Associate Professor Tyrrell McAllister

Tyrrell McAllister, Ph.D., University of California at Davis Associate Professor of Mathematics Ross Hall 317 tmcallis@uwyo.edu | +1-307-766-5359 Research interests: Descrete and Polyhedral geometry and Representation theory

Education

Ph.D. Mathematics, University of California, Davis, 2006
B.S. Mathematics, University of California, Davis, 2001

About Dr. McAllister

Tyrrell B. McAllister joined the University of Wyoming faculty in 2009. He came to the University of Wyoming after post-doctoral positions at the Eindhoven University of Technology and at the Max Planck Institute for Mathematics.

He 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.

Representative publications

1. M. Beck, P. Jayawant, and T. B. McAllister, Lattice-point generating functions for free sums of convex sets, J. Combin, Theory Ser. A, 120/6 (2013), pp. 1246-1262.
2. B. J. Howard and T. B. McAllister, Degree bounds for type-A weight rings pp. and Gelfand-Tsetlin semigroups, J. Algebraic Combin. 34/2 (2011), pp. 237-249.
3. T. B. McAllister, Degrees of stretched Kostka coefficients, J. Algebraic Combin. 27/3 (2008), pp. 263-273.
4. J. A. De Loera and T. B. McAllister, On the computation of Clebsch-Gordan coefficients and the dilation effect Experiment, Math. 15/1 (2006), pp. 7-19.
5. J. A. De Loera and T. B. McAllister, Vertices of Gelfand-Tsetlin polytopes, Discrete Comput. Geom., 32/4 (2004), pp. 459-470.