202223 Department of Mathematics Events 
April 2023 

Sat., Apr. 1 
FAU Math Day (for high school students)
For more information: http://www.math.fau.edu/faumathdays.php 

March 2023 

MonFri., March 610
Student Union, FAU 8:00 am  5:00 pm 
54th Southeastern International Conference on Combinatorics, Graph Theory and Computing 

February 2023 

Sat., Feb. 18 
FAU's Association for Women in Mathematics (AWM) to host Florida Women in Math Day For more information: http://www.math.fau.edu/awm/index.php 

January 2023 

Sat., Jan. 21 
FAU AMC8 Middle School Math Day For more information: http://www.math.fau.edu/amccontests/amc8.php 

December 2022 

Sat., Dec. 3
PS 109 2:304:00 pm 
Math Circle for Middle School Math Circle for Middle School is your opportunity to have some fun with mathematics while learning something in the process. We will be discussing and solving problems, having friendly competitions, and playing mathematical games. Math Circle for Middle School will be meeting every other Saturday, beginning Saturday, September 24, 2022. Math Circle for Middle School Flyer For more information: http://www.math.fau.edu/mathcircle/ 

Sat., Dec. 17
PS 109 2:304:00 pm 
Math Circle for Middle School Math Circle for Middle School is your opportunity to have some fun with mathematics while learning something in the process. We will be discussing and solving problems, having friendly competitions, and playing mathematical games. Math Circle for Middle School will be meeting every other Saturday, beginning Saturday, September 24, 2022. Math Circle for Middle School Flyer For more information: http://www.math.fau.edu/mathcircle/ 

November 2022 

Sat., Nov. 5
PS 109 2:304:00 pm 
Math Circle for Middle School Math Circle for Middle School is your opportunity to have some fun with mathematics while learning something in the process. We will be discussing and solving problems, having friendly competitions, and playing mathematical games. Math Circle for Middle School will be meeting every other Saturday, beginning Saturday, September 24, 2022. Math Circle for Middle School Flyer For more information: http://www.math.fau.edu/mathcircle/ 

Thurs., Nov. 10 
American Mathematics Competitions (AMC 10/12A) FAU's Department of Mathematical Sciences will host the AMC 10/12A on the Boca Raton Campus. Please regsiter your student for the AMC 10/12A. 

Wed., Nov. 16 
American Mathematics Competitions (AMC 10/12B) FAU's Department of Mathematical Sciences will host the AMC 10/12B on the Boca Raton Campus. Please regsiter your student for the AMC 10/12B. 

Sat., Nov. 19 PS 109 2:304:00 pm 
Math Circle for Middle School Math Circle for Middle School is your opportunity to have some fun with mathematics while learning something in the process. We will be discussing and solving problems, having friendly competitions, and playing mathematical games. Math Circle for Middle School will be meeting every other Saturday, beginning Saturday, September 24, 2022. Math Circle for Middle School Flyer For more information: http://www.math.fau.edu/mathcircle/ 

October 2022 

Sat., Oct. 8

Math Circle for Middle School Math Circle for Middle School is your opportunity to have some fun with mathematics while learning something in the process. We will be discussing and solving problems, having friendly competitions, and playing mathematical games. Math Circle for Middle School will be meeting every other Saturday, beginning Saturday, September 24, 2022. Math Circle for Middle School Flyer For more information: http://www.math.fau.edu/mathcircle/ 

Sat., Oct. 22 
Math Circle for Middle School Math Circle for Middle School is your opportunity to have some fun with mathematics while learning something in the process. We will be discussing and solving problems, having friendly competitions, and playing mathematical games. Math Circle for Middle School will be meeting every other Saturday, beginning Saturday, September 24, 2022. Math Circle for Middle School Flyer For more information: http://www.math.fau.edu/mathcircle/ 

September 2022 

Thurs., Sept. 8 SE 215 11:00 am 
Analysis and Applications Seminar* * The Analysis and Applications Seminar will take place every Thursday in SE 215 at 11:00 a.m. (Fall, 2022) Speaker: Erick Lundberg Title: What is the expected number of limit cycles that bifurcate from a randomly perturbed center? Abstract: We consider the average number of limit cycles bifurcating from a perturbed linear center where the perturbation consists of random (bivariate) polynomials with independent coefficients. This problem reduces, by way of classical perturbation theory of the Poincaré first return map, to a problem on the real zeros of a random univariate polynomial. Even though real zeros of random univariate polynomials have been studied in great depth, the particular model arising in this problem falls right at the edge of the wellstudied cases. We present the solution to this problem and discuss other interesting questions related to limit cycles of planar systems with random coefficients. All are invited! 

