2026-27 Department of Mathematics and Statistics Events |
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October 2026 |
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Thurs. |
Analysis & Applications Seminar Speaker: Erik Lundberg, Professor, Department of Mathematics & Statistics, Florida Atlantic University Title: Erdős Problem #1039 on the inradius of polynomial lemniscates (Part II) Abstract: This talk will take a look at Erdos Problem labeled #1039 on the Erdos Problems Forum https://www.erdosproblems.com/1039 Erdős, Herzog, and Piranian asked in 1958 whether every monic polynomial p of degree n with all zeros in the unit disk has a disk of radius at least c/n on which its modulus is everywhere less than 1, where c > 0 is an absolute constant. In other words, the problem concerns the inradius (radius of the largest inscribed disk) of the polynomial lemniscate {z: |p(z)| \leq 1} and whether it admits a lower bound of order 1/n. This problem was recently resolved using AI. I’ll discuss the problem, previous progress, and my impression of the AI solution (and how it compares to other AI assisted preprints that have crossed my path). |
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Friday |
Association of Women in Mathematics (AWM, FAU Chapter) Tea Time FLYER Join the women and friends of the FAU Chapter of the AWM for Fall 2026 Tea-Time! Its BYOM, so Bring Your Own Mug! Come, sip some tea, enjoy some great conversations, and see what the AWM and The Department of Mathematics and Statistics has to offer you! We look forward to seeing you there! |
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Tues. |
Speaker: Yuhao Liu, Department of Mathematics & Statistics, Florida Atlantic University Title: Gröbner Basis and Relinearization Algorithm for Ring-LWE +Zoom (click here) Abstract: \textbf{Abstract.} We analyze the Gr\"obner basis attack on the Arora--Ge system \cite{AroraG11} arising from Ring-LWE samples over \[ \mathcal{R}_q = \mathbb{F}_q[X]/(X^n+1), \] with $n$ a power of two and errors bounded by $b$. We show that, with high probability over the sampled public polynomials, the highest-degree components of the resulting polynomial system span the full space of forms of degree $k$ (where $k = 2b + 1$), so that the system is semi-regular with degree of regularity $k$. Furthermore, we quantify the failure probability through a factorization of the degree-$k$ Macaulay determinant into $n$ blocks indexed by the frequencies of a negacyclic Fourier transform and permuted by Frobenius. We further show that this structure block-diagonalizes the dominant part of the linearized system and reduces the cost of the attack from \[ \Theta\!\left(n^{k\omega}\right) \] to \[ \Theta\!\left(n^{(k-1)\omega+1}\right) \] arithmetic operations in the splitting field of $X^n+1$, a saving of a factor $n^{\omega-1}$ over the corresponding unstructured computation. For ternary errors, this yields the complexity reduction \[ \Theta(n^{9}) \rightarrow \Theta(n^{7}) \] for $\omega = 3$. Bio: Yuhao Liu is a PhD student in the department of Mathematics and Statistics |
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Thurs. |
Analysis and Applications Speaker: Maxime Murry, Ph.D., Florida Atlantic University Title: Stability analysis of periodic orbits using Chebyshev polynomial interpolation Abstract: In this talk, I will discuss Chebyshev polynomials and their use to interpolate periodic solutions of nonlinear ordinary differential equations. The approach can be applied to periodic solutions with large periods, and this will be illustrated using periodic solutions in the Lorenz system, the circular restricted four body problem, and a 3D predator-prey model from Hastings. Solutions are obtained by solving a zero-finding problem and using Newton's method. We observe that the derivative computed at each step of Newton's method can be leveraged to obtain the Floquet multipliers of the solution. The multipliers are computed through an eigenvalue problem. The talk aims to be self-contained, and several recalls of Chebyshev polynomials will also be presented. |
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NOVEMBER 2026 |
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Thurs. |
AMC 10/12A
Time: 11:30 am-2:00 pm |
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Friday |
Dissertation Defense Speaker: Leila Mirsaleh Kohan, Ph.D. Candidate, Department of Mathematics and Statistics, Florida Atlantic University Title: Identifiability in Mathematical Models of Infectious Disease Dynamics ABSTRACT Abstract: Parameter estimation connects mathematical models of infectious diseases with observed data, but agreement between model output and data does not necessarily imply that the underlying parameters can be determined reliably. This dissertation examines structural and practical identifiability in three infectious disease models that differ in biological scale, mathematical structure, and the observations available for parameter estimation. The first study investigates a within-host HIV model that includes immune response dynamics. The equilibria and stability properties of the model are analyzed, followed by structural and practical identifiability analyses under different observation