Also take a look at our interactive calendar:
Events of week
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Special Event October 3-5
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American Mathematical Society
The 2025 Fall Southeastern Sectional Meeting
Host: Victory Moll
I hope you can participate.
Here is the link
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Week of Month - Month
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September 25,
Colloquium
Topic: TBA
Bard Ermentrout - University of Pittsburgh Host: (Lisa Fauci)
Abstract: TBA
Location: Gibson Hall 126-A
Time: 3:30 pm
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Week of September 12-8
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September 9,
Graduate Student Colloquium
Topic: Tevelev Degrees for genus-zero curves in blowup of P^3 at a point.
Speaker: Naufil Sakran - Tulane University
Abstract: In this talk, I would like to answer the following question:
Let $X$ denote the space of blow-up of $\mathbb{P}^3$ at a point. If we fix $n$-points, then how many genus 0 curves can be drawn on $X$ passing through the $n$-points?
The study of such questions lies in the field of enumerative geometry, and I would like to give a glimpse of this subject by answering the above question completely.
Location: Richardson Building, 102
Time: 3:30
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September 9
Algebra and Combinatorics
Topic: Oriented matroids from non-polyhedral cones
Speaker: Catherine Babecki - California Institute of Technology Host: (Dan Bernstein)
Abstract: Existing generalizations of matroids to infinite settings are combinatorial in nature-- we propose a geometric alternative. One perspective on realizable oriented matroids comes from vector configurations and linear dependences among them. Pulling this back a step, the circuits (minimal dependences) are exactly the support-minimal vectors which lie in the null space of a linear map. We define conic matroids in a way that mimics this, and in particular, the "face-minimal" vectors in a subspace form a conic matroid analogously to standard realizable matroids. If the cone is the nonnegative orthant, we recover standard realizable oriented matroids. We will discuss our precise definitions, show how this structure captures features of Gale duality and conic programming, and share some of the directions we have yet to make headway in. Joint work with Isabelle Shankar and Amy Wiebe.
Location: Richardson Building 108
Time: 3:00
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September 8
Integrability and Beyond
Topic: Power Spectrum Analysis for the Circular Unitary Ensemble
Speaker: Roman Riser - Tulane University
Abstract: The power spectrum has emerged as an effective tool for studying both system-specific and universal properties of quantum systems. In these 3 lectures we will study the power spectrum for the circular unitary ensemble (CUE). In the introduction, I will give an overview of results for the power spectrum. This will include a plot of the asymptotic limit for the CUE. We will compare it with numerical results for the zeros of the Riemann zeta function.
In the first lecture, I will derive a general representation for the power spectrum. Then we will review the definition and basic properties of the CUE and its joint probability distribution function of the eigenvalues. Next we deduce an exact representation of the power spectrum for the CUE with $N$ eigenvalues. In the second lecture, we will discuss the limit $N\rightarrow\infty$ and find a parameter free representation given in terms of the Painlev\'e V transcendent. In the last lecture, we will analyze the asymptotic formula and discuss its numerical evaluation.
Location: TBA
Time: 3:00
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Week of September 5 - 1
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September 3
Algebra and Combinatorics
Topic: A summation formula for mock modular forms
Speaker: Kalani Thalagoda - Tulane University
Abstract: Analytic number theorists frequently use summation formulas to study the asymptotic and statistical behavior of interesting (and sometimes erratic) arithmetic functions. For Dirichlet series satisfying a certain functional equation, Chandrasekharan and Narasimhan proved a formula for a weighted sum of the first n coefficients. In this talk, I will discuss a summation formula for mock modular forms of moderate growth and an application of it to Hurwitz class numbers. This is joint work with Olivia Beckwith, Nicholas Diamantis, Rajat Gupta, and Larry Rolen.
Location: Richardson Building 108
Time: 3:00
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September 3,
Graduate Student Colloquium
Topic: A summation formula for mock modular forms
Speaker: Kalani Thalagoda - Tulane University
Abstract: Analytic number theorists frequently use summation formulas to study the asymptotic and statistical behavior of interesting (and sometimes erratic) arithmetic functions. For Dirichlet series satisfying a certain functional equation, Chandrasekharan and Narasimhan proved a formula for a weighted sum of the first n coefficients. In this talk, I will discuss a summation formula for mock modular forms of moderate growth and an application of it to Hurwitz class numbers. This is joint work with Olivia Beckwith, Nicholas Diamantis, Rajat Gupta, and Larry Rolen.
Location: Richardson Building, 108
Time: 3:00
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02, September
Graduate Student Colloquium
Topic: Rosenbrock Time Integration for Proper Orthogonal Decomposition(POD) based Reduced-Order Modeling (POD-ROM) of Dynamical System
Speaker: Moslem Uddin - Tulane University
Abstract: Proper Orthogonal Decomposition (POD) provides an efficient method for obtaining low-dimensional, physically meaningful models from high-dimensional dynamical systems. In this talk, we use the Brusselator reaction-diffusion system as a guide to demonstrate the mathematics behind and application of POD-based reduced-order modeling (POD-ROM). We discuss how to construct the POD basis from simulation data, highlight its optimality and interpretability, and show how it enables significant dimensionality reduction without sacrificing essential dynamics. Stable simulation of reduced-order systems is ensured by the incorporation of Rosenbrock-Wanner (ROW) time-stepping techniques. We discuss computational complexity, elucidating the distinction between offline (basis construction) and online (ROM evolution) costs, and show how mode selection affects physical fidelity, speed, and accuracy. The talk concludes with views on current directions, potential difficulties, and best practices in data-driven model reduction for complex systems.
Location: Dinwiddie Hall DW-102
Time: 3:30
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