Rinat Kedem

Rinat Kedem (born 5 December 1965) is an American mathematician and mathematical physicist.

Kedem graduated in 1988 with B.A. in physics from Macalester College.[1] She received her Ph.D. in physics in 1993 from Stony Brook University (the State University of New York at Stony Brook) with thesis advisor Barry M. McCoy.[2] She was a postdoc from 1993 to 1995 at Kyoto University's Research Institute for Mathematical Sciences (RIMS), from 1995 to 1996 at the University of Melbourne, and from 1996 to 1997 at the University of California, Berkeley. At the University of Massachusetts Amherst, she was an assistant professor of mathematics from 1997 to 2001. In the mathematics department of the University of Illinois at Urbana-Champaign, she was from 2001 to 2006 an assistant professor and from 2006 to 2012 an associate professor and is since 2012 a full professor.[1]

Kedem's research deals with mathematical physics, Lie algebras, integrable models, and cluster algebras.[1] In 2014 she was an invited speaker with talk Fermionic spectra in integrable systems at the International Congress of Mathematicians in Seoul.[3] She was a plenary speaker in 2012 at the 24th International Conference on Formal Power Series and Algebraic Combinatorics in Nagoya and in 2019 at the 11th International Symposium on Quantum Theory and Symmetries (QTS2019) in Montreal.[1] For the academic year 2019–2020 she was awarded a Simons Fellowship.[4]

Selected publications
  • Kedem, R.; Klassen, T.R.; McCoy, B.M.; Melzer, E. (1993). "Fermionic quasi-particle representations for characters of (((1))1((1))1)/((1))2". Physics Letters B. 304 (3–4): 263–270. arXiv:hep-th/9211102. doi:10.1016/0370-2693(93)90292-P.
  • Kedem, R.; Klassen, T.R.; McCoy, B.M.; Melzer, E. (1993). "Fermionic sum representations for conformal field theory characters". Physics Letters B. 307 (1–2): 68–76. arXiv:hep-th/9301046. Bibcode:1993PhLB..307...68K. doi:10.1016/0370-2693(93)90194-M.
  • Jimbo, Michio; Kedem, Rinat; Kojima, Takeo; Konno, Hitoshi; Miwa, Tetsuji (1995). "XXZ chain with a boundary". Nuclear Physics B. 441 (3): 437–470. arXiv:hep-th/9411112. Bibcode:1995NuPhB.441..437J. doi:10.1016/0550-3213(95)00062-W.
  • Jimbo, Michio; Kedem, Rinat; Konno, Hitoshi; Miwa, Tetsuji; Weston, Robert (1995). "Difference equations in spin chains with a boundary". Nuclear Physics B. 448 (3): 429–456. arXiv:hep-th/9502060. Bibcode:1995NuPhB.448..429J. doi:10.1016/0550-3213(95)00218-H.
  • Kedem, Rinat (2008). "Q-systems as cluster algebras". Journal of Physics A: Mathematical and Theoretical. 41 (19): 194011. arXiv:0712.2695. Bibcode:2008JPhA...41s4011K. doi:10.1088/1751-8113/41/19/194011.
  • Di Francesco, Philippe; Kedem, Rinat (2009). "Q-systems as Cluster Algebras II: Cartan Matrix of Finite Type and the Polynomial Property". Letters in Mathematical Physics. 89 (3): 183–216. arXiv:0803.0362. Bibcode:2009LMaPh..89..183D. doi:10.1007/s11005-009-0354-z.
  • Di Francesco, Philippe; Kedem, Rinat (2010). "Q-Systems, Heaps, Paths and Cluster Positivity". Communications in Mathematical Physics. 293 (3): 727–802. arXiv:0811.3027. Bibcode:2010CMaPh.293..727F. doi:10.1007/s00220-009-0947-5.

References
  1. "Curriculum Vitae - Rinat Kedem". Department of Mathematics, University of Illinois.
  2. Rinat Kedem at the Mathematics Genealogy Project
  3. Kedem, Rinat (2014). "Fermionic spectra in integrable systems". arXiv:1405.5585 [math-ph].
  4. "2019 Simons Fellows in Mathematics and Theoretical Physics Announced". Simons Foundation. 15 March 2019.


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