Wed., Sept. 14
SE 215 4:00 pm 
Crypto Cafe
Speaker
: Sulani Thakshila, Florida Atlantic University Abstract: The NTRU cryptosystem is a computational problem introduced in 1996 based on lattices. ModuleNTRU lattices generalize NTRU lattices and possess more benefits on the flexibility of ring dimension. In this talk, I will present FiatShamir signatures based on the inhomogeneous variant of ModuleNTRU problem. I will present two signature schemes. The first scheme is a lossy identification scheme secure in the QROM. The second scheme is a BLISSlike signature secure in the classic ROM. Zoom: https://fauedu.zoom.us/j/81002845566?pwd=SUVyWktMTHRSd1FiMVM3dy9UUFM0QT09 

Thurs., Sept. 15 SE 215 11:00 am 
Analysis and Applications Seminar Speaker: Dr. Jason MirelesJames Title: A trefoil knot in the Lorenz equations Abstract: A two parameter family of threedimensional vector fields is said to have a Tpoint if there is a value of the parameters so that the one dimensional stable and unstable manifolds attached to the equilibrium solutions intersect so that they form a trefoil knot. This requires us to move two parameters, as the intersection of onedimensional curves in threedimensional space is very degenerate. The existence of Tpoints has important dynamical implications, which I will review very briefly. It has been conjectured (based on numerical evidence) that the Lorenz equations (with one parameter fixed and two free) admit T points. I'll develop a functional equation which, if it has a solution, establishes the existence of a Tpoint. Using power series representations we can project the functional equation into finite dimensions, and then solve it using Newton's method. Once a good enough numerical approximation has been found, one can try to establish the existence of a true solution nearby by verifying the hypotheses of a NewtonKantorovich theorem. This provides a recipe for a computer assisted proof of the existence for T points in explicit two parameter families like the Lorenz system. This is joint work with Sheldon Newhouse. 

Thurs., Sept. 15 SE 215 57 pm 
FAU's Math Club First meeting of FAU's Math Club for the 20222023 Academic Year! All are invited to attend and join the Math Club. We look forward to seeing you there 

Thurs. Sept. 22 SE 215 11:00 am 
Speaker: Dr. Jason MirelesJames Title: A trefoil knot in the Lorenz equations Abstract: A two parameter family of threedimensional vector fields is said to have a Tpoint if there is a value of the parameters so that the one dimensional stable and unstable manifolds attached to the equilibrium solutions intersect so that they form a trefoil knot. This requires us to move two parameters, as the intersection of onedimensional curves in threedimensional space is very degenerate. The existence of Tpoints has important dynamical implications, which I will review very briefly. It has been conjectured (based on numerical evidence) that the Lorenz equations (with one parameter fixed and two free) admit T points. I'll develop a functional equation which, if it has a solution, establishes the existence of a Tpoint. Using power series representations we can project the functional equation into finite dimensions, and then solve it using Newton's method. Once a good enough numerical approximation has been found, one can try to establish the existence of a true solution nearby by verifying the hypotheses of a NewtonKantorovich theorem. This provides a recipe for a computer assisted proof of the existence for T points in explicit two parameter families like the Lorenz system. This is joint work with Sheldon Newhouse.


Thurs., Sept. 22 SE 215 5:00 pm 
FAU's Math Club First meeting of FAU's Math Club for the 20222023 Academic Year! All are invited to attend and join the Math Club. We look forward to seeing you there. 

Sat., Sept. 24 PS 109 2:304:00 
Math Circle for Middle School Math Circle for Middle School is your opportunity to have some fun with mathematics while learning something in the process. We will be discussing and solving problems, having friendly competitions, and playing mathematical games. Math Circle for Middle School will be meeting every other Saturday, beginning Saturday, September 24, 2022. Math Circle for Middle School Flyer For more information: http://www.math.fau.edu/mathcircle/ 

Tues., Sept. 27 SE 215 4:00 pm 
Crypto Café Speaker: Dr. Edoardo Persichetti Topic(s): Ongoing work on postquantum cryptographic group actions, in various contexts (type of groups, etc). All are invited to attend! For the list of past talks, please see http://www.math.fau.edu/crypto_cafe.php
A new mail list
crypto_math@lists.fau.edu is created for crypto related annoucements. 

