Ross Hall, Room 202
1000 E. University Ave.
Laramie, WY 82071
Research interests: Polyhedral geometry, representation theory, and algebraic geometry
Ross Hall 317
Department of Mathematics
University of Wyoming
Ph.D., UC-Davis, 2006
Tyrrell B. McAllister, Assistant Professor of Mathematics, received his PhD from the University of California, Davis, in 2006. He joined the UW Mathematics Department in 2009, following post-doctoral positions at the Eindhoven University of Technology and at the Max Planck Institute for Mathematics.
Tyrrell studies convex and discrete geometry, with a focus on the theory of lattice-point enumeration in polyhedra and its applications to algebraic geometry, representation theory, and geometric invariant theory.
M. Beck, P. Jayawant, and T. B. McAllister, Lattice-point generating functions for free sums of convex sets, J. Combin, Theory Ser. A 120 (2013), no. 6, 1246–1262.
B. J. Howard and T. B. McAllister, Degree bounds for type-A weight rings and Gelfand-Tsetlin semigroups, J. Algebraic Combin. 34 (2011), no. 2, 237–249.
T. B. McAllister, Degrees of stretched Kostka coefficients, J. Algebraic Combin. 27 (2008), no. 3, 263–273.
J. A. De Loera and T. B. McAllister, On the computation of Clebsch-Gordan coefficients and the dilation effect Experiment, Math. 15 (2006), no. 1, 7–19.
J. A. De Loera and T. B. McAllister, Vertices of Gelfand-Tsetlin polytopes, Discrete Comput. Geom. 32 (2004), no. 4, 459–470.