2021-22 Department of Mathematics Events

MARCH 2022

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

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.  

DECEMBER 2021

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