Józef H. Przytycki
In 1987, he and Pawel Traczyk published "Invariants of links of Conway type" (Kobe J. Math. 4, 115−139, 1987), which included a description of what is now called the HOMFLY(PT) polynomial. Postal delays prevented Przytycki and Traczyk from receiving full recognition alongside the other six discoverers. Przytycki also introduced skein modules in "Skein modules of 3-manifolds" Bull. Polish Acad. Sci. 39 : 1–2 (1991) pp. 91–100 (written in 1989); see also his text on the arXiv and his entry in the online Encyclopedia of Mathematics.
A native of Poland, Przytycki received a Master of Science degree in mathematics from Warsaw University in 1977 and, after emigrating to the United States, a Ph.D. in mathematics from Columbia University, where his advisor was Joan Birman. He is currently a professor of mathematics at George Washington University in Washington, DC. According to the Mathematics Genealogy Project, he has supervised 10 Ph.D. students (as of 2017). He has authored and co-authored many mathematical publications, including more than 100 research papers, 25 conference proceedings and 2 books, having over 1300 citations ().
Every semester since 1995, Przytycki has co-organized the conference Knots in Washington. He also co-organized several international Knot Theory conferences in Europe, for example Knots in Poland (1995, 2003 and 2010), Knots in Hellas (1998 and 2016), and the Advanced School and Conference on Knot Theory and its Applications to Physics and Biology, Trieste, Italy (2009).
Józef Przytycki is married to computational biologist and mathematician Teresa Przytycka (born 1958). Their elder son Tomasz was born November 11, 1987; their younger son Pawel was born December 1, 1989.