Calendar

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Today, Tuesday, September 16, 2025

Posted August 2, 2025
Last modified September 10, 2025

Algebra and Number Theory Seminar Questions or comments?

2:00 pm – 3:00 pm Lockett 233 or click here to attend on Zoom

Hang Xue, The University of Arizona
Fourier–Jacobi periods on unitary groups

We explain what Fourier–Jacobi periods on unitary groups are and prove the global Gan–Gross–Prasad conjecture about them. We also give an application to the Tate conjecture of product of unitary Shimura varieties.

Posted September 10, 2025

Informal Analysis Seminar Questions or comments?

3:30 pm – 4:30 pm Lockett 136

Shalini Shalini, LSU
Gowri Priya Sunkara, LSU
The Elvis Problem with Convex Bifunctions/The Minimal Time Function Under More General Assumptions

The Elvis problem models a time optimal control problem across two regions having a common interface Sigma, each with a constant convex velocity set. We generalized this framework by introducing convex bifunctions of the form F_i(r, v) which are convex, lower semicontinuous, and proper. The minimization problem is min [ F_0(r_0, y - x_0) + F_1(r_1, x_1 - y) ], over r_0 > 0, r_1 > 0 and y in Sigma. The bifunctions F_i are jointly convex in (r, v) and convex analysis is used to derive optimality conditions. Under general assumptions on the target set S and the system dynamics, we show that the minimal time function is a proximal solution to a pair of Hamilton–Jacobi inequalities. Uniqueness is established via two distinct types of boundary conditions. We also introduce a new propagation result, which characterizes proximal sub gradients of the minimal time function in terms of normal cones and a boundary inequality condition. Furthermore, we provide necessary and sufficient conditions for the Lipschitz continuity of the minimal time function near S. In particular, a Petrov-type modulus condition is shown to guarantee such continuity. Our results extend earlier results to a broader class of time dynamics, even within non-Euclidean settings.

Posted September 15, 2025

Actuarial Student Association

5:30 pm Kessler Lounge (3rd Floord Lockett Hall)

ASA Meeting

Brief Presentation about the basics of becoming a credentialed actuary. Additional Tips about studying for exams/resumes Pizza will be served!

Tomorrow, Wednesday, September 17, 2025

Posted September 1, 2025
Last modified September 15, 2025

Geometry and Topology Seminar Seminar website

3:30 am Lockett 233

Kevin Schreve, Louisiana State University
L^2-homology of right-angled Coxeter groups

A flag triangulation of an (n-1)-dimensional sphere determines a right-angled Coxeter group and a closed n-manifold which is a K(G,1) for the commutator subgroup. The Singer Conjecture predicts that the L^2-homology of the universal cover is only nonzero in dimension n/2. We will show the Singer conjecture holds if 1) L is the barycentric subdivision of the boundary of a simplex, 2) L is the barycentric subdivision of a triangulation of an odd-dimensional sphere Based on joint work with Grigori Avramidi and Boris Okun.

Posted August 27, 2025
Last modified September 14, 2025

Informal Geometry and Topology Seminar Questions or comments?

1:30 pm Lockett Hall 233

Anurakti Gupta, Louisiana State University
Continuing our Discussion of Khovanov Homology

We are continuing our discussion of Khovanov Homology following Melissa Zhang's notes. (https://arxiv.org/abs/2501.03115)

Friday, September 19, 2025

Posted September 15, 2025

Combinatorics Seminar Questions or comments?

2:30 pm – 3:30 pm Zoom (click here to attend on Zoom)

Rose McCarty, Georgia Institute of Technology
Neighborhood complexity and matroids

Abstract: We will discuss neighborhood complexity in graphs and some of its many applications. We will touch on applications to graph coloring, discrete geometry, and first-order logic. However, our main focus will be using neighborhood complexity to find the "unavoidable" GF(q)-representable cosimple matroids of large girth. This talk is based on joint work with James Davies, Meike Hatzel, Kolja Knauer, and Torsten Ueckerdt.

Tuesday, September 23, 2025

Posted August 2, 2025
Last modified September 10, 2025

Algebra and Number Theory Seminar Questions or comments?

2:00 pm – 3:00 pm Lockett 233 or click here to attend on Zoom

Andreas Mono, Vanderbilt University
A modular framework for generalized Hurwitz class numbers

We discover a neat linear relation between the mock modular generating functions of the level $1$ and level $N$ Hurwitz class numbers. This relation gives rise to a holomorphic modular form of weight $\frac{3}{2}$ and level $4N$ for $N > 1$ odd and square-free. This follows from a more general inspection of the weight $\frac{1}{2}$ Maass–Eisenstein series of level $4N$v at its spectral point $s = \frac{3}{4}$. This idea goes back to Duke, Imamoğlu and Tóth in level $4$ and relies on the theory of so-called sesquiharmonic Maass forms. Furthermore, we connect the aforementioned results to a regularized Siegel theta lift as well as a regularized Kudla–Millson theta lift for odd prime levels, which builds on earlier work by Bruinier, Funke and Imamoğlu. This is joint work with Olivia Beckwith. We conclude by presenting the situation in higher weights as well, which is sole work.

