Kurusch Ebrahimi-Fard

Kurusch Ebrahimi-Fard is a Professor in the Department of Mathematical Sciences at the Norwegian University of Science and Technology (NTNU) in Trondheim, Norway. He is an active member of the Differential Equations and Numerical Analysis (DNA) group at IMF-NTNU, with extensive international collaborations across Europe and North America.

His research spans a remarkable breadth of mathematical disciplines, focusing on the surprising convergence of algebraic and combinatorial structures across seemingly disparate fields. His work bridges geometric integration methods, nonlinear control theory, rough paths theory, free probability theory, and perturbative quantum field theory. The common thread throughout his research is the central role of algebraic and combinatorial structures on graphs, partitions, and other combinatorial objects.

Dr. Ebrahimi-Fard's recent publications reveal strong trends in the application of Hopf algebraic structures to probability theory and stochastic analysis, with significant contributions to understanding signatures in rough path theory and their applications to image analysis. His work consistently demonstrates how abstract algebraic structures can provide powerful tools for concrete problems in numerical analysis and mathematical physics.

• Juan de la Cierva fellowship
• Ramón y Cajal fellowship
• Fellow of the Studienstiftung des Deutschen Volkes
• Fellow of the Evangelisches Studienwerk e.V.
• Fellow of the German Academic Exchange Service (DAAD)
• Fellow of the European Post-Doctoral Institute (EPDI)

Throughout his career, Dr. Ebrahimi-Fard has organized numerous international conferences and workshops, including the 18th Santaló Summer School on Algebraic and Combinatorial Methods in Stochastic Calculus. His editorial work includes special issues on theoretical and computational aspects of dynamical systems, non-commutative algebra, and algebraic structures in perturbative quantum field theory. He has also secured research funding through various grants including the BBVA Foundation Research Grants.

Dr. Ebrahimi-Fard maintains active collaborations with researchers worldwide and participates in several research networks focused on the intersection of algebra, combinatorics, and mathematical physics. His work with the DNA group at NTNU continues to explore fundamental mathematical structures with applications across scientific disciplines.