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Nineteenth Annual Texas Undergraduate Mathematics Conference

November 8-9, 2024
University of Texas at Tyler

Eighteen times in the past, undergraduate students have gathered in Huntsville, Tyler, San Antonio, Beaumont, Austin, Nacogdoches and "the cloud" to talk about math, play games, and network with students and faculty from around the state of Texas. This year, we will return to Tyler!

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Arriving and Parking


Friday evening's events and most of Saturday's events will be in W.T. Brookshire Hall, which is #13 on the map. Parking passes will be available at the registration table. Conference participants should park in lots P9, P10, or P14 on the map. Note that lot P10 is the closest to Brookshire Hall.

Plenary talks will take place in RBS, and lunch will be in the MET Cafeteria. Campus does have some small hills, so conference participants with mobility issues may want to consider driving between WTB and these other buildings. RBS is #17 on the map, and the closest parking lot is P8. The MET Cafeteria is in the University Center, #28 on the map, and the closest parking lot is P17.




Invited Speakers

Our invited speakers are Dr. Rebecca E. Garcia from Colorado College and Daniël du Preez from SpaceX.


Dr. Rebecca E. Garcia is a Professor of Mathematics in the Department of Mathematics and Computer Science at Colorado College (CC). Previous to this, she was Professor of Mathematics at Sam Houston State University for nineteen years. She continues to serve as Co-Director of the Mathematical Sciences Research Institute Undergraduate Program (MSRI-UP) and the Project Director and PI for the MAA's National REU Program. Garcia is native CHamoru, born and raised in Guam, and, so far as she knows, is the first CHamoru to earn a doctoral degree in theoretical mathematics. Her research interests are at the intersection of computational and commutative algebra and combinatorics, with contributions in computational algebraic combinatorics, theory of sandpile groups, dimension theory of partially ordered sets, and in generalized graph splines. Garcia is an active member of the American Mathematical Society, the Mathematical Association of America, the Association for Women in Mathematics, and the National Association of Mathematicians. She is the recipient of the 2015 Texas Section MAA Award for Distinguished College and University Teaching of Mathematics and the 2023 MAA Inclusivity Award for her work in creating and directing programs that aim to provide research opportunities for students who identify as belonging to groups that were historically marginalized and excluded from participating in mathematical research and educational opportunities.

Daniël du Preez is a Software Developer working on networking routing for Starlink at SpaceX. He earned his undergraduate degrees (BA in computer science, BS in mathematics) from the University of Texas at Tyler. Before SpaceX, he also worked on retail software for Amazon. Daniël's work focuses on writing software which solves linear programming problems to optimally route traffic through the Starlink network, enabling improved reliability, throughput and latency.


Schedule


Friday, November 8, 2024

Time Event Location
6:30 pm Registration opens WTB Atrium
6:30 - 8:30 pm Pizza party and games WTB 133, 137

Saturday, November 9, 2024

Time Event Location
before 8:00 am Breakfast at hotel
8:00 am Registration opens WTB Atrium
8:30 - 9:00 am Panel sessions WTB 133, 137, 235, 236
9:05 - 9:35 am Panel sessions WTB 133, 137, 235, 236
9:40 am Conference photo WTB Stairs
10:05 - 11:05 am Plenary talk
Rebecca Garcia
RBS 2024 for students
RBS 1031 for faculty
11:15 am - 12:15 pm Lunch MET Cafeteria
12:30 - 1:30 pm Plenary talk
Daniël du Preez
RBS 2024 for students
RBS 1031 for faculty
1:50 - 3:05 pm Contributed talks
abstracts
WTB 133, 136, 137, 235, 236
3:10 - 3:40 pm Grad school fair WTB Atrium and hallways
3:45 - 5:00 pm Contributed talks
abstracts
WTB 133, 136, 137, 235, 236

Schedule of Talks


  • RBS 2024 (students) RBS 1031 (faculty)
  • (10:05-11:05am)

    Dr. Rebecca Garcia, Colorado College

    An Introduction to Generalized Graph Splines

    Classically, a spline is a piece-wise polynomial function over a polyhedral complex where the polynomials agree up to some degree of smoothness at the intersection of faces. This notion has been generalized in a natural way, established in the work by Gilbert, Tymoczko and Viel. In this talk, we will look at some of the known results that lead into open and student-friendly questions in the area, as well a sneak peak into some ongoing collaborative research that has brought joy back into doing math.

  • (12:40-1:30pm)

    Mr. Daniël du Preez, SpaceX

    Linear Programming & Applications in Computer Networks

    Linear programming or linear optimization is a powerful and versatile problem-solving technique. This talk will begin with an introduction to LPs including definitions, examples, and strategies for solving them. Next, the talk will focus specifically on how LPs can be applied to improve packet routing in computer networks. Finally, we will close with a look at why these techniques are so applicable to the Starlink network.


