addicts who are HIV infected. US population using CDC data, first applying a single control in the model, and observing the results, we better understand the influence of individual control. After completing each of the four applications, we apply them together at the same time in the model and compare the outcomes using different control bounds and state variable weights. We conclude the results by presenting several graphs. Similarly, we fit a SARS-CoV-2 model to US data of COVID-19 cases and deaths. We conclude that the model is not structurally identifiable. We make the model identifiable by prefixing some of the parameters from external information. Practical identifiability of the model through Monte Carlo simulations reveals that two of the parameters may not be practically identifiable. With thus identified parameters, we set up an optimal control problem with social distancing and isolation as control variables. We investigate two scenarios: the controls are applied for the entire duration and the controls are applied only for the period of time. Our results show that if the controls are applied early in the epidemic, the reduction in the infected classes is at least an order of magnitude higher compared to when controls are applied with two-week delay. Further, removing the controls before the pandemic ends leads to rebound of the infected classes. 
 
Next, a multiple shooting parameterization method is developed for studying stable/unstable manifolds attached to periodic orbits of systems whose dynamics is determined by an implicit rule. We represent the local invariant manifold using high order polynomials and show that the method leads to efficient numerical calculations. We implement the method for several example systems in dimension two and three. The resulting manifolds provide useful information about the orbit structure of the implicit system even in the case that the implicit relation is neither invertible nor single-valued. 
 
Please contact Dr. Hongwei Long (hlong@fau.edu) for an electronic copy of the dissertation. A hardcopy of the dissertation is not displayed in the departmental office in order to avoid multiple people touching the same hardcopy at this pandemic time. 
  
All are cordially invited. 

Speaker:  Theresa Buscemi (in person presentation): 

Title: Enumeration of Spanning Trees in a Graph by the Matrix Tree Theorem 

Abstract: In Graph Theory, a graph is called a tree if it is connected, undirected, and acyclic, i.e. any two vertices in the graph are connected by exactly one path. A subgraph H of a connected graph G is called a spanning tree if H is a tree which includes all the vertices of G. Now, let G be a connected graph with vertex set V = {v_1, v_2, ..., v_n} and edge set E = {e_1, e_2, ..., e_m}. After arbitrarily assigning orientations to the edges of G, we can define the incidence matrix M of G, whose (i, j)th entry is equal to 1 if e_j leaves v_i, -1 if e_j enters v_i, and 0 if e_j is not incident with v_i. The Matrix Tree Theorem states that the number of spanning trees of G is given by (the absolute value of) the determinant of any (n-1) x (n-1) submatrix of the augmented adjacency matrix D := MM^T. We provide a proof of the Matrix Tree Theorem and demonstrate how the theorem can be applied to count the number of spanning trees in example graphs. 

Virtual Option (ZOOM)

Zoom link:   

https://fau-edu.zoom.us/my/tbuscemi2020?pwd=cHJOZE9QTDZmcXFacTVoNGJGbVludz09 

All are cordially invited. 

Prelim Exam: Sulani Thakshila

Summary:  

One of the most promising fields in the security based problems in Cryptography are utilized lattices due to its hardness and efficiency. The digital signature schemes(DSSs) in lattice-based cryptographic primitives are now very practical in compared with traditional cryptosystems like RSA or DSA which are based on factoring problem or discrete logarithm problem. Unlike the NTRUSign and Hash-and-Sign, Fiat-Shamir(FS) transforma-tion in DSSs first build an identification scheme in a certain form and then convert it into a DSS. In particular, identification scheme that has challenge as a polynomial is transformed into a DDS by improving length of the signature and making collisions resistant hash function family. While security in the identification scheme is based on approximate short vector in the standard model and Random Oracle Model(ROM), security of the DDS is depend on the finding collisions in the family of hash functions. The hardness assumptions here are used in ring-SIS(Short Integer Solution) problem and now it has been adapted to ring-LWE(Learning With Erros) which decreases the size of the signature and keys thereby improving the efficiency. I will explain FS-transformation schemes and how it is related to signature schemes. 

In particular, Abdalla et al. in [1] introduced the idea of lossy identification scheme and give tight reductions in Quantum Random Oracle Model(QROM). The lossy identification scheme comes with an additional lossy key which is the output of the key generation algorithm and computationally indistinguishable from honestly generated ones. The security of the lossy identification scheme is a notion of impersonation of the lossy keys with respect to an adversary has access to lossy public keys and simulated transcript of the model. The NIST submissions TESLA and Dilithium are practical examples of lattice instantiation of [1]. For non-lossy lattice-based identification schemes has underlying signatures in Ducas et al. in [2]. The security of such schemes is non-tight and use the Forking Lemma. For example BLISS signature scheme Ducas et al. in [2] improved the rejection sampling by bimodal Gaussian instead of shifted Gaussian distributions. I will explain the lossy signature scheme and BLISS signature scheme in more detail in the notions of FS- transform in lattices. 

The module lattices is the most appealing aspects of the lattice-based protocols because of strong security proof based on hardness assumptions in worst case problems. I will explain the importance and advantages of modules lattices. The cyclotomic ring Zq[x]/(xn + 1) where n is a power of two plays a big role in constructing lattice-based protocols and the small polynomials invertibile under special congruence conditions, q ≡ 5 (mod 8). Nguyen in [3] showed how to omit this congruence condition instead analysing zeroes in CRR(Chinese Remainder Representation) of small polynomials. Concretely, without the prime condition, Nguyen in [3] provide a upper bound in terms of probability for the non-existence of a short vector in a random module lattice. I will explain non-existence of prime condition improve the tight security in QROM, however with a less speed. 

Join Zoom Meeting
https://fau-edu.zoom.us/j/7290087861?pwd=SHlXYUwxK29mU1ZzRGh6NXJpdzJqZz09

<b>Meeting ID: 729 008 7861
Passcode: UetKL0nL

April, 2022

April 7
4:00 p.m.
SE 215

Speaker: Thomas Benitez (in person) 

Title: A New Zero-Knowledge Protocol for the Syndrome Decoding Problem and Code-Based Signature 

Abstract: Zero-knowledge proofs are an important tool for many cryptographic protocols and applications. The threat of a coming quantum computer motivates the research for new zero-knowledge proof techniques for (or based on) post-quantum cryptographic problems. One of the few directions is code-based cryptography for which the strongest problem is the syndrome decoding of random linear codes.  In this presentation, we introduce a new zero-knowledge proof for the syndrome decoding problem on random linear codes. This protocol achieves a soundness error of 1/n for an arbitrary n.  We provide an optimized version of this zero-knowledge protocol which achieves arbitrary soundness through parallel repetitions and merged cut-and-choose phase. While turning this protocol into a signature scheme, we achieve a signature size of 17 KB for a 128-bit security. This represents a significant improvement over previous constructions based on the syndrome decoding problem for random linear codes. 

All are cordially invited. 

April 8
1:00 pm

SE 216

MS Exam Presentation

Speaker:  Lariza Ramsammy (in person presentation)

Title: Variations on Valuation Domains 

Abstract: It is common knowledge, in Commutative Algebra, that valuation domains are GCD domains with linearly ordered prime ideals. In his 1995 paper in Communications in Algebra, Ayman Badawi gave other characterizations of integral domains with linearly ordered prime ideals, thus providing an alternative proof of this equivalence. In this presentation, we will explore one of these characterizations as well as its implication for local integral domains with related properties, including pseudo-valuation domains and divided domains. Finally, we will discover how these equivalent characterizations lead to a chain of implications among the properties considered.  