Wednesday, September 24, 2025

Posted September 1, 2025

Geometry and Topology Seminar Seminar website

3:30 am Lockett 233

Robin Koytcheff, University of Louisiana, Lafayette
TBA

TBA

Posted August 27, 2025

Informal Geometry and Topology Seminar Questions or comments?

1:30 pm Lockett Hall 233

Gargi Patil, Louisiana State University
TBD

TBD

Wednesday, October 1, 2025

Posted September 10, 2025

Geometry and Topology Seminar Seminar website

3:30 am Lockett 233

Colin Crowley, University of Oregon
TBA

TBA

Posted August 27, 2025

Informal Geometry and Topology Seminar Questions or comments?

1:30 pm Lockett Hall 233

Saumya Jain, Louisiana State University
TBD

TBD (Independent Talk)

Friday, October 3, 2025

Posted August 14, 2025

Control and Optimization Seminar Questions or comments?

10:30 am – 11:20 am Zoom (click here to join)

Xin Zhang, New York University
TBA

Posted March 28, 2025
Last modified September 15, 2025

Applied Analysis Seminar Questions or comments?

3:30 pm TBA

Wenxiong Chen , Yeshiva University
TBA

Event contact: Jiuyi Zhu

Monday, October 6, 2025

Posted March 16, 2025
Last modified September 15, 2025

Applied Analysis Seminar Questions or comments?

2:30 pm TBA

Nicola Garofalo, Arizona State University Charles Wexler Professor in Mathematics,
TBA

Event contact: Jiuyi Zhu

Posted August 3, 2025
Last modified September 15, 2025

Applied Analysis Seminar Questions or comments?

3:30 pm TBA

Donatella Danielli, Arizona State University School Director and Foundation Professor
TBA

Event contact: Jiuyi Zhu

Wednesday, October 8, 2025

Posted August 27, 2025

Informal Geometry and Topology Seminar Questions or comments?

1:30 pm Lockett Hall 233

Krishnendu Kar, Louisiana State University
TBD

TBD

Friday, October 10, 2025

Posted August 1, 2025

Control and Optimization Seminar Questions or comments?

10:30 am – 11:20 am Zoom (click here to join)

Felix Schwenninger, University of Twente, The Netherlands
TBA

Tuesday, October 14, 2025

Posted August 2, 2025

Algebra and Number Theory Seminar Questions or comments?

2:00 pm – 3:00 pm Lockett 233 or click here to attend on Zoom

Kenz Kallal, Princeton University
TBA

Wednesday, October 15, 2025

Posted August 27, 2025

Informal Geometry and Topology Seminar Questions or comments?

1:30 pm Lockett Hall 233

Adithyan Pandikkadan, Louisiana State University
TBD

TBD

Posted September 10, 2025

Harmonic Analysis Seminar

3:30 pm – 4:30 pm Lockett 138

Bruno Poggi, University of Pittsburgh
TBA

Monday, October 20, 2025

Posted August 27, 2025
Last modified September 12, 2025

Applied Analysis Seminar Questions or comments?

3:30 pm Lockett Hall 233

Xuenan Li, Columbia University
TBA: Something on 2D electronic materials

Event contact: Stephen Shipman

Tuesday, October 21, 2025

Posted September 2, 2025

Algebra and Number Theory Seminar Questions or comments?

2:00 pm Lockett 233 or click here to attend on Zoom

Guanyu Li, Cornell University
Derived Commuting Schemes, Representation Homology, and Cohomology of Lie Algebras

The commuting schemes of an algebraic group or a Lie algebra play important roles in many areas of mathematics. They can be viewed as special cases of representation schemes, which are often highly singular. Derived algebraic geometry provides tools to remedy the deficiency. In particular, the derived representation scheme, together with its associated algebraic invariant known as representation homology, offers deeper insights into the structure of representation schemes. While the representation homology of reductive groups and reductive Lie algebras has been studied in the literature, it is natural to ask about the behavior of these objects and their relationships in the non-reductive setting. In this talk, I will discuss the derived commuting scheme of a maximal unipotent subgroup of a semisimple group scheme, as well as the derived commuting scheme of its Lie algebra. First, the higher structure of the derived commuting scheme detects whether the underlying commuting scheme is a complete intersection. Unlike the reductive case, the derived commuting scheme of a unipotent subgroup is equivalent to that of its Lie algebra. Using an analogue of the trace map, most of the homology classes can be explained in terms of the classical cohomology of a maximal nilpotent Lie algebra, described via the root system of the semisimple Lie algebra. This could be interpreted that the singularities of the commuting scheme of a maximal nilpotent subalgebra are largely determined by root system data. If time permits, I will also discuss a possible nilpotent analogue of the Macdonald identity, together with an interpretation in terms of representation homology.

