Mathematics
Mathematics Graduate Seminar - Spring 2022
The seminar is scheduled from 1:00 pm - 2:00 pm on Thursday afternoon in Bruner Hall 308.DATE | SPEAKER | TITLE/Abstract |
---|---|---|
January 20 | Dr. Yung-Way Liu | Mathematical Modeling of Image Formation by Two Mirrors |
January 27 | No Seminar | |
February 3 | Alizza Schremp | Coefficients of the Characteristic Polynomial |
Feruary 10 | Amy Chambers | Results Concerning Positive Elements of C*-Algebras - In this talk we will define what is meant by a positive element of a C*-algebra and will discuss some basic results concerning such elements. Results concerning positive elements form the building blocks of proofs of some very important theorems in Operator Theory, including the GNS Representation Theorem. Definitions of Hilbert spaces, C*-algebras, and B(H) will be included. |
February 17 | Dr. Motoya Machida | Is Finance Mathematics? An Introduction to Stochastic Processes - In 1905 Albert Einstein published his celebrated study of Brownian motion. Predated Einstein's work by five years, the thesis introducing the first mathematical model of Brownian motion was presented by Louis Bachelier who used it to develop the theory for stock options in finance. Modern mathematical finance flourished in 1970's when Fischer Black, Robert Merton and Myron Scholes developed a pioneering formula for option pricing. I encourage you to watch the documentary "The Midas Formula” (https://vimeo.com/244903345 ) in advance. It is a very good introduction to a little known history of mathematical finance, including the interviews with successful traders and academics who rely on intuition as well as mathematical models. Modern treatise of options, hedged positions, and portfolio strategy is all described in terms of stochastic differential equations. Thus, the part of this talk can be viewed as an introduction to stochastic processes. We give a demonstration for which you need to install R from https://cran.r-project.org/. A code file “BS.R” can be downloaded at https://vps63.heliohost.us/e-math/BS.R. Then start R, and open the code “BS.R” from the menu [File]->[Source R code...]. |
February 24 | Benjamin Vannozzi | Nonstandard Analysis and Differential Forms |
March 3 | Patrick Bartol | Probability Space and Measure |
March 10 | Sydney Clere | An Introduction to Wavelets and Multiresolution Analysis - In this talk we will cover some of the basics of wavelets, specifically the Haar wavelet. We will also look at a specific example of the wavelet decomposition of a piecewise defined function. This area of math has applications in digital signal processing. |
March 17 | No Seminar - Spring Break | |
March 24 | Angus Bryant | Cooperative Games and the Characteristic Function |
March 31 | David Rowin | TBA |
April 7 | Jeremy Carew | TBA |
April 14 | No School | No School |
April 21 | Isaac Gyasi | TBA |
FALL 2021 Graduate Seminars | ||
DATE | SPEAKER | TITLE/Abstract |
August 26 | Dr. Damian Kubiak | A (very) brief introduction to Blockchain Technology and Cryptocurrencies (Part 1) |
September 2 | No Seminar | |
September 9 | Dr. Michael Allen | An Introduction to Neural Networks, Part 1 |
September 16 | Dr. David Smith | 1:30-2:00 Part 1 - Reproducibel Research and R Markdown - Research is reproducible if independent researchers can take sufficient information and procedures and recreate the same findings and conclusions. This talk will outline on why researchers should produce such works and suggest tools to produce reproducible results. An example workflow will be highlighted along with the features in R Markdown that can be used to practice integrated documentation of research. |
September 23 | Dr. David Smith | 1:30-2:00 Part 2 - Reproducibel Research and R Markdown |
September 30 | Dr. Amy Chambers | Intro to Graph C*-Algebras and Desingularization - In this talk, I will introduce some basics of the study of Graph C*-algebras, giving introductory definitions and examples. We will then talk briefly about the process of Drinen-Tomforde desingularization and how it is used to extend known graph algebra results. |
October 14 | Dr. Michael Allen | An Introduction to Neural Networks, Part 2 |
October 21 | Dr. Damian Kubiak | A (very) brief introduction to Blockchain Technology and Cryptocurrencies (Part 2) |
October 28 | ||
November 4 | Dr. Motoya Machida | TBA |
November 11 | Dr. Padmini Veerapen | Twists of Certain Noncommutative Algebras Over a Field |
November 18 | ||