Contact Information
223 Illini Hall, MC-382
1409 W. Green Street
Urbana, IL 61801
Research Areas
Research Interests
Mathematical Physics, Enumerative and Algebraic Combinatorics, Integrable models of Statistical Physics, Cluster Algebra, Matrix models, Quantum (Conformal) Field Theory.
Research Description
Mathematical Physics, Physical Combinatorics, Integrable Systems
Additional Campus Affiliations
Professor, Mathematics
Professor, Physics
External Links
Recent Publications
Colomo, F., Corteel, S., Di Francesco, P., de Gier, J., Gorin, V., & Sasamoto, T. (2024). Limit shapes and fluctuations in statistical physics. Journal of Physics A: Mathematical and Theoretical, 57(44), Article 440201. https://doi.org/10.1088/1751-8121/ad8497
Di Francesco, P., & Vu, H. T. (2024). Arctic curves of the T-system with slanted initial data. Journal of Physics A: Mathematical and Theoretical, 57(33), Article 335201. https://doi.org/10.1088/1751-8121/ad65a5
Di Francesco, P., & Kedem, R. (2024). Macdonald Duality and the proof of the Quantum Q-system conjecture. Selecta Mathematica, New Series, 30(2), Article 23. https://doi.org/10.1007/s00029-023-00909-z
Di Francesco, P., Kedem, R., Khoroshkin, S., Schrader, G., & Shapiro, A. (2024). Ruijsenaars wavefunctions as modular group matrix coefficients. Letters in Mathematical Physics, 114(6), Article 136. https://doi.org/10.1007/s11005-024-01881-1
Di Francesco, P. (2023). Arctic curves of the 20V model on a triangle. Journal of Physics A: Mathematical and Theoretical, 56(20), Article 204001. https://doi.org/10.1088/1751-8121/acccbe