Józef Henryk Przytycki (, ; born 14 October 1953 in

Warsaw Warsaw ( pl, Warszawa, ), officially the Capital City of Warsaw,, abbreviation: ''m.st. Warszawa'' is the capital and largest city of Poland. The metropolis stands on the River Vistula in east-central Poland, and its population is officia ...

Poland Poland, officially the Republic of Poland, is a country in Central Europe. It is divided into 16 administrative provinces called voivodeships, covering an area of . Poland has a population of over 38 million and is the fifth-most populous ...

), is a Polish

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...

specializing in the fields of

knot theory In the mathematical field of topology, knot theory is the study of knot (mathematics), mathematical knots. While inspired by knots which appear in daily life, such as those in shoelaces and rope, a mathematical knot differs in that the ends are ...

and

topology In mathematics, topology (from the Greek language, Greek words , and ) is concerned with the properties of a mathematical object, geometric object that are preserved under Continuous function, continuous Deformation theory, deformations, such ...

Academic background

Przytycki received a Master of Science degree in mathematics from

University of Warsaw The University of Warsaw ( pl, Uniwersytet Warszawski, la, Universitas Varsoviensis) is a public university in Warsaw, Poland. Established in 1816, it is the largest institution of higher learning in the country offering 37 different fields of ...

in 1977 and a

PhD PHD or PhD may refer to: * Doctor of Philosophy (PhD), an academic qualification Entertainment * '' PhD: Phantasy Degree'', a Korean comic series * ''Piled Higher and Deeper'', a web comic * Ph.D. (band), a 1980s British group ** Ph.D. (Ph.D. albu ...

in mathematics from

Columbia University Columbia University (also known as Columbia, and officially as Columbia University in the City of New York) is a private research university in New York City. Established in 1754 as King's College on the grounds of Trinity Church in Manhatt ...

(1981) advised by

Joan Birman Joan Sylvia Lyttle Birman (born May 30, 1927, in New York CityLarry Riddle., ''Biographies of Women Mathematicians'', at Agnes Scott College) is an American mathematician, specializing in low-dimensional topology. She has made contributions to th ...

. Przytycki then returned to Poland, where he became an assistant professor at the University of Warsaw. From 1986 to 1995 he held visiting positions at the

University of British Columbia The University of British Columbia (UBC) is a public university, public research university with campuses near Vancouver and in Kelowna, British Columbia. Established in 1908, it is British Columbia's oldest university. The university ranks a ...

, the

University of Toronto The University of Toronto (UToronto or U of T) is a public research university in Toronto, Ontario, Canada, located on the grounds that surround Queen's Park. It was founded by royal charter in 1827 as King's College, the first institution ...

Michigan State University Michigan State University (Michigan State, MSU) is a public university, public Land-grant university, land-grant research university in East Lansing, Michigan. It was founded in 1855 as the Agricultural College of the State of Michigan, the fi ...

, the

Institute for Advanced Study The Institute for Advanced Study (IAS), located in Princeton, New Jersey, in the United States, is an independent center for theoretical research and intellectual inquiry. It has served as the academic home of internationally preeminent scholar ...

Princeton, New Jersey Princeton is a municipality with a borough form of government in Mercer County, in the U.S. state of New Jersey. It was established on January 1, 2013, through the consolidation of the Borough of Princeton and Princeton Township, both of whi ...

, the

University of California, Riverside The University of California, Riverside (UCR or UC Riverside) is a public land-grant research university in Riverside, California. It is one of the ten campuses of the University of California system. The main campus sits on in a suburban distr ...

Odense University Odense University was a university in Odense, Denmark. It was established in 1966. In 1998, the university was merged with two other institutions to form the University of Southern Denmark. Its campus is now known as University of Southern Denmark ...

, and the

University of California, Berkeley The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California) is a public land-grant research university in Berkeley, California. Established in 1868 as the University of California, it is the state's first land-grant u ...

. In 1995 he joined the Mathematics Department at

George Washington University , mottoeng = "God is Our Trust" , established = , type = Private federally chartered research university , academic_affiliations = , endowment = $2.8 billion (2022) , preside ...

Washington, D.C. ) , image_skyline = , image_caption = Clockwise from top left: the Washington Monument and Lincoln Memorial on the National Mall, United States Capitol, Logan Circle, Jefferson Memorial, White House, Adams Morgan, ...

, where he became a professor in 1999. According to the

Mathematics Genealogy Project The Mathematics Genealogy Project (MGP) is a web-based database for the academic genealogy of mathematicians.. By 31 December 2021, it contained information on 274,575 mathematical scientists who contributed to research-level mathematics. For a ty ...

, he has supervised 16 PhD students (as of 2022).

Research

Przytycki co-authored more than 100 research papers, 25 conference proceedings and 2 books. In 1987, Przytycki and Pawel Traczyk published a paper that 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 published in 1991; see also his entry in the online Encyclopedia of Mathematics. Przytycki has co-organized the conference

Knots in Washington Knots in Washington is an international conference on knot theory and its ramifications held twice a year since 1995. The main organizers are Józef Przytycki, Alexander Shumakovitch, Yongwu Rong and Valentina Harizanov, all of whom are at George ...

each semester since 1995. 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).

Personal life

Józef Przytycki is married to computational biologist and mathematician Teresa Przytycka (born 1958). They have two sons.

References

External links

* * {{DEFAULTSORT:Przytycki, Jozef H. 1953 births Living people Polish emigrants to the United States 20th-century Polish mathematicians 21st-century Polish mathematicians 20th-century American mathematicians 21st-century American mathematicians Topologists University of Warsaw alumni Columbia University alumni George Washington University faculty Academic staff of the University of Warsaw Institute for Advanced Study visiting scholars University of British Columbia people