Curriculum Vitae - Rinat Kedem
RESEARCH AREAS:
Mathematical physics; Infinite dimensional Lie algebras and their
deformations, their representations
and related combinatorics; Integrable models, statistical
mechanics and conformal field theories; Cluster algebras and algebraic
combinatorics.
PROFESSIONAL APPOINTMENTS:
EDUCATION:
Honors and awards:
Simons Fellow in Mathematics, 2019-2020.
Plenary speaker, Quantum Theory and Symmetries XI, Montreal 2019.
Institut Henri Poincare CNRS professor, Spring 2017.
Lois Lackner Named Scholar 2014-2016, University of Illinois.
Invited speaker, International Congress of Mathematicians, Seoul
2014.
Plenary speaker, Formal Power Series and Algebraic Combinatorics,
Nagoya 2012.
National Science Foundation grant awards principal investigator: 1998,
2005, 2008, 2011, 2014, 2018.
Patricia Harris NSF graduate fellowship 1988--1992.
Publications:
(not updated)
- P. Di Francesco, R. Kedem, B. Turmunkh, “Path models for
Whittaker vectors” 2014.
- R. Kedem, Fermionic spectra in integrable models. Proceedings of
the International Congress of Mathematicians 2014.
- R. Kedem and P. Vichitkunakorn, T-systems and the
pentagram map. Journal of Geometry and Physics
(2015), pp. 233-247.
- P. Di Francesco and R. Kedem,
Quantum cluster
algebras and fusion products. International Mathematics Research Notices 2013; doi:
10.1093/imrn/rnt004. Journal
link, ArXiv link.
- P. Di Francesco and R. Kedem, T-systems with boundaries from
network solutions. Electronic Journal of Combinatorics 20(1) P3.
(2013). Journal, ArXiv.
- P. Di Francesco and R. Kedem, The solution of the quantum A1
T-system for arbitrary boundary conditions. Commun. Math. Phys. 313
(2012) 329–350. JournalArXiv.
- P. Di Francesco and R. Kedem, Non-commutative integrability, paths and quasi-determinants. (2010) Adv.
Math. 228 (2011) 97–152. Journal, ArXiv
- R. Kedem, A pentagon of identities, fusion products and the Kirillov-Reshetikhin conjecture. In New
Trends in Quantum Integrable Systems, B. Feigin, M. Jimbo, M. Okado Eds., World Scientific (2011)
173–193.
- P. Di Francesco and R. Kedem, Discrete non-commutative
integrability: Proof of a conjecture by M. Kontsevich, International
Mathematics Research Notices (2010), no. 21,
40424063. doi:10.1093/imrn/rnq024.
- P. Di Francesco and R. Kedem, Positivity of the T-system cluster algebra. Elec. J. Combinatorics (2009)
16(1).
- P. Di Francesco and R. Kedem, Q-system Cluster Algebras, Paths and Total Positivity. SIGMA 6 (2010),
014.
- P. Di Francesco and R. Kedem, Q-systems, Heaps, Paths and Cluster Positivity. Comm. Math. Phys. 293
(2010) 727–802. DOI 10.1007/s00220-009-0947-5 (2009).
- Ph. Di Francesco and R. Kedem, Q-systems as cluster algebras II: Cartan matrix of finite type and the
polynomial property. Lett. Math. Phys. (2009) 89:183–216.
- R. Kedem, Q-systems as cluster algebras. J. Phys. A:
Math. Theor. 41 (2008) 194011.
- P. Di Francesco, R. Kedem, Proof of the combinatorial Kirillov-Reshetikhin conjecture. Int. Math. Res.
Notices 2008 (2008): rnn006-57.
- E. Ardonne, R. Kedem, Fusion products of Kirillov-Reshetikhin
modules and fermionic multiplicity formulas.
math.RT/0602177
(to appear in J. Algebra).
- E. Ardonne, R. Kedem, M. Stone, Fusion products, Kostka
polynomials, and fermionic characters of su(r+1)k.
math-ph/0506071.
(J. Phys. A: Math. Gen. 38(2005) 9183--9205).
- E. Ardonne, R. Kedem, M. Stone, Fermionic characters and
arbitrary highest-weight integrable affine slr+1
modules (Comm. Math. Phys. 264 (2006) 427--464).
math.RT/0504364 [abs, ps, pdf, other].
- E. Ardonne, R. Kedem, M. Stone, Filling the Bose sea:
symmetric quantum Hall edge states and affine characters. J. Phys. A:
Math. Gen. 38:617--636,2005.
cond-mat/0409369
[abs, ps, pdf, other]
- R. Kedem, Fusion products of sl_N symmetric power
representations and Kostka polynomials (1/2004, Proceedings of QTS3,
World Scientific),
in PDF format.
- R. Kedem, Fusion products, cohomology of GL(N) flag manifolds,
and Kostka polynomials. IMRN 2004:25 (2004) 1273-1298. PDF file
available here.
- B. Feigin, M. Jimbo, R. Kedem, S. Loktev, T. Miwa, Spaces of
coinvariants and fusion product II. Affine sl_2 character formulas in
terms of Kostka polynomials.