Fri., Sept. 30 SE 215 4:00 pm 
TeaTime , hosted by FAU's Student Chapter of the Association for Women in Mathematics (AWM). Special Guest: Amish Mishra Topic(s): Summer internship experience, Summer, 2022 Join us for some pizza and enjoy listening to Amish's story. All are invited. Please register here: https://forms.gle/1QMmPqzHgeJtygbT8 and forward this invitation to anyone who may be interested. 

August 2022 

Fri., Aug 5 


Aug., 11 
PhD Dissertation Defense (Thursday, August 11, 1:00 pm) in SE 215 (inperson with remote access): Speaker: Bikram Bhusal, PhD Candidate Title: Stability Analysis and Parameter Estimation of a Stochastic Logistic Growth Model with Multiplicative AlphaStable 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 alphastable Lévy noises are more appropriate to model such statistical behavior of nonGaussian processes with heavytailed 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 alphastable Lévy noise. We mainly focus on onedimensional stochastic logistic jumpdiffusion processes driven by Brownian motion and alphastable Lévy motion. First, we present the stability analysis of the solution of a stochastic logistic growth model with multiplicative alphastable 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://fauedu.zoom.us/j/81740421843?pwd=ekN5dTNpd2d2V01CQ2g5Y2lwRzFldz09 

Aug., 17 
PhD Dissertation Defense (inperson with remote access). Speaker: Duval Zephirin (Ph.D. candidate) Title: Optimal Portfolio for the Informed Investor in Mispriced Lévy Market with Stochastic Volatility and Power Utility Advisor: Dr. Hongwei Long Abstract: We consider a portfolio optimization problem in stochastic volatility jumpdiffusion model. The model is a mispriced Levy market that contains informed and uninformed investors. Contrarily to the uninformed investor, the informed investor knows that a mispricing exists in the market. The stock price follows a jumpdiffusion process, in which the mispricing and volatility are modelled by OrnsteinUhlenbeck (OU) process and CoxIngersollRoss (CIR) process, respectively. We only present results for the informed investor whose goal is to maximize utility from terminal wealth over a finite investment horizon under the power utility function. We employ methods of stochastic calculus namely HamiltonJacobiBellman equation, instantaneous centralized moments of returns and threelevel CrankNicolson method. We solve numerically the partial differential equation associated with the optimal portfolio. Under the power utility function, analogous results to those in the jumpdiffusion model under logarithmic utility function and deterministic volatility are obtained. Meeting information: Topic: Ph.D. Dissertation Defense for Duval Zephirin Time: Aug 17, 2022 02:00 PM Eastern Time (US and Canada) Join Zoom Meeting https://fauedu.zoom.us/j/89312497707?pwd=K3lQQWxNOTc1TlFmaUZ6OUxOTG5OUT09 

Aug 1421

2022 Combinatorics, Computing, Group Theory and Applications in South Florida Early Registration: June 1, 2022 

Aug., 31
SE 215 5:00 pm 
Crypto Cafe is back on Wednesdays, every other week this fall, 2022! Join us for Crypto Cafe on Wednesday, August 31th. The Crypto Cafe Schedule and recording will appear the the Crypto Cafe Website
Speaker
: Francesco Sica, Florida Atlantic University 

July 2022 

Jul., 2529
8:30 am5:00 pm 
Young CryptograpHers Summer Camp (In the Sandbox) 

Jul., 19 
MS Exam: Keegan Lee (on ZOOM) Title: A SubexponentialTime 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: 

Jul., 18 
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 threebody 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 Meeting ID: 843 0491 4882 

June, 2022 

Fri., June 10 
PhD Dissertation Defense Speaker: Binod Rimal (Ph.D. Candidate) Title: Financial Timeseries Analysis with Deep Neural Networks Advisor: Dr. William Hahn, Florida Atlantic University, 2016 Abstract: Financial timeseries data are noisy, volatile, and nonlinear. The classic statistical linear models may not capture those underlying structures of the data. The rapid advancement in artificial intelligence and machine learning techniques, availability of largescale data, and increased computational capabilities of a machine opens the door to developing sophisticated deep learning models to capture the nonlinearity and hidden information in the data. Creating a robust model by unlocking the power of a deep neural network and using realtime data is essential in this tech era. This study constructs a new computational framework to uncover the information in the financial timeseries data and better inform the related parties. It carries out the comparative analysis of the performance of the deep learning models on stock price prediction with a wellbalanced set of factors from fundamental data, macroeconomic data, and technical indicators responsible for stock price movement. We further build a novel computational framework through a merger of recurrent neural networks and random compression for the timeseries analysis. The performance of the model is tested on a benchmark anomaly timeseries dataset. This new computational framework in a compressed paradigm leads to improved computational efficiency and data privacy. Finally, this study develops a custom trading simulator and an agentbased hybrid model by combining gradient and gradientfree optimization methods. In particular, we explore the use of simulated annealing with stochastic gradient descent. The model trains a population of agents to predict appropriate trading behaviors such as buy, hold, or sell by optimizing the portfolio returns. Experimental results on S\&P 500 index show that the proposed model outperforms the baseline models. 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. 

