Research in Mathematics
UT Tyler Department of Mathematics
The mathematics faculty at UT Tyler are very active in research, particularly in the areas of functional analysis/operator algebras, graph theory, and number theory/combinatorics. Faculty members in each group are listed below, along with specific research interests and either selected publications or a curriculum vitae for each. There is also significant overlap and collaboration across research groups.
Functional Analysis & Operator Algebras
David Milan
Research Interests: C*-algebras, groupoids, and inverse semigroups.
Selected Publications:
- On a class of inverse semigroups related to Leavitt path algebras (with John Meakin and Zhengpan Wang), Advances in Mathematics, 384 (2021).
- Condition (K) for inverse semigroups and Ideal structure of their C*-algebras (with Scott LaLonde and Jamie Scott), Journal of Algebra, 523 (2019), 119–153.
- On inverse semigroup C*-algebras and crossed products (with Benjamin Steinberg), Groups, Geometry, and Dynamics, 8 (2014), no. 2, 485–512.
Graph Theory
Christina Graves
Research Interests: Reliability polynomials.
Stephen Graves
Research Interests: Infinite graph theory, extremal graph theory, chemical graph theory.
Number Theory
Katie Anders
Research Interests: Combinatorics and number theory, specifically digital representations and graph splines.
Madeline Dawsey
Research Interests: Combinatorics and number theory, specifically partitions and modular forms.
Joseph Vandehey
Research Interests: Number theory, ergodic theory, symbolic dynamics, continued fractions, normal numbers.