All are cordially invited. 

Master of Science Exam (Presentation)

Speaker:  Raya Shimshi (in person) 

Title: Super Convergence of Ergodic Averages for Quasiperiodic Orbits (Quantitative Quasiperiodicity) 

Crypto Café

Zoom: https://fau-edu.zoom.us/j/88045709062?pwd=NjN2NGRnVDhkdExwcUxlOHBPUjErUT09

Speaker : Emrah Karagoz, Florida Atlantic University

Title : Correlation Power Analysis on AES

Abstract : The main goal of side channel attacks is to gain physical information (such as timing information, power consumption, electromagnetic leaks etc.) from a cryptographic algorithm implemented on a computer device, and to obtain the cryptographic keys by using this information. Power analysis is a type of side channel attack in which the attacker aims to extract the cryptographic keys by studying the power consumption of the device. On the other hand, AES (Advanced Encryption Standard) is a symmetric algorithm standardized by NIST in 2001, and it has been deployed mostly everywhere to encrypt the sensitive data because of its strong cryptographic security. In this presentation, we will explain how correlation power analysis works on AES so that an attacker can extract the AES key very easily, and therefore we will point out that the implementation of a cryptographic algorithm is as important as its cryptographic security.

Society for Industiral and Applied Mathematics (SIAM) student chapter presents:

Speaker:  Dr. Dan Wilburne, MITRE Corporation. A flyer for the event can be downloaded from the link below:

https://drive.google.com/file/d/1hb184hSqxRpsr2GmjoVrY11RNX-0uQZ-/view?usp=sharing

Title:  My journey as an Applied Mathematician

Zoom:

https://fau-edu.zoom.us/j/89219435411?pwd=UWFUaFliS25lcUJ1NGFBaWxweXBXUT09                                                                                                            

Meeting ID: 892 1943 5411

Passcode: Siam2022

Also, please feel free to visit (or subscribe to) our Youtube channel: https://www.youtube.com/channel/UCLLIwl8E06aAfks2dNKve0g for previous talks and follow our Twitter page (@FAU_SIAMstudent): https://twitter.com/FAU_SIAMstudent for upcoming announcements.

DATA and AI RESEARCH EXHIBITIONS

This event is presented by the FAU Data-Driven Science and AI Conference which will be held in the Student Union on Saturday, May 21, 2022, 8:00 am-5:00 pm. Both the conference and the exhibition are open to to all students. If you attend the event on April 21st, 2022 for DATA and AI RESEARCH EXHIBITIONS at the Sandbox, you will receive the free registration to the May 21^st Data-Driven Science and AI Conference!

There is also an opportunity to present your research in the poster session at the Data-Driven Science and AI Conference. Any poster presenters will also have registration reimbursement for the Conference.  If you are willing to participate in the poster session in the conference, please contact Dr. Wazir Muhammad. The email: wmuhammad@fau.edu, and visit the following link to submit your poster information.

https://forms.gle/WK7RNHTxd1ZoWDGG8

Please submit if you haven’t already.

Thank you for your interest in Data-Driven Science and AI Conference. If you have any questions or need additional information about DATA and AI RESEARCH EXHIBITIONS, please feel free to contact Dr. Maria Provost (mprovost@fau.edu) or visit the website: Data-Driven Science and AI Conference

See you all there on April 21^st at Sandbox!

Math Club - History of AI (Final Math Club event of the semester)

FAU's Math Club and the Society of Women Engineers will host, for its final event of the semester, a talk entitled, Hisotry of AI.
This event will be held in-person in the Engineering East building.  You may also attend virtually via Zoom. 

All are invited.  We hope tp see you there!

Zoom link: https://fau-edu.zoom.us/j/84967758783?pwd=alhOOUg1dGtUcDVLUGNRYW43ODhPdz09

Tues., April 26
SE 215
9:00 am

Prelim Exam:  This event is open to all graduate faculty.  

Speaker: David Urizar, Ph.D. Candidate

Summary:   The proposed preliminary exam would present the fundamentals of rigidity theory.  The student will define key terms: Graph realizations, Laman condition, Laman number,  infinitesimal motion, and pure condition.  Furthermore, he will develop some further theory in the case of 2-dimensional rigidity, considering angle constraints in addition to length constraints for bar-and-joint frameworks. He will explain how algebraic relations of higher degree translate into linear relations on the columns of the rigidity matrix.  He will provide combinatorial characterizations for the number of unique realizations of a rigid body modulo its rigid motions. The student will reformulate the problem of determining rigidity in terms of the algebraic geometry of the configuration space, and present numerous examples to illustrate these ideas.  The student will be prepared to answer questions relating to structural rigidity and its applications. 

March 2022

The Crypto Café is back!

Join us for the first talk of the 2022 edition of our bi-weekly cryptography seminar, starting this Thursday, March 3, at 10:00 a.m. 

Topics will include mathematics and computer science that relate to codes, cryptography, and information security. 

Join us either in-person or virtaully this Thursday, March the 3rd, 2022.

Speaker : Edoardo Persichetti, Florida Atlantic University

Title : Code-based Signatures: New Approaches and Research Directions

Abstract : Code-based cryptography is one of the main areas of research within the context of quantum-secure communication. Yet, designing an efficient and secure code-based signature scheme has been a challenging problem for the last few decades. In this talk, I will summarize some of the long history of code-based signatures, and then illustrate current work and future research directions for this important topic.

Everyone welcome and there will be coffee, and donuts!

Attend virtually on Zoom:

Zoom: https://fau-edu.zoom.us/j/88045709062?pwd=NjN2NGRnVDhkdExwcUxlOHBPUjErUT09

For future/past sessions, also see http://www.math.fau.edu/crypto_cafe.php

53rd Southeastern International Conference on Combinatorics, Graph Theory and Computing, March 7-11, 2022
Regsiter Here 

Crypto Café presents:

Speaker : Abhraneel Dutta, Florida Atlantic University

Title : Two Constant Time Polynomial Inversion Algorithms for Post-Quantum Cryptosystems

Abstract : A very common primitive in code-based cryptography is computing the inverse of a binary polynomial over a binary polynomial ring and making such algorithms constant time helps achieve the prevention against timing side channel attacks. This presentation will focus on a brief introduction to two recent time polynomial inversion algorithms which are capable to run in constant time: Bernstein-Yang's "SafeGCD" polynomial inversion, based on the Extended GCD algorithm and constant time Itoh-Tsuji Inversion (ITI) derived from Fermat's Little Theorem.

To join virtually on Zoom: 

Zoom: https://fau-edu.zoom.us/j/88045709062?pwd=NjN2NGRnVDhkdExwcUxlOHBPUjErUT09

For future/past sessions (growing list), also see http://www.math.fau.edu/crypto_cafe.php

An informal meeting to discuss...

Reflection and  Celebration of Diversity, Equity and Inclusion. 

Everyone is welcome to be a part of this important conversation!  Join us!

PhD Dissertation Defense:  Sean Perry (Doctoral candidate)

Dissertation Title: On the Image Counting Problem from Gravitational Lensing 

Advisor: Dr. Erik Lundberg 

This Doctoral Defense is also being presented on ZOOM.

Join Zoom Meeting
https://fau-edu.zoom.us/j/88203111079?pwd=K0dxcE5WRktNZFZML1JyWHdYSkNuUT09

Meeting ID: 882 0311 1079
Passcode: DzLV5P

Crypto Café 

Time/Room: March 31, 2022, SE-43, Room 215; 10:00 a.m.

