Charles Rezk Explained
Charles Waldo Rezk (born 26 January 1969) is an American mathematician, specializing in algebraic topology and category theory.[1]
Education and career
Rezk matriculated at the University of Pennsylvania in 1987 and graduated there in 1991 with B.A. and M.A. in mathematics.[2] In 1996 he received his PhD from MIT with thesis Spaces of Algebra Structures and Cohomology of Operads and advisor Michael J. Hopkins.[3] At Northwestern University Rezk was a faculty member from 1996 to 2001. At the University of Illinois he was an assistant professor from 2001 to 2006 and an associate professor from 2006 to 2014, and has been a full professor since 2014.[2]
He was at the Institute for Advanced Study in the fall of 1999, the spring of 2000, and the spring of 2001.[4] He held visiting positions at MIT in 2006 and at Berkeley's MSRI in 2014. Since 2015 he has been a member of the editorial board of Compositio Mathematica.[2]
Rezk was an invited speaker at the International Congress of Mathematicians in Seoul in 2014.[5] He was elected a Fellow of the American Mathematical Society in the class of 2015 (announced in late 2014).[2]
Selected publications
- Rezk, Charles. Notes on the Hopkins-Miller theorem. Contemporary Mathematics. 220. 1998. 313–366. 10.1090/conm/220/03107. 9780821808054.
- 10.1353/ajm.1999.0043. Brown-Comenetz duality and the Adams spectral sequence. American Journal of Mathematics. 121. 6. 1153–1177. 1999. Mahowald. Mark. Mark Mahowald. Rezk. Charles. 168002.
- 10.1090/S0002-9947-00-02653-2. 2001. Rezk. Charles. A model for the homotopy theory of homotopy theory. Transactions of the American Mathematical Society. 353. 3. 973–1008. free.
- 10.1353/ajm.2001.0019. Simplicial structures on model categories and functors. American Journal of Mathematics. 123. 3. 551–575. 2001. Rezk. Charles. Schwede. Stefan. Shipley. Brooke. 2001math......1162R. math/0101162. 14472961.
- 10.4007/annals.2005.162.777. A resolution of the K(2)-local sphere at the prime 3. Annals of Mathematics. 162. 2. 777–822. 2005. Goerss. Paul.
de:Paul Goerss
. Henn. Hans-Werner. Mahowald. Mark. Rezk. Charles. free. 0706.2175.
- 20159929. A Resolution of the K(2)-Local Sphere at the Prime 3. Annals of Mathematics. 162. 2. 777–822. Goerss. P.. Henn. H-.W.. Mahowald. M.. Rezk. C.. 2005. 10.4007/annals.2005.162.777. free. 0706.2175.
- Rezk. Charles. The units of a ring spectrum and a logarithmic cohomology operation. Journal of the American Mathematical Society. 19. 4. 2006. 969–1015. 0894-0347. 10.1090/S0894-0347-06-00521-2. free.
- 10.2140/gt.2010.14.521. A cartesian presentation of weak n–categories. Geometry & Topology. 14. 521–571. 2010. Rezk. Charles. free. 0901.3602.
- 10.1112/jtopol/jtt035. An ∞-categorical approach to R-line bundles, R-module Thom spectra, and twisted R-homology. Journal of Topology. 7. 3. 869–893. 2014. Ando. Matthew. Rezk. Charles. Blumberg. Andrew J.. Gepner. David. Hopkins. Michael J.. 1403.4325. 119141389.
References
- Web site: Charles Rezk's homepage. Department of Mathematics, University of Illinois at Urbana-Champaign.
- Web site: Charles W. Rezk, Curriculum Vitae. Department of Mathematics, University of Illinois at Urbana-Champaign.
- Web site: Rezk, C. W.. May 1996. Spaces of algebra structures and cohomology of operads (Doctoral dissertation, Massachusetts Institute of Technology). dspace.mit.edu.
- Web site: Charles Rezk. Institute for Advanced Study. 9 December 2019 .
- Book: Rezk, Charles. Isogenies, power operations, and homotopy theory. Proceedings of the ICM, Seoul. 2. 2014. 1125–1146. https://rezk.web.illinois.edu/rezk-icm-talk-posted.pdf. slides
External links