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Computational and Applied Mathematics Seminar: Jian-Guo Liu, Duke University, Optimal Control for Transition Path Problems in Markov Jump Processes

SAS 4201

 Transition paths connecting metastable states are significant in science and engineering, such as in biochemical reactions. In this talk, I will present a stochastic optimal control formulation for transition path problems over an infinite time horizon, modeled by Markov jump processes on Polish spaces. An unbounded terminal cost at a stopping time and a running…

Math Honors Presentation Session: Kelsey Hanser, Mathew Kushelman and Logan Martyn

SAS 2203

1. Kelsey Hanser Title : Greedy Kohnert Posets  Abstract : K-Kohnert polynomials form a large family of polynomials which generalize Lascoux polynomials. Each K-Kohnert polynomial encodes a certain collection of diagrams which is formed from an initial seed diagram by applying what are called “Kohnert" and “ghost moves." In particular, Kohnert polynomials are the restrictions…

Geometry and Topology Seminar: Irina Kogan, NC State, An Introduction to Computational Invariant Theory (Part II)

SAS 4201

Invariants withstand transformations and, therefore, represent the essence of objects or phenomena. In mathematics, transformations often constitute a group action. Since the 19th century, studying the structure of various types of invariants and designing methods and algorithms to compute them remains an active area of ongoing research with an abundance of applications, in particular, to…

Mathematics Department Commencement Ceremony

McKimmon Center, Raleigh NC

Please save the date for the Department of Mathematics Spring 2024 Graduation Ceremony. Commencement starts at 5:30PM, with guest seating starting at 5:00PM.

GAMMA (Games in Applied Math, Modeling, and Analysis)

SAS 2235

Discover the beauty of mathematics and its wide applicability and power in everyday life! Grade Level: High School Students   Schedule of Events: 11-11:15 am Drop Off 11:15-11:30 am Introductions 11:30-12:30 pm Applied Math and Math Modeling 12:30-1:15 pm Lunch 1:15-2:15 pm Control and Optimization in Biomedicine 2:15-2:45 pm Closing Remarks and Snacks 2:45-3 pm…

Algebra and Combinatorics Seminar: Apoorva Khare, Indian Institute of Science (Bangalore, India), Schur polynomials: from smooth functions to symmetric function identities

SAS 1102

Cauchy's determinantal identity (1840s) expands via Schur polynomials the determinant of the matrix f, where f(t) = 1/(1-t) is applied entrywise to the rank-one matrix u v^T = (u_i v_j). This theme has resurfaced in the 2010s in analysis (following a 1960s computation by Loewner), in the quest to find polynomials p(t) with a negative coefficient that entrywise preserve…

Biomathematics Seminar: Orlando Arguello-Miranda, Department of Plant and Microbial Biology at NC State, Deep learning and the yet-to-be-discovered mathematical principles of biology

Cox 306

Biology is defined by non-linear reactions caused by numerous molecular components interacting inside living cells. The complexity of such systems has limited classical experimental approaches in their capacity to measure living biological networks. This talk will explore how new computational tools derived from artificial intelligence are currently applied to study complex biological networks in living…

Geometry and Topology: Teemu Saksala, NC State, Hyperbolic inverse problems with time dependent and time independent coefficients

SAS 4201

In this talk we will discuss the differences in the methodology of determining time-dependent and time-independent coefficients appearing in a hyperbolic equation in a Riemannian manifold. The talk is based on two recent research projects: 1) We will prove that a local source-to-solution map of a hyperbolic partial differential operator on a complete Riemannian manifold (no…

Computational and Applied Mathematics: Daniel Serino, Los Alamos National Lab, Structure-Preserving Machine Learning for Dynamical Systems

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Developing robust and accurate data-based models for dynamical systems originating from plasma physics and hydrodynamics is of paramount importance. These applications pose several challenges, including the presence of multiple scales in time and space and a limited number of data, which is often noisy or inconsistent. The aim of structure-preserving ML is to strongly enforce…

Department of Mathematics Fall Picnic

The Corner at Centennial Campus

I wanted to invite all of you to our Department of Mathematics Fall Picnic.  We will be holding it at The Corner on Centennial Campus from 12-2 pm on August 24th.  We look forward to seeing you and hope you will then take advantage of going to Packapalooza on Hillsborough Street from 2-10pm. Please sign…

Stochastics and Discrete Analysis Seminar: Michael Hott, University of Minnesota, On the quest for superconductivity in Twisted Bilayer Graphene

SAS 4201

Conventional superconductivity emerges for weakly interacting Fermi gases, and its emergence has been studied in mathematical physics. Such conventional superconductors, however, have a very low critical temperature, making them very expensive in applications. Unconventional superconductors, such as cuperates, on the other hand exhibit a very high critical temperature, but we have very little understanding of…

Algebra and Combinatorics Seminar: Corey Jones, NC State, An algebraic approach to discrete quantum field theories

SAS 4201

We will give an introduction to nets of associative algebras over discrete metric spaces, which arise in mathematical physics as axiomatizations of the observables content of quantum field theories over discrete spaces. We will present examples arising naturally from combinatorics and representation theory, and discuss some recent structural results about these objects. Speaker's website: https://www.coreyjonesmath.com/

Biomathematics Seminar: Lauren Childs, Department of Mathematics at Virginia Tech, Assessing the Impact of the Wolbachia-Based Control of Malaria

Cox 306

Malaria is a deadly infectious disease causing over 200 million cases and over half a million deaths each year. It is transmitted through the bite of an infectious Anopheles mosquito. Control methods, primarily focused on affecting the ability of the mosquito to bite or transmit the disease by employing insecticides, have reduced the impact of…

Algebra and Combinatorics Seminar: Yairon Cid-Ruiz, NC State, Multiplicities and integral dependence

SAS 4201

The theory of integral closure of ideals, originating in the early twentieth century with work of Krull, Zariski, Rees, and others, remains a vibrant area of research in algebraic geometry, commutative algebra, and singularity theory. This theory's significance partly stems from its connections with numerical invariants such as multiplicities. During the 1950s, significant advances by…

SUM Club: That Time We Discovered the Proof for a Major Open Question in Mathematics in a 4chan Post About Anime from 2011

SAS 2202

This Wednesday, September 4th at 6:00pm SUM Club will be hosting a comedy talk on some quirked up (recent) mathematical history! Our esteemed community coordinator, Quill Nebeker, will be presenting on: “That Time We Discovered the Proof for a Major Open Question in Mathematics in a 4chan Post About Anime from 2011” The meeting will be in…

Applied Math Graduate Student Seminar: Nikki Xu, NC State, Modeling in Reinforcement Learning for Robust Control

SAS 4201

Optimal control designed with reinforcement learning can be sensitive to model mismatch. We demonstrate that designing such controllers in a virtual simulation environment with an inaccurate model is not suitable for deployment in a physical setup. Controllers designed using an accurate model are robust against disturbance and small mismatch between the physical setup and the…

Pure Math Graduate Student Seminar: Jack Reever, The journey to finding an explicit solution to a cross-ratio system

SAS 2106

Integrable cross-ratio maps are solutions to one of the discrete integrable equations on quad-graphs. These maps may be of interest to many mathematicians; just to name a few uses, discrete holomorphic functions, orthogonal circle packings, and polygon recutting are all special cases of integrable cross-ratio maps. The goal of my research is to find an…