May, 2022 

Thurs., May 19 SE 215 2:00 pm 
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 CoAdvisors: Dr. Necibe Tuncer and Dr. Jason MirelesJames
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 diseasefreeequilibrium 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 addictiononly 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, HIVonly 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 antiretroviral 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 SARSCoV2 model to US data of COVID19 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 twoweek delay. Further, removing the controls before the pandemic ends leads to rebound of the infected classes. 

Fri., May 6 SE 215 ZOOM option 11:00 am 
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 (n1) x (n1) 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://fauedu.zoom.us/my/tbuscemi2020?pwd=cHJOZE9QTDZmcXFacTVoNGJGbVludz09 All are cordially invited. 

Fri., May 13 10:00 am ZOOM 
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 latticebased 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 HashandSign, FiatShamir(FS) transformation 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 ringSIS(Short Integer Solution) problem and now it has been adapted to ringLWE(Learning With Erros) which decreases the size of the signature and keys thereby improving the efficiency. I will explain FStransformation 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 nonlossy latticebased identification schemes has underlying signatures in Ducas et al. in [2]. The security of such schemes is nontight 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 latticebased 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 latticebased 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 nonexistence of a short vector in a random module lattice. I will explain nonexistence of prime condition improve the tight security in QROM, however with a less speed.
Join Zoom Meeting 

April, 2022 

April 7

Speaker: Thomas Benitez (in person) Title: A New ZeroKnowledge Protocol for the Syndrome Decoding Problem and CodeBased Signature Abstract: Zeroknowledge proofs are an important tool for many cryptographic protocols and applications. The threat of a coming quantum computer motivates the research for new zeroknowledge proof techniques for (or based on) postquantum cryptographic problems. One of the few directions is codebased cryptography for which the strongest problem is the syndrome decoding of random linear codes. In this presentation, we introduce a new zeroknowledge 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 zeroknowledge protocol which achieves arbitrary soundness through parallel repetitions and merged cutandchoose phase. While turning this protocol into a signature scheme, we achieve a signature size of 17 KB for a 128bit 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 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 pseudovaluation 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.


April 11
1:00 p.m. SE 271 
Master of Science Exam (Presentation) Speaker: Raya Shimshi (in person) Title: Super Convergence of Ergodic Averages for Quasiperiodic Orbits (Quantitative Quasiperiodicity) 

April 14 10:00 am SE 215 
Crypto Café Zoom: https://fauedu.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.


April 19
4:00 pm ZOOM 
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/1hb184hSqxRpsr2GmjoVrY11RNX0uQZ/view?usp=sharing Title: My journey as an Applied Mathematician Zoom: https://fauedu.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. 

Thurs., April, 21 Sandbox (Library) 36 pm 
DATA and AI RESEARCH EXHIBITIONS This event is presented by the FAU DataDriven Science and AI Conference which will be held in the Student Union on Saturday, May 21, 2022, 8:00 am5:00 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} DataDriven Science and AI Conference! There is also an opportunity to present your research in the poster session at the DataDriven 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 DataDriven 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: DataDriven Science and AI Conference See you all there on April 21^{st} at Sandbox! 

Thurs., April 21 ZOOM 6:30 p.m. 
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.
All are invited. We hope tp see you there! Zoom link: https://fauedu.zoom.us/j/84967758783?pwd=alhOOUg1dGtUcDVLUGNRYW43ODhPdz09 

Tues., April 26 
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 2dimensional rigidity, considering angle constraints in addition to length constraints for barandjoint 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 

Thurs, March 3
10 am SE 215 
The Crypto Café is back! Join us for the first talk of the 2022 edition of our biweekly 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 inperson or virtaully this Thursday, March the 3rd, 2022. Speaker : Edoardo Persichetti, Florida Atlantic University Title : Codebased Signatures: New Approaches and Research Directions Abstract : Codebased cryptography is one of the main areas of research within the context of quantumsecure communication. Yet, designing an efficient and secure codebased signature scheme has been a challenging problem for the last few decades. In this talk, I will summarize some of the long history of codebased 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://fauedu.zoom.us/j/88045709062?pwd=NjN2NGRnVDhkdExwcUxlOHBPUjErUT09 For future/past sessions, also see http://www.math.fau.edu/crypto_cafe.php 

