Higher codimension area-minimizers: structure of singularities and uniqueness of tangent cones Abstract. The problem of determining the size and structure of the interior singular set of area-minimizing surfaces has been studied thoroughly in a number of different frameworks, with many … Read more
Asymptotic Preserving Numerical Methods for Multiscale Problems Abstract. Many phenomena in nature exhibit multiscale behaviors, which can be rather different in character. These phenomena can be categorized into two groups. On the one hand, there are problems featuring localized singularities, … Read more
Integrable lattice models and symmetric functions: Part 2 Physically Inspired Mathematics Seminar Website
Homogenization of the Einstein equations under symmetry Abstract. Due to their nonlinear nature, the Einstein's equations are not closed under weak convergence. Compactness singulaties associated to highly oscillatory solutions may be identified with additional, non-trivial matter. In 1989, Burnett conjectured … Read more
Eigenfunction concentration and Weyl Laws via geodesic beams Abstract. A broad spectrum of physical phenomena, including the localization of quantum particles, is governed by the behavior of Laplace eigenvalues and eigenfunctions. This behavior is intrinsically connected to that of the … Read more
On Liouville's theorem for conformal maps Abstract. A theorem of Liouville asserts that the simplest conformal transformations on Euclidean space---translations, dilations, reflections, and inversions---generate all conformal transformations when the dimension is at least 3. I will describe a new proof … Read more
Unbounded damped waves: backward uniqueness and polynomial stability Abstract. In this talk, we discuss the wave semigroup with an unbounded damping. In such a setting, there are explicit examples where the linear damped waves would go into finite-time extinction. We … Read more
Slice-Matching for Measure Transport: Approximation and Iterative Schemes Abstract: Transporting and estimating probability measures are fundamental tasks in various generative modeling methods like normalizing flows. An equally crucial aspect is having a suitable metric to gauge model performance and guide algorithm … Read more
Shape-morphing modes for solving PDEs with conserved quantities Abstract. I introduce shape-morphing modes for efficient and scalable approximation of solutions to time-dependent PDEs. Numerical methods typically assume the solution of a PDE as the linear combination of static modes, such as … Read more
Collatz map as a power-bounded non-singular transformation Ergodic Theory Seminar Website
Zoom link Syracuse maps as non-singular power-bounded transformations Ergodic Theory Seminar
Join us at the Tate-Turner-Kuralt Auditorium to experience five 15-minute presentations by the recipients of the Phillip and Ruth Hettleman Prizes for Scholarly Achievement. Among these presentations, one will be given by Yaiza Canzani, focusing on her research regarding … Read more
