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Personal profile

Research Interests

Representation theory, Mathematical physics, Algebraic combinatorics

Professional Information

1. Combinatorial representation theory of infinite-dimensional algebras: Kac-Moody algebras, quantum affine algebras, Virasoro and W-algebras and their deformations.

2. Mathematical physics: Exactly solvable systems in statistical mechanics, integrable quantum field theories.

Education

Ph.D., Institute for Theoretical Physics, State University of New York at Stony Brook, 1993
BA Physics, Macalester College, 1988

Honors & Awards

Simons Fellow 2019-2020
International Congress of Mathematicians Seoul 2014, Invited Speaker

Grants

Office Address

Department of Mathematics
377 Altgeld Hall, MC-382
1409 W. Green Street
Urbana, IL 61801

Office Phone

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Research Output

  • DIFFERENCE EQUATIONS FOR GRADED CHARACTERS FROM QUANTUM CLUSTER ALGEBRA

    Di Francesco, P. & Kedem, R., Jun 1 2018, In : Transformation Groups. 23, 2, p. 391-424 34 p.

    Research output: Contribution to journalArticle

  • A path model for Whittaker vectors

    Di Francesco, P., Kedem, R. & Turmunkh, B., 2017, In : Journal of Physics A: Mathematical and Theoretical. 50, 25, p. 255201, 35

    Research output: Contribution to journalArticle

    Quantum Q systems: from cluster algebras to quantum current algebras

    Di Francesco, P. & Kedem, R., Feb 1 2017, In : Letters in Mathematical Physics. 107, 2, p. 301-341 41 p.

    Research output: Contribution to journalArticle

  • T-systems and the pentagram map

    Kedem, R. & Vichitkunakorn, P., Jan 1 2015, In : Journal of Geometry and Physics. 87, p. 233-247 15 p.

    Research output: Contribution to journalArticle