schemes. The model is structurally identifiable under the assumed observations, while practical identifiability is affected by measurement noise and the frequency of data collection. The second study develops a multiscale HIV model that couples within-host viral dynamics with treatment-age-structured population dynamics, allowing viral load to influence infectiousness and progression to AIDS. Within-host parameters are estimated using viral-load and target cell data from treated individuals, while population-level parameters are estimated using U.S. surveillance data on HIV incidence, diagnoses, and AIDS classifications. Structural and practical identifiability analyses are used to determine which parameters can be identified and reliably estimated from the available observations. The fitted model is then used to study HIV epidemic dynamics in the United States and progress toward the Ending the HIV Epidemic incidence targets. The third study develops an epidemiological–evolutionary model of tuberculosis that couples disease transmission and treatment with pathogen genetic adaptation. The model is fitted to U.S. TB incidence and mortality data together with SNP-based genetic divergence data. Structural and practical identifiability analyses are used to determine which parameters can be identified and reliably estimated from the epidemiological and genetic observations. Sensitivity and elasticity analyses are then used to examine the influence of evolutionary parameters on projected TB incidence. Across the three studies, parameter identifiability depends on model structure, the quantities observed, and the amount and quality of the available data. The within-host HIV study shows how measurement noise and sampling frequency affect parameter recovery, while the multiscale HIV and epidemiological–evolutionary TB studies extend the identifiability problem to models that combine different biological processes and data sources. Together, these studies demonstrate how identifiability analysis can be used to determine which parameter-based conclusions are supported by the available data across within-host, multiscale, and epidemiological–evolutionary infectious disease models. |
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Friday |
AMC 10/12B The Mathematical Association of America hosts the annual AMC contests for middle and high school students. We began the AMC10-12 Contests since 2007. Its purpose is to spur interest in mathematics and develop talent through the excitement of friendly competition at problem-solving in a timed format. The AMC 10/12 Contests are geared for high school students, as well as advanced middle school students. Registration opening soon!
Time: 3:00 pm-5:30 pm |
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Thurs. |
Analysis and Applications Speaker: Robert Lubarsky, Ph.D., Florida Atlantic University Title: An Introduction to Large Cardinals, Part I: Inaccessibles Abstract: Large cardinals are numbers that are so big that you can't even prove that they exist. What are some examples, and why should we care? |
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January 2027 |
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Saturday |
AMC 8 / Middle School Math Day The Mathematical Association of America hosts this annual AMC8 contest for middle school students, to help prepare for high school level math competitions. In addition, we incorporate a shorter version of our annual High School Math Day for a full day of Math Fun! Registration opening soon! |
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February 2027 |
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Saturday |
High School Math Day Beginning in 2005, this annual event provides a day of competitions and seminars designed to provide high school students and their teachers with an opportunity to share an appreciation of mathematics, to exchange ideas, and to interact with FAU Mathematics faculty. Registration will be available soon! |
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Saturday |
Florida GeoGebra Workshop New this year! Attend the Florida GeoGebra Workshop and bring a team to our High School Math Day! More info will be posted soon! Stay tuned! |
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March 2027 |
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Mar. |
58th Southeastern International Conference on Combinatorics, Graph Theory and Comptuing The Fifty-eighth Southeastern International Conference on Combinatorics, Graph Theory, and Computing (SEICCGTC) will be held March 8-12, 2027 in the Student Union at Florida Atlantic University in Boca Raton, FL. Invited Speakers for the SEICCGTC 58: Ricardo Gomez, Universidad Nacional Autónoma de México Special Sessions: Topic: Graph Polynomials and Invariants; Organizers:; Aihua Li (Montclair State University, New Jersey), Sarita Nemani (Georgian Court University, New Jersey) Topic: Graphs and Matrices Organizer: Mark Hunnell (Winston Salem State University); hunnellm@wssu.edu ; Topic: Algorithmic Graph Theory: Structured Families and Applications OrganizerMartin Golumbic, University of Haifa
FOR STUDENTS: Fireside Chats (anyone can join!)
Date: Monday, March 8, 2027 Time: 12:00 pm- 1:50 pm (Lunch will be served!) |
