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
M. E. Taylor Analysis and PDE Seminar Website
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
M. E. Taylor Analysis and PDE Seminar Website
A tea preceding the event will be held from 3:00-3:30 pm in PH 330. Mathematics Colloquium Website
Collatz map as a power-bounded non-singular transformation Ergodic Theory Seminar Website
Syracuse maps as non-singular power-bounded transformations Ergodic Theory Seminar
M. E. Taylor Analysis and PDE Seminar Website
Stochastic and continuum modeling of protein polymer dynamics in neurons Abstract. Microtubules are protein polymers present in most cells; in neurons, microtubules are believed to be stable and to have specific orientations. This is crucial, since other key proteins get transported … Read more