Each panel session will run twice – once from 8:30-9:00am and then from 9:05-9:35am, so that participants can attend multiple panels.

  • WTB 133
  • Summer Research Opportunities
    • Rebecca Garcia, Colorado College
    • Kaitlin Hill, St. Mary's University
    • David Milan, UT Tyler
  • WTB 137
  • Careers in Industry
    • Robert Koslover, Scientific Applications & Research Associates
    • Daniël du Preez, SpaceX
    • Ben Burns, Rayburn Electric Cooperative
  • WTB 235
  • Graduate School: Doctoral Programs
    • Josef Sifuentes, UTRGV
    • Lea Beneish, UNT
    • Brian Church, SFA
    • Joselyne Aniceto, UTRGV
  • WTB 236
  • Graduate School: Masters Programs
    • Dessie Camp, Tyler Junior College
    • Ivan Ramirez Zuniga, UT Tyler
    • Pam Delgado, UT Tyler
    • Richard Kyei, Tarleton

abstracts for contributed talks (both sessions)

  • WTB 133
  • (1:50-2:05pm)
    Stian du Preez, Rice University
    Morita Equivalence of Combinatorial Inverse Semigroups with Zero

  • (2:10-2:25pm)
    Chloe Povey-Rowe, Baylor University
    Generalizing Chein's \(M(G,2)\) Loops via a Modified Cayley-Dickson Process
  • (2:30-2:45pm)
    Landon Chambers, St. Edwards University
    A \(p\)-subgroup in the Nottingham Group
  • (2:50-3:05pm)
    Maggie (Thi Mai Khoi) Ha, University of Houston Downtown
    Group Classification up to Isomorphism of Groups up to Order \(15\)

  • WTB136
  • (1:50-2:05pm)
    Jacob Gomez, Angel Moreno, and Alicia Scarlett, Sam Houston State University
    Dishware Optimization
  • (2:10-2:25pm)
    Yasmine Soto, Southwestern University
    Spinning Stories: A Mathematical Model of Rumor Dynamics
  • (2:30-2:45pm)
    Christopher Garza and Leo Schoch-Spana, Southwestern University
    Developing Models for Lung Cancer in the United States
  • (2:50-3:05pm)
    Isabella Robinson, Southwestern University
    Modeling Monarch Butterfly Populations

  • WTB137
  • (1:50-2:05pm)
    Kyle Earp, Tarleton State University
    Improve Single Point Estimates for ODE Models of Disease Spread
  • (2:10-2:25pm)
    Mason Bane, Tarleton State University
    Simulating Left Atrial Arrhythmias with an Interactive \(N\)-body Model
  • (2:30-2:45pm)
    Scott Whitman, University of Louisiana at Lafayette
    Using Numerical Optimization to Create Tiling Schemes for Attaining \(k\)-Coverage in Wireless Sensor Networks
  • (2:50-3:05pm)
    Jamie Mahowald, University of Texas at Austin
    Analysis of in-context operator networks

  • WTB235
  • (1:50-2:05pm)
    Cole Thomson, Southwestern University
    Analysis of Music retention and popularity on Billboard's 100
  • (2:10-2:25pm)
    Lucas Rodriguez, University of Dallas
    Algorithmic Randomness of the Dirichlet Problem of the Upper Half-Plane
  • (2:30-2:45pm)
    Aaron Puente, University of Texas Rio Grande Valley
    Analytical & Numerical Solutions to Fractional PDEs via a Wright-type Transformation
  • (2:50-3:05pm)
    Alessandra Martinez and Mat Taylor, University of Texas Rio Grande Valley and University of Texas at Tyler
    Integer Partitions and Their Tableaux

  • WTB236
  • (1:50-2:05pm)
    Thomas "Emiah" Carpenter, Midwestern State University
    Reflection of a Line across a Differentiable Function
  • (2:10-2:25pm)
    Melody Martinez, Sul Ross State University
    Designing Mathematics Activities for a Mobile Setting
  • (2:30-2:45pm)
    Ethan Massey, Dallas College - Richland Campus
    Exploring Eulerian and Hamiltonian Paths in Graph Theory: Applications in Optimization and Combinatorics
  • (2:50-3:05pm)
    Graeme Reinhart, Baylor University
    A Note on Smith Numbers and Fermat's Two Squares Theorem


abstracts for contributed talks (both sessions)

