Nabla Seminar 2025Fall
Grad Analysis Seminar at Rutgers University
Grad Analysis $\nabla$ Seminar is a graduate seminar at Rutgers University, Department of Mathematics, Orgnized by Qi Ma since Nov. 2024.
This page is for seminars held in 2025 Fall. This semester we meet regularly on Monday at 5:00 p.m. in the Mathematics Graduate Lounge (Hill 701). We are looking for speakers. Please let me, Aprameya or Anupam know if you want to give a talk.
To see seminars in other semesters, please refer to Nabla.
2025 Oct.13 , Speaker: Erik Bahnson
Title: The “simple” equation for a system of interacting Bosons
Abstract: In this talk, I will discuss the “simple” equation, a non-linear integro-differential equation which has been recently studied by Ian Jauslin, Eric Carlen and Elliot Lieb. I will show an existence result. Along the way, we will discuss tools from functional analysis, including contraction semigroups, the Hille-Yosida Theorem and the Kato-Rellich Theorem.
2025 Sept.29 , Speaker: Nilava Metya
Title: An elementary proof of Pisier's inequality
Abstract: We'll give an elementary and constructive proof of Pisier’s inequality, which is central in the study of normed spaces and has important applications in convex geometry. Along the way, we will discuss tools of harmonic analysis.
2025 Sept.22 , Speaker: Junyoung Park
Title: On the interior Holder estimate for parabolic equation
Abstract: In this talk, I will discuss the Krylov Safanov estimates for parabolic equations. The estimate gives us an interior holder continuity of solution to parabolic equations in nondivergence form. We will prove the estimate by first establishing a weak Harnack inequality. Then by applying the Harnack inequality, we will obtain an oscillation decay which leads to the desired holder estimate.
2025 Sept.15 , Speaker: Dana Zilberberg
Title: The Fractional Helmholtz Equation
Abstract: The main focus of my talk will be the Fractional Helmholtz Equation (a non local PDE), and in particular the question of a proper condition at infinity to ensure the uniqueness of the solution. I will briefly talk about the fractional Laplacian and a few of its properties, then I will tell you how to compute the Green's function of the fractional Helmholtz equation and finally I will spend some time sketching the uniqueness of the solution to this equation.