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Józef Henryk Przytycki born 1953 in Warsaw, Poland, is a mathematician specializing in the fields of knot theory and topology.

In 1987, he and Pawel Traczyk published "Invariants of links of Conway type" (Kobe J. Math., 4, 1987, 115-139.), 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.

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. He has had several students who obtained doctorate degrees under his supervision. He has authored and co-authored many mathematical publications, including more than 80 research papers and 2 books.

Every semester since 1995, Józef Przytycki organizes the conference Knots in Washington.

Józef Przytycki is married to computational biologist and mathematician Teresa Przytycka. His elder son Tomasz was born November 11, 1987, his younger son Pawel was born December 1, 1989.

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