Welcome to the home page of the Graduate Analysis Seminar. This page will list the past and upcoming talks for the seminar. For the Fall 2015 Semester, the seminar will run at 2:00 pm on Wednesdays in the Graduate Student Lounge (Hill 701).
In Spring 2015, the seminar was led by Matt Charnley. Please click here for the information from that semester.
Click here to return to my personal homepage, or here to return to the Rutgers Math Department Home Page.
Speaker: Shadi Tahvildar-Zadeh
Date: December 2, 2015
Abstract: In this talk I will explain how the math department's teaching assignment problem is related to the classical N-queens problem, and how I set up a differential equation in order to solve it.
Speaker: Katie McKeon
Date: November 18, 2015
Abstract: Given a continuous map T on a compact metric space X, we examine M(T) the set of measures on X which are invariant under T. In this talk, we'll show that M(T) is non-empty, closed, convex, and it's extreme points are ergodic measures. In the special case when M(T) consists of a single point, we can improve ergodic theorems from "almost everywhere" results to "everywhere" results.
Speaker: Tom Sznigir
Date: November 4, 2015
Abstract: Newton's method is introduced in first-year calculus as a way to use the derivative of a function to help find its roots. When it works, the convergence is generally quadratic, i.e. the number of accurate digits doubles at each step. The method can be readily extended to find the zeroes of functions F: R^n -> R^n. In fact, it can be used in a general Banach space setting to find roots of nonlinear operators. We will cover this formulation and its applications.
Speaker: Frank Seuffert
Date: October 7, 2015
Abstract: Click Here.
Speaker: Matt Charnley
Date: September 30, 2015
Abstract: There are several different methods that have been used to model Maxwell's Equations. One of the most potent and flexible ones is the Finite Difference Time Domain method. In this talk, we will outline the basic properties of this method, as well as some modifications that need to be made for it to work in a given situation. We will also discuss work done towards object identification under these circumstances. This is work with Prof. Aihua Wood, AFIT.
Speaker: Érik de Amorim
Date: September 23, 2015
Abstract: To kick start the analysis talks this semester, I will go over the most elementary proof that I know of the Little Picard Theorem in complex analysis. This cool theorem states that a nonconstant complex analytic function on the entire plane must assume every complex value, with the possible exception of at most one number. This is usually proven with techniques inspired in differential geometry, and is used as a Lemma in the proof of the Great Picard Theorem. But an elementary proof exists going through the so-called Bloch's Theorem, which is a very surprising result itself. Only a basic understanding of the complex numbers is required for this talk!