  • WTB 133
  • (3:45-4:00pm)
    Logan Greenland, Texas State University
    Connecting Categorical and Topological Limits
  • (4:05-4:20pm)
    Ronny Ferreira, Dallas College
    The Fibonacci Sequence in Linear Algebra
  • (4:25-4:40pm)
    Haily Martinez-Aguirre, University of Texas Rio Grande Valley
    Congruence properties of lecture hall partitions
  • (4:45-5:00pm)
    Mrinal Kanti Roychowdhury (Faculty), University of Texas Rio Grande Valley
    Constrained Quantization and Conditional Quantization

  • WTB 136
  • (3:45-4:00pm)
    Jadyn Rhodes-Cruse, Southwestern University
    Comparing Maternal Mortality
  • (4:05-4:20pm)
    Dhwani Chandi, St. Mary's University
    Climate Applications in Math
  • (4:25-4:40pm)
    Allegra Simmons, University of Dallas
    A Delayed and Stochastic Model for Prion Disease Dynamics and Spreading
  • (4:45-5:00pm)
    Humberto Buenrostro, St. Mary's University
    Paired Sample Designs in Drug Research: Effects on Statistical Outcomes and Visualization Challenges

  • WTB 137
  • (3:45-4:00pm)
    Nathan Collins, Sam Houston State University
    Numerical Integration Using Polynomial Regressions
  • (4:05-4:20pm)
    Ben-Oni Spradlin and Luis Villanueva, University of Texas Rio Grande Valley
    A Preliminary Mathematical Model of Differential Susceptibility to Amyloid-\(\beta\)
  • (4:25-4:40pm)
    Oluwatobiloba Lawuyi, Prairie View A&M University
    Survival Analysis in Cybersecurity: Predicting Time to Breach
  • (4:45-5:00pm)
    Md Rafiul Islam (Faculty), University of the Incarnate Word
    Fracture Risk in Diabetic Hispanic Men: A Study from South Texas

  • WTB 235
  • (3:45-4:00pm)
    Lohit Jagarapu, University of Texas at Austin
    Computational Topology in Computer Vision: A view and current problems
  • (4:05-4:20pm)
    Chloe Povey-Rowe, Baylor University
    Dissipative First Order Differential Operators with Non-Local Point Interactions Part I
  • (4:25-4:40pm)
    Danie Paraiso, Baylor University
    Dissipative First Order Differential Operators with Non-Local Point Interactions Part II
  • (4:45-5:00pm)
    Curtis Wesley (Faculty), LeTourneau University
    A Friendlier Way to Teach the Method of Undetermined Coefficients in Differential Equations

  • WTB 236
  • (3:45-4:00pm)
    Emily Payne, University of Texas Rio Grande Valley
    A Generalization of Franklin's Partition Identity and a Beck-Type Companion Identity
  • (4:05-4:20pm)
    Ren Watson, University of Texas at Austin
    Results Related to Parity in Fixed-Perimeter Partitions
  • (4:25-4:40pm)
    Duc Van Khanh Tran, University of Texas at Austin
    On Sums of Practical Numbers and Polygonal Numbers
  • (4:45-5:00pm)
    Miguel Gonzalez-Carriedo, University of North Texas
    Exploring Complex Base Number Expansions and Fractals


Registration and Hotels


Registration and Abstract Submission

Registration and abstract submission are now closed.

The student registration fee is $10. Information about how to pay is included in the registration form. Faculty registration is free.

Students may submit an abstract for a 15-minute contributed talk. Priority for contributed talk slots will be given to students presenting original research. Based on availability of contributed talk slots, abstracts for high quality expository talks may be accepted as well. All students interested in math are welcome to register for and attend TUMC, regardless of whether they are presenting. There are also a limited number of 15-minute contributed talk slots available for presentations by faculty.

Deadlines:

  • Wednesday, October 16 - deadline for students to register to be eligible for free hotel accommodations
  • Wednesday, October 16 - deadline for abstract submission
  • Friday, November 1 - final registration deadline

Undergraduate students who register by October 16th will have the option for the TUMC conference to make and pay for hotel accommodations for the night of the November 8th. Registration will remain open until Friday, November 1, but students who register after October 16 but before November 1 will be responsible for arranging their own lodging. Faculty will need to make their own hotel reservations (information on that below).

We will have a graduate school fair on Saturday. Faculty who wish to sign up for a table at the grad school fair may do so when filling out their conference registration form. There is no fee for having a table at the grad school fair.

On Friday evening, the events include a pizza party and math games from 6:30 PM until 8:30 PM. On Saturday, we will have two plenary talks, contributed students talks, the grad school fair, and panel presentations.

Hotel Information

The conference hotel will be the Homewood Suites by Hilton in Tyler, at 3104 Golden Road, Tyler, TX 75701. Students will be grouped by institutions and a hotel list will be sent out about a week after registration closes.