Rinat Kedem
American mathematician
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Mathematics
Rinat Kedem's Degrees
- PhD Mathematics Princeton University
- Masters Mathematics Stanford University
Why Is Rinat Kedem Influential?
(Suggest an Edit or Addition)According to Wikipedia, Rinat Kedem is an American mathematician and mathematical physicist. Kedem graduated in 1988 with BA in physics from Macalester College. She received her PhD in physics in 1993 from Stony Brook University with thesis advisor Barry M. McCoy. She was a postdoc from 1993 to 1995 at Kyoto University's Research Institute for Mathematical Sciences , 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.
Rinat Kedem's Published Works
Published Works
- Fermionic sum representations for conformal field theory characters (1993) (162)
- XXZ chain with a boundary (1994) (134)
- Fermionic quasi-particle representations for characters of (G (1) ) 1 × (G (1) ) 1 /(G (1) ) 2 (1992) (122)
- Difference equations in spin chains with a boundary (1995) (105)
- Q-systems as Cluster Algebras II: Cartan Matrix of Finite Type and the Polynomial Property (2008) (77)
- Q-systems as cluster algebras (2007) (76)
- An elliptic quantum algebra for $$\widehat{s1}_2 $$ 2 (1994) (75)
- Q-Systems, Heaps, Paths and Cluster Positivity (2008) (64)
- Proof of the combinatorial Kirillov-Reshetikhin conjecture (2007) (57)
- Construction of modular branching functions from Bethe's equations in the 3-state Potts chain (1992) (52)
- Quasi-Particles, Conformal Field Theory, and q-Series (1993) (48)
- The Sums of Rogers, Schur and Ramanujan and the Bose-Fermi correspondence in (1+1)-dimensional quantum field theory (1993) (46)
- Fusion products of Kirillov-Reshetikhin modules and fermionic multiplicity formulas (2006) (37)
- Non-commutative integrability, paths and quasi-determinants (2010) (37)
- COMBINATORICS OF THE ŝl 2 SPACES OF COINVARIANTS (1999) (36)
- Notes on highest weight modules of the elliptic algebra ${\cal A}_{q,p}\left(\widehat{sl}_2\right)$ (1994) (35)
- Fermionic Characters and Arbitrary Highest-Weight Integrable ŝl r + 1-Modules (2006) (35)
- Virasoro characters from bethe equations for the critical ferromagnetic three-state potts model (1993) (34)
- Filling the Bose sea: symmetric quantum Hall edge states and affine characters (2004) (31)
- Discrete non-commutative integrability: Proof of a conjecture by M. Kontsevich (2009) (31)
- Fermionic Characters and Arbitrary Highest-Weight Integrable -Modules (2005) (30)
- Spaces of coinvariants and fusion product I. From equivalence theorem to Kostka polynomials (2002) (30)
- Positivity of the T-System Cluster Algebra (2009) (29)
- Fusion products, cohomology of GLN flag manifolds, and Kostka polynomials (2003) (29)
- Spectrum and completeness of the three-state superintegrable chiral Potts model (1993) (29)
- Notes on Highest Weight Modules of the Elliptic Algebra vlq,p( sh) (1995) (24)
- Spaces of coinvariants and fusion product II. sl2 character formulas in terms of Kostka polynomials (2004) (22)
- A pentagon of identities, graded tensor products and the Kirillov-Reshetikhin conjecture (2010) (21)
- T-systems with Boundaries from Network Solutions (2012) (21)
- Combinatorics of the $$\widehat{\mathfrak{s}\mathfrak{l}}_2 $$ spaces of coinvariants (2001) (18)
- LEVEL-0 STRUCTURE OF LEVEL-1 UQ (SL2)-MODULES AND MACDONALD POLYNOMIALS (1995) (18)
