Kurusch Ebrahimi-Fard

Scientific Council

Professor · Norwegian University of Science and Technology

About

Kurusch Ebrahimi-Fard is Professor of Mathematics at NTNU in Trondheim. His research connects algebraic combinatorics, stochastic calculus, and the mathematical foundations of numerical analysis. He is a leading expert on Hopf algebras in physics and their applications to renormalization, rough path theory, and numerical methods.

His work on combinatorial Hopf algebras has revealed deep connections between seemingly disparate areas—from quantum field theory to numerical analysis of differential equations.

Selected Publications

Planarly Branched Rough Paths and Rough Differential Equations on Homogeneous Spaces, with Charles Curry, Kurusch Ebrahimi-Fard, Dominique Manchon, Hans Z. Munthe-Kaas, Journal of Differential Equations (2020).
Post-Lie Algebras and Factorization Theorems, with Kurusch Ebrahimi-Fard, Igor Mencattini, Hans Z. Munthe-Kaas, Journal of Geometry and Physics (2017).