Speaker : Tovohery Randrianarisoa, Florida Atlantic University

Title : On Linear Complexity of Finite Sequences: Coding Theory and Applications to Cryptography

Abstract : We define two metrics on vector spaces over a finite field using the linear complexity of finite sequences. We then develop coding theory notions for these metrics and study their properties.  We show how to reduce the problem of finding codewords with given Hamming weight into a problem of finding a vector of a given linear complexity. This implies that our new metric can be used for cryptography in a similar way to what is currently done in the code-based setting with Hamming metric. Recently, Feneuil et al. presented a signature scheme with codes with Hamming metric using a multiparty computation approach. We show that by transforming their work into a setting with linear complexity as metric, we can improve the speed of signing by eliminating all the interpolations steps in the process.

It will also be held on Zoom:

Zoom: https://fau-edu.zoom.us/j/88045709062?pwd=NjN2NGRnVDhkdExwcUxlOHBPUjErUT09

For future/past sessions (growing list), also see http://www.math.fau.edu/crypto_cafe.php

February 2022

FAU's Math Club presents "Latex Workshop"

Cryptography Presentation
Speaker: Francesco Sica, faculty canditate

Title: Factoring with (Less) Hints

Tues, Feb 8
11:00 am
SE 215

Cryptography Presentation
Speaker: Veronika Kuchta, faculty canditate

Title: Post-Quantum Zero-Knowledge Proofs

Thurs, Feb 10
2:00 pm
ZOOM (virtual)

Cryptography Presentation (virtual)
Speaker: Jason LeGrow, faculty candidate

Title:  Some Problems in Isogeny-Based Cryptography

Join Zoom Meeting: https://fau-edu.zoom.us/j/3373397013?pwd=dzhlc2RaS0FJdUl0VzB0M2g2ZzlHQT09

Meeting ID: 337 339 7013
Passcode: 2q1d0Z

Fre, Feb 11
4:00 pm
Zoom (virtual)

The student chapter of SIAM presents:
Speaker: Mr. Alex D. Zharichenko, Aurora Innovation and the University of Pittsburgh.

CLICK HERE FOR THE OFFICIAL FLYER

Title: What got you here won’t get you there: Landing a position in Data Science, Data Engineering and Machine Learning

Join via Zoom:  https://fau-edu.zoom.us/j/87951200366?pwd=alN6NXFZRXRUbm91b3AwSTRhaTJldz09

Meeting ID: 879 5120 0366
Passcode: Industry22

Florida GeoGebra Conference 2022
Register Here!

Sat., Feb 19
9:00 am
SE-43, rm. 215

The FAU Student Chapter of the Association for Women in Mathematics (AWM) presents:
Florida Women in Math Day ( regsitration: SE-43, rm. 215)

Guest Speakers:  Dr. William Hahn (FAU) and Dr. Katherine Stange (University of Colorado).

All information about the event, along with the registration information and event schedule, can be found on the event website.
Register for this free event here.
For questions, please contact us at awmfau@gmail.com.

January 2022

International Symposium on Artificial Intelligence and Mathematics (ISAIM 2022).  this meeting is being held virtually.  Regsitration is free.  The link will be distributed to those who regsiter for the ISAIM 2022 Conference at the ISAIM 2022 website.  

Logical Foundations of Computer Science (LFCS, 2022) Wyndham Deerfield Beach Resort.  

An Afternoon Tea Time
Hosted by the FAU Student Chapter of the Association for Women in Mathematics (AWM)

Sat., Jan 29
8-5 p.m.

December 2021

Fri. & Sat., Dec 10-11

Second International Workshop on Post-Quantum Cryptography (IWPQC 2021)

Keynote Speaker:  Dr. Edoardo Persichetti

Dr. Persichetti and long-timeime collaborator Paolo Santini we will talk about code-based cryptography. T

Talks will be "tutorial-style," at an introductory level, and the workshop includes several other related topics (lattices etc.).

Attendance is FREE! Links to join the Workshop event are on the website: https://sites.google.com/view/iwpqc/.

(times are in India time - will be in the morning Florida time).

Sat., Dec. 11
10:00-1:30pm

Masters of Science in Teaching Mathematics- Open House at FAU (Boca Raton campus)
Location:  Science Building (SE-43) Room 215

November 2021

AMC 10/12A Contest for 2021-22 School Year

AMC 10/12B Contest for 2021-22 School Year

MS Exam (Presentation): Amish Mishra 

Title: Computation of Persistent Homology Using the Delaunay-Rips Complex: An Efficient Family of Simplicial Complexes for Topological Data Analysis 

Abstract: Topological Data Analysis is an emerging area rooted in theories from Algebraic Topology, which enables researchers to extract discriminating geometric and topological features from data. We give an overview of some of the popular methods of extracting features from point-cloud data, which first requires one to construct a 1-parameter family of spaces on the data using the geometry of the cloud. We demonstrate their benefits and shortcomings and introduce a new, more efficient construction that we name the Delaunay-Rips Complex. We justify conditions on the data that guarantee stability of our method when computing persistent homology. Aided by intuitive examples, we also provide an empirical run-time comparison of the two existing methods with our new algorithm on the computation of the persistence diagrams of some synthetic data sets. 

Join Zoom Meeting: https://fau-edu.zoom.us/j/87643081351?pwd=Rk8xcUVncDhwbHdZK2EwRFU0MVFMZz09 

Meeting ID: 876 4308 1351
Passcode: John14:6 

FAU's AWM Chapter is thrilled to invite you to our November Watch Party event on Friday, November 19th, 4:00 p.m. at SE 215.

There will be free pizza, so we ask that you RSVP here to ensure we have enough for all attendees.

Dr. Eugenia Cheng will be giving a talk on Women in Math, Math in Music, and Music. For more information about Dr. Cheng and or the event, click here.

MS Exam (Presentation): Matthew Trang  

Title: Modules of Kahler Differentials 

Abstract: In algebra, the notion of Kahler differentials introduced by Erich Kahler in the 1930s gives us a way to adapt the notion of differential forms to arbitrary commutative rings. It has not only been used in commutative algebra, but also in algebraic geometry where the methods from calculus fail to apply. Besides, the module of Kahler differentials is a powerful tool for studying separable algebras over commutative rings and it is also applied to prove some criteria for regularity of local rings. In this presentation, we will give an introduction to derivations, the module of Kahler differentials, its universal mapping property as well as some of its basic properties. To finish the talk, we will provide a differential criterion for regularity of local rings, which geometrically gives us a way to determine if a variety is nonsingular or singular at some certain point. 

MS Exam (Presentation): David Snyder  

Title: The Three Subspace Problem

Abstract: Given a vector space and three subspaces, we are interested in the classification of all configurations up to an automorphism of the ambient space. Although this problem can be stated solely in terms of Linear Algebra, we will be using tools from Representation Theory to tackle this problem. 

October 2021

Mon., Oct. 4
2:00 pm

FAU's Student Chapter of the American Mathematical Society (AMS) will meet today on Zoom.

Meeting details:

Join Zoom Meeting

Meeting ID: 879 7272 7059

Passcode: e8dNJ8

PhD Dissertation Defense; Emmanuel Fleurantin 

Formation, Evolution, and Breakdown of Invariant Tori in Dissipative Systems: from Visualization to Computer Assisted Proofs 

Advisors: Dr. Jason Mireles-James and Dr. Vincent Naudot 

Please contact Dr. Hongwei Long <hlong@fau.edu>  for an electronic copy of the dissertation. A hardcopy of the dissertation is not displayed in the departmental office in order to avoid multiple people touching the same hardcopy at this pandemic time. 

