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Philippe Di Francesco

Profile picture for Philippe Di Francesco

Contact Information

Department of Mathematics
223 Illini Hall, MC-382
1409 W. Green Street
Urbana, IL 61801
Morris and Gertrude Fine Distinguished Professor of Mathematics

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

Recent Publications

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

Francesco, P. D., & Kedem, R. (2021). Macdonald Operators and Quantum Q-Systems for Classical Types. In Progress in Mathematics (pp. 163-199). (Progress in Mathematics; Vol. 340). Birkhäuser. https://doi.org/10.1007/978-3-030-78148-4_6

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