Carter Jameson, NC State, Data science and mathematical modeling approaches to studying collective motion
ZoomChair: Kevin Flores (kbflores@ncsu.edu, contact for Zoom access)
Chair: Kevin Flores (kbflores@ncsu.edu, contact for Zoom access)
The resurging interest in deep learning is commonly attributed to advances in hardware and growing data sizes and less so to new algorithmic improvements. However, cutting-edge numerical methods are needed…
A popular method to approximate a fixed point of a non-expansive map is C is the Krasnoselskii-Mann iteration. This covers a wide range of iterative methods in convex minimization, equilibria,…
Chair: Tien Khai Nguyen, contact for Zoom access.
Many biological organisms are comprised of deformable porous media, with additional complexity of an embedded muscle. Using geometric variational methods, we derive the equations of motion for the dynamics of…
Chair: Hien Tran (tran@ncsu.edu, contact for Zoom access)
I will discuss stochastic geometry of random concave functions. In particular, I will explain how a "local" stochastic dominance underlies several functional inequalities. Emphasis will be on a notion of…
Modular tensor categories arise naturally in many areas of mathematics, such as conformal field theory, quantum groups and Hopf algebras, low dimensional topology, representations of braid groups, and they have…
Two-dimensional crystals have been intensely investigated both experimentally and theoretically since graphene was exfoliated from graphite. Physicists have recently developed the ability to stack one layer on another with a…
Mesh-free methods for boundary value problems (BVPs) can be convenient on manifolds where generating a mesh may be difficult or when the manifold is not known explicitly but is determined…
The question of measuring "handedness" is of some significance in both mathematics and in the real world. Propellors and screws, proteins and DNA, in fact *almost everything* is chiral. Can…
Zoom ID: 936 5420 1948 Password: the last four digits of the Zoom ID in reverse order
Randomized methods are becoming increasingly popular in numerical linear algebra. However, few attempts have been made to use them in developing preconditioners. Our interest lies in solving large-scale sparse symmetric…
Mean field game PDE systems were introduced by J-M. Lasry and P.-L. Lions to describe Nash equilibria in multi-agents dynamic optimization. In the simplest model, those are forward-backward systems coupling…
Dustin Kapraun attained degrees in mathematics (B.S., 1998), physics (M.S., 2002), and applied mathematics (Ph.D., 2014), all from North Carolina State University. After finishing the Ph.D., he completed two postdoctoral…
We show that every $n \times n$ real matrix $A$ is within distance $\delta \|A\|$ in the operator norm of an $n\times n$ real matrix $A'$ whose eigenvectors have condition…