Zoom Meeting information: 

Join Zoom Meeting 

Passcode: 476860 

Find your local number: https://fau-edu.zoom.us/u/kdeUNfkkq 

All are cordially invited to attend.

Join FAU's student Chapter of SIAM at a free networking Q&A event with expert panelists aimed at Math students interested in industry
Industry panelists will include Tess Kornfield, Director of Data and Analytics at thredUP, and David Morrison, Staff Engineer at Airbnb.
The event will be moderated by Richard Moore, Director of Programs and Services at SIAM.

https://bigmathnetwork.org/2021/10/04/big-math-network-industry-connection-series-online-marketplaces-thredup-airbnb/

FAU Math Day for High School
Register Here

     
FAU's student Chapter of the Association of Women in Mathematics (AWM) invites you to October's "An Afternoon Tea Time." 

Join Us For : We Speak: Inspiring Women in Math Speaker Series
In honor of AWM’s 50th Anniversary, each month we will feature a woman who has made a difference in the landscape of the mathematical sciences.

September 2021

FAU's Student Chapter of SIAM presents Professor Erik S. Van Vleck, University of Kansas who will give a talk entitled, Dimension Reduction in Data Assimilation.   

Please find the Zoom link and passcode below:

https://fau-edu.zoom.us/j/7263276757?pwd=YnhwSXUwVXN2TFhrVXpTZDhuamczdz09

Meeting ID: 726 327 6757

Passcode: Fall2021

FAU's student chapter of the Society of Industrial and Applied Mathematic (ISAIM) will host a talk to be given by Dr. Vajira A. Manathunga from the Middle Tennessee State University. 

Title:  An Epidemic Compartment Model for Economic Policy Directions for Managing Future Pandemic

Please find the zoom link and passcode below:

https://fau-edu.zoom.us/j/7263276757?pwd=YnhwSXUwVXN2TFhrVXpTZDhuamczdz09

Meeting ID: 726 327 6757

Passcode: Fall2021

FAU's Student Chapter of the Association of Women in Mathematics (AWM) will host "An Afternoon Tea Time" celebration of the AWM's 50th Anniversary!  Join us for Tea and a Zoom celebration.  Dare to Bee! 

For anyone, wanting to attend virtually, please register with AWM using the link:  https://ams.zoom.us/meeting/register/tZcpd-mupj4iH9Ahgvs3SZ0Du1fy8jjpThbr

July 2021

Fri., July 9
2:00 pm

PhD Dissertation Defense: Maxime Murray 

Homoclinic Dynamics in a Spatial Restricted Four Body Problem 

Advisor: Dr. Jason Mireles-James 

Join Zoom Meeting 

Meeting ID: 893 8133 4435 

Passcode: H4CJNt 

FAU's student chapter of SIAM presents:

John Gemmer, Ph.D.,Wake Forest University

Zoom: 
Meeting ID: 829 1824 9336
Passcode: Summer2021

June 2021

Mon., June 7
8:45 a.m.-12:00 p.m.

Micro Math Day
Crystal Lake Elementary School (5th grade)
Schedule to be posted here soon!

FAU's student chapter of SIAM presents:

Mary Silber, Ph.D.,University of Chicago

Abtract
Pattern Formation on the drylands: vegetation patterns captured by satellite images and by mathematical models

Aflyer for the event can be found here:  https://drive.google.com/file/d/1mLz5xjUY6s0Mqw_cebqksVZZu9OF7tR5/view?usp=sharing

Zoom: JOIN MEETING

Meeting ID: 829 1824 9336
Passcode: Summer2021

May 2021

Analysis and Applications Seminar:  End of Semester Presentation

Speaker:  Dr. Michael Epstein, Colorado State University

Title: Lemniscate Trees of Random Polynomials and Asymptotic Enumeration of Morse Functions on the 2-Sphere

Abstract: We'll consider two problems: first we'll investigate the nesting structure of lemniscate configurations associated to complex polynomials, and in the second part of the talk we'll determine the asymptotic for the number of geometric equivalence classes of Morse functions on the 2-sphere. Both the lemniscate configurations and the equivalence classes of Morse functions are enumerated by classes of labeled trees, and both problems are amenable to the methods of analytic combinatorics. Along the way we'll introduce some of the basic techniques in this fascinating area.

Join Zoom Meeting
https://fau-edu.zoom.us/j/82685243636?pwd=OHN2S1hYaDRnZXdwUGVESERYME0yZz09

FAU's Student Chapter of SIAM will host a movie screening event.

In Silico : Director Noah Hutton embarks on a 10-year project following a visionary neuroscientist’s quest to build a computer simulation of a brain. With unprecedented access to the inner workings of a multimillion-dollar scientific project led by Henry Markram and a roster of characters that involves the who’s who of neuroscience, the audience is led on a journey that poses provocative philosophical, ethical, and scientific questions.

You can find more information about the movie in the link here.

The link for RSVP is here, 

You may also follow our new Twitter page for the updates on all the upcoming events: Twitter page, and subscribe to our YouTube channel.

April 2021

MS Exam Presentation:  Yan Zhang

Title: Statistical Arbitrage Strategy in Multi-Asset Market Using Time Series Analysis 

Abstract: The statistical arbitrage strategy is widely used in financial investment. Almost all of current statistical arbitrage strategies focus on the price difference (spread) between two similar assets in the same asset class and exploit the mean reversion of spreads, i.e. pairs trading. This study extends the strategy to multiple assets in the multi-asset market and derives a mean-reverting portfolio by optimizing multiple mean-reversion criteria (the method is called PGP). By performing an empirical analysis, this study shows the profitability of the new strategy. 

Meeting information: 

Time: Apr 1, 2021 09:00 AM Eastern Time (US and Canada) 
Join Zoom Meeting: https://fau-edu.zoom.us/j/88001343306?pwd=TVd0aEVyaG12SEdWM0ZGdE5MOEdEUT09 

FAU's Student Chapter of the American Women in Mathematics AWM presents its Mathematical Journey video series!  The first showing will take place on Tuesday's Tea Time.  See the flyer here.  

FAU's Student Chapter of SIAM Colloquium Series presents:

Speaker: Dr. Sirani Perera, Embry-Riddle Aeronautical University
Title:  A Fast Algorithm for Beam Digitization
Zoom Meeting Information: https://fau-edu.zoom.us/j/82918249336?pwd=WTBydDZDdnlSclZQdDZsV2llelNDUT09 

Meeting ID: 829 1824 9336
Passcode: Spring2021

Visit and subscribe to our Youtube channel:  https://www.youtube.com/channel/UCLLIwl8E06aAfks2dNKve0g  for previous talks and follow our Twitter page ( @FAU_SIAMstudent) :  https://twitter.com/FAU_SIAMstudent  for upcoming announcements.

Sat., April 10
9 a.m. 

Florida GeoGebra Conference, 2021 (virtual conference)
Organizers:  Dr. Kasia Winkowska-Nowak and Edward Knote (Broward County Schools)

Mon., April 12

MS Exam Presentation

Speaker: Raneeta Dutta

Title: Bezout's Theorem 

Abstract: A major topic of Algebraic Geometry is the study of zero sets of families of polynomials. One of the " Great Theorems " in Algebraic Geometry is Bezout's Theorem, which deals with the intersection of curves in Projective Planes. The Theorem States: Let F and G are two projective plane curves with no "common component " , where the degrees of F and G are m and n respectively. Then the number of points of intersection of F and G is mn. In this presentation, I am going to define the concept of Projective Varieties Intersection Numbers and then to prove Bezout's Theorem.  