Wednesday, October 22, 2025

Posted September 1, 2025

Geometry and Topology Seminar Seminar website

3:30 am Lockett 233

Matthew Haulmark, UT Rio Grande Valley
TBA

TBA

Posted August 27, 2025

Informal Geometry and Topology Seminar Questions or comments?

1:30 pm Lockett Hall 233

Remi Mandal, Louisiana State University
TBD

TBD

Friday, October 24, 2025

Posted September 5, 2025

Control and Optimization Seminar Questions or comments?

10:30 am – 11:20 am Zoom (click here to join)

Naira Hovakimyan, University of Illinois Urbana-Champaign Fellow of AIAA, ASME, IEEE, and IFAC
Safe Learning in Autonomous Systems

Learning-based control paradigms have seen many success stories with autonomous systems and robots in recent years. However, as these robots prepare to enter the real world, operating safely in the presence of imperfect model knowledge and external disturbances is going to be vital to ensure mission success. We introduce a class of distributionally robust adaptive control architectures that ensure robustness to distribution shifts and enable the development of certificates for validation and verification of learning-enabled systems. An overview of different projects at our lab that build upon this framework will be demonstrated to show different applications.

Tuesday, October 28, 2025

Posted September 9, 2025

Algebra and Number Theory Seminar Questions or comments?

2:00 pm – 3:00 pm Lockett 233 or click here to attend on Zoom

Kalani Thalagoda, Tulane University
A summation formula for Hurwitz class numbers

The Hurwitz class numbers, $H(n)$, count ${\rm SL}(2,\mathbb{Z})$-classes of binary quadratic forms inversely weighted by stabilizer size. They are famously connected to the sum of three squares problem and to class numbers of imaginary quadratic fields. The work of Zagier in 1975 showed that their generating functions are related to a weight $3/2$ Harmonic Maass form. In this talk, I will discuss a summation formula for mock modular forms of moderate growth, with an emphasis on its application to Hurwitz class numbers. This is joint work with Olivia Beckwith, Nicholas Diamantis, Rajat Gupta, and Larry Rolen.

Wednesday, October 29, 2025

Posted September 1, 2025
Last modified September 2, 2025

Geometry and Topology Seminar Seminar website

3:30 am Lockett 233

Chen Zhang, Stony Brook University
TBA

TBA

Posted August 27, 2025

Informal Geometry and Topology Seminar Questions or comments?

1:30 pm Lockett Hall 233

Nilangshu Bhattacharyya, Louisiana State University
TBD

TBD

Wednesday, November 5, 2025

Posted August 27, 2025

Informal Geometry and Topology Seminar Questions or comments?

1:30 pm Lockett Hall 233

Evan Short, Louisiana State University
TBD

TBD

Posted August 21, 2025

Geometry and Topology Seminar Seminar website

3:30 pm Lockett 233

Matthew Zaremsky, University at Albany (SUNY)
TBD

Thursday, November 6, 2025

Posted August 19, 2025

Colloquium Questions or comments?

3:30 pm Lockett 232

David Roberts, University of Minnesota, Morris
TBA

Friday, November 7, 2025

Posted July 26, 2025

Control and Optimization Seminar Questions or comments?

10:30 am – 11:20 am Zoom (click here to join)

Rami Katz, Università degli Studi di Trento, Italy
Oscillations in Strongly 2-Cooperative Systems and their Applications in Systems Biology

The emergence of sustained oscillations (via convergence to periodic orbits) in high-dimensional nonlinear dynamical systems is a non-trivial question with important applications in control of biological systems, including the design of synthetic bio-molecular oscillators and the understanding of circadian rhythms governing hormone secretion, body temperature and metabolic functions. In systems biology, the mechanism underlying such widespread oscillatory biological motifs is still not fully understood. From a mathematical perspective, the study of sustained oscillations is comprised of two parts: (i) showing that at least one periodic orbit exists and (ii) studying the stability of periodic orbits and/or characterizing the initial conditions which yield solutions that converge to periodic trajectories. In this talk, we focus on a specific class of nonlinear dynamical systems that are strongly 2-cooperative. Using the theory of cones of rank k, the spectral theory of totally positive matrices and Perron-Frobenius theory, we will show that strongly 2-cooperative systems admit an explicit set of initial conditions of positive measure, such that every solution emanating from this set converges to a periodic orbit. We further demonstrate our results using the n-dimensional Goodwin oscillator and a 4-dimensional biological oscillator based on RNA–mediated regulation.

Monday, November 10, 2025

Posted August 21, 2025
Last modified September 13, 2025

Applied Analysis Seminar Questions or comments?

3:30 pm Lockett Hall 233

Roy Goodman, New Jersey Institute of Technology
TBA: Something on Hamiltonian systems

Event contact: Stephen Shipman

Wednesday, November 12, 2025

Posted September 1, 2025

Geometry and Topology Seminar Seminar website

3:30 am TBA

Jayden Wang, University of Michigan
TBA

TBA