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 

02/01 6:00pm 
BLOC 306 
Dr. Reza Ovissipour Texas A&M University 
Mathematics for the Agrifood Systems
Mathematics for Agrifood Systems is the strategic application of mathematical principles and techniques to address challenges and optimize diverse facets within agriculture and the food supply chain. This discipline plays a pivotal role in elevating efficiency, productivity, and sustainability throughout agrifood systems. Its application spans various critical domains, encompassing statistical analysis, precision agriculture, modeling, optimization, traceability, blockchain, crop and livestock management, food safety risks, big data management, genetics, and decision support systems. The integration of mathematics into different facets of agrifood systems facilitates precise statistical analysis, enabling evidencebased decisionmaking. This interdisciplinary approach to mathematics in agrifood systems will be thoroughly explored during the seminar with an emphasis on its significance in
food safety, big data management, precision agriculture, optimization, bioreactor scaling up, kinetics of changes, and the implementation of blockchain for traceability. The seminar will discuss how mathematical methodologies contribute to the advancement and sustainability of agrifood systems. 

02/15 6:00pm 
BLOC 306 
Dr. Peter Kuchment Texas A&M University 
Wonderful Wizardry of Tomography. Mathematics of seeing inside a nontransparent body. 

02/29 6:00pm 
BLOC 306 
Dr. Prabir Daripa Texas A&M University 
Introduction to modeling of population dynamics
We will introduce some models, continuous and discrete, for population dynamics. Then we will study these at a very elementary level and discuss pros and cons of these models. We will show why mathematical understanding of these models are important before their use for estimating future population. There will be several takeaways from this talk including the emergence of chaos lurking in very simple models. The hallmark of this is that when "present" determines the future but the approximate present does not approximately determine the future". This is in essence "Chaos" (In Wikipedia, you find this as one of the definitions of "Chaos" within "Chaos Theory") as opposed to classical stability theory in which when the present determines the future and the approximate present does determine the future but may be a drastically different one. The content of the talk will be kept very simple so that it is accessible to even first year undergraduate students. 

03/21 6:00pm 
BLOC 306 
Dr. Alexandru Hening Texas A&M University, Mathematics 
Can environmental fluctuations save species from extinction?
In order to have a realistic mathematical model for the dynamics of interacting species in an ecosystem it is important to include the effects of random environmental fluctuations. Many have thought that environmental fluctuations are detrimental to the coexistence of species. However, this is not always the case. I will present to you some interesting examples where environmental fluctuations lead to highly counterintuitive results. 

04/04 6:00pm 
BLOC 306 
Dr. Guy Battle Texas A&M University, Mathematics 
NanoElectric Crystal Ball Calculation as a Problem in Number Theory
Consider nanocrystals based on an arbitrary salt compound (with no regard for whether the technology for creating a chosen shape even exists). We pursue the problem of calculating the net electric charge due to a difference between the number of alkali ions and the number of halogen ions. If the crystal has an I^infinity shape of arbitrary size, then the net charge is essentially zero  i.e., zero plus or minus the fundamental unit of charge. In the case where the crystal has an I^1 shape, we derive an expression for the net charge that has the same order of magnitude as the area of the surface for an arbitrarily large size. In the case where the crystal has an I^2 shape, the problem of calculating the net charge for an arbitrary radius seems to be open. We discuss a couple of partial results. 

04/18 6:00pm 
BLOC 306 
Dr. William Rundell Texas A&M University, Mathematics 
Eigenvalues; matrices and into differential equations: Can you hear the density of a vibrating string or the shape of a drum?
In an undergraduate curriculum one sees eigenvalues in linear algebra and in the basic o.d.e. class one writes systems of equations, converts to a matrix question, and interprets the eigenvalues as pointers to the system's behaviour. We will go over this briefly enough to see the pattern of: "have problem, find eigenvalues, interpret behaviour." But it is a more interesting question to turn this around: "I have a differential equation or a system of such and its eigenvalues are known; what can you say about the system?" This is a partial explanation for the cryptic title. The purpose of the talk is to fill in some of the reasoning (and of course answer the questions in the title). 