Meeting information: 

Topic: Raneeta Dutta's MS Exam ( Presentation)
Time: Apr 12, 2021 09:00 AM Eastern Time (US and Canada)

Join Zoom Meeting
https://fau-edu.zoom.us/j/5557573207?pwd=YkF3SEFja0grNXhJVTRlVUEzS0NNUT09

Meeting ID: 555 757 3207
Passcode: FMGW0Ua 

All are cordially invited. 

March 2021

Wed., March 3
10:00 a.m. – 2:00 p.m. and 3:00 p.m. - 5:00 p.m. 

FAU's Student Chapter of SIAM Presents: Virtual Career Fair, 2021
This event is free!  Information and Sign-up information here.

52nd Southeastern International Conference on Combinatorics, Graph Theory and Computing
Registration for SEICCGTC 52 will open in Fall, 2021!  Stay tuned.

SIAM: FAU Student Chapter presents Dr. Nancy Rodriguez, University of Colorado Boulder

Title: A story on relocation strategies, the Allee effect, and the Ideal Free Distribution.

Zoom Link:  https://fau-edu.zoom.us/j/82918249336?pwd=WTBydDZDdnlSclZQdDZsV2llelNDUT09 

Meeting ID: 829 1824 9336

Passcode: Spring2021

PhD Dissertation Defense: Jessica Khera (Ph. D. candidate)
Lonesum Matrices and Acyclic Orientations: Enumeration and Asymptotics
Advisor: Dr. Erik Lundberg 

February 2021

AMC-10/12A Contest for High School Students

AMC-10/12B Contest for High School Students

SIAM student chapter colloquium presents: 
Dr. Christopher K.R.T. Jones from the University of North Carolina at Chapel Hill

Title of Talk: Rate Induced Tipping and Climate

ZOOM Information:

https://fau-edu.zoom.us/j/82918249336?pwd=WTBydDZDdnlSclZQdDZsV2llelNDUT09 

FAU AWM Graduate Student Chapter to host virtual Florida Women In Mathematics Day 2021
A mini-conference designed to promote Women in Mathematics.
Registration is now Open!

The FAU-SIAM student chapter presents Dr. Yang Kuang, Ph.D. Professor of Mathematics, Arizona State University
Traveling Wave Solutions in Some Reaction Diffusion Models of Glioblastoma Growth

Please find the Zoom link and passcode below:
https://fau-edu.zoom.us/j/82918249336?pwd=WTBydDZDdnlSclZQdDZsV2llelNDUT09 

Meeting ID: 829 1824 9336

Passcode: Spring2021

January 2021

AWM- Spring semester's Tuesday Tea
Special focus on healthy mental health

December 2020

Algebraic Coding and Cryptography on the East Coast Seminar Series
Olgica Milenkovich - University of Illinois Urbana-Champaign

SIAM student chapter colloquium

Speaker: Professor Punit Ghandi, Virginia Commonwealth University

Title: Using pattern formation in the presence of spatial heterogeneity to learn about dryland ecosystems

 Zoom meeting information:   https://fau-edu.zoom.us/j/89453512223?pwd=eDA0NmkrTU50SjcyczhwYVVnZWxQUT09

Passcode: Fall2020 

Speaker: Niranga Udumulla (Masters Defense)

Title: Predicting Tropical Cyclone Intensity from Geosynchronous Satellite Images Using Deep Neural Networks 

Advisor: Dr. Francis Motta 

Abstract: 

Tropical cyclones are among the most devastating natural disasters for human beings and the natural and manmade assets in some parts of the United States. Therefore, estimating the current and future intensity of these powerful storms is crucial to protect life and property. National Hurricane Center (NHC) is one of the professional tropical storm intensity forecasting center located in Miami, Florida. NHC and NOAA (National Oceanic and Atmospheric Administration) are responsible for the tracking, monitoring, predicting cyclone formation and evolution around the United States. My study mainly focuses on estimate tropical cyclone intensity using Geostationary Operational Environmental Satellites (GOES) images, which have been capturing high spatial resolution images (1-4km2) of most of the globe every 30 minutes for decades. 

Please contact Dr. Hongwei Long for an electronic copy of the thesis. A hardcopy of the thesis is not displayed in the departmental office in order to avoid multiple people touching the same hardcopy at this pandemic time. 

Zoom meeting information: 

Join Zoom Meeting
https://fau-edu.zoom.us/j/83861078220?pwd=bTMzTm5JY0gwdytOYnNHMXNzWEVaZz09

Meeting ID: 838 6107 8220
Passcode: FiBn@8

Algebraic Coding and Cryptography on the East Coast Seminar Series
Christine Kelley - University of Nebraska-Lincoln

AWM to Host: End of Semester Tea Social 

You are cordially invited to grab your favorite tea or coffee and some popcorn to enjoy a live movie showing of The Man Who Knew Infinity . 

Zoom Link

November 2020

Algebraic Coding and Cryptography on the East Coast Seminar Series
Fernando Pinero - the University of Puerto Rico at Ponce

Analysis & Applications Seminar: Introduction to Loop Quantum Gravity 
Dr. Muxin Han, Physics, Florida Atlantic University  

Labeled Point Pattern Matching by Delaunay Triangulation and Maximal Cliques (by Hideo Ogawa)
Catherine Berrouet will present her MS Presentation (exam) 

Join Zoom Meeting: https://fau-edu.zoom.us/j/81672738144?pwd=R1RqbkZBOVFVZ1V1TkdLaU5mbEF3dz09 

Annihilators and A + B Rings
Alexandra Epstein, Ph D Defense.  Advisor: Dr. Lee Klingler

Initialize a Research Project: Dr. Kalies, Dr. Lundberg, and Kenneth Dowling  
Presented by: FAU's Student Chapter of the AWM (association of Women in Mathematics)

Join Zoom Meeting: 
https://fau-edu.zoom.us/j/86213845136?pwd=M3RMMXVSM3BMR2F1MjlnRkpvM3lLUT09

Meeting ID: 862 1384 5136
Passcode: PGvv58

Dr. Muxin Han will give a second talk on Loop Quantum Gravity.  

Analysis & Applications Seminar

Join Zoom Meeting
https://fau-edu.zoom.us/j/87820991584?pwd=dU45a1lHVktpVENBT2h4MEp1eExaUT09

AMC-8/Middle School Math Day
Registration now open!

Talk with Emma Thomas and Andrew Tirado 
Presented by: FAU Student Chapter of SIAM

Zoom meetings: https://fau-edu.zoom.us/j/84496035157?pwd=VExvRWhmZUxwRjNoTHJ6QmlBMVZUUT09
Passcode: Fall2020

Algebraic Coding and Cryptography on the East Coast Seminar Series
Travis Morrison - Virginia Tech  

Speaker: Juan Miranda will present: 

Title: Some Fixed-Point Theorems and Their Applications in Analysis 

Abstract: The fixed points of a map are important objects in analysis, and their existence gives us a simple yet powerful tool to obtain relevant results. In our set up, we prove some well-known results, as the completeness of the space C[a,b] under the d-sup metric, which complemented with fixed-point theorems leads to important conclusions. Then, we explore some fixed-point theorems, one of them Banach’s fixed point theorem, and their implications in Analysis; such as Picard’s existence and uniqueness theorem for a first order initial value problem, as well as second order.  