Mon.Fri., Mar 711
8:00 am6:00 pm. 
53rd Southeastern International Conference on Combinatorics, Graph Theory and Computing, March 711, 2022


Thurs., Mar 17 10:00 am SE 215 
Crypto Café presents: Speaker : Abhraneel Dutta, Florida Atlantic University Title : Two Constant Time Polynomial Inversion Algorithms for PostQuantum Cryptosystems Abstract : A very common primitive in codebased 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: BernsteinYang's "SafeGCD" polynomial inversion, based on the Extended GCD algorithm and constant time ItohTsuji Inversion (ITI) derived from Fermat's Little Theorem. To join virtually on Zoom: Zoom: https://fauedu.zoom.us/j/88045709062?pwd=NjN2NGRnVDhkdExwcUxlOHBPUjErUT09 For future/past sessions (growing list), also see http://www.math.fau.edu/crypto_cafe.php 

Fri., March 18 2:00 p.m. SE 215 
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! 

Fri., Mar 25 1:00 pm SE 215 
PhD Dissertation Defense: Sean Perry (Doctoral candidate) Advisor: Dr. Erik Lundberg This Doctoral Defense is also being presented on ZOOM. 

Thurs., March 31 10:00 am SE 215 
Crypto Café 

February 2022 

Thurs., Feb 3 6 pm The Sandbox 

Mon, Feb 7 12:00 pm SE 271 
Cryptography Presentation 

Tues, Feb 8 
Cryptography Presentation 

Thurs, Feb 10 
Cryptography Presentation (virtual) Title: Some Problems in IsogenyBased Cryptography Join Zoom Meeting: https://fauedu.zoom.us/j/3373397013?pwd=dzhlc2RaS0FJdUl0VzB0M2g2ZzlHQT09 Meeting ID: 337 339 7013 

Fre, Feb 11 
The student chapter of SIAM presents: 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://fauedu.zoom.us/j/87951200366?pwd=alN6NXFZRXRUbm91b3AwSTRhaTJldz09 Meeting ID: 879 5120 0366 

Sat., Feb 19 8:00 am6:00 pm. 

Sat., Feb 19 
The FAU Student Chapter of the Association for Women in Mathematics (AWM) presents: 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. 

January 2022 

MonWed., Jan 35 85 pm 
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. 

Mon.Wed., Jan 1013
96:00 p.m. 
Logical Foundations of Computer Science (LFCS, 2022) Wyndham Deerfield Beach Resort. 

Sat., Jan. 22
92 pm 
AMC8 Middle School Math Day 2022 Register Here 

Fri., Jan 28 4:00 pm SE 215 
An Afternoon Tea Time


Sat., Jan 29

MuAlphaTheta Math Competition  An event with 13 contests for individuals, teams and school. Florida Atlantic University, Davie campus 

December 2021 

Fri. & Sat., Dec 1011 
Second International Workshop on PostQuantum Cryptography (IWPQC 2021) Keynote Speaker: Dr. Edoardo Persichetti Dr. Persichetti and longtimeime collaborator Paolo Santini we will talk about codebased cryptography. T Talks will be "tutorialstyle," 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 
Masters of Science in Teaching Mathematics Open House at FAU (Boca Raton campus) 

November 2021 

Wed., Nov. 10
1:00 pm 
AMC 10/12A Contest for 202122 School Year 

Tues., Nov. 16
10:00 am 
AMC 10/12B Contest for 202122 School Year


Tues., Nov. 16 4:00 pm SE 215 
MS Exam (Presentation): Amish Mishra Title: Computation of Persistent Homology Using the DelaunayRips 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 pointcloud data, which first requires one to construct a 1parameter 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 DelaunayRips 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 runtime 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://fauedu.zoom.us/j/87643081351?pwd=Rk8xcUVncDhwbHdZK2EwRFU0MVFMZz09 Meeting ID: 876 4308 1351 

Fri., Nov. 19 4:00 pm SE 215 
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. 

Mon., Nov. 22 11:00 am SE 215 
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. 

Mon., Nov. 22 12:30 pm SE 215 
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

FAU's Student Chapter of the American Mathematical Society (AMS) will meet today on Zoom. Meeting details: Meeting ID: 879 7272 7059 Passcode: e8dNJ8 

Fri., Oct. 8 4:30 pm 
PhD Dissertation Defense; Emmanuel Fleurantin Advisors: Dr. Jason MirelesJames 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: Passcode: 476860 Find your local number: https://fauedu.zoom.us/u/kdeUNfkkq All are cordially invited to attend. 

