Associate Professor Tyrrell McAllister

Department of Mathematics and Statistics

Associate Professor of Mathematics

Contact Information

(307) 766-5359tmcallis@uwyo.edu

Ross Hall 317

Photo of Tyrrell McAllister

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.

His primary interest is polyhedral combinatorics, especially lattice-point enumeration in rational polytopes. Polyhedral combinatorics has a wide range of applications across many fields of mathematics. The applications on which he works most are algebraic geometry, representation theory, algebraic combinatorics, and graph theory.

Representative publications

  1. Margaret M. Bayer, Steffen Borgwardt, Teressa Chambers, Spencer Daugherty, Aleyah Dawkins, Danai Deligeorgaki, Hsin-Chieh Liao, Tyrrell McAllister, Angela Morrison, Garrett Nelson, and Andrés R. Vindas-Meléndez, Combinatorics of Generalized Parking-Function Polytopes, Discrete Comput. Geom. (2025), to appear.
  2. Margaret Bayer, Amanda Burcroff, Tyrrell B. McAllister, and Leilani Pai, Quasiperiods of magic labeling quasipolynomials, Australas. J. Combin. 92 (2025), no. 3, 382–398.
  3. Igor Araujo, Bryce Frederickson, Robert A. Krueger, Bernard Lidický, Tyrrell B. McAllister, Florian Pfender, Sam Spiro, and Eric Nathan Stucky, Triangle percolation on the grid, Discrete Comput. Geom. 73 (2025), no. 2, 569–593.
  4. Tyrrell B. McAllister, Rational polytopes with Ehrhart coefficients of arbitrary period, J. Comput. Appl. Math. 390 (2021), Paper No. 113155, 7.
  5. Margaret Bayer, Bennet Goeckner, Su Ji Hong, Tyrrell McAllister, McCabe Olsen, Casey Pinckney, Julianne Vega, and Martha Yip, Lattice polytopes from Schur and symmetric Grothendieck polynomials, Electron. J. Combin. 28 (2021), no. 2, Paper No. 2.45, 36.
  6. Tyrrell B. McAllister and Hélène O. Rochais, Periods of Ehrhart coefficients of rational polytopes, Electron. J. Combin. 25 (2018), no. 1, Paper No. 1.64, 10.
  7. Tyrrell B. McAllister and Matthew Moriarity, Ehrhart quasi-period collapse in rational polygons, J. Combin. Theory Ser. A 150 (2017), 377–385.
  8. Farhad Jafari and Tyrrell B. McAllister, Ellipsoidal cones in normed vector spaces, J. Convex Anal. 24 (2017), no. 3, 795–805.