Meeting information: 

Join Zoom Meeting
https://fau-edu.zoom.us/j/87534837485?pwd=b1JiYTJxbk5BK1BkZnFZMGNycjVWUT09

Developing a Deep Learning Pipeline to Automatically Annotate Gold Particles in Immunogold-labeled Electron Microscopy Images
Diego Jerez: MSDSA Master's Presentation

Join Zoom Meeting:  https://mpfi.zoom.us/j/96032591758?pwd=L01uZTlJeGhuN0xiWEFPclJiSjV4dz09   Password: 415407

Talk with Christian Sampson, Ph.D.
Presented by: FAU Student Chapter of SIAM

Zoom meetings:   https://fau-edu.zoom.us/j/84496035157?pwd=VExvRWhmZUxwRjNoTHJ6QmlBMVZUUT09
Passcode: Fall2020

P-Spaces and Their Properties
Albert Madinya: Master's Presentation 

Join Zoom Meeting: https://fau-edu.zoom.us/j/89344154215?pwd=bDE4b1FUR2RXbjB4THFPbDNPbkZKQT09 

October 2020

Algebraic Coding and Cryptography on the East Coast Seminar Series
LDPC and MDPC codes in cryptography: are (decoding) failures acceptable? - Marco Baldi

Algebraic Coding and Cryptography on the East Coast Seminar Series
Nathan Kaplan - University of California, Irvine

Fri, October 23
4:00 p.m.

A Talk With David Hartmann, CEO, Silver Logic
Hosted by FAU's Student Chapters of the AWM, SIAM and AMS

FAU Math Day for High School Students
Registration now open!

Tues, October 27
4:00 p.m.

Tuesday Tea Time: Intellectual Property: Patents, Copywrites and Trademarks
Hosted by FAU's Student Chapter of the Association for Women in Mathematics (AWM)
RSVP here!

An international initiative of predicting the SARS-COV-2 pandemic using ensemble data assimilation.
FAU's student chapter of SIAM presents Dr. Geir Evensen, Ph. D. 

ZOOM: Meeting ID: 846 8652 5817; Passcode: Fall2020

September 2020

GRADUATE COLLEGE
OPEN HOUSE

Hopin Virtual Event Platform

At the annual Graduate College Open House, you will have the opportunity to learn why FAU should be your first choice for graduate education. The Fall 2020 Open House will take place Thursday, September 24, 2020 from 4:00 - 7:00 p.m. via Hopin Virtual Event Platform. During the Open House, attendees will have the opportunity to:

• Explore 100+ nationally ranked Master's, Specialist, and Doctorate graduate programs with flexible options for evening, weekend, and online courses

• Interact with distinguished faculty and admissions representatives

• Learn about fellowships, assistantships, and financial aid

• Learn about graduate student services and support

August 2020

Fri., August 21, 2020

2:00 p.m.

Speaker: Maira Verner will present: 

Title: Krull’s Principal Ideal Theorem and Systems of Parameters for a Local Ring 

Abstract: In this presentation we prove Krull’s principal ideal theorem, one of the workhorses of commutative algebra. This theorem can be generalized to ideals that are not principal, and the result is often called Krull's height theorem, which is a cornerstone of the dimension theory of Noetherian rings. It states that any minimal prime ideal of an ideal generated by n elements in a Noetherian ring has height at most n. As corollaries, we obtain the existence of systems of parameters of Noetherian local rings, and the fact that every Noetherian local ring has finite dimension. Along the way, important lemmas are proved, such as Nakayama’s lemma.  

Meeting information: 

Time: Aug 21, 2020 02:00 PM Eastern Time (US and Canada)

Join Zoom Meeting
https://us04web.zoom.us/j/74130101889?pwd=MmRMeDY4cEhod2YzeG5NMUVBbzlVdz09

Meeting ID: 741 3010 1889
Passcode: 26BDun 

All are cordially invited. 

Friday, August 28, 2020

8:00 a.m.

Yuganthi Liyanage will present: 

Title: The Dual Space of the Classical Sequence Spaces in Functional Analysis 

Abstract: The dual space of a Banach Space plays a central role in functional analysis which deals with the space of all continuous linear functionals on real or complex Banach Space. In this presentation, we introduce the classical sequence spaces with their dual spaces and obtain some relations between them. 

Meeting information: 

Meeting link: 

https://fau.webex.com/fau/j.php?MTID=m7e856c4d9ad2c8bc7b30fa6ec5b5237b 

Meeting number: 120 489 4640 

Password: ZAdCWxMD733 

Host key: 220839 

All are cordially invited.

July 2020

Mon., July 27, 2020
4:00 p.m.

M.S. Student Presentation

Speaker: Bishal Dhakal

Title: Existence of Solutions of Initial Value Problems

Abstract: In the beginning of the study of differential equations, the focus is on finding explicit solutions, focusing on solving the underlying physical problems. Then immediately after multiple questions arises, such as – if a starting point for a solution of differential equations is given, does the solution always exist? If it exists, how long does it exist and is there only one such solution? In this presentation, we are going to answer some of the above questions. We are studying this because its importance grew more and more over time then the beginning of the nineteenth century when it was first introduced by Cauchy. It is useful significantly to delay equations, functional differential equations, partial differential equations or stochastic differential equations and finite- and infinite dimensional dynamical systems.

Meeting link:  https://fau.webex.com/fau/j.php?MTID=m10f9a3fa0aa9f90f15abfe119933aa70

Meeting number: 120 536 8062

Password: kPK2gtfdT68

Host key: 286798

Mon., July 20, 2020

4:00 p.m.

PhD Dissertation Defense 

Speaker: Sunil Giri

Title: Infection Age Structured Vector Borne Disease Model with Direct Transmission

Advisor: Dr. Necibe Tuncer

Abstract:

Mathematical modeling is a powerful tool to study and analyze the disease dynamics prevalent in the community. This thesis studies the dynamics of two time since infection structured vector borne models with the direct transmission. We have included disease induced death rate in the first model to from the second model. The aim of this thesis is to analyze whether these two models have same or different disease dynamics. An explicit expression for the reproduction number denoted by R₀ is derived. Dynamical analysis reveals the forward bifurcation in the first model. That is when the threshold value R₀ < 1, disease free equilibrium is stable both locally and globally implying disease dies out from the population. When R₀ > 1 existence of unique endemic equilibrium is locally asymptotically stable.

For the second model, analysis of the existence and stability of equilibria reveals the existence of backward bifurcation i.e. where the disease-free equilibrium coexists with the endemic equilibrium when the reproduction number R₀₂ is less than unity. This aspect shows that in order to control vector borne disease, it is not sufficient to have reproduction number less than unity although necessary. Thus, the infection can persist in the population even if the reproduction number is less than unity. Numerical simulation is presented to see the bifurcation behavior in the model. By taking the reproduction number as the bifurcation parameter, we find the system undergoes backward bifurcation at R₀₂ = 1. Thus, the model has backward bifurcation and have two positive endemic equilibrium when R₀₂ < 1 and unique positive endemic equilibrium whenever R₀₂ > 1. Stability analysis shows that disease free equilibrium is locally asymptotically stable when R₀₂ < 1 and unstable when R₀₂ > 1. When R₀₂ < 1, lower endemic equilibrium in backward bifurcation is locally stable

Please contact Dr. Hongwei Long <hlong@fau.edu>  for an electronic copy of the dissertation. A hard copy of the dissertation is not displayed in the departmental office in order to avoid multiple people touching the same hard copy at this pandemic time.