Mon., Oct. 11 5:00 pm 
Join FAU's student Chapter of SIAM at a free networking Q&A event with expert panelists aimed at Math students interested in industry 

Thurs., Oct. 21 11:00 am 
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://fauedu.zoom.us/j/7263276757?pwd=YnhwSXUwVXN2TFhrVXpTZDhuamczdz09 Meeting ID: 726 327 6757 Passcode: Fall2021 

Sat., Oct. 23
8:30 am  3pm 
FAU Math Day for High School 

Fri., Oct. 29 4:00 pm SE 215 
Join Us For : We Speak: Inspiring Women in Math Speaker Series


September 2021 

Fri., Sept. 17
4:00 pm 
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://fauedu.zoom.us/j/7263276757?pwd=YnhwSXUwVXN2TFhrVXpTZDhuamczdz09 Meeting ID: 726 327 6757 Passcode: Fall2021 

Fri., Sept. 24 3:00 pm SE 215 
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/tZcpdmupj4iH9Ahgvs3SZ0Du1fy8jjpThbr 

July 2021 

Fri., July 9

PhD Dissertation Defense: Maxime Murray Homoclinic Dynamics in a Spatial Restricted Four Body Problem Advisor: Dr. Jason MirelesJames Meeting ID: 893 8133 4435 Passcode: H4CJNt 

Thurs., July 15
11:00 a.m. 
FAU's student chapter of SIAM presents:
John Gemmer, Ph.D.,Wake Forest University 

June 2021 

Mon., June 7 
Micro Math Day 

Thurs., June 17
11:00 a.m. 
FAU's student chapter of SIAM presents: Mary Silber, Ph.D.,University of Chicago
Abtract
Aflyer for the event can be found here:
https://drive.google.com/file/ Zoom: JOIN MEETING
Meeting ID: 829 1824 9336


May 2021 

Thurs., May 6
11:00 a.m. 
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 2Sphere 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 2sphere. 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 

Fri., May 7 
FAU's Student Chapter of SIAM will host a movie screening event. In Silico : Director Noah Hutton embarks on a 10year project following a visionary neuroscientist’s quest to build a computer simulation of a brain. With unprecedented access to the inner workings of a multimilliondollar 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 

Thurs., April 1 9:00 a.m. 
MS Exam Presentation: Yan Zhang 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 multiasset market and derives a meanreverting portfolio by optimizing multiple meanreversion 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) 

Tues., April 6
5:00 p.m, 
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. 

Fri., April 9 4:00 p.m. 
FAU's Student Chapter of SIAM Colloquium Series presents:
Speaker: Dr. Sirani Perera, EmbryRiddle Aeronautical University
Meeting ID: 829 1824 9336
Visit and subscribe to our Youtube channel:
https://www.youtube.


Sat., April 10 
Florida GeoGebra Conference, 2021 (virtual conference) 

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) Meeting ID: 555 757 3207 All are cordially invited. 

March 2021 

Wed., March 3 
FAU's Student Chapter of SIAM Presents: Virtual Career Fair, 2021 

Mon.Fri., March 812 
52nd Southeastern International Conference on Combinatorics, Graph Theory and Computing


Thurs., March 18 11:00 a.m. 
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://fauedu.zoom.us/j/ Meeting ID: 829 1824 9336 Passcode: Spring2021 

Wed., March 24 11:00 a.m. 
PhD Dissertation Defense: Jessica Khera (Ph. D. candidate) 

February 2021 

Thurs., February 4  
Wed., February 10  
Thur., February 11 11:00 a.m. 
SIAM
student chapter colloquium presents: Title of Talk: Rate Induced Tipping and Climate ZOOM Information:
https://fauedu.zoom.us/j/8291 

FriSat., February 1213 


Fri., February 19 4:00 p.m. 
The FAUSIAM student chapter presents Dr. Yang Kuang, Ph.D. Professor of Mathematics, Arizona State University
Please find the Zoom link and passcode below: Meeting ID: 829 1824 9336
Passcode: Spring2021


January 2021 

Tues., January 26 
AWM Spring semester's Tuesday Tea 

December 2020 

Tues, December 1
11:00 a.m. 
Algebraic Coding and Cryptography on the East Coast Seminar Series 

Thurs., December 3 11:00 a.m. 
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://fauedu.zoom.us/j/ Passcode: Fall2020 

Fri., December 4 9:00 a.m. 
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 (14km2) 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 

Tues, December 15
11:00 a.m. 
Algebraic Coding and Cryptography on the East Coast Seminar Series 

Fri., December 18 7:00 p.m. 
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 .


