Faculty

Institution

Unit

Venue

Rinat Kedem

Professor Emeritus

University of Illinois Urbana-Champaign

Affiliations

College of Liberal Arts & Sciences

Department of Mathematics

Rinat Kedem is currently serving as a College Of Liberal Arts & Sciences Professor Emeritus at University of Illinois Urbana-Champaign.

Honors

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Experiences

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Education

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Rinat Kedem

University of Illinois Urbana-Champaign

Professor Emeritus

You can click a keyword to filter the displayed items

mathematics mathematical sciences applied mathematics representation theory algebra theoretical physics spectral theory quantum algebra mathematical physics algebraic combinatorics physics noncommutative geometry combinatorial theory quantum science lie algebra quantum groups quantum field theory operator algebras algebraic geometry geometric topology quantum mechanics cluster algebras conformal field theory modular forms lie theory fusion products high energy physics schubert calculus universal algebra non-commutative algebras discrete integrable system boundary value problems function spaces quantum chemistry group representation free boundary problems supermanifold algebraic graph theory fusion product computational physics spin dynamics spin phenomenon geometric quantization quantum systems many-body quantum physics applied algebra path model france correspondence generalized macdonald operators xxz chain elliptic quantum algebra computer science difference equations system science discrete algorithms cluster computing nuclear fusion boundary element methods computational complexity theory theoretical high-energy physics quasiconformal mappings analytic number theory critical phenomena symbolic dynamics exotic state topological quantum state mathematical models fermionic sum representations fermionic quasi-particle representations polynomiality property laurent phenomenon initial variables cluster positivity finite type polynomial property cartan matrix constructive field theory pure mathematics quantum theory lattice theory

Notable Scholarly Works

Notable Federal Grants

Collaborators

Cluster Structure on Genus 2 Spherical Daha: Seven-Colored Flower. (2024)

Semeon ArthamonovLeonid ChekhovPhilippe Di FrancescoRinat KedemAlexander ShapiroMichael ShapiroGus Schrader

combinatorial theorytopologyknot theoryenumerative geometryseven-colored flowergeometry and topologycluster realizationspherical dahaalgebraic geometrymathematical sciencesalgebraic combinatoricsapplied mathematicsmathematicspolyhedronalgebraic topologygeometric topologycluster algebras

Macdonald Duality and the Proof of the Quantum Q-System Conjecture. Selecta Mathematica (2024)

Philippe Di FrancescoRinat Kedem

quantum groupspure mathematicsmacdonald dualitytheoretical physicsquantum information sciencequantum algebramathematical sciencesapplied mathematicsmathematicsquantum science

Ruijsenaars Wavefunctions as Modular Group Matrix Coefficients. Letters in Mathematical Physics (2024)

Philippe Di FrancescoRinat KedemSergey KhoroshkinGus SchraderAlexander Shapiro

physicsmoduli spacespectral theoryquantum chemistrymatrix coefficientselectronic structurepunctured torusmathematical physicsmathematicsdirac operatorquantum mechanics

Duality and Macdonald Difference Operators. HAL (Le Centre pour la Communication Scientifique Directe) (2023)

Philippe Di FrancescoRinat Kedem

linear operatorsnoncommutative geometryfunctional analysisoperator algebrasuniversal algebraalgebraic analysismacdonald difference operatorsspectral theorymathematical sciencesapplied mathematicsmathematicsoperator theory

Macdonald Operators and Quantum Q-Systems for Classical Types. Progress in mathematics (2021)

Philippe Di FrancescoRinat Kedem

quantum groupsoperator algebrastheoretical physicsspectral theoryquantum algebramacdonald operatorsapplied mathematicsmathematicsquantum mechanicsquantum scienceoperator theory

($${{\Mathbf {T}}},{{\Mathbf {Q}}}$$)-Deformed Q-Systems, Daha and Quantum Toroidal Algebras via Generalized Macdonald Operators. Communications in Mathematical Physics (2019)

Philippe Di FrancescoRinat Kedem

operator algebrasnoncommutative geometryuniversal algebratheoretical physicsnon-commutative algebrasalgebraquantum algebraquantum toroidal algebrasmathematical sciencesapplied mathematicsmathematicsgeneralized macdonald operators

Difference Equations for Graded Characters From Quantum Cluster Algebra. Transformation Groups (2018)

P. DI FRANCESCOR. KEDEM

quantum groupstheoretical physicsalgebraquantum algebramathematical sciencesmathematicscluster algebrasquantum sciencerepresentation theory

A Path Model for Whittaker Vectors. Journal of Physics A Mathematical and Theoretical (2017)

Philippe Di FrancescoRinat KedemBolor Turmunkh

quantum field theoryoperator algebraspath modeltheoretical physicscritical limitweighted path modelsquantum algebralie algebramathematical sciencesapplied mathematicsmathematical physicsmathematics

