202324 Department of Mathematics and Statistics Events 

April, 2024 
Monday 
Join the faculty and students of Cryptography for a biweekly reading seminar on multiparty computations. 
Wednesday 
Join your friends and other math enthusiasts at FAU's Math Club events! The purpose of our Club is to improve academic ability, spread awareness of mathematics’ importance, and share a passion for all fields of mathematics! The club is open to all majors and all math backgrounds. Activities at the club will include:
Snacks are always available! See you there! 
Thursday 
Analysis and Applications Seminar Speaker : J.P. Lessard, McGill University Title : Computerassisted proofs for differential equations with nonpolynomial nonlinearities via the FFT. Abstract : This presentation introduces a methodology for generating computerassisted proofs (CAPs) establishing the existence of solutions for nonlinear differential equations with nonpolynomial analytic nonlinearities. Our approach integrates the Fast Fourier Transform (FFT) algorithm with interval arithmetic and a NewtonKantorovich argument to construct CAPs effectively. Notably, to rigorously manage the Fourier coefficients of the nonlinear term Fourier series, we leverage insights from complex analysis and the Discrete Poisson Summation Formula. We showcase the applicability of our method through two examples: firstly, verifying the existence of periodic orbits in the MackeyGlass (delay) equation, and secondly, proving the existence of periodic localized traveling waves in the twodimensional suspension bridge equation. 
Saturday 
Welcome to Math Circle! The main purpose of the circle is to have fun with mathematics while learning something in the process. We will be discussing and solving problems, having friendly competitions, playing mathematical games. The purpose of this circle is to amplify the mathematical knowledge of students who like math, and do it in a fun way, we will also look at some AMC problems, and see how what was seen in the circle applies. We will be meeting every other Saturday, beginning Saturday, September 23, 2023. It is important to emphasize what these circle meetings are NOT. They are not classes or lectures. Students are free to walk about and talk. Source of the Problems: The majority of problems will come from very diverse sources, old AMC competitions, the Moscow Math Circle Problem book, historical sources (for example Fibonacci's Liber Abaci), etc. A few will be made up by us. Sources will not usually be credited but credits will be revealed upon request, if we know the source. Registration is FREE! Register Here for Fall, 2024 Math Circles 
Monday 
Speaker : Dr. Francesco Sica, Assistant Professor, Florida Atlantic University +Zoom (click here) Title : Acceleration of multiscalar multiplication for zkSNARKs FLYER Abstract : The main computational bottleneck in the implementation of zeroknowledge succinct arguments of knowledge (zkSNARKs) based on elliptic curves, such as Pinocchio, is the evaluation (called multiscalar multiplication) $∑_{i=}$ 
Monday 
MS Presentation Speaker: Francis Boateng, MS Candidate Title: Influencing UnderFive Mortality in RuralUrban Ghana: An Applied Survival Analysis Abstract: In this presentation, we explore the application of the Breslow Method for Ties in analyzing survival probability, utilizing data from the 2014 Ghana Demographic and Health Survey (GDHS). Focusing on Ghana's rural and urban contexts, we investigate the socioeconomic and demographic factors influencing underfive mortality. This approach assumes a constant hazard function within each interval between event times. Our findings highlight maternal age, mother's education, household wealth index quintile, place of delivery, and birth order as significant determinants of child survival in Ghana. Moreover, the influence of these determinants varies between urban and rural settings. The study sheds light on the nuanced dynamics shaping child survival outcomes, contributing to understanding health disparities across different socioeconomic contexts. All are cordially invited. 
Monday 
SIAM Meeting (FAU Student Chapter) SIAM (Society for Industrial and Applied Mathematics) fosters the development of applied mathematical and computational methodologies needed in various application areas. Applied mathematics, in partnership with computational science, is essential in solving many realworld problems. Through publications, research, and community, the mission of SIAM is to build cooperation between mathematics and the worlds of science and technology. We hope to see you there! 
Thursday 
Analysis and Applications Seminar Speaker: Joan Gimeno, Universitat de Barcelona Title: New Solutions from Functional Perturbed Uniformly Hyperbolic Trajectories
Abstract: We develop a method to construct solutions of some (retarded or advanced) equations. We assume that the equations considered are formally close to an ODE and that the ODE admits hyperbolic solutions (that is, perturbations This is a joint work with R. de la Llave and J. Yang. 
Thursday 
Join your friends and other math enthusiasts at FAU's Math Club events! The purpose of our Club is to improve academic ability, spread awareness of mathematics’ importance, and share a passion for all fields of mathematics! The club is open to all majors and all math backgrounds. Activities at the club will include:
Snacks are always available! See you there! 
Friday 
Complex Analysis and Nonlinear Dynamic colloquium Speaker: Alex Stokolos, Georgia Southern University Title: Geometric complex analysis and cycles detection in nonlinear dynamics Abstract: In the talk, I will discuss a remarkable connection between the problem of long cycles detection in nonlinear autonomous dynamical systems and geometric complex analysis. The presentation will be accessible to everyone who took a standard Complex Analysis course. 
Saturday 
Welcome to Math Circle! The main purpose of the circle is to have fun with mathematics while learning something in the process. We will be discussing and solving problems, having friendly competitions, playing mathematical games. The purpose of this circle is to amplify the mathematical knowledge of students who like math, and do it in a fun way, we will also look at some AMC problems, and see how what was seen in the circle applies. We will be meeting every other Saturday, beginning Saturday, September 23, 2023. It is important to emphasize what these circle meetings are NOT. They are not classes or lectures. Students are free to walk about and talk. Source of the Problems: The majority of problems will come from very diverse sources, old AMC competitions, the Moscow Math Circle Problem book, historical sources (for example Fibonacci's Liber Abaci), etc. A few will be made up by us. Sources will not usually be credited but credits will be revealed upon request, if we know the source. Registration is FREE! Register Here for Fall, 2024 Math Circles 
Monday 
Join the faculty and students of Cryptography for a biweekly reading seminar on multiparty computations. 
