Y21- 22

YouTube Playlist of Year 2021 - 2022

Apr 13

Speaker: Jesus Omar Sistos Barron and Sungkon Chang
Title: Reflection on the 2021 William Lowell Putnam Mathematical Competition
Abstract: The William Lowell Putnam Mathematical Competition is annually held across the U.S. and Canada in December each year. Since 1970 the Armstrong Campus has participated in this nation-wide annual mathematical event, and in the fall semester each year, the department of mathematics offers students a seminar course on the competition problems. In this talk we introduce the seminar course, and discuss some of the problems of the past year's competition. All those who are interested are invited to join this presentation.

Mar 23

Speaker: Andrew Sills
Title: Adding and Counting Leads to Deep Mathematics!
Abstract: Our earliest mathematical experiences were undoubtedly learning to count, and then somewhat later learning to add positive integers. Studying these ideas systematically leads to some surprisingly deep and beautiful mathematics.

A partition of an integer n is a representation of n as an unordered sum of positive integers, while a composition of n is a representation of n as an ordered sum of positive integers. We shall look at compositions and partitions and note the relative ease and difficulty, respectively, of counting them. Time permitting, we will have a look at a brand new result obtained by the speaker and his co-author Robert Schneider (University of Georgia) that gives a formula for the number of partitions of n that differs drastically from classical approaches to this problem.

Feb 16

Speaker: Hua Wang

Title: counting proofs and proofs that count: Colonel Blotto's game and beyond

Abstract: Starting from Colonel Blotto's game, a topic in Game Theory, we consider simple mathematical questions one may ask in various related scenarios. We try to present simple but interesting Combinatorial proofs, leading to topics in Enumerative Combinatorics. We also attempt to connect some of these seemingly complicated computations, through the game, to probability, optimization, and Calculus. This talk contains joint work with Georgia Southern students Alex Collins (MS), Charles Dedrickson (MS), Toby Sanders (undergraduate).

Nov 17

Speaker: Dawit Denu

Title: Comparative analysis of different vector-host epidemic models with direct transmission.

Lecture Room: University Hall 158, Armstrong Campus

Abstract: In this talk, we will propose and analyze four vector-host epidemic models by considering different assumptions on how the infection is transmitted from one group to another. We first examine some common features and similarities of the four models such as the existence and stabilities of the equilibrium solutions in relation to the basic reproduction number, and the existence and uniqueness of a positive global solution. Moreover, we investigate the main differences of these models and study some specific properties of their solutions. Numerical simulations will be included to illustrate some of the theoretical results.

Oct 13

Speakers: Duc Huynh

Title: Diffie-Hellman with elliptic curves

Abstract: We will start with the basics of elliptic curves, and we will see how elliptic curves can be used for encryption, specifically in the Diffie-Hellman key exchange. A standard elliptic curve Diffie-Hellman key exchange uses points on the elliptic curves, which can be compromised with the advent of quantum computers. Instead of points, we will see how functions (isogenies) between elliptic curves can be used for encryption in the protocol called supersingular isogeny Diffie-Hellman key exchange (SIDH), an exchange that is less likely to be vulnerable against quantum computers.

Sep 15

Speakers: Jim Brawner and the Eagle Problem Solvers

Title: From Good Factorials to Squirals - Reflections on Our Favorite Problems From Last Year

Abstract: The Eagle Problem Solvers is a group of Georgia Southern students and faculty who meet every other week to discuss and solve math problems posed in various mathematical journals. In this talk, students and faculty will share some favorite problems that we solved over the last year. So far in 2021, we have had 10 solutions published and another 13 solutions acknowledged in publications such as the American Mathematical Monthly, College Math Journal, Crux Mathematicorum, Math Horizons, and the School of Science and Mathematics Association Journal. Come join us to see what the fun is all about!