# Józef H. Przytycki

**Józef Henryk Przytycki** (/ˌjuːsəf pʃəˈtɪski/; Polish: [ˈjuzɛf pʂɨˈtɨt͡ski]; born October 1953 in Warsaw, Poland), is a mathematician specializing in the fields of knot theory and topology.

In 1987, he and Pawel Traczyk published a paper,[1] 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 a paper written in 1989 and published in 1991;[2] see also his entry in the online Encyclopedia of Mathematics.[3]

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 13 Ph.D. students (as of 2019).[4] He has authored and co-authored many mathematical publications, including more than 100 research papers, 25 conference proceedings and 2 books, having over 1,400 citations on MathSciNet.[5]

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.

## References

- Przytycki, Józef H.; Traczyk, Pawel (1987). "Invariants of links of Conway type".
*Kobe Journal of Mathematics*.**4**: 115−139. MR 0945888. - Przytycki, Józef H. (1991). "Skein modules of 3-manifolds".
*Bulletin of the Polish Academy of Sciences. Mathematics*.**39**(1–2): 91–100. arXiv:math/0602264. MR 1194712. - "Skein module". Encyclopedia of Mathematics.
- Józef H. Przytycki at the Mathematics Genealogy Project
- "Józef H. Przytycki". MathSciNet. Retrieved September 22, 2019.