Research Projects
Research Projects
Urban Buildings Generation and Modeling for Thermal and Energy Simulations
2026 - 30
Beyond Permutahedra and Associahedra: Geometry, Combinatorics, Algebra, and Probability
PI: Viviane Pons and Cesar Ceballos
2022 - 26
Co-organization of Conferences and Workshops
Journée de JCJC aux 20 ans du GDR IFM
with Florent Bréhard, Julie Parreaux, Daria Pchelina, and David Saulpic
at Sorbonne University, Paris, March 2026
Research School: Beyond Permutahedra and Associahedra
with Vincent Pilaud, Viviane Pons, and Cesar Ceballos
at CIRM, Luminy, December 2025
Research in Residence: Arithmetic and Geometry of Apollonian Packings
with Matthew Litman
at CIRM, Luminy, May 2025
Rencontres des Jeunes Chercheurs du Groupe de Travail en Modélisation Géométrique
with Jean-Luc Mari
at Aix-Marseille Université, March 2024
Papers
[8] Computer-Aided Design of Lacunar Fractal Polygons
with Boris Bordeaux, Christian Gentil and Lionel Garnier
hal-05407434 (preprint)
[7] A polytopal generalization of Apollonian packings and Descartes' theorem
with Jorge L. Ramírez Alfonsín
Journal of Number Theory 275 (2025) 67-103
[5] Links in orthoplicial Apollonian packings
with Jorge L. Ramírez Alfonsín
European Journal of Combinatorics 122 (2024): 104017
[4] Self-Dual Maps III: Projective Links
with Luis Montejano and Jorge L. Ramírez Alfonsín
Journal of Knot Theory and Its Ramifications 32.10 (2023): 2350066
[3] Self-Dual Maps II: Links and Symmetry
with Luis Montejano and Jorge L. Ramírez Alfonsín
SIAM Journal of Discrete Mathematics 37.1 (2023): 191-220
[2] Self-Dual Maps I: Antipodality
with Luis Montejano and Jorge L. Ramírez Alfonsín
SIAM Journal of Discrete Mathematics 36.3 (2022): 1551-1566
PhD Thesis
A polytopal approach to Apollonian packings and discrete knotted structures
PhD Thesis at Université de Montpellier
Posters