Dr. Thomas Bitoun

Associate Professor

thomas.bitoun@ucalgary.ca

Location

Office: MS374

Algebra and Algebraic Geometry, D-modules

D-modules and Arithmetic

Advancing Proof-Based Mathematics Education: AI-Enhanced Problem Solving in Group Theory

On a theory of the b-function in positive characteristic. Selecta Mathematica. (2018)
On D-modules related to the b-function and Hamiltonian flow. With T. Schedler. Compositio Mathematica. (2018)
Feynman integral relations from parametric annihilators. With C. Bogner, R.P. Klausen and E. Panzer. Letters in Mathematical Physics. (2019)
On the p-supports of a holonomic D-module. Inventiones mathematicae. (2019)
Length of local cohomology in positive characteristic and ordinarity. International Mathematics Research Notices. (2020)
Extending meromorphic connections to coadmissible Dcap-modules. With A. Bode. Journal für die reine und angewandte Mathematik (Crelles Journal). (2021)
On centralizer in Azumaya domains. With J. Desrochers. International Mathematics Research Notices. (2023)
On the D-module of an isolated singularity . Accepted for publication in Algebra & Number Theory. (2024)
Bernstein-Sato theory modulo p^m. With E. Quinlan-Gallego. Submitted for publication. (2024)
The number of master integrals as Euler characteristic. With C. Bogner, R.P. Klausen and E. Panzer. Loops and Legs in Quantum Field Theory (LL2018). (2018)