nLab Kurusch Ebrahimi-Fard

Kurusch Ebrahimi-Fard is a German mathematician, currently working in Norway. His main works are mainly concerned with combinatorial and algebraic structures appearing in renormalization in mathematical physics, in solving differential equations, in Lie theory and so on. Related entries include: dendriform algebra, Rota-Baxter algebra, Birkhoff decomposition.

Selected writings

On Rota-Baxter algebra:

• K. Ebrahimi-Fard, L. Guo, Rota-Baxter algebras and dendriform dialgebras, Jour. Pure Appl. Algebra 212 (2008), 320-339, arXiv:math/0503647

• Kurusch Ebrahimi-Fard, Li Guo?, Rota–Baxter algebras in renormalization of perturbative quantum field theory, In Universality and Renormalization, I. Binder and D. Kreimer, editors, Fields Institute Communicatins, v. 50, AMS 2007, 47-105, arXiv:hep-th/0604116.

• K. Ebrahimi-Fard, L. Guo, D. Manchon, Birkhoff type decompositions and the Baker–Campbell–Hausdorff recursion, Comm. Math. Physics 267 (2006) 821-845, arXiv:math-ph/0602004

On Dyson-Schwinger equations via chord diagrams:

• Paul-Hermann Balduf, Amelia Cantwell, Kurusch Ebrahimi-Fard, Lukas Nabergall, Nicholas Olson-Harris, Karen Yeats, Tubings, chord diagrams, and Dyson-Schwinger equations [arXiv:2302.02019]

category: people