Resonances and transmission for waves in truncated media Abstract. In a lot of toy models in quantum mechanics, you can construct “states” that live only at certain ”energies” by trapping things into specific regions, say using an infinite square well … Read more
Interior Hessian estimates for singularities of the Lagrangian mean curvature flow Abstract. In this talk, we discuss the history of the Lagrangian Mean Curvature equation beginning with the special Lagrangian equation of Harvey and Lawson. We consider the hypercritical case … Read more
Mathematical modeling of polymerization processes in physiology Abstract: Polymerization, or aggregation, is essential for many physiological systems. For example, the emergence of a fibrin polymer mesh during the formation of a blood clot is required for a stable clot and … Read more
A geometric flow towards Hamiltonian stationary submanifolds Abstract. In joint work with Jingyi Chen, we introduce a geometric flow for Lagrangian submanifolds in a Kähler manifold which stays in its initial Hamiltonian isotopy class and is a gradient flow for … Read more
Applied Mathematics Colloquium
On the quest for superconductivity in TBG Abstract. Conventional superconductivity emerges for weakly interacting Fermi gases, and its emergence has been studied in mathematical physics. Such conventional superconductors, however, have a very low critical temperature, making them very expensive in … Read more
Title: Energy landscapes, metastability, and transition paths
Pre-Colloquium Tea in PH 330 from 3:00-3:30pm.
Title: Quantization of the Ngô morphism
Reconstruction of Small and Extended Regions in EIT with a Robin Transmission Condition Abstract. In this talk, we will discuss some applications of the Regularized Factorization Method (RegFM) to a problem coming from Electrical Impedance Tomography (EIT) with a first-order … Read more
Title: Torelli groups and the geometry and arithmetic of moduli spaces of curves
Pre-Colloquium Tea in PH 330 from 3:00-3:30pm.
Title: Multiplicative structure of the K-theoretic McKay correspondence for Hilbert schemes of points
Existence of two-dimensional deep capillary solitary water waves with constant vorticity Abstract. We consider the two-dimensional capillary water waves with nonzero constant vorticity in infinite depth, studying a Babenko equation that describes the profile of a solitary wave. When the … Read more
