Research

There are four research thrusts in the department:

 

  • Algebra and Combinatorics

UW’s Algebra, Combinatorics and Number Theory (ACNT) group works in a dynamic field that provides powerful tools for understanding complex arrangements, from mathematical structures to tangible real-world systems. The ACNT’s research interests include the interplay between algebra, finite geometry, and combinatorics; the use of computers and the software package Magma to search for combinatorial objects with desired properties; polyhedral combinatorics, especially lattice-point enumeration in rational polytopes, with applications to algebraic geometry, representation theory, algebraic combinatorics, and graph theory; projective geometry, codes and designs, non-associative structures, algebraic combinatorics, and information theory; linear algebra, matrix theory and combinatorics, especially inverse eigenvalue problems for graphs, and properties of tournaments. Each member is recognized as a high-quality teacher. UW is a founding and active member of the Graduate Research Workshop in Combinatorics; an annual two-week collaborative research workshop for advanced graduate students and postdocs from all areas of combinatorics.


Faculty:

 

Alums of the ACNT group include:

Bryan Curtis, Air Force Research Lab

Jonathan Earl, Aviva Canada, Inc 

Curtis Nelson, BYU-Idaho

Mary Allison, Gillette College

Sudipta Mallik, Marshall University 

Keivan Hassani Monfared, Quora

Michael Sollami, Salesforce 

Michael Huntington, Colorado Academy

Reshmi Nair, John Hopkins School of Public Health

Colin Garnett, Black Hills State University

Brent Deschamp, South Dakota School of Mines

Dan May, Blackhills State University

Cara Wiblemo, CSG International

In Jae Kim, Mankato State University 

Justin Christian, Amazon Web Services

Saib Suwilo, University Sumatera Utata

Jeff Poet, Missouri Western University 

Lisa Lister, Bloomsburg University

Michael Adams, Macalaster College

Liz Doering, Lincoln Financial Services 

Patrick Fleming, South Dakota School of Mines

Athula Gunwardena, University of Wisconsin-Whitewater.

 

  • Analysis

Research Group Overview coming soon

 

  • Computational and Applied Mathematics

The applied mathematics group develops advanced mathematical and computational methods to address challenges across the physical, biological, and engineering sciences. Wyoming-focused projects include modeling applications in biology (e.g., wildlife and the environment), health sciences (e.g., cancer diagnosis and disease transmission), and materials extraction (e.g., oil recovery and system monitoring). Methodological strengths span analytical and numerical techniques for linear algebra, differential equations, dynamical systems, stochastic processes, topology, and data-driven modeling. By advancing the frontiers of mathematics and scientific computing, the group leverages data-enabled science and engineering to solve a wide range of real-world problems.

Faculty:

 

  • Statistics

The Statistics group is a small collection of faculty with diverse backgrounds and interests. Statistical areas of specialty include Bayesian methodology, biostatistics, experimental design, longitudinal studies, mixed models, multivariate analysis, sampling, spatial analysis, survey methods, and time series. The department has rich backgrounds and expertise in statistical applications and in statistical consulting. Specific application areas involve biology, engineering, ecology, medicine, psychology, sociology, and sports.

Faculty: