2025-26 Department of Mathematics and Statistics Events |
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December, 2025 |
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Thursday |
MS Exam Presentation Speaker: Addisyn Randolph, MS Candidate, Florida Atlantic University Title: Weighted Birkhoff Averages and Invariant Circles of the Standard Map Abstract: This talk explains the methods developed in the paper Weighted Birkhoff Averages and the Parameterization Method by David Blessing and J.D. Mireles James. We will compute parameterizations of some quasiperiodic circles using a Newton iteration scheme to solve a conjugacy equation describing the invariant circle. A key difficulty is obtaining an initial approximation of the parameterization, as well as computing the rotation number of the quasiperiodic system. Given nothing but a finite data set sampled from the quasiperiodic circle, we exploit the weighted Birkhoff Averaging method presented by Das, Saiki, Sander, and Yorke to compute an accurate rotation number. By the Birkhoff Ergodic Theorem the same averaging procedure also approximates integrals such as the Fourier coefficients of the parameterization of the invariant circle. This gives us the initial approximation for the Newton scheme. I will present the implementation of this scheme and the numerical results applied to the standard map. |
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Friday |
Master's Degree Exam Speaker: Brandon Smith, Master's Degree candidate, Florida Atlantic University Title: The Malkus-Lorenz Water Wheel Revisited Abstract: In this talk, I will cover a paper on the Malkus-Lorenz Water Wheel written by Leslie E. Matson, where we first derive the governing system of differential equations for the waterwheel starting from first principles, incorporating torque balance, inflow dynamics, and viscous damping. We then introduce a systematic nondimensionalization and change of variables that reduce the model from a four-parameter system to a two-parameter dimensionless form, revealing the essential structure that drives the dynamics. This rescaled system is shown to be mathematically equivalent—under an appropriate parameter correspondence—to the classical Lorenz system. By tracing the steps from physical mechanism to canonical chaotic equations, the presentation highlights how chaotic behavior emerges naturally from simple physical assumptions and clarifies the deep connection between the waterwheel experiment and one of the most iconic models in dynamical systems theory. |
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Friday |
Colloquium Presentation Speaker: Dr. Mustafa, Nazarbayev University in Kazakhstan Title: Computable Numberings and Rogers Semilattices. Abstract. Computability theory and recursive mathematics often require the analysis of constructive objects, for which the framework of computable numberings provides a powerful methodological foundation. A numbering assigns natural indices to elements of a countable class, and becomes computable when these indices can be effectively translated into Gödel codes of their constructive descriptions. Reducibility between numberings gives rise to an equivalence relation, and the resulting quotient structure—the Rogers semilattice—captures the overall algorithmic complexity of computing a family of sets. In this talk, I will present recent developments on computable numberings across various hierarchies and examine the algebraic and elementary properties of their associated Rogers semilattices. |
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January, 2026 |
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Wed-Fri |
International Symposium on Artificial Intelligence and Mathematics (ISAIM, 2026) The International Symposium on Artificial Intelligence and Mathematics is a biennial meeting that fosters interactions between mathematics, theoretical computer science, and artificial intelligence. The series was started by Martin Golumbic, Peter L. Hammer, and Frederick Hoffman in 1990, and the editorial board of the Annals of Mathematics and Artificial Intelligence serves as the permanent Advisory Committee. Traditionally, the Symposium attracts participants from a variety of disciplines, thereby providing a unique forum for scientific exchange. The three-day symposium features invited speakers, technical paper presentations, and special topic sessions. If you have a question about ISAIM 2026, please email isaim-l@lists.ou.edu. Join the Google group of ISAIM to receive major announcements from the organizers of the symposium. |
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Saturday |
Middle School Math Day Competition (AMC 8) The Department of Mathematics and Statistics hosts several middle schools in a combination of the American Mathematics Competition (AMC-8) and our traditional Math Day events. Beginning in 2010, this event combines a national competition, mathematical talks, and a team game. Students have a chance to interact with FAU Mathematics faculty while engaging in both national and local competitions. |
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February, 2026 |
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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. More Information about this event coming soon! |
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Saturday |
Florida GeoGebra Florida GeoGebra Conference 2026, Integrating free mathematical software GeoGebra into STEM Education: A Mathematics Perspective Registration is Open! Click the Link now to register: https://fau.az1.qualtrics.com/jfe/form/SV_5bXnk1TOmDgsfD8 |
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March, 2026 |
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March
Grand |
57th Southeastern International Conference on Combinatorics, Graph Theory, and Computing Celebrating its 57th year, the Conference brings together mathematicians and others interested in combinatorics, graph theory, and computing, and their interactions. The Conference lectures and contributed papers, as well as the opportunities for informal conversations, have proven to be of great interest to other scientists and analysts employing these mathematical sciences in their professional work in business, industry, and government. The Conference continues to promote a better understanding of the roles of modern applied mathematics, combinatorics, and computer science, acquainting investigators in each of these areas with the various techniques and algorithms available to assist in their research. Each discipline has contributed significantly to the others, and the purpose of the Conference is to narrow the gaps between the fields even further. Regsiter Here! |