November 2020 

Tues, November 3
11:00 a.m. 
Algebraic Coding and Cryptography on the East Coast Seminar Series 

Thurs., November 5 11:00 a.m. 
Analysis & Applications Seminar: Introduction to Loop Quantum Gravity


Fri., November 6 
Labeled Point Pattern Matching by Delaunay Triangulation and Maximal Cliques (by Hideo Ogawa)
Join Zoom Meeting: https://fauedu.zoom.us/j/81672738144?pwd=R1RqbkZBOVFVZ1V1TkdLaU5mbEF3dz09


Friday, November 6 2:00 p.m. 
Annihilators and A + B Rings 

Tues., November 10 4:30 p.m. 
Initialize a Research Project: Dr. Kalies, Dr. Lundberg, and Kenneth Dowling Join Zoom Meeting:
Meeting ID: 862 1384 5136 

Thurs., November 12 11:00 a.m. 
Dr. Muxin Han will give a second talk on Loop Quantum Gravity. Analysis & Applications Seminar Join Zoom Meeting 

Fri, November 13 9:00 a.m. 
AMC8/Middle School Math Day 

Fri., November 13 4:00 p.m. 
Talk with Emma Thomas and Andrew Tirado
Zoom meetings: https://fauedu.zoom.us/j/84496035157?pwd=VExvRWhmZUxwRjNoTHJ6QmlBMVZUUT09 

Tues, November 17
11:00 a.m. 
Algebraic Coding and Cryptography on the East Coast Seminar Series 

Fri., November 20 12:00 noon 
Speaker: Juan Miranda will present: Title: Some FixedPoint 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 wellknown results, as the completeness of the space C[a,b] under the dsup metric, which complemented with fixedpoint theorems leads to important conclusions. Then, we explore some fixedpoint 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 

Fri., November 20
1:00 p.m. 
Developing a Deep Learning Pipeline to Automatically Annotate Gold Particles in Immunogoldlabeled Electron Microscopy Images Join Zoom Meeting: https://mpfi.zoom.us/j/96032591758?pwd=L01uZTlJeGhuN0xiWEFPclJiSjV4dz09 Password: 415407 

Fri., November 20
3:00 p.m. 
Talk with Christian Sampson, Ph.D.
Zoom meetings:
https://fauedu.zoom.us/j/84496035157?pwd=VExvRWhmZUxwRjNoTHJ6QmlBMVZUUT09 

Fri., November 20
4:00 p.m. 
PSpaces and Their Properties
Join Zoom Meeting: https://fauedu.zoom.us/j/89344154215?pwd=bDE4b1FUR2RXbjB4THFPbDNPbkZKQT09 

October 2020 

Tues, October 6
11:00 a.m. 
Algebraic Coding and Cryptography on the East Coast Seminar Series


Tues, October 20 11:00 a.m. 
Algebraic Coding and Cryptography on the East Coast Seminar Series 

Fri, October 23 
A Talk With David Hartmann, CEO, Silver Logic


Sat., October 24 8:30 a.m. 
FAU Math Day for High School Students 

Tues, October 27

Tuesday Tea Time: Intellectual Property: Patents, Copywrites and Trademarks


Thurs., October 29
11:00 a.m. 
An international initiative of predicting the SARSCOV2 pandemic using ensemble data assimilation.
ZOOM: Meeting ID: 846 8652 5817; Passcode: Fall2020 

September 2020 

Thurs., September 24, 2020
4:007:00 p.m. 
GRADUATE COLLEGE
Hopin Virtual Event Platform



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:
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 
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 R_{0} is derived. Dynamical analysis reveals the forward bifurcation in the first model. That is when the threshold value R_{0} < 1, disease free equilibrium is stable both locally and globally implying disease dies out from the population. When R_{0} > 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 diseasefree equilibrium coexists with the endemic equilibrium when the reproduction number R_{02} 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 R_{02} = 1. Thus, the model has backward bifurcation and have two positive endemic equilibrium when R_{02} < 1 and unique positive endemic equilibrium whenever R_{02} > 1. Stability analysis shows that disease free equilibrium is locally asymptotically stable when R_{02} < 1 and unstable when R_{02} > 1. When R_{02} < 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.
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
Meeting information: Join Zoom Meeting https://us02web.zoom.us/j/84851896573 Meeting ID: 848 5189 6573 All are cordially invited. 

Wed., July 15, 2020

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 preassumptions to model treatment interaction at individual level, while nonlinear can inherently model these highlevel 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:
All are cordially invited. 

