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
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
Di Francesco, P., & Guitter, E. (2019). A tangent method derivation of the arctic curve for q-weighted paths with arbitrary starting points. Journal of Physics A: Mathematical and Theoretical, 52(11), [115205]. https://doi.org/10.1088/1751-8121/ab03ff
Di Francesco, P., & Guitter, E. (2019). The Arctic Curve for Aztec Rectangles with Defects via the Tangent Method. Journal of Statistical Physics, 176(3), 639-678. https://doi.org/10.1007/s10955-019-02315-2
Di Francesco, P., & Kedem, R. (2019). (t, q)-Deformed Q-Systems, DAHA and Quantum Toroidal Algebras via Generalized Macdonald Operators. Communications in Mathematical Physics, 369(3), 867-928. https://doi.org/10.1007/s00220-019-03472-x