- CV
- Update: I moved to Universite Gustave Eiffel as a Professor in 2023. New page here.
- I am an Assistant Professor (Maître de conférences) at the Institute of Technology (IUT) of Saint-Denis, and a member of the Laboratoire d'Informatique de Paris Nord (LIPN) in the team Combinatoire, ALgorithmique et INteractions (CALIN). I arrived there in 2013.
- I worked at the Institut de Recherche en Informatique Fondamentale (IRIF) in 2019-2020 when I obtained a year at CNRS (accueil en délégation) and remained associate member until 2023.
- Before that, I was a postdoctoral fellow at Perimeter Institute for Theoretical Physics, Waterloo, Ontario, Canada, from 2010 to 2013, supported by a MRI grant from the Government of Ontario.
- You can find a CV here.
- My Research interests
- I work in the fields of enumerative, bijective and algebraic combinatorics. I like decomposing combinatorial objects in order to encode them and enumerate them, and using algebraic tools to understand their structures (and enumerate them again!)
Combinatorial physics is one of the two axes of the CALIN team in LIPN! It goes both ways between combinatorics and physics:- Quantum field theories, quantum gravity and statistical mechanics is a source of combinatorial challenges which does not dry up and can be among my motivations.
- I also invite techniques originating from mathematical physics in the realm of combinatorics, such that the topological recursion and integrability.
Some topics I am interested in- Combinatorics of trees, maps and higher dimensional triangulations
- Maps and maps decorated with models from statistical mechanics
- Discrete integrable systems and integrable hierarchies in combinatorics
- Symmetric functions
- Random matrix models and random tensor models
- The topological recursion
- Combinatorics of low-dimensional topology and geometry
- Quantum invariants of manifolds and knots, quantum groups
- Publications
- All preprints available here on the arxiv! You can find my Ph.D. manuscript, in French, here, and my habilitation (HDR), in English, here.
- I have had around 30 co-authors.
- More stats from the high energy physics database here
- Recent preprints: things I am excited about these days!
- Classification of maps decorated with loops according to genus and number of loops
- "Double scaling limit of multi-matrix models at large D," with Victor Nador and Adrian Tanasa. arxiv:2209.02026 Accepted in J. Phys. A
- Weighted Hurwitz numbers
- "Topological recursion for Orlov-Scherbin tau functions, and constellations with internal faces,'' with Guillaume Chapuy, Séverin Charbonnier and Elba Garcia-Failde arxiv:2206.14768
- Integrability in non-oriented weighted Hurwitz numbers
- "Enumeration of non-oriented maps via integrability,'' with Guillaume Chapuy and Maciej Dołęga. arxiv:2110.12834 Algebraic Combinatorics \textbf{5} (2022), 1363-1390
- "b-monotone Hurwitz numbers: Virasoro constraints, BKP hierarchy, and O(N)-BGW integral,'' with Guillaume Chapuy and Maciej Dołęga. arxiv:2109.01499 International Mathematical Research Notices rnac177
- Universality classes in dimensions 3 and 4
- "Maximizing the number of edges in three-dimensional colored triangulations whose building blocks are balls," arxiv:1802.06419
- "Colored triangulations of arbitrary dimensions are stuffed Walsh maps," with Luca Lionni and Vincent Rivasseau. arxiv:1508.03805 Electronic Journal of Combinatorics 24(1) (2017) #P1.56
- "Enhancing non-melonic triangulations: A tensor model mixing melonic and planar maps," with Thibault Delepouve and Vincent Rivasseau. arxiv:1502.01365 Nuclear Phys. B 895 (2015) 161-191
- More accessible, introductory/survey articles
- On the classification and enumeration of triangulations in dimension 3 and higher
- "Counting gluings of octahedra," with Luca Lionni. Electronic Journal of Combinatorics 24 #P3.36 (2017). arXiv:1608.00347
- "Diagrammatic proof of the large N melonic dominance in the SYK model," with Victor Nador and Adrian Tanasa. Letters in Mathematical Physics 109, 2611-2624 (2019). arXiv:1808.10314
- "Large N Limits in Tensor Models: Towards More Universality Classes of Colored Triangulations in Dimension d≥2." SIGMA 12 (2016), 073. arXiv:1603.03570
- "Random tensor models in the large N limit: Uncoloring the colored tensor models," with Razvan Gurau and Vincent Rivasseau. Phys. Rev. D 85, 084037 (2012). arXiv:1202.3637
- On loop quantum gravity and topological field theories
- "Gauge symmetries in spinfoam gravity: the case for "cellular quantization"," with Matteo Smerlak. Phys. Rev. Lett. 108, 241303 (2012). arXiv:1201.4996
- "Lessons from Toy-Models for the Dynamics of Loop Quantum Gravity," with Alok Laddha. SIGMA 8 (2012), 009. arXiv:1110.2157
- PhD supervision
Since 2020
Victor Nador (co-supervised with Adrian Tanasa (LaBRI))
2017-2021
Nicolas Dub (co-supervised with Frédérique Bassino)
2014-2017
Luca Lionni (co-supervised with Vincent Rivasseau (LPT Orsay))
