Clark Barwick
Clark Barwick | |
---|---|
Born | January 9, 1980 |
Nationality | American |
Alma mater | University of North Carolina at Chapel Hill (BS) University of Pennsylvania (PhD) |
Known for | Theorem of the Heart Unicity of the Homotopy Theory of Higher Categories |
Awards | Fulbright Visiting Professorship (2015) Berwick Prize (2019) |
Scientific career | |
Fields | Mathematics |
Institutions | University of Edinburgh MIT |
Thesis | (∞,n)-Cat as a closed model category (2005) |
Doctoral advisor | Tony Pantev |
Website | www |
Clark Edward Barwick (born January 9, 1980) is an American mathematician and professor of pure mathematics at the University of Edinburgh. His research is centered around homotopy theory, algebraic K-theory, higher category theory, and related areas.
Early life and education
Barwick grew up in North Carolina, and in 2001 completed his BS in mathematics at the University of North Carolina at Chapel Hill.[1][2] Barwick was then a graduate student at the University of Pennsylvania, and received his PhD in mathematics in 2005 under the direction of Tony Pantev.
Career
Barwick held
Research and notable works
A theme in Barwick's work is the homotopy theory of higher categories. In his early career, he frequently collaborated with Dan Kan; much of their work was concerned with models for the homotopy theory of homotopy theories. In his joint work with Chris Schommer-Pries, Barwick and Schommer-Pries proved a unicity theorem for the homotopy theory of (∞,n)-categories.
Barwick has also made contributions to algebraic K-theory. In particular, Barwick defined higher-categorical generalizations of
In 2019 Barwick with his student Haine introduced the theory of pyknotic objects. Which was published coincidentally and is very closely related to that of
References
- ^ "Clark Barwick | School of Mathematics". www.maths.ed.ac.uk. Retrieved 2018-04-18.
- ^ a b Barwick, Clark. "Curriculum Vitæ of Clark Barwick" (PDF). Retrieved 2018-04-18.
- ^ "University of Glasgow – Schools – School of Mathematics & Statistics – About us – Information for current students and staff – Newsletter Archive – October 15 – Meet Fulbright Professor Clark Barwick". www.glasgowheart.org. Archived from the original on 2018-04-21. Retrieved 2018-04-18.
- ^ "US-UK Fulbright Commission". 188.65.115.112. Archived from the original on 2018-04-21. Retrieved 2018-04-18.
- ^ The University of Edinburgh Senatus Academicus, 27 May 2020. www.ed.ac.uk/files/atoms/files/20200527agendapapers.pdf. Retrieved 2021-03-03
- ^ "LMS Prize Winners 2019 – London Mathematical Society". 2019-06-28. Retrieved 2019-06-29.
- S2CID 119160499.
- ^ "Pyknotic sets". nLab.