Eigenvalue Optimization and Minimal Surfaces Abstract. I will discuss a new method, developed in collaboration with M. Karpukhin, R. Kusner, and D. Stern, for constructing minimal surfaces embedded in the 3-sphere and the 3-ball, by equivariant eigenvalue optimization. A main … Read more
Row-Column Mirror Symmetry for Colored Torus Knot Homology Abstract. The HOMFLYPT polynomial is a 2-variable link invariant generalizing the celebrated Jones polynomial and other Type A quantum link polynomials. Its construction passes through a Hecke algebra representation of the braid … Read more
Curved Fukaya algebras and the Dubrovin spectrum Abstract: The cohomology ring of a compact symplectic manifold can be deformed by counting pseudo-holomorphic spheres. Fukaya-Oh-Ohta-Ono developed an obstruction theory that explains when Lagrangian submanifolds yield modules over such deformation, based on … Read more
Crouzeix's Conjecture, Blaschke Products, and Numerical Ranges Abstract. Crouzeix’s Conjecture is an important open problem in operator theory that posits: for every square matrix A, the numerical range of A is a two spectral-set for A. In this talk, we’ll … Read more
On the global well-posedness of the Boltzmann hierarchy Abstract. The Boltzmann hierarchy is an infinite system of linear coupled equations that are instrumental for the rigorous derivation of the Boltzmann equation from many particles. In this talk we will show … Read more
On the Poisson summation conjecture Abstract: Braverman, Kazhdan, Lafforgue, Ngo, and Sakellaridis have conjectured that Fourier analysis on a vector space is but the first example of a larger phenomenon. More generally, one should have Schwartz spaces, Fourier transforms, and, … Read more
Brauer Lectures Website
Brauer Lectures Website
Brauer Lectures Website
Physically Inspired Mathematics Seminar
Recovery of time-dependent coefficients in hyperbolic equations on Riemannian manifolds from partial data. Abstract. In this talk we discuss inverse problems of determining time-dependent coefficients appearing in the wave equation in a compact Riemannian manifold of dimension three or higher. … Read more
Spectral lines of general-relativistic hydrogen Abstract. After reviewing basics of the spectral theory for non-relativistic quantum-mechanical Hamiltonians of hydrogenic ions, I discuss what impact the incorporation of additional effects such as special relativity, anomalous magnetic moment for the electron, and … Read more
