TAGMaC Fall 2024

The NC State chapter of the AMS will be hosting TAGMaC at SAS Hall (2311 Stinson Dr. Raleigh, NC) on November 2nd from 9:00-5:00 pm.

Plenary Talk

We are please to welcome Dr. Arvind K. Saibaba as our plenary speaker this year.

Dr. Arvind Saibaba is an Associate Professor of Mathematics at NC State university. Arvind completed their PhD in Computational and Mathematical Engineering at Stanford University under Dr. Peter Kitanidis. Their work is highly interdisciplinary; Arvind is part of the Numerical Analysis and Scientific Computing research group and studies numerical linear algebra, inverse problems, and uncertainty quantifications, with motivations in imaging and geosciences. Dr. Saibaba was presented the NSF CAREER Award in 2019 and has achieved many grants with the NSF and the DOE.

Title: A matrix walks into a casino: Monte Carlo methods for estimating the diagonals of a matrix

Abstract: Monte Carlo is a class of probabilistic methods named for the eponymous casino in Monaco. It has applications in many areas of science and engineering. The core idea of Monte Carlo is to use random sampling to learn the properties of a system. In this talk, I will discuss how Monte Carlo methods can be used to estimate the diagonals of a matrix that is accessible only through matrix-vector products. Our analysis is based on a novel use of matrix concentration inequalities. Our bounds are independent of the matrix dimension and highlight the role of diagonal dominance of the matrix. We will highlight two applications of our work: in network science, to rank the importance of each node in a network, and in global sensitivity analysis, to quantify the importance of the inputs of a function. This is joint work with Ilse Ipsen (NC State) and Eric Hallman (was at NC State, now at eBay).

Schedule and Abstracts

Click here for a detailed schedule and list of abstracts.

Time	Event
9:30-9:55	Registration and Breakfast
10:00-10:50	Plenary Talk: Arvind Saibaba (NC State) A matrix walks into a casino: Monte Carlo methods for estimating the diagonals of a matrix
11:00-11:25	Coffee Break
	Analysis and PDEs – SAS 1108	Homology and Knot Theory – SAS 1218	Algebra and Combinatorics – SAS 1220
11:30-10:50	Javier Madariaga (NC State) Randomly activated proximal methods for nonsmooth convex minimization	Timothy Ablondi (NC State) Hypertoric geometry and bordered Heegaard Floer	John Graf (NC State) Symmetric functions and plethysm*
12:00-12:20	Rachel Morris (NC State) Uniform convergence guarantees for adversarially robust learning	Chongyao Chen (Duke) Generic Torelli theorem for Calabi-Yau varieties	Yan Liu (Wake Forest) Chromatic quasisymmetric functions at q = -1*
12:30-12:50	Diego Cornejo (NC State) Variational analysis of proximal compositions*	Everett Meike (NC State) Cataloging 2-adjacent knots	Diego Castedo Pena (NC State) Homomorphs and formations in Leibniz algebras*
12:55-1:10	Group Photo – SAS Second Floor
1:15-2:30	Lunch
2:30-2:50	Andrew Shedlock (NC State) Lipschitz stability of travel time data*	Ezra Aylaian (Duke) Tile numbers of knot corner mosaics*	Jaxon Wheeler (Wake Forest) Actions of Pansera’s Hopf algebras on cubic AS regular algebras
3:00-3:20	Ben Bechtold (UNC) Geometric methods in nonlinear waves	Elijah Rutter (NC State) Decategorified bordered sutured Floer homology	Rena Chu (Duke) Short character sums evaluated at homogeneous polynomials*
3:30-3:50		Patrick Martin (NC State) Torsion in (Eulerian) magnitude homology	Daniel Profili (NC State) Conditions for Eigenvalue configurations of two real symmetric matrices*

* – talk is accessible to undergraduates

Parking and Transportation

Parking is free on NC State’s campus on the weekend. There is a parking lot behind SAS hall which connects to the first floor lobby. More travel information can be found at this link.

Registration

You may register to attend TAGMaC by clicking this link.

The deadline to register is October 25th for all attendees. Lunch, breakfast, and coffee will be provided. We are not able to provide any reimbursement or lodging.