I will begin by probing into the past to discover the origins of the Finite Element Method (FEM), and then trace the evolution of those early developments to the present…
We will discuss some old and new results concerning the long-time behavior of solutions to the two-dimensional incompressible Euler equations. Specifically, we discuss whether steady states can be isolated, wandering…
In computational topology and geometry, theoretical guarantees for algorithms often take the following form: Start with a finite sample of points from a subspace of . If the sample is "dense…
Students will provide their job application materials in advance to the organizers, who will read and discuss them as a group with a view towards making positive improvements before submission. …
For some nice subclass of braided monoidal categories, the associator and braiding data are described by an Abelian 3-cocycle . Eilenberg and MacLane demonstrated a surprisingly simple isomorphism between the groups…
At the heart of modern deep learning is the deep neural nets accompanied by stochastic optimization and sampling algorithms. These architectures and algorithms have an explicit flavor. In particular, traditional…
ake a Difference: Mathematical Sciences R&D Careers at Sandia National Laboratories R&D Staff from Sandia National Laboratories will be on campus recruiting top NCSU math and statistics students. With sites in NM…
We introduce a method of solving inverse boundary value problems for wave equations on Lorentzian manifolds, and show that zeroth order coefficients can be recovered under certain curvature bounds. The…
2022 NCDS Fall Career Panel: Analyzing Data Science Careers | October 19 at 12 PM ET | Virtual Early career professionals and students won’t want to miss these data science professionals…
The story of noncrossing partitions starts with a Coxeter group W anda Coxeter element c. (If you're not familiar with Coxeter things, think: W is the symmetric group S_n and…
The so-called $l_0$ pseudonorm counts the number of nonzero components of a vector. It is standard in sparse optimization problems. However, as it is a discontinuous and nonconvex function, the…
PNNL will have an info session here on Wednesday (Oct 19) at 4:30-5:30 pm in SAS 4201 and via zoom. Free food will be provided. You will learn about the types…
If you're handed an unshuffled deck of cards, you'll likely attempt to do a so-called perfect shuffle. A perfect shuffle splits a deck of cards into two equal stacks and…
It is time again to prepare for the VTRMC -- The Virginia Tech Regional Mathematics Contest, which is sponsored by the Mathematics Department at Virginia Tech. The contest began in 1979 and has grown to the point where over 100 schools…
Ed Witten's papers in 1988 drew out the connection between Jones Polynomials of Knots and Chern-Simons theory of 3-dimensional TQFT. Following his work, Reshetikhin and Turaev formulated invariants of 3-manifolds…
Photoacoustic tomography (PAT) is a non-invasive imaging modality that requires recovering the initial data of the wave equation from certain measurements of the solution outside the object. In the standard…
A free boundary minimal surface (FBMS) in a given three-dimensional Riemannian manifold is a critical point of the area functional with respect to variations that constrain its boundary to the…
Speaker’s webpage: https://users.wfu.edu/masonsk/ Location: Jointly in person and virtually on Zoom. SAS 2225 for in-person participation. The Zoom link is sent out to the Algebra and Combinatorics mailing list, please…
During the preparation of a foundational chapter on manifolds of mappings for a book on geometric continuum mechanics I found out that the following object behaves surprisingly well as source…