Tyrrell at Banff
Tyrrell McAllister

I am a guest researcher at the Max Planck Institute for Mathematics in Bonn, Germany.

Contact Information

E-mail: tmcal@mpim-bonn.mpg.de
Office Phone: +49/0 228 402 323
Mail: Max Planck Institute for Mathematics
Vivatsgasse 7
53111 Bonn
Germany

Research

I study the relationship between polyhedral geometry, representation theory, and algebraic geometry. Most recently, I have been working on using polyhedra to better understand the coordinate rings of weight varieties and the behavior of Clebsch–Gordan coefficients for complex Lie algebras. I am also interested in the implications of lattice point enumeration algorithms for computational representation theory and theoretical computer science. If you would like more information about my prior research and future plans, please see the following links.