Wednesday 
Join your friends and other math enthusiasts at FAU's Math Club events! The purpose of our Club is to improve academic ability, spread awareness of mathematics’ importance, and share a passion for all fields of mathematics! The club is open to all majors and all math backgrounds. Activities at the club will include:
Snacks are always available! See you there! 
Thursday 
MS Presentation MS Candidate: Fatemeh Fogh Title: Parametrization Method for Stable and Unstable Manifolds for Studying Fixed Points Abstract: Utilizing a parametric representation of the stable and unstable manifolds, we demonstrate that for certain parameter values (specifically in the scenario initially explored by Hénon), the Hénon mapping exhibits a transversal homoclinic orbit. All are cordially invited. 
Sunday 
Assocation for Women in Mathematics (FAU Student Chapter) presents Florida Women in Math Day 2024 All genders, backgrounds and ages are welcome to attend and present at Floida Women in Math Day! Come and enjoy a career panel student posters a scavenger hunt and FREE Breakfast, lunch and refreshments! FLYER for more information 
Tuesday 
Ph.D. Dissertation Defense Speaker: Dominic Gold, Ph.D. candidate Advisor: Dr. Francis Motta Title: PrivacyPreserving Topological Data Analysis Using Homomorphic Encryption Abstract: Computational tools grounded in algebraic topology, known collectively as topological data analysis (TDA), have been used for dimensionalityreduction to preserve salient and discriminating features in data. This faithful but compressed representation of data through TDA's flagship method, persistent homology (PH), motivates its use to address the complexity, depth, and inefficiency issues present in privacypreserving, homomorphic encryption (HE)based machine learning (ML) models, which permit a data provider (often referred to as the Client) to outsource computational tasks on their encrypted data to a computationallysuperior but semihonest party (the Server). This work introduces efforts to adapt the wellestablished TDAML pipeline on encrypted data to realize the benefits TDA can provide to HE's computational limitations as well as provide HE's provable security on the sensitive data domains in which TDA has found success in (e.g., sequence, gene expression, imaging). The privacyprotecting technologies which could emerge from this foundational work will lead to direct improvements to the accessibility and equitability of health care systems. ML promises to reduce biases and improve accuracies of diagnoses, and enabling such models to act on sensitive biomedical data without exposing it will improve trustworthiness of these systems. To adapt the beginning steps of the TDAML pipeline, we create an HEcompatible arithmetic circuit of the fundamental map to compute PH on an encrypted boundary matrix for further use in downstream model development (with a complete construction, parameter selection guarantees, and error analysis). We achieve this by modifying the logical structure of the map and by developing new arithmetic circuits to replace its computational and conditional statements. We also show work in adapting the terminal steps of the TDAML pipeline to realize the boons TDA affords HEML models on the MNIST digits dataset using a logistic regression (LR) classifier. We demonstrated that the TDA methods chosen improve encrypted model inference with a 1025 fold reduction in amortized time while improving model accuracy up to 1.4% compared to naive reductions that used downscaling/resizing, and we show the first steps in realizing these same improvements on encrypted model training. Please contact Dr. Hongwei Long for an electronic copy of the dissertation. Zoom Meeting link: https://fauedu.zoom.us/my/dgold2012?omn=81121210837 All are cordially invited. 
Wednesday 
Join your friends and other math enthusiasts at FAU's Math Club events! The purpose of our Club is to improve academic ability, spread awareness of mathematics’ importance, and share a passion for all fields of mathematics! The club is open to all majors and all math backgrounds. Activities at the club will include:
Snacks are always available! See you there! 
Saturday 
Welcome to Math Circle! The main purpose of the circle is to have fun with mathematics while learning something in the process. We will be discussing and solving problems, having friendly competitions, playing mathematical games. The purpose of this circle is to amplify the mathematical knowledge of students who like math, and do it in a fun way, we will also look at some AMC problems, and see how what was seen in the circle applies. We will be meeting every other Saturday, beginning Saturday, September 23, 2023. It is important to emphasize what these circle meetings are NOT. They are not classes or lectures. Students are free to walk about and talk. Source of the Problems: The majority of problems will come from very diverse sources, old AMC competitions, the Moscow Math Circle Problem book, historical sources (for example Fibonacci's Liber Abaci), etc. A few will be made up by us. Sources will not usually be credited but credits will be revealed upon request, if we know the source. Registration is FREE! Register Here for Fall, 2024 Math Circles 
Monday 
Join the faculty and students of Cryptography for a biweekly reading seminar on multiparty computations. 

May, 2024 
Saturday May, 11 
Welcome to Math Circle! The main purpose of the circle is to have fun with mathematics while learning something in the process. We will be discussing and solving problems, having friendly competitions, playing mathematical games. The purpose of this circle is to amplify the mathematical knowledge of students who like math, and do it in a fun way, we will also look at some AMC problems, and see how what was seen in the circle applies. We will be meeting every other Saturday, beginning Saturday, September 23, 2023. It is important to emphasize what these circle meetings are NOT. They are not classes or lectures. Students are free to walk about and talk. Source of the Problems: The majority of problems will come from very diverse sources, old AMC competitions, the Moscow Math Circle Problem book, historical sources (for example Fibonacci's Liber Abaci), etc. A few will be made up by us. Sources will not usually be credited but credits will be revealed upon request, if we know the source. Registration is FREE! Register Here for Fall, 2024 Math Circles 