Events
Pure Math Graduate Student Seminar: Tim Ablondi, Investigating the $\widetilde{B}(V)$ Algebra From Hypertoric Geometry
SAS 2106This talk will begin by constructing a new algebra based on a generalization of the set of relations for Ozsváth-Szabó's bordered Heegaard Floer algebra $B(n,k)$. Then, I will strengthen an existing result by establishing an isomorphism between our new algebra and the algebra $\widetilde{B}(\mathcal{V})$ associated with an arrangement of real affine hyperplanes. If time permits, I’ll…
Operations Research Seminar: Chao Chen, NC State, Efficient matrix computation for scientific computing and data analytics
4290 Fitts Woolard HallMatrix computations are ubiquitous in scientific computing and data science. However, many existing methods consume enormous computational resources for solving increasingly large and complex problems. In this talk, I will describe my work on exploiting mathematical structures and hardware capabilities to accelerate matrix computations. I will focus on a randomized algorithm, namely RChol, for computing…
Geometry and Topology Seminar: François Monard, UC Santa Cruz, The geodesic X-ray transform and boundary behavior
SAS 4201On a Riemannian manifold with boundary, the X-ray transform integrates a function or a tensor field along all geodesics through the manifold. The reconstruction of the integrand of interest from its X-ray transform is the basis of important inverse problems in seismology and medical imaging. For this transform, statements of injectivity and microlocal stability in the interior of the domain were established some…
Algebra and Combinatorics Seminar: Hugh Thomas, Université du Québec à Montréal, Cyclic actions on noncrossing and nonnesting partitions
SAS 4201Noncrossing partitions and nonnesting partitions are both counted by Catalan numbers. Noncrossing partitions on admit a natural cyclic action of order 2n, induced by the Kreweras complement. Nonnesting partitions admit a natural toggle-based action; in fact, they admit one such action for each choice of Coxeter element of the symmetric group. We prove that the latter actions all…
Math Department Weekly Tea
SAS 4104Special 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