Webex meeting information:

https://fau.webex.com/fau/j.php?MTID=m5c244037c6465aa0f9789775ac9c4d88

Meeting number (access code): 1200818367

Meeting password: yHreM67pMn3

Monday, July 20, 2020; 4:00 p.m.

All are cordially invited.

Thurs., July 20. 2020

1:00 p.m.

Speaker: Kenneth Alex Dowling will present:

Title: Continuation in Dynamics

Authors: K. Alex Dowling, William Kalies, Robert Vandervorst

Abstract: In this work, we describe continuation of structure in families of dynamical systems using category, sheaf, and lattice algebras. We start by framing many well-known concepts in dynamics, such as attractors or invariant sets, as functors on a category of dynamical systems into a category of lattices or posets. Then, we construct sheaves from such functors, which encode data about the continuation of structure as system parameters vary. Similarly, we build morphisms for these sheaves from natural transformations. This framework is then applied to a variety of lattice algebras associated to dynamical systems, whose algebraic properties carry over to their respective sheaves. Furthermore, we show the cohomology groups of these sheaves contain information about bifurcations of the system. We give several examples relating the structure of these groups to information about the type of bifurcation.

Meeting information:

Join Zoom Meeting

https://us02web.zoom.us/j/84851896573

Meeting ID: 848 5189 6573

All are cordially invited.

Wed., July 15, 2020
10:00 a.m.

Speaker: Amir Alipour Yengejeh 

Title: Survival Analysis with Cox Proportional Hazard Deep Learning Neural Networks

Abstract: Survival models are used to explore and understand the relationship between individuals’ covariates (e.g. clinical and genetic features) and the effectiveness of various treatment options. There are two types of models:

1. Standard survival models: Cox proportional hazards model.

2. Nonlinear survival models: Neural network and survival forest.

The main problem of standard models is that they need extensive feature engineering, prior (medical) knowledge, or pre-assumptions to model treatment interaction at individual level, while nonlinear can inherently model these high-level interaction terms. One of the conspicuous nonlinear models is DeepSurv: A Cox proportional hazards deep neural network.

In this work, through the results of training DeepSurv on the simulated and real survival data, we will show that the performance of DeepSurv in modeling highly complex relationships between an individual’s covariates and their risk of failure is as well as or better than others. The capabilities of DeepSurv in the prediction and modeling can enable researchers to use deep neural network as a tool in their exploration, understanding, and prediction of the effects of a individuals' characteristics on their risk of failure. 

Meeting information:

• Link:

  https://fau.webex.com/fau/j.php?MTID=me009a97ad5b6079c6f2cf5650e2ae008

• Meeting ID: 120 869 2790

• Password: SAyVZGuw633

All are cordially invited.

Wed., July 15, 2020
1:00 p.m.

PhD Dissertation Defense 

Speaker: Shaun Miller

Title: Algorithms in Lattice-Based Cryptanalysis

Co-Advisors: Dr. Shi Bai and Dr. Rainer Steinwandt

Abstract:

An adversary armed with a quantum computer has algorithms at their disposal, which are capable of breaking our current methods of encryption. Even with the birth of post-quantum cryptography, some of the best cryptanalytic algorithms are still quantum. This thesis discusses the cryptanalysis of lattice-based cryptography using classical and quantum algorithms. Several experiments are conducted concerning the efficacy of lattice reduction algorithms, BKZ and LLL. In particular, the difficulty of solving Learning With Errors is assessed by reducing the problem to an instance of the Unique Shortest Vector Problem. The results are used to predict the behavior these algorithms may have on actual cryptographic schemes with security based on hard lattice problems. Lattice reduction algorithms may require several floating-point operations including multiplication. In this thesis, I consider the resource requirements of a quantum circuit designed to simulate floating-point multiplication with high precision. 

Please contact Dr. Hongwei Long <hlong@fau.edu>  for an electronic copy of the dissertation. A hard copy of the dissertation is not displayed in the departmental office in order to avoid multiple people touching the same hard copy at this pandemic time.

Webex meeting information:

https://fau.webex.com/fau/j.php?MTID=m79e714c27cf627d057abd8d8c21271e7

All are cordially invited.

Tues., June 23, 2020

5:00 p.m.

The FAU AWM Graduate Student Chapter has considered the drastic changes that COVID-19 has had on the education as well as professional standards. The requirements to transit to an all-virtual learning environment can be inconvenient even for non-beginners. This live question and answer session is to raise solutions and have an open discussion on the various resources known and used by experts to alleviate the burden on students and academic professionals working within the mathematical sciences to adjust to these changes. We hope to enhance a smoother transition to virtual learning environments and that the information will be vital for everyone involved.

Tuesday Tea's are an on-going initiative that the FAU AWM Chapter has practiced in order to promote functional and meaningful conversations within mathematics and the STEM communities, to continue building professional and social networks amongst student-to-student relations, academic faculty, as well as industry professionals.

This event is open to anyone interested in mathematics at FAU and neighboring institutions! Please sign up so that we can contact you with relevant information in the future. We would love to connect with you!

May 2020

 Wed., May 20, 2020

3:00 pm

MS Presentation:

Speaker: Leila Mirsaleh Kohan (via WebEx):

Title: DYNAMIC AND CONTROL OF AUTOIMMUNE DISORDER UNDER RADIATION

Abstract:  Autoimmune diseases can be developed by exposure to radiation. Ionizing radiation modifies the immune system and diminishing its normal ability to fight diseases.  The extents of the modifications depend on the dose rate and duration of radiation exposure.  This work employs mathematical simulations of autoimmune process dynamics under irradiation. The mathematical model employed in this work consists of four non-linear differential equations.  The variables used in the modeling are the concentration of target cells of the tissue, concentration of cytotoxic T-lymphocytes, the concentration of tissue-specific antigen, and the concentration of T-suppressor cortical thymus.

WebEx information:

Meeting number (access code):472 769 468
Meeting password: May20
JOIN BY PHONE +1-415-655-0003 US Toll

All are cordially invited. 

Thurs., May 21, 2020
10:50 am-12:30 pm

FAU SIAM Student Chapter Presents

Speaker: Dr. Christopher Tralie, Ursinus College
Title: TDALabs: (Some of) TDA's Greatest Hits in Interactive Python
Abstract: Abstract: TDA software is becoming more mainstream and accessible to both mathematicians in the field and to data scientists at large. Recently, I worked as part of a small team of open source software developers to create a Python library known as scikit-tda (https://scikit-tda.org/). In addition to using this library in myriad research applications, I have also been developing a compendium of examples for pedagogical purposes, some of which are in a repository I call "TDALabs" (https://github.com/ctralie/TDALabs). In this talk, I will interactively go through a number of these examples, including a demo of the stability theorem, sliding windows in time series and video, the natural space of image patches, diffusion maps and TDA, lower star image filtrations for cell segmentation in images, mesh reconstruction via alpha shapes, and isometry blind 3D shape clustering. It is the hope that people will be inspired to use these materials in their own courses and workshops, and it is also the hope that some will help me build on them and contribute additional concise examples that showcase their work. Pull requests are welcome!

