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Prof Alan Sokal
Department of Mathematics
Gower Street
  • Professor of Statistical Mechanics & Combinatorics
  • Dept of Mathematics
  • Faculty of Maths & Physical Sciences
Research Groups
Research Summary

My current research centers on topics at the interface between combinatorics and analysis.  In particular, I am interested in novel and unexpected positivity properties that arise for some combinatorially defined polynomials and power series.  Some of these properties are closely connected with the Stieltjes moment problem and with continued fractions.

I am also interested in the real and complex zeros of combinatorially defined polynomials such as the Tutte polynomial (and its specializations such as the chromatic polynomial and the flow polynomial), and their relation to phase transitions in statistical mechanics. Some of this work leads to the investigation of "classical" problems in complex analysis.

Academic Background
1981   Doctor of Philosophy Princeton University
1976   Artium Baccalaureus Harvard University
1976   Master of Arts Harvard University
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