Events
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Computational and Applied Mathematics: Erik Bollt, Clarkson University, Next-Generation Reservoir Computing, and On Explaining the Surprising Success of a Random Neural Network for Forecasting Chaos
SAS 4201Machine learning has become a widely popular and successful paradigm, including for data-driven science. A major application is forecasting complex dynamical systems. Artificial neural networks (ANN) have evolved as a…
Stochastics and Discrete Analysis Seminar: Zoe Huang, UNC Chapel Hill, Cutoff for random Cayley graphs of nilpotent groups
SAS 4201We consider the random Cayley graphs of a sequence of finite nilpotent groups of diverging sizes G = G(n), whose ranks and nilpotency classes are uniformly bounded. For some k…
Applied Mathematics Graduate Student Seminar: James Garrison, NC State, Randomized Preconditioned Cholesky-QR in Mixed Precision
SAS 4201We analyze a randomized preconditioned Cholesky-QR algorithm for computing the thin QR factorization of real matrices with full rank. Using a perturbation analysis that is transparent and identifies clearly all…
Pure Math Graduate Student Seminar: Everett Meike, NC State, Cataloguing 2-adjacent knots
SAS 2106Generalizing unknotting number, n-adjacent knots have n crossings such that changing any non-empty subset of them results in the unknot. We determine the 2-adjacent knots through 12-crossings, with one exception.…
Geometry and Topology Seminar: Eric Hanson, NC State, Topological data analysis via relative homological algebra
SAS 4201One of the main approaches to topological data analysis is to study discrete invariants of (multiparameter) persistence modules. In this talk, we discuss recent research which utilizes techniques from (relative)…
Algebra and Combinatorics Seminar: Nick Mayers, NC State, The quantum k-Bruhat order
SAS 4201Finding combinatorial interpretations for the structure constants of Schubert polynomials is a long-standing open problem in algebraic combinatorics. In the case where one of the Schubert polynomials is a Schur…
Differential Equations and Nonlinear Analysis Seminar: Jone Apraiz, Universidad del País Vasco, Inverse problem for a one-dimensional fluid-solid interaction model
ZoomIn this talk we will first briefly review some geometric inverse problems we have studied for the one-dimensional heat, wave and Burgers equations. Then, we will consider a one-dimensional fluid-solid…
Computational and Applied Mathematics: Isaac Harris, Purdue University, Transmission Eigenvalue Problems for a Scatterer with a Conductive Boundary
SAS 4201In this talk, we will investigate the acoustic transmission eigenvalue problem associated with an inhomogeneous media with a conductive boundary. These are a new class of eigenvalue problems that are…
Colloquium: Bojko Bakalov, NC State, Dynamical Lie algebras
SAS 4201Quantum computers are physical machines that process information using the principles of quantum mechanics, which in turn is underpinned by linear algebra. The talk will start with a review of…
Stochastics/Discrete Analysis Seminar: Peter Rudzis, UNC Chapel Hill, Well-posedness and stationarity of infinite systems of competing Brownian particles
SAS 4201A number of continuous interacting particle systems can be described as collections of Brownian particles on the real line whose collision dynamics are mediated by the local times associated with…
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…
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…
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…
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…
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…
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…
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…