Faculty

Institution

Unit

Venue

Philippe Di Francesco

Morris and Gertrude Fine Distinguished Professor of Mathematics

University of Illinois Urbana-Champaign

Affiliations

College of Liberal Arts & Sciences

Department of Mathematics

Philippe Di Francesco is currently serving as a College Of Liberal Arts & Sciences Morris and Gertrude Fine Distinguished Professor of Mathematics at University of Illinois Urbana-Champaign.

Honors

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Experiences

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Education

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Philippe Di Francesco

University of Illinois Urbana-Champaign

Morris and Gertrude Fine Distinguished Professor of Mathematics

You can click a keyword to filter the displayed items

mathematics applied mathematics mathematical sciences combinatorial theory theoretical physics mathematical physics combinatorics physics geometric topology discrete mathematics spectral theory statistical physics statistical mechanics quantum field theory algebra geometry and topology symmetry polyhedron graph theory algebraic combinatorics discrete geometry quantum algebra discrete algorithms critical phenomena enumerative combinatorics cluster algebras quantum science conformal field theory planar graphs statistical field theories quantum groups geometric graph theory topological combinatorics mathematical statistical physic discrete integrable system matrix theory lattice theory arctic curves high energy physics lattice (order) lattice field theory analytic combinatorics lie algebra geometric algorithms algebraic graph theory enumerative geometry lie theory computer science boundary value problems statistical methodology loop space quantum lattice system integrable systems bijective combinatorics string theory geometric quantization algebraic analysis correlation functions plane partitions sign matrices triangular lattice arctic curve modern physics combinatorial optimization cold region science structural graph theory loop model singular vectors weighted enumeration random lattices tangent method planar maps geodesic distance partition function boundary conditions quantum knizhnik-zamolodchikov equation quantum theory quantum mechanics integrable models constructive field theory field theory

Notable Scholarly Works

Notable Federal Grants

Collaborators

Arctic Curves of the T-System With Slanted Initial Data. Journal of Physics A Mathematical and Theoretical (2024)

Philippe Di FrancescoHieu Trung Vu

nonlinear phenomenaarctic curvesnonlinear sciencemath xmlnsphysicsmathematical physicsslanted initial datamathematicsbifurcation theorycomplex dynamicsapplied mathematicsdynamical systems

Cluster Structure on Genus 2 Spherical Daha: Seven-Colored Flower. (2024)

Semeon ArthamonovLeonid ChekhovPhilippe Di FrancescoRinat KedemAlexander ShapiroMichael ShapiroGus Schrader

geometric topologyalgebraic geometryenumerative geometrypolyhedroncombinatorial theorytopologyspherical dahaapplied mathematicscluster algebrasmathematicsknot theorycluster realizationalgebraic topologyalgebraic combinatoricsseven-colored flowergeometry and topologymathematical sciences

Limit Shapes and Fluctuations in Statistical Physics. Journal of Physics A Mathematical and Theoretical (2024)

Filippo ColomoSylvie CorteelPhilippe Di FrancescoJan de GierVadim GorinTomohiro Sasamoto

statistical mechanicsasymptotic analysisstatistical physicsphysicslimit shapesmathematical statistical physicstochastic processprobability theorycritical phenomena

Macdonald Duality and the Proof of the Quantum Q-System Conjecture. Selecta Mathematica (2024)

Philippe Di FrancescoRinat Kedem

macdonald dualityquantum groupsquantum information sciencepure mathematicstheoretical physicsmathematicsquantum algebraquantum scienceapplied mathematicsmathematical sciences

Ruijsenaars Wavefunctions as Modular Group Matrix Coefficients. Letters in Mathematical Physics (2024)

Philippe Di FrancescoRinat KedemSergey KhoroshkinGus SchraderAlexander Shapiro

punctured torusquantum mechanicsphysicsquantum chemistrymathematical physicsmathematicselectronic structuremoduli spacematrix coefficientsspectral theorydirac operator

Arctic Curves of the 20V Model on a Triangle. Journal of Physics A Mathematical and Theoretical (2023)

Philippe Di Francesco

statistical mechanicsarctic curvesnumerical modeling (geology)statistical physicspolyhedronphase transitionstangent methodmathematicsphase diagramice-water systemapplied mathematicscritical phenomena

Duality and Macdonald Difference Operators. HAL (Le Centre pour la Communication Scientifique Directe) (2023)

Philippe Di FrancescoRinat Kedem

noncommutative geometryfunctional analysisoperator algebrasoperator theorymathematicslinear operatorsalgebraic analysismacdonald difference operatorsuniversal algebraspectral theoryapplied mathematicsmathematical sciences

Exponents for Hamiltonian Paths on Random Bicubic Maps and Kpz. Nuclear Physics B (2023)