(T,Q) Q-Systems, Daha and Quantum Toroidal Algebras via Generalized Macdonald Operators. arXiv (Cornell University) (2017)

Philippe Di FrancescoRinat Kedem

quantum groupsnoncommutative geometryoperator algebrasnatural generalizationspectral theoryalgebraquantum algebracombinatorial hopf algebramathematical sciencesquantum toroidal algebraapplied mathematicsmathematicsgeneralized macdonald operatorsalgebraic combinatoricsoperator theoryrepresentation theory

Quantum Q Systems: From Cluster Algebras to Quantum Current Algebras. Letters in Mathematical Physics (2016)

Philippe Di FrancescoRinat Kedem

quantum groupsphysicsquantum field theorytheoretical physicsalgebraquantum systemsquantum algebraquantum q systemsapplied mathematicsmathematicscluster algebrasquantum mechanicsquantum information sciencequantum science

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Rinat Kedem

Professor Emeritus

University of Illinois Urbana-Champaign

Affiliations

College of Liberal Arts & Sciences

Department of Mathematics

Rinat Kedem is currently serving as a College Of Liberal Arts & Sciences Professor Emeritus at University of Illinois Urbana-Champaign.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Rinat Kedem

University of Illinois Urbana-Champaign

Professor Emeritus

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Cluster Structure on Genus 2 Spherical Daha: Seven-Colored Flower. (2024)

Semeon ArthamonovLeonid ChekhovPhilippe Di FrancescoRinat KedemAlexander ShapiroMichael ShapiroGus Schrader

Macdonald Duality and the Proof of the Quantum Q-System Conjecture. Selecta Mathematica (2024)

Philippe Di FrancescoRinat Kedem

quantum groupspure mathematicsmacdonald dualitytheoretical physicsquantum information sciencequantum algebramathematical sciencesapplied mathematicsmathematicsquantum science

Ruijsenaars Wavefunctions as Modular Group Matrix Coefficients. Letters in Mathematical Physics (2024)

Philippe Di FrancescoRinat KedemSergey KhoroshkinGus SchraderAlexander Shapiro

physicsmoduli spacespectral theoryquantum chemistrymatrix coefficientselectronic structurepunctured torusmathematical physicsmathematicsdirac operatorquantum mechanics

Duality and Macdonald Difference Operators. HAL (Le Centre pour la Communication Scientifique Directe) (2023)

Philippe Di FrancescoRinat Kedem

Macdonald Operators and Quantum Q-Systems for Classical Types. Progress in mathematics (2021)

Philippe Di FrancescoRinat Kedem

quantum groupsoperator algebrastheoretical physicsspectral theoryquantum algebramacdonald operatorsapplied mathematicsmathematicsquantum mechanicsquantum scienceoperator theory

($${{\Mathbf {T}}},{{\Mathbf {Q}}}$$)-Deformed Q-Systems, Daha and Quantum Toroidal Algebras via Generalized Macdonald Operators. Communications in Mathematical Physics (2019)

Philippe Di FrancescoRinat Kedem

Difference Equations for Graded Characters From Quantum Cluster Algebra. Transformation Groups (2018)

P. DI FRANCESCOR. KEDEM

quantum groupstheoretical physicsalgebraquantum algebramathematical sciencesmathematicscluster algebrasquantum sciencerepresentation theory

A Path Model for Whittaker Vectors. Journal of Physics A Mathematical and Theoretical (2017)

Philippe Di FrancescoRinat KedemBolor Turmunkh

quantum field theoryoperator algebraspath modeltheoretical physicscritical limitweighted path modelsquantum algebralie algebramathematical sciencesapplied mathematicsmathematical physicsmathematics

(T,Q) Q-Systems, Daha and Quantum Toroidal Algebras via Generalized Macdonald Operators. arXiv (Cornell University) (2017)

Philippe Di FrancescoRinat Kedem

Quantum Q Systems: From Cluster Algebras to Quantum Current Algebras. Letters in Mathematical Physics (2016)

Philippe Di FrancescoRinat Kedem

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Similar Faculty Members

Arkady Berenstein

Institution

University of Oregon

algebra

schubert calculus

Alexander Yong

Institution

University of Illinois Urbana-Champaign

algebraic combinatorics

algebraic geometry

Aaron Lauda

Institution

University of Southern California

algebra

geometric quantization

Mr Marcelo Aguiar

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Cornell University

function space

hopf algebra

Yuri Berest

Institution

Cornell University

topology

low-dimensional topology

Philippe Di Francesco

Institution

University of Illinois Urbana-Champaign

applied mathematics

conformal field theory

Dan Mihai Barbasch

Institution

Cornell University

reductive lie groups

lie algebra

Weiqiang Wang

Institution

University of Virginia

mathematics

mathematical sciences

Sergei V Ivanov

Institution

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algebra

topology

Timur Oikhberg

Institution

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applied mathematics

banach lattices