- Q-system Cluster Algebras, Paths and Total Positivity ? (2009) (17)
- Quantum cluster algebras and fusion products (2011) (16)
- DIFFERENCE EQUATIONS FOR GRADED CHARACTERS FROM QUANTUM CLUSTER ALGEBRA (2015) (15)
- T-systems and the pentagram map (2014) (14)
- The Solution of the Quantum A1T-System for Arbitrary Boundary (2011) (11)
- Quantum Q systems: from cluster algebras to quantum current algebras (2016) (11)
- (t,q) Q-systems, DAHA and quantum toroidal algebras via generalized Macdonald operators (2017) (10)
- Physics beyond quasi-particles: Spectrum and completeness of the 3 state superintegrable chiral Potts model (1992) (10)
- ($${{\mathbf {t}}},{{\mathbf {q}}}$$t,q)-Deformed Q-Systems, DAHA and Quantum Toroidal Algebras via Generalized Macdonald Operators (2017) (10)
- Quasi-Particles in the Chiral Potts Model (1994) (9)
- A path model for Whittaker vectors (2014) (8)
- Combinatorics of the b sl 2 Coinvariants : Dual Functional Realization and Recursion (2002) (7)
- Combinatorics of the $$\widehat{\mathfrak{s}\mathfrak{l}}_2 $$ Coinvariants: Dual Functional Realization and Recursion (2002) (5)
- Spaces of coinvariants and fusion product II. Affine sl_2 character formulas in terms of Kostka polynomials (2002) (5)
- Fusion products, Kostka polynomials and fermionic characters of su(r +1 ) k (2005) (3)
- Thermodynamics of the 3-state Potts Spin chain (1992) (3)
- Combinatorics of the $ \widehat{\mathfrak{sl}}_2 $ spaces of coinvariants: loop Heisenberg modules and recursion (2002) (2)
- Combinatorics of the $\hat{sl_2}$ spaces of coinvariants II (1999) (2)
- X X Z chain with a boundary (2003) (2)
- Macdonald Duality and the proof of the Quantum Q-system conjecture (2021) (1)
- Singular $$ \mathcal{R}$$ -Matrices and Drinfeld's Comultiplication (1997) (1)
- Notes on Highest Weight Modules of the Elliptic Algebra [numerical formula] (1995) (1)
- Macdonald Operators and Quantum Q-Systems for Classical Types (2019) (1)
- FUSION PRODUCTS OF ${\mathfrak s} {\mathfrak l} _N$ SYMMETRIC POWER REPRESENTATIONS AND KOSTKA POLYNOMIALS (2004) (1)
- Singular -Matrices and Drinfeld's Comultiplication (1996) (1)
- Filling the Bose sea: clustered states and excitations (2005) (0)
- 2 1 A ug 2 00 2 SPACES OF COINVARIANTS AND FUSION PRODUCT II . ŝl 2 CHARACTER FORMULAS IN TERMS OF KOSTKA (2002) (0)
- Duality and Macdonald difference operators (2023) (0)
- New Level-0 Action of $U_q(\widehat{sl}_2)$ on Level-1 Modules (1995) (0)
- O ct 2 00 2 SPACES OF COINVARIANTS AND FUSION PRODUCT II . ŝl 2 CHARACTER FORMULAS IN TERMS OF KOSTKA (2002) (0)
- Vertex Operator Algebra in the XXZ Chain with a Boundary (場の理論の共通課題) (1995) (0)
- The Solution of the Quantum A1T-System for Arbitrary Boundary (2012) (0)
- Fermionic spectra in integrable models (2014) (0)
- Quantum Q systems: from cluster algebras to quantum current algebras (2016) (0)
- We 3.1 the Separation Gap (1995) (0)
- 55 85 v 1 [ m at hph ] 2 2 M ay 2 01 4 Fermionic spectra in integrable models (2014) (0)
- Fermionic spectra in integrable systems (2014) (0)
- New level-$0$ action of $U_q(germ sgerm l_2)$ on level-$1$ modules (1995) (0)
- Ju l 2 01 4 A PATH MODEL FOR WHITTAKER VECTORS (2014) (0)
- DIFFERENCE EQUATIONS FOR GRADED CHARACTERS FROM QUANTUM CLUSTER ALGEBRA (2018) (0)
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