Mathematics Research
Research in Mathematics
UT Tyler Department of Mathematics
The mathematics faculty at UT Tyler are very active in research, particularly in the areas of analysis, applied mathematics, 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.