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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.


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


Office Address

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

Office Phone

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  • 2 Similar Profiles

Research Output


    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