Journal of Algebra,
Volume 279, Issue 1 ,
1 September 2004,
Pages 147-179.
math.QA/0208156 [abstract,source, ps]
- B. Feigin, M. Jimbo, R. Kedem, S. Loktev, T. Miwa, Spaces of
coinvariants and fusion product I. From equivalence theorem to Kostka
polynomials. Duke
Math. J. 125 (2004), no. 3, 549--588.
math.QA/0205324 [abstract,source, ps]
- B. Feigin, R. Kedem, S. Loktev, T. Miwa, E. Mukhin,
Combinatorics of the $\widehat{sl}_2$ spaces of coinvariants: Dual
functional realization and recursion. Compositio Mathematica
134:193--241, 2002.
math.QA/0012190 [abstract,source, ps]
- B. Feigin, R. Kedem, S. Loktev, T. Miwa, E. Mukhin,
Combinatorics of the $\widehat{sl}_2$ spaces of coinvariants: Loop
Heisenberg modules and recursion. Selecta Math. 8:
419--474, 2002.
math.QA/0009198 [abstract,source, ps]
- B. Feigin, R. Kedem, S. Loktev, T. Miwa, E. Mukhin,
Combinatorics of the $\widehat{sl}_2$ spaces of
coinvariants. Transform. Groups 6 (2001), no. 1, 25--52.
math-ph/9908003 [abstract,source, ps]
- R. Kedem, Singular R-matrices and Drinfeld's
comultiplication, Lett. Math. Phys. 41 (1997) 149--160.
q-alg/9611001 [abstract,source, ps]
- M. Jimbo, R. Kedem, H. Konno, T. Miwa and J. Petersen,
Level-0 structure of level-1 $U_q(\widehat{sl}_2)$ modules and
Macdonald Polynomials. Phys. Lett. A 28 5589--5606
(1995).
q-alg/9506016 [abstract,source, ps]
- M. Jimbo, R. Kedem, H. Konno, T. Miwa and J. Petersen, New
level-0 action of $U_q(\widehat{sl}_2)$ on level-1 modules. Proceedings
of the 1994 statistical mechanics and quantum field theory workshop,
Univ.
Southern California. World Scientific, Singapore (1995).
q-alg/9505009 [abstract,source, ps]
- M. Jimbo, R. Kedem, H. Konno, T. Miwa, and R.A. Weston,
Difference equations in spin chains with a boundary. Nucl. Phys. B.
B448 429--456 (1995).
hep-th/9502060 [abstract,source, ps]
- M. Jimbo, R. Kedem, T. Kojima, H. Konno and T. Miwa, XXZ
chain with a boundary. Nucl. Phys. B441 437--470 (1995).
hep-th/9411112 [abstract,source, ps]
- R. Kedem and B. M. McCoy, Quasi-particles in the chiral
Potts model. Intl. J. Mod. Phys. B8 3601--3621 (1994).
hep-th/9405089 [abstract,source, ps]
- O. Foda, K. Iohara, M. Jimbo, R. Kedem, T. Miwa and H.
Yan,
Notes on highest weight modules of the elliptic algebra ${\cal
A}_{q,p}(\widehat{sl}_2)$, Prog. Theor. Phys. Suppl. 118
1--34 (1995).
hep-th/9405058 [abstract,source, ps]
- O. Foda, K. Iohara, M. Jimbo, R. Kedem, T. Miwa and H.
Yan,
An elliptic quantum algebra for $\widehat{sl}_2$. Lett. Math. Phys.
32 259--268 (1994).
hep-th/9403094 [abstract,source, ps]
- S. Dasmahapatra, R. Kedem, B. M. McCoy and E. Melzer,
Virasoro characters from Bethe equations for the critical ferromagnetic
three-state Potts model. J. Stat. Phys. 74 239 (1994).
hep-th/9304150 [abstract,source, ps]
- R. Kedem, B. M. McCoy and E. Melzer, The sums of Rogers,
Schur and Ramanujan and the Bose-Fermi correspendence in
1+1-dimensional quantum field theory, in Proceedings of the 1994
statistical mechanics and quantum field theory workshop, Univ. Southern
California. World Scientific, Singapore (1995).
hep-th/9304056 [abstract,source, ps]
- S. Dasmahapatra, R. Kedem, T. R. Klassen, B. M. McCoy and
E. Melzer, Quasi-particles, conformal field theory and $q$-Series. Int.
J. Mod. Phys. B 7 3617 (1993).
hep-th/9303013 [abstract,source, ps]
- R. Kedem, T. R. Klassen, B. M. McCoy and E. Melzer,
Fermionic sum representations for conformal field theory characters. Phys.
Lett. B307 68 (1993).
hep-th/9304150 [abstract,source, ps]
- R. Kedem, T. R. Klassen, B. M. McCoy and E. Melzer,
Fermionic quasi-particle representations for characters of
${(G^{(1)})_1\times (G^{(1)})_1 \over (G^{(1)})_2}$. Phys. Lett. B.
304 263 (1993).
hep-th/9301046 [abstract,source, ps]
- R. Kedem and B. M. McCoy, Construction of modular
branching
functions from Bethe's equations in the 3-State potts chain. J.
Stat.
Phys. 71 875 (1993).
hep-th/9210129 [abstract,source, ps]
- R. Kedem, Thermodynamics of the 3-state Potts spin chain, J.
Stat. Phys. 71 903 (1993).
hep-th/9210146 [abstract,source, ps]
- S. Dasmahapatra, R. Kedem and B. M. McCoy, Spectrum and
completeness of the 3-State superintegrable chiral Potts model, Nucl.
Phys. B396 506 (1993).
hep-th/9204003 [abstract,source, ps]
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