WebEx meeting information:
Meeting number (access code): 476386156
Password: SIAM
Join Meeting

SPRING 2020 SEMESTER: January - May 2020

 January 24 - 25, 2020
 8:00 am - 4:30 pm

Florida GeoGebra Conference

Friday, Jan 24  - Pompano Beach High School

Saturday, Jan 25 - Florida Atlantic University

 Thurs, January 30, 2020
 1:00 pm

American Mathematics Competition 10/12A

Annual AMC Contests for Middle and High School Students

FAU Boca Raton Campus

Saturday, February 1, 2020

Florida Women in Mathematics Day

FAU, Boca Raton Campus

 Weds, February 5, 2020
 2:00 pm

American Mathematics Competition 10/12A

Annual AMC Contests for Middle and High School Students

FAU Boca Raton Campus

Wed, February 12, 2020                                   
4:00 pm; SE 215  

Algebra Seminar: Dr. Warren McGovern: Possible Theorem About Semi-Clean Group Rings

Thurs, February 13, 2020
11:00 am; SE-215

Dr. Jason Mireles-James, Florida Atlantic University

Title: Collision dynamics in some gravitational N-body problems
Abstract: The equations of motion for gravitating bodies have singularities when any two of the bodies occupy the same point in space, i.e. when there is a collision.  It is well known, but still quite interesting, that one can make sense of orbits that ``go through'' collisions by a process called regularization.  I'll introduce the idea of regularization and illustrate its use in some numerical calculations

Mon, February 17, 2020
11:00 am; SE-215

Dr. Yan Zhang; Functional annotation of genomic elements using deep learning techniques

Wed, February 19, 2020
4:00 pm. SE-215

Algebra Seminar with Dr. Zvi Rose, Department of Mathematical Sciences, Florida Atlantic University

Title: Oriented Matroids and Combinatorial Neural Codes.
Abstract: A combinatorial neural code is convex if it arises as the intersection pattern of convex open subsets of Euclidean space. We relate the emerging theory of convex neural codes to the established theory of oriented matroids, in both a category-theoretic sense and with respect to feasibility and complexity. By way of this connection, we prove that all convex codes are related to some representable oriented matroid, and we show that deciding whether a neural code is convex is NP-hard.

Thurs, February 20, 2020
11:00 am; SE 215

Dr. Yang Li: Modeling Spatial and Spatio-temporal Process on the Sphere with Convolution

Mon, February 24, 2020
4:00 pm; SE-215

Crypto Café with Floyd Johnson, Florida Atlantic University

Title: An Introduction to Quantum Key Distribution
Abstract: Quantum mechanics was one of the greatest scientific breakthroughs of the last century with applications still being found.  Since the 1970’s mathematicians and physicists have been exploring how quantum mechanics can be used in cryptography to achieve previously thought impossible results.  In this talk, we will give an overview of the problem of key establishment and how quantum phenomena can be used to achieve secure key establishment

Wed, February 26, 2020
4 pm; SE-216

Algebra Seminar with Zvi Rose, Florida Atlantic University

Title: Oriented Matroids and Combinatorial Neural Codes
Abstract: A combinatorial neural code is convex if it arises as to the intersection pattern of convex open subsets of Euclidean space. We relate the emerging theory of convex neural codes to the established theory of oriented matroids, in both a category-theoretic sense and with respect to feasibility and complexity. By way of this connection, we prove that all convex codes are related to some representable oriented matroid, and we show that deciding whether a neural code is convex is NP-hard.

Fri, February 28, 2020
4 pm; SE-215

Title: Combinatorial Game Theory
Abstract: This will be a talk which begins with the game of Nim and Sprague-Grundy numbers. We will then discuss a few newer games and some recent results.  The level of the talk should be suitable for graduate students and even some interested undergraduates.

Wed, March 4, 2020
4 pm; 5:00 p.m.
Jupiter Campus 

Algebra Seminar with Robert Raphael, Department of Mathematics and Statistics at the University of Concordia

Title: The countable lifting problem and the reduced-ring partial order.
Abstract: The origins of the countable lifting problem, the work of Topping and Conrad. The case of C(X) by Hager and the speaker. The RR-order on reduced rings. What it means for Boolean rings and for domains.  The algebraic results. Weakly Baer rings and almost weakly Baer rings. The topological results. RR-good spaces. When are products of rr-good spaces rr-good?

 March 9 - 13, 2020
 8:00 am - 5:00 pm

Southeastern International Conference on Combinatorics, Computing, and Graph Theory

Student Hospitality Center

 Sat, March 14, 2020
 8:00 am - 3:30pm

FAU Math Day

16th Annual FAU Math Day - RESCHEDULED
FOR SATURDAY, October 24, 2020 - CHECK BACK SOON FOR UPDATES

FAU Boca Campus

Wed., April 15, 2020
2:00  p.m.

Master's Presentation with Melissa De Jesus

Title: Stability Analysis of the SIR model
Abstract:  The SIR model is one way that we can analyze how the spread of a disease effects a population overtime.  In this model, the spread of a disease divides our population into 3 non-intersecting classes: susceptible, infected, and recovered.  By studying the dynamics of this system, we are able to predict how the disease will behave in the population. We are interested in the stability of the equilibria points which will help us decide whether a disease will die out, or if it will stabilize itself.

WebEx information:
https://fau.webex.com/fau/j.php?MTID=m1dcefaca5c128b7e0c386ae32644cb6d
Meeting number (access code): 475 541 943 
Meeting password: GEb3G4VfFt3 
JOIN BY PHONE +1-415-655-0003 US Toll

Fri., April 17, 2020
1:00 p.m.

Virtual Student Presentation with Noah Corbett

Title: The Stable Manifold Theorem
Abstract:  In this talk, we set up the necessary framework to state the Stable Manifold Theorem for a hyperbolic fixed point.  We then proceed to prove the theorem in detail.  

WebEx information:
https://fau.webex.com/fau/j.php?MTID=m4a8f4ecf5db9fb87837401224f571ed3
Meeting number (access code): 472 811 477
Meeting password: 20200417-MS
JOIN BY PHONE +1-415-655-0003 US Toll

All are cordially invited. 

Fri., April 17, 2020
3:00 p.m.

Ph.D. Dissertation Defense with Jorge Gonzalez 

https://fau.webex.com/fau/j.php?MTID=m187e82a5cb0e7be96ef8409fd72a0ab0
Meeting number (access code): 478 231 370
Meeting password: 20200417

Tue., May 5, 2020
4:00 p.m.

FAU's Student Chapter of the AWM Care To BEE Event

Dr. Nina Fefferman will be joining us live on Webex for a problem-solving session based on topics from a pre-recorded webinar from NIMBioS,  "The Role of Applied Math in Real-time Pandemic Response How Basic Disease Models Work"

Dr. Nina Fefferman is a mathematical biologist with a long history of work on biosecurity and pandemic preparedness and response. She has consulted in this area for state and federal agencies and departments on threats including TB, Ebola, Zika virus, H1N1 2009, and many others, now including COVID-19. She is a professor in the Departments of Mathematics and Ecology & Evolutionary Biology at the University of Tennessee, Knoxville. Dr. Fefferman directs the Mathematical Modeling Center at the National Institute for Mathematical and Biological Synthesis.

Abstract: It's not normally instantly obvious what mathematicians do. It's also not normal to be able to use middle-school math to help try to save the world. Right now, things are not normal. Join us for "The role of applied math in real-time pandemic response: How basic disease models work" for a presentation about how very simple, middle-school math (and much fancier versions of the same thing) can help us fight COVID-19.

Be sure to register online. This conference is open to anyone interested in mathematics at FAU and neighboring institutions! Please sign up so that we can contact you with relevant information. Also, if you would like to provide a mailing address, we will be sending out promotional items (note this is optional). 

This initiative was made possible by the generous support of Lisa Simonyi, the IAS Women and Mathematics Program, and the FAU Department of Mathematical Sciences.

Mon, May 11, 2020
CANCELED

Order in Algebra and Logic Conference 2020

CANCELED