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Mathematics

Mathematics Graduate Seminar - Fall 2022

The seminar is scheduled from 2:00 pm - 2:45 pm on Tuesday afternoon in Bruner Hall 309. 
 
FALL 2022 Graduate Seminars
DATE   SPEAKER TITLE/Abstract
 August 30 Dr.  Amy Chambers Title: Intro to Graph C*-Algebras
Abstract: In this talk we will introduce some of the basic concepts and definitions in the study of Graph C*-Algebras. A few specific examples will be included.
September 6 Dr. David Smith Title: Modeling Blood Coagulation Times using a Hierarchical Bayes Model with Gibbs Sampling
Abstract: Markov Chain Monte Carlo (MCMC) methodology and the development of faster processors have allowed growth in statistical research areas that were not accessible 20 years ago. One area that has relied heavily on MCMC techniques is Bayesian data analysis.  In this presentation, we will implement MCMC using a Gibbs sampling algorithm for a Hierarchical Bayes approach to modeling blood coagulation times.
September 13 Dr. Menassie Ephrem 

Coastal Carolina University 
Title: Labeled Graph C*-Algebras
Abstract: Given a directed graph E and a labeling L, one forms the labeled graph C*-algebra by taking a set of subsets of vertices and considering a generating family of partial isometries and projections. 

In this talk, we will discuss the basics of graph C*-algebras and how to form C*-algebras from labeled graphs.  We will compute some such algebras.  Focusing on finite-dimensional algebras, we will formulate a process to compute these algebras.  We will present results that are obtained from experiments and eventually proven.

via Zoom (projected in Bruner 309)
Meeting ID: 892 1292 5455
Passcode: 928583
September 20 Dr. Damian Kubiak Title: On Some Sequence Spaces
Abstract: In this talk a generalization of l_p sequence spaces will be presented. 
September 27 Dr. Brian O'Connor Title: Continued Fractions, Approximation, and the Most Irrational Number
Abstract: Continued fractions are fractions built from fractions. They can be used to represent irrational as well as rational numbers, and, with a standard assumption, the representation is unique.  Various methods for constructing continued fractions will be discussed.  Also, the steps (or convergents) along the way of a continued fraction can be viewed as approximations of an irrational number.  Some irrational numbers are well approximated by this process, but one famous irrational number is particularly resistant to this method. 
October 4    
October 18    
October 25 Dr. Debendra Banjade Coastal Carolina University - via Zoom
November 1 Dr. K. D. Gayan Maduranga  TBA
November 8 Isaac Gysai Estimating the parameters of Time Series Model using various methods.
November 15 Dr. Padmini Veerapen Twists of Algebras and of Hopf Algebras 
SPRING 2022 Graduate Seminars
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 Dr. 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    
 

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