AMUSE
Welcome to the home page of the
Applied Mathematics Undergraduate SEminar (AMUSE)
"When am I ever going to use this?"
The purpose of this seminar is to introduce undergraduates to
applications of mathematics: finance, engineering, biology, physics.
It is attended by undergraduates at all levels, as well as
occasional graduate students and faculty.
Talks by faculty, graduate students, and professionals are
generally in the ballpark of 4555 minutes long, which leaves plenty
of time for questions. The first 1520 minutes of a talk should be
accessible to freshmen students in their first year of calculus. If
the entire talk can be made accessible to freshmen, that is much
appreciated. We can also split the hour so that two people can
speak.
AMUSE is also happy to host undergraduate student talks that are
accessible to this audience. These talks are often the highlight of
the semester, and we hope they encourage more undergraduates to get
involved with research! Generally we schedule several students to
speak in one evening, so each one only needs to speak for 1015
minutes.
If you would like to speak, or have suggestions for a speaker that
would give an engaging talk to an undergraduate audience, please
email Peter Jantsch, pjantsch "at" math.tamu.edu.
If you would like to involve undergraduates in your research
program, we'd love to have you introduce them to your topic via this
seminar.

Date Time 
Location  Speaker 
Title – click for abstract 

09/11 6:00pm 
Blocker 2F 

Math Undergraduate Research Expo
A number of math students will present posters describing their research and results,
and will be on hand to talk about their experience. As usual, pizza and drinks will be available. Abstract 

10/07 6:00pm 
BLOC 220 
Wei Trinh Department of Electrical Engineering, Texas A&M University 
How Math Can Tell You Why Your Lights Won’t Turn On
Power is fundamental to the operation of our society. So, what happens when a blackout occurs? This talk begins with the idea of power systems, and how mathematics is used to analyze and understand power. We then dive into the specifics of modal analysis; a technique used to analyze and understand the behavior of certain aspects of our power system after events like natural disasters, and what we can do with the information.
About the Speaker: Wei Trinh received B.S. in Physics and a B.S. in Mathematics from the University of Maryland, Baltimore County in 2016. He is currently a Ph.D. student in Electrical Engineering at Texas A&M University, investigating the applications of modal analysis techniques for system characterization and analysis under Dr. Overbye. 

10/14 6:00pm 
BLOC 220 
Adrian Thompson Dept of Physics, Texas A&M University 
Copulas and their Applications to Bayesian Analysis in Physics
Many datadriven fields such as finance, meteorology, engineering and physics often encounter data with a high number of dimensions. Modeling multivariate data, even with low dimensionality, can be challenging. The copula is a statistical object that separately combines the correlations and the onedimensional projections of a dataset into one entity. This property provides an effective way of modeling multivariate data that scales well with dimensionality. Another topic, Bayesian analysis, is used frequently in physics to estimate the likelihood of a particular measurement given data. I will discuss the copula and its applications to Bayesian analysis in neutrino physics, an explosively growing field over the past decade, which comes with a large number of physical parameters. 

10/21 6:00pm 
BLOC 220 
Matthias Maier Dept of Mathematics, Texas A&M University 
Potential flow: Why does an airplane fly?
Flight has fascinated mankind for millennia. It was not until the beginning of the 20th century that "lift" could be used for the first heavierthanair flight. Even though airplanes are nowadays a central tool of transportation, the notion of flight remains a fascinating topic with a number of questions still unresolved today. In this talk we will examine a classical theory of flight based on "potential flows". These are flows that can be described (in 2D) as a complexvalued function defined on the complex number plane. Based on this representation we will derive two fundamental theorems for potential flow, Blasius' Thorem and the KuttaJoukowsky Theorem, that describe the "lift'" of a body in potential flow. 

11/11 6:00pm 
BLOC 220 
Gregory Berkolaiko Dept of Mathematics, Texas A&M University 
Diabolical points and where to find them
Wave propagation through periodic medium (such as a crystal or a
layered material) is described by dispersion relation, which in most
practical computations is a plot of eigenvalues of a matrix which
depends on several parameters. Gaps in the dispersion relation
correspond to wave frequencies that do not propagate through the
material.
Diabolical points refer to a special feature in the dispersion
relation, a location where two eigenvalues collide. Those are special
because a small perturbation of the medium (for example, by a external
magnetic field) can create a new gap and thereby turn a conductor into
an insulator. We describe the idea behind a numerical algorithm we
designed to locate diabolical points for a parametric family of real
symmetric matrices.
Based on an undergraduate research project of Advait Parulekar. 

11/18 6:00pm 
BLOC 220 
Irina Holmes Dept of Mathematics, Texas A&M University 
The Limitations of the Riemann Integral
As an analyst, I found myself paralyzed by the task of speaking about my research in any meaningful way without the knowledge of the Lebesgue integral and measure theory. So, I decided instead to motivate the need for yet another integral: we already have the Riemann integral, why do we need another one? The talk is meant to be accessible to undergraduate students, and the purpose is to reveal the limitations of the Riemann integral, and the ways that the Lebesgue integral comes to the rescue. 

11/25 5:30pm 
BLOC 220 
Directed Reading Program Texas A&M University 
Final Presentations from Math Directed Reading Program
5:305:40PM Food
5:405:55PM Yun Lu
6:006:15PM William Frendreiss
6:206:35PM Braden Yosko 

12/02 5:00pm 
BLOC 220 
Directed Reading Program Texas A&M University 
Final Presentations from Math Directed Reading Program
5:005:15PM Food
5:205:35PM Olumayowa Olowemeye
5:405:55PM Isaac Ray
6:006:15PM Cristian Meraz
6:206:35PM Patrick Maedgen
6:406:55PM Claudio Romero 