Research Interests
Sokal’s research lies in mathematical physics and combinatorics. In particular, he studies the interplay between these fields based on questions arising in statistical mechanics and quantum field theory. This includes work on the chromatic polynomial and the Tutte polynomial, which appear both in algebraic graph theory and in the study of phase transitions in statistical mechanics. His interests include computational physics and algorithms, such as Markov chain Monte Carlo algorithms for problems in statistical physics. He also co-authored a book on quantum triviality.
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