Events
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Special Event: Triangle Area Inverse Problems Weekend
SAS 4201How to use mathematics to see inside something that is too large or too precious to be opened up? Would you like to learn about the mathematical theory behind medical and seismic imaging? Attend Triangle Area Inverse Problems Weekend at NC State University from Friday October 4 thru Sunday October 6 to learn more. The event is…
Stochastics/Discrete Analysis Seminar: Chin Ho Lee, NC State Computer Science, The trace reconstruction problem
SAS 4201The trace reconstruction problem asks to reconstruct an unknown n-bit string x given independent random "traces" of x, where a random trace is obtained by first deleting each bit of x independently with some probability (say 0.5), and then outputting the concatenation of the remaining bits of x. A basic question is to determine the…
Applied Mathematics Graduate Student Seminar: Steven Maio, NC State, A Machine Learning Primal Heuristic for Mixed-Integer Programming
SAS 4201Applications of machine learning (ML) in mixed-integer program (MIP) optimization is an active area of research. The human-designed heuristics used by MIP solvers rely on domain expertise and years of experience with the expectation of applicability to only a specific problem class. The underlying question is whether training can simulate expertise and experience. We consider…
Geometry and Topology Seminar: Andrew Shedlock, NC State, Lipschitz Stability of Travel Time Data
SAS 4201The travel time map of a compact length space with a closed measurement set takes any point of the space to the function which measures the distance from this point to every point in the measurement set. The range of this map is called the travel time data, and it appears in the proofs of…
Algebra and Combinatorics Seminar: John Graf, NC State, Symmetric Functions, Plethysm, and Schur’s Q-functions
SAS 4201The Schur functions are an important basis of the ring of symmetric functions, and Schur’s Q-functions enjoy many analogous properties as a basis of the subring Gamma. We will begin by discussing various properties and bases of symmetric functions, before moving on to the comparisons between Schur functions and Schur’s Q-functions. In particular, plethysm is…
First Year Research Seminar: Sharon Lubkin and Bojko Bakalov, NC State, morphogenesis modeling and Lie algebras, quantum computing, mathematical physics
SAS 2225During each 50-minute First Year Research Seminar, two faculty give our new graduate students a short (~20-25 minute), accessible talk about their research or research area. First Year Research Seminar link
Math Department Weekly Tea
SAS 4104Differential Equations and Nonlinear Analysis Seminar: Silvia Villa, Università di Genova, Structured stochastic zeroth order optimization
ZoomIn the framework of black-box optimization, I will present new algorithms, based on the stochastic estimation of the gradient via finite differences with structured directions. I will describe their convergence properties under various assumptions and show some numerical results. Speaker's website: https://www.dima.unige.it/~villa/ Zoom meeting: link
Computational and Applied Mathematics: Shixu Meng, Virginia Tech, Exploring low rank structures for inverse scattering problems
SAS 4201Inverse problems are pivotal in a variety of applications, such as target identification, non-destructive testing, and parameter estimation. Among these, the inverse scattering problem in inhomogeneous media poses significant challenges, as it seeks to estimate unknown parameters from available measurement data. To understand the mathematics of machine learning approaches for inverse scattering, we develop a…
Quantum Groups and Representation Theory Conference
SAS Hall LobbyEvent webpage: https://sites.google.com/ncsu.edu/conf-quantum-groups-rep2024/home?pli=1 This conference is in celebration of Kailash Misra's 70th birthday.
Geometry and Topology Seminar: Amir Vig, University of Michigan, Potential Theory and Feynman Diagrams in Spectral Theory
Cox 306In 1966, Mark Kac posed the famous question “Can you hear the shape of a drum?” Mathematically, this amounts to recovering the geometry of a Riemannian manifold from knowledge of its Laplace spectrum. In the case of strictly convex and smooth bounded planar domains, the problem is very much open. One technique for studying the…
Algebra and Combinatorics Seminar: Ritvik Ramkumar, Cornell University, Hilbert scheme of points on a threefold
SAS 4201The Hilbert scheme of d points on a smooth variety X, denoted by Hilb^d(X), is an important moduli space with connections to various fields, including combinatorics, enumerative geometry, and complexity theory, to name a few. In this talk, I will introduce this object and review some well-known results when X is a curve or a…
Math Department Weekly Tea
SAS 4104Differential Equations and Nonlinear Analysis Seminar: Ziad Musslimani, Florida State University, Space-time nonlocal integrable systems
ZoomIn this talk I will review past and recent results pertaining to the emerging topic of integrable space-time nonlocal integrable nonlinear evolution equations. In particular, we will discuss blow-up in finite time for solitons and the physical derivations of many integrable nonlocal systems. Speaker's website: https://www.math.fsu.edu/~musliman/ Zoom meeting: link
Computational and Applied Mathematics: Jaeyong Lee, Chung-Ang University, Real-Time Solutions to PDEs with Neural Operators in SciML
SAS 4201Recent advancements in deep learning have led to a surge in research focused on solving scientific problems under the "AI for Science." Among these efforts, Scientific Machine Learning (SciML) aims to address domain-specific data challenges and extract insights from scientific datasets through innovative methodological solutions. A particularly active area within SciML involves using neural operators…
Stochastics/Discrete Analysis Seminar: Kevin Ren, Princeton University, Projections of fractal sets in R^2
SAS 4201Given a set K in R^2 with Hausdorff dimension t \in , what can we say about a typical orthogonal projection of K? Marstrand (1954) proved that for Lebesgue almost all unit vectors \theta \in S^1, the dimension of the projection \pi_\theta (K) to \theta is min{t, 1}. To refine the question, we can replace…
Geometry and Topology Seminar: Saman Habibi Esfahani, Duke, Gauge theory beyond low dimensions: progress on compactness conjectures
SAS 4201(Based on joint work with Yang Li). I will present an overview of Donaldson's program to extend the methods of gauge theory and Floer homology from 3- and 4-manifolds to higher dimensions, with a focus in this talk on Calabi-Yau 3-folds. After discussing the background material in gauge theory and Calabi-Yau geometry, I will highlight…
Algebra and Combinatorics Seminar: Rafael S. González D’León, Loyola University Chicago, On Whitney numbers of the first and second kind, or is it the other way around?
SAS 4201The Whitney numbers of the first and second kind are a pair of poset invariants that are relevant in various areas of mathematics. One of the most interesting appearances of these numbers is as the coefficients of the chromatic polynomial of a graph. They also appear as counting regions in the complement of a real…
Differential Equations and Nonlinear Analysis Seminar: Emilio Vilches Gutiérrez, Universidad de O’Higgins, Chile, Recent Developments in Moreau’s Sweeping Processes
ZoomThe sweeping process is a first-order differential inclusion involving the normal cone to a family of moving sets. It was introduced by J.J. Moreau in the early seventies to address an elastoplastic problem. Since then, it has been used to model constrained dynamical systems, nonsmooth electrical circuits, crowd motion, mechanical problems, and other applications. The…