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Texas A&M University
Mathematics

AMUSE

Spring 2018

 

Date:January 24, 2018
Time:6:00pm
Location:BLOC 220
Speaker:Dr. Michael Anshelevich, Texas A&M University, Department of Mathematics
Title:REU Information Session
Abstract:A panel of experts will be available to answer student questions about summer Research Experience for Undergraduates programs.

Date:January 31, 2018
Time:6:00pm
Location:BLOC 220
Speaker:Dr. Glenn Lahodny, Texas A&M University, Department of Mathematics
Title:It's Flu Season! (A Mathematical Model of Influenza)
Abstract:Each year, millions of people worldwide are infected with the influenza virus resulting in a significant public health and economic burden. Although the transmission and prevention of influenza involves many complicating factors, simple mathematical models can provide insight into the dynamics of epidemics and help public health officials make decisions about public health policy. In this talk, I will present a simple model for influenza transmission including vaccination and discuss some basic techniques for epidemiological modeling.

Date:February 7, 2018
Time:6:00pm
Location:BLOC 220
Speaker:Dr. Matt Papanikolas, Texas A&M University, Department of Mathematics
Title:Survey of elliptic curve cryptography
Abstract:Over the past thirty years it has been established that the theory of elliptic curves could be effectively applied to various cryptographic problems. In this talk I will introduce fundamental results about elliptic curves, with special attention on elliptic curves over finite fields. Then we will survey applications to elliptic curve cryptosystems and prime factorization.

Date:February 21, 2018
Time:6:00pm
Location:BLOC 220
Speaker:Dr. Krishna Narayanan, Department of Electrical & Computer Engineering, Texas A&
Title:a.(b+c)=a.b+a.c, So what?
Abstract:The distributive property of addition and multiplication of real numbers can be used to simplify computation in mathematics. In this talk, I will show that this simple idea can be generalized in interesting ways and repeated application of the distributive law can result in huge computational savings in some engineering problems.

Date:February 28, 2018
Time:6:00pm
Location:BLOC 220
Speaker:Dr. Andrew Bridy, Texas A&M University, Department of Mathematics
Title:Integer Factorization and Cryptography
Abstract:The security of modern cryptography largely depends on the fact that factoring integers is a computationally expensive problem (at least, until quantum computers become practical). We will discuss the difficulty of factoring, as well as some factoring algorithms that are significantly faster than the naive "trial division" method.

Date:March 7, 2018
Time:6:00pm
Location:BLOC 220
Speaker:Dr. Sinjini Sengupta, Texas A&M University, Department of Mathematics
Title:The Intertwining of Mathematics and Physics
Abstract:It is often said that Mathematics is the language of Physics. But what does that mean? Indeed, although Physics is ultimately an experimental science, it would be impossible to analyze, describe and understand the results of experiments without the precise and logical framework that Mathematics offers. And it would also not be possible to develop theories and make predictions for as yet unobserved events based on those analyses. We will discuss some simple examples often encountered in Math and Physics courses.

Date:March 21, 2018
Time:6:00pm
Location:BLOC 22
Speaker:Dr. Frank Sottile, Texas A&M University, Department of Mathematics
Title:Some Algebraic Geometry in Applications
Abstract:Algebraic geometry is the study of sets which arise as the common zeroes to a collection of polynomials. It is a deep and powerful subject, combining geometric intuition with algebraic precision. It is also increasingly a useful tool in applications of mathematics, for whenever polynomials arise, the methods of algebraic geometry may be brought to bear on the problem at hand. I will illustrate this growing trend through a series of interrelated examples of algebraic geometry arising in applications.

Date:March 28, 2018
Time:6:00pm
Location:BLOC 220
Speaker:Dr. Anne Shiu, Texas A&M University, Department of Mathematics
Title:Recovering parameters in mathematical models
Abstract:Ordinary differential equation (ODE) models are very common in applications. This talk addresses, for ODE models that are linear, the problem of when parameters can be recovered from data. I will highlight how techniques from differential algebra reduce the problem to one that can be solved using linear algebra and combinatorics. I will also highlight some examples coming from biology. No background will be assumed.