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, Physics
External Links
Recent Publications
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), [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), [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
Debin, B., Di Francesco, P., & Guitter, E. (2020). Arctic Curves of the Twenty-Vertex Model with Domain Wall Boundaries. Journal of Statistical Physics, 179(1), 33-89. https://doi.org/10.1007/s10955-020-02518-y
Di Francesco, P., & Guitter, E. (2020). Twenty-vertex model with domain wall boundaries and domino tilings. Electronic Journal of Combinatorics, 27(2), [P2.13]. https://doi.org/10.37236/8809