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
Morris and Gertrude Fine Distinguished Professor, Mathematics
External Links
Recent Publications
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. (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
Di Francesco, P., Duplantier, B., Golinelli, O., & Guitter, E. (2023). Exponents for Hamiltonian paths on random bicubic maps and KPZ. Nuclear Physics B, 987, Article 116084. https://doi.org/10.1016/j.nuclphysb.2023.116084
Di Francesco, P. (2021). Arctic Curves of the Reflecting Boundary Six Vertex and of the Twenty Vertex Models. Journal of Physics A: Mathematical and Theoretical, 54(35), Article 355201. https://doi.org/10.1088/1751-8121/ac17a6
Di Francesco, P. (2021). Twenty vertex model and domino tilings of the aztec triangle. Electronic Journal of Combinatorics, 28(4), Article P4.38. https://doi.org/10.37236/10227