Philippe Di FrancescoBertrand DuplantierOlivier GolinelliEmmanuel Guitter

statistical mechanicscombinatoricsanalytic combinatoricsmeasured exponentsstatistical physicsphysicsconfiguration exponentsmathematicsdiscrete mathematicshamiltonian pathsdiscrete geometryenumerative combinatoricsapplied mathematicsmathematical sciences

Arctic Curves of the Reflecting Boundary Six Vertex and of the Twenty Vertex Models. Journal of Physics A Mathematical and Theoretical (2021)

Philippe Di Francesco

arctic curvespolyhedronapplied mathematicsmathematicsgeometryboundary sixtwenty vertex modelsgeometry and topologycold region science

Macdonald Operators and Quantum Q-Systems for Classical Types. Progress in mathematics (2021)

Philippe Di FrancescoRinat Kedem

quantum mechanicsquantum groupsoperator algebrastheoretical physicsoperator theorymathematicsquantum algebramacdonald operatorsquantum sciencespectral theoryapplied mathematics

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Philippe Di Francesco

Morris and Gertrude Fine Distinguished Professor of Mathematics

University of Illinois Urbana-Champaign

Affiliations

College of Liberal Arts & Sciences

Department of Mathematics

Philippe Di Francesco is currently serving as a College Of Liberal Arts & Sciences Morris and Gertrude Fine Distinguished Professor of Mathematics at University of Illinois Urbana-Champaign.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Philippe Di Francesco

University of Illinois Urbana-Champaign

Morris and Gertrude Fine Distinguished Professor of Mathematics

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Arctic Curves of the T-System With Slanted Initial Data. Journal of Physics A Mathematical and Theoretical (2024)

Philippe Di FrancescoHieu Trung Vu

nonlinear phenomenaarctic curvesnonlinear sciencemath xmlnsphysicsmathematical physicsslanted initial datamathematicsbifurcation theorycomplex dynamicsapplied mathematicsdynamical systems

Cluster Structure on Genus 2 Spherical Daha: Seven-Colored Flower. (2024)

Semeon ArthamonovLeonid ChekhovPhilippe Di FrancescoRinat KedemAlexander ShapiroMichael ShapiroGus Schrader

Limit Shapes and Fluctuations in Statistical Physics. Journal of Physics A Mathematical and Theoretical (2024)

Filippo ColomoSylvie CorteelPhilippe Di FrancescoJan de GierVadim GorinTomohiro Sasamoto

statistical mechanicsasymptotic analysisstatistical physicsphysicslimit shapesmathematical statistical physicstochastic processprobability theorycritical phenomena

Macdonald Duality and the Proof of the Quantum Q-System Conjecture. Selecta Mathematica (2024)

Philippe Di FrancescoRinat Kedem

macdonald dualityquantum groupsquantum information sciencepure mathematicstheoretical physicsmathematicsquantum algebraquantum scienceapplied mathematicsmathematical sciences

Ruijsenaars Wavefunctions as Modular Group Matrix Coefficients. Letters in Mathematical Physics (2024)

Philippe Di FrancescoRinat KedemSergey KhoroshkinGus SchraderAlexander Shapiro

punctured torusquantum mechanicsphysicsquantum chemistrymathematical physicsmathematicselectronic structuremoduli spacematrix coefficientsspectral theorydirac operator

Arctic Curves of the 20V Model on a Triangle. Journal of Physics A Mathematical and Theoretical (2023)

Philippe Di Francesco

statistical mechanicsarctic curvesnumerical modeling (geology)statistical physicspolyhedronphase transitionstangent methodmathematicsphase diagramice-water systemapplied mathematicscritical phenomena

Duality and Macdonald Difference Operators. HAL (Le Centre pour la Communication Scientifique Directe) (2023)

Philippe Di FrancescoRinat Kedem

Exponents for Hamiltonian Paths on Random Bicubic Maps and Kpz. Nuclear Physics B (2023)

Philippe Di FrancescoBertrand DuplantierOlivier GolinelliEmmanuel Guitter

Arctic Curves of the Reflecting Boundary Six Vertex and of the Twenty Vertex Models. Journal of Physics A Mathematical and Theoretical (2021)

Philippe Di Francesco

arctic curvespolyhedronapplied mathematicsmathematicsgeometryboundary sixtwenty vertex modelsgeometry and topologycold region science

Macdonald Operators and Quantum Q-Systems for Classical Types. Progress in mathematics (2021)

Philippe Di FrancescoRinat Kedem

quantum mechanicsquantum groupsoperator algebrastheoretical physicsoperator theorymathematicsquantum algebramacdonald operatorsquantum sciencespectral theoryapplied mathematics

1
2
3
4
5
16
10 / page

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