Alan David Sokal (ˈsoʊkəl; born January 24, 1955) is an American professor of mathematics at University College London and professor emeritus of physics at New York University. He works in statistical mechanics and combinatorics. He is a critic of postmodernism, and caused the Sokal affair in 1996 when his deliberately nonsensical paper was published by Duke University Press's Social Text. He also co-authored a paper criticizing the critical positivity ratio concept in positive psychology.
Sokal received his BA from Harvard College in 1976 and his PhD from Princeton University in 1981. He was advised by Arthur Wightman. In the summers of 1986, 1987, and 1988, Sokal taught mathematics at the National Autonomous University of Nicaragua, when the Sandinistas were heading the elected government.
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.
In 2013, Sokal co-authored a paper with Nicholas Brown and Harris Friedman, rejecting the Losada Line, a concept popular in positive psychology. Named after its proposer, Marcial Losada, it refers to a critical range for an individual's ratio of positive to negative emotions, outside of which the individual will tend to have poorer life and occupational outcomes. This concept of a critical positivity ratio was highly cited and popularised by psychologists such as Barbara Fredrickson. The trio's paper, published in American Psychologist, contended that the ratio was based on faulty mathematical reasoning and therefore invalid.