Abdelmalek Abdesselam

Associate Professor

P. O. Box 400137
Dept. of Mathematics
227 Kerchof Hall

Research Areas
Mathematical Physics
Publications/Research

A complete renormalization group trajectory between two fixed points, Comm. Math. Phys. 276(3) (2007), 727-772. preprint version arXiv:math-ph/0610018

Brill-Gordan loci, transvectants and an analogue of the Foulkes conjecture, Adv. Math. 208(2) (2007), 491-520 (with J. Chipalkatti). preprint version arXiv:math.AG/0411110

Research Interests

My research interests include the following list of topics: Constructive quantum field theory; rigorous renormalization group methods; mathematical statistical mechanics; combinatorics related to Feynman diagrams and cluster expansions; classical invariant theory, and applications of the classical symbolic method to problems in algebraic geometry and representation theory.

Education

  • Master of Science (MS), Ecole Polytechnique
  • Master of Science (MS), University of Paris-Sud 11
  • Doctor of Philosophy (PhD), Ecole Polytechnique