Personal profile
Professional Information
Mathematical Physics, Physical Combinatorics, Integrable Systems
Office Address
Department of Mathematics
223 Illini Hall, MC-382
1409 W. Green Street
Urbana, IL 61801
Office Phone
Research Interests
Mathematical Physics, Enumerative and Algebraic Combinatorics, Integrable models of Statistical Physics, Cluster Algebra, Matrix models, Quantum (Conformal) Field Theory.
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Collaborations and top research areas from the last five years
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Research output
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Limit shapes for domain-wall (colored) vertex models
Francesco, P. D. & Keating, D., Apr 2026, In: Journal of Physics A: Mathematical and Theoretical. 59, 16Research output: Contribution to journal › Article › peer-review
Open Access -
Arctic curves of the T-system with slanted initial data
Di Francesco, P. & Vu, H. T., Sep 6 2024, In: Journal of Physics A: Mathematical and Theoretical. 57, 33, 335201.Research output: Contribution to journal › Article › peer-review
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Limit shapes and fluctuations in statistical physics
Colomo, F., Corteel, S., Di Francesco, P., de Gier, J., Gorin, V. & Sasamoto, T., Nov 22 2024, In: Journal of Physics A: Mathematical and Theoretical. 57, 44, 440201.Research output: Contribution to journal › Editorial › peer-review
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Macdonald Duality and the proof of the Quantum Q-system conjecture
Di Francesco, P. & Kedem, R., Apr 2024, In: Selecta Mathematica, New Series. 30, 2, 23.Research output: Contribution to journal › Article › peer-review
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Ruijsenaars wavefunctions as modular group matrix coefficients
Di Francesco, P., Kedem, R., Khoroshkin, S., Schrader, G. & Shapiro, A., Dec 2024, In: Letters in Mathematical Physics. 114, 6, 136.Research output: Contribution to journal › Article › peer-review
Open Access