The department provides a wide variety of resources to promote collaboration, interaction and research within our community.
Information geometry is a field that explores the differential geometric structures of statistical models, with applications in probability, geometry, statistics, machine learning, quantum mechanics, quantum computing, and optimal transport theory. This talk assumes no prior knowledge of differential geometry and begins by explaining fundamental concept of intrinsic geometry through the concept of Gaussian curvature of surfaces. Based on this, I will introduce how the space of one-dimensional normal distributions exhibits hyperbolic geometry under the Fisher information metric. Furthermore, I will provide an introductory perspective on key concepts frequently used in statistics, machine learning, and quantum computing, including sufficient statistics, the Cramér-Rao inequality, and the Expectation-Maximization (EM) algorithm, from the viewpoint of information geometry.
To understand this talk, the required mathematical background includes single-variable calculus (e.g., verifying that the integral of the gaussian function e^{-x^2}), partial differentiation of functions of two variables, and basic linear algebra concepts such as computing 2×2 matrices and recalling that the magnitude and angle of vectors are defined based on the inner product.
This talk aims to inform TXST students and researchers about potential follow-up discussions, research collaborations, and learning opportunities with the speaker in these directions. Click here for more informationYuan Lu, Texas State University
Genetic interactions are adaptive within a species. Hybridization can disrupt such species-specific genetic interactions and creates novel interactions that alter the hybrid progeny overall fitness. Hybrid incompatibility, which refers to degenerative genetic interactions that decrease the overall hybrid survival and sterility, is one of the results from combining two diverged genomes in hybrids. The discovery of spontaneous lethal tumorigenesis and underlying genetic interactions in select hybrids between diverged Xiphophorus species showed that lethal pathological process can result from degenerative genetic interactions. Such genetic interactions leading to lethal phenotype are thought to shield gene flow between diverged species. However, hybrids between certain Xiphophorus species do not develop such tumors. Here we report the identification of a locus residing in the genome of one Xiphophorus species that represses an oncogene from a different species. Our finding provides insights into normal and pathological pigment cell development, regulation and a molecular mechanism in hybrid incompatibility.
The math department hosts a colloquium series in which distinguished researchers present their recent work to a general mathematical audience. All faculty, graduate students and undergraduate students are welcome.
View a short video about our Colloquium series
Organizer: Paul Dawkins
This seminar meets about once a week. The format is very informal, the idea is that we collectively select a topic for the semester and present material surround that theme. Original research is not typically presented and we encourage participation from all levels. Graduate students with an interest in algebra/combinatorics are especially encouraged to attend.
For more information or to be included in communication regarding this seminar please contact Anton Dochtermann.
The Differential Equations and Applied Math Seminar is a seminar for those interested in differential equations, mathematical modeling, mathematical physics, scientific computation, and any other interdisciplinary mathematical work of an applied nature. The speaker's topics are not restricted to their own work, as this seminar is a platform for presenting details of mathematics of interest. Interested faculty, graduate students, and advanced undergraduates are encouraged to attend.
Organizers: Ray Treinen & Nestor Guillen
All faculty, graduate students, and upper level undergraduate students are welcome. The seminar will provide a platform for faculty and students to present their research developments in discrete mathematics and related areas, foster research interactions among faculty and students, and create research opportunities and collaborations for faculty and students. Speakers from Discrete Mathematics, Combinatorics, Computer Science, and other related areas are all welcome. We are particularly interested in interdisciplinary research which applies mathematics as a tool to solve problems in other areas such as CS, BioInformatics, Bio‐sciences, Engineering, Physics, Chemistry, etc.
Organizer: Jian Shen
This is a NSF funded project to increase logic research at Texas State. Part of this project includes a scheduled series of speakers for 2022 and 2023, with a symposium to be included in 2024.
Times and locations of these talks will vary.
Organizer: Will Boney
In this seminar we learn about the mathematical foundation of this technology and their rapidly expanding use in our world.
All interested faculty, staff, and undergraduate and graduate students are welcome.
Organizer: Christine R.S. Lee
Faculty and students learn about and discuss issues related to the teaching and learning of mathematics and new findings in mathematics education research. Graduate students in the Mathematics Education programs are expected to attend whenever possible; students from other programs are always welcome.
Organizers: Cody Patterson & Hamilton Hardison
This seminar is dedicated to sharing and discussing recent discoveries in numerical methods for real-life applications, such as medical imaging, weather forecasting, and epidemiology.
Organizers: Iván Ojeda-Ruiz, Young Ju Lee & Xiaoxi Shen
Love a good problem? Like to solve difficult puzzles?
Join professors, graduate students and undergraduates as we tackle problems presented from several mathematical journals. An interest in higher level mathematics is all that is required to join our round table. Offer what you know, learn what you don't in a relaxed environment with some of our department's finest!
View a short video about Problem Solvers
Organizers: Tim Chase & Cameron Farnsworth
Interested in Statistics and Data Science?
Join us as we discuss new developments in statistics as well as innovative lessons and advances in statistics education research.
Graduate and undergraduate students are encouraged to attend!
View a short video about our Statistics seminar.
Organizer: Vera Ioudina
This is a seminar for students by students. Talk Math 2 Me provides students, both graduate and undergraduate, an opportunity to present anything related to mathematics to an audience of their peers. Undergraduate and Graduate math students or any students interested in mathematics are highly encouraged to attend. The talks are each 15‐60 minutes long and possible speaking topics include Undergraduate and Graduate mathematics research, math history, and STEM research with a heavy footing in mathematics.
View a short video about Talk Math 2 Me
Organizer: Ellen Couvillion
A seminar in topology: geometric, algebraic, general, abstract, combinatorial, and applied. This is a faculty research seminar focused on topology and its applications. Graduate and undergraduate students interested in topology and its applications are welcome to attend.
Organizer: Christine R.S. Lee
Organizer: Daniella Ferrero
In April, the math department runs a series of annual presentations aimed at illuminating interdisciplinary connections between mathematics and other areas. We host guest speakers, partner with other departments within the university and invite panelists whose work relates to the presented themes. All presentations are geared toward the general audience. Everyone is invited.
Organizer: Joanna Gutt-Lehr