Wed., July 15, 2020 
PhD Dissertation Defense
Speaker: Shaun Miller CoAdvisors: 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 postquantum cryptography, some of the best cryptanalytic algorithms are still quantum. This thesis discusses the cryptanalysis of latticebased 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 floatingpoint operations including multiplication. In this thesis, I consider the resource requirements of a quantum circuit designed to simulate floatingpoint 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 Meeting number (access code): 120 790 1846Meeting password: BKZBlockSize Wednesday, July 15, 2020 1:00 pm  (UTC04:00) Eastern Time (US & Canada)  1 hr 30 mins
All are cordially invited. 


June 2020 

Tues., June 23, 2020 5:00 p.m. 
FAU's Student Chapter of the American Women IN Mathematics (AWM) presents: 'Going Virtual' Live Q & A Tea The FAU AWM Graduate Student Chapter has considered the drastic changes that COVID19 has had on the education as well as professional standards. The requirements to transit to an allvirtual learning environment can be inconvenient even for nonbeginners. 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. 


May 2020 

Wed., May 20, 2020 3:00 pm 
MS Presentation:
Title: DYNAMIC AND CONTROL OF AUTOIMMUNE DISORDER UNDER RADIATION WebEx information:
Meeting number (access code):472 769 468 All are cordially invited. 

Thurs., May 21, 2020 
FAU SIAM Student Chapter Presents
Speaker: Dr. Christopher Tralie, Ursinus College
WebEx meeting information: 


SPRING 2020 SEMESTER: January  May 2020 

January 24  25, 2020 
Friday, Jan 24  Pompano Beach High School Saturday, Jan 25  Florida Atlantic University 

Thurs, January 30, 2020 
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 
American Mathematics Competition 10/12A Annual AMC Contests for Middle and High School Students FAU Boca Raton Campus 

Wed, February 12, 2020 
Algebra Seminar: Dr. Warren McGovern: Possible Theorem About SemiClean Group Rings 

Thurs, February 13, 2020 
Dr. Jason MirelesJames, Florida Atlantic University
Title: Collision dynamics in some gravitational Nbody problems 

Mon, February 17, 2020 
Dr. Yan Zhang; Functional annotation of genomic elements using deep learning techniques 

Wed, February 19, 2020 
Algebra Seminar with Dr. Zvi Rose, Department of Mathematical Sciences, Florida Atlantic University
Title: Oriented Matroids and Combinatorial Neural Codes. 

Thurs, February 20, 2020 
Dr. Yang Li: Modeling Spatial and Spatiotemporal Process on the Sphere with Convolution 

Mon, February 24, 2020 
Crypto Café with Floyd Johnson, Florida Atlantic University
Title: An Introduction to Quantum Key Distribution 

Wed, February 26, 2020 
Algebra Seminar with Zvi Rose, Florida Atlantic University
Title: Oriented Matroids and Combinatorial Neural Codes 

Fri, February 28, 2020 
Title: Combinatorial Game Theory 

Wed, March 4, 2020 
Algebra Seminar with Robert Raphael, Department of Mathematics and Statistics at the University of Concordia
Title: The countable lifting problem and the reducedring partial order. 

March 9  13, 2020 
Southeastern International Conference on Combinatorics, Computing, and Graph Theory Student Hospitality Center 

Sat, March 14, 2020 
16th Annual FAU Math Day  RESCHEDULED FAU Boca Campus 

Wed., April 15, 2020 
Master's Presentation with Melissa De Jesus
Title: Stability Analysis of the SIR model 

Fri., April 17, 2020 
Virtual Student Presentation with Noah Corbett
Title: The Stable Manifold Theorem
WebEx information: All are cordially invited. 

Fri., April 17, 2020 
Ph.D. Dissertation Defense with Jorge Gonzalez
https://fau.webex.com/fau/j.php?MTID=m187e82a5cb0e7be96ef8409fd72a0ab0


Tue., May 5, 2020 
FAU's Student Chapter of the AWM Care To BEE Event Dr. Nina Fefferman will be joining us live on Webex for a problemsolving session based on topics from a prerecorded webinar from NIMBioS, "The Role of Applied Math in Realtime 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 COVID19. 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 middleschool math to help try to save the world. Right now, things are not normal. Join us for "The role of applied math in realtime pandemic response: How basic disease models work" for a presentation about how very simple, middleschool math (and much fancier versions of the same thing) can help us fight COVID19. 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 
Order in Algebra and Logic Conference 2020 CANCELED 