**My Research interests**- Mostly combinatorial problems from high-energy physics and a bit of statistical physics, and from low-dimensional topology and geometry on the mathematical side.

*Combinatorial physics is one of the two axes of the CALIN team in LIPN!*

- Combinatorial methods in quantum gravity
- Combinatorics of graphs, trees, maps and higher dimensional structures
- Random matrix models and random tensor models
- Topological gauge theories, quantum invariants of manifolds
- Spin networks and spin foam models
- Combinatorics of low-dimensional topology and geometry

**Publications**- All preprints available here on the arxiv! You can find my Ph.D. manuscript, in French, here.
- I have had 20 co-authors, including 7 Master or Ph.D. students.
*More stats*from the high energy physics database here!- Recent preprints: the stuff I am excited about in these days!
- "Duality between Spin networks and the 2D Ising model,'' VB, Francesco Costantino and Etera R. Livine. arxiv:1504.02822
- "Enhancing non-melonic triangulations: A tensor model mixing melonic and planar maps,'' VB, Thibault Delepouve and Vincent Rivasseau. Accepted in
*Nucl. Phys. B*. arxiv:1502.01365 - "Deformed phase space for 3d loop gravity and hyperbolic discrete geometries," VB, Maité Dupuis, Florian Girelli, Etera R. Livine. arXiv:1402.2323

- More accessible, introductory/survey articles
- "Tensor models from the viewpoint of matrix models: the case of loop models on random surfaces," VB and Frédéric Combes.
*Annales Henri Poincaré D*2, 1 (2015). arXiv:1304.4152 - "Random tensor models in the large N limit: Uncoloring the colored tensor models," VB, Razvan Gurau and Vincent Rivasseau.
*Phys. Rev. D*85, 084037 (2012). arXiv:1202.3637 - "Gauge symmetries in spinfoam gravity: the case for "cellular quantization"," VB and Matteo Smerlak.
*Phys. Rev. Lett.*108, 241303 (2012). arXiv:1201.4996 - "Lessons from Toy-Models for the Dynamics of Loop Quantum Gravity," VB and Alok Laddha.
*SIGMA*8 (2012), 009. arXiv:1110.2157 - "Bubble divergences: sorting out topology from cell structure," VB and Matteo Smerlak.
*Annales Henri Poincaré*13 (2012) 185. arXiv:1103.3961

- "Tensor models from the viewpoint of matrix models: the case of loop models on random surfaces," VB and Frédéric Combes.
- Selected publications
- "The calculation of expectation values in Gaussian random tensor theory via meanders," VB and Frédéric Combes,
*Annales Henri Poincaré D*1, 443 (2015). arXiv:1310.3606 - "Critical behavior of colored tensor models in the large N limit," VB, Razvan Gurau, Aldo Riello and Vincent Rivasseau,
*Nucl. Phys. B*853, 174 (2011). arXiv:1105.3122 - "Dirac's discrete hypersurface deformation algebras," VB and Bianca Dittrich,
*Class. Quant. Grav.*30 (2013) 205013. arXiv:1304.5983 - "Bubble divergences from twisted cohomology," VB and Matteo Smerlak,
*Commun. Math. Phys.*312, 399 (2012). arXiv:1008.1476

- "The calculation of expectation values in Gaussian random tensor theory via meanders," VB and Frédéric Combes,
**CV**- I am an Assistant Professor at IUT Saint-Denis, France, and a member of the Laboratoire d'Informatique de Paris Nord (LIPN) in the team
*Combinatoire, ALgorithmique et INteractions*(CALIN). I was offered that position in 2013. - Before that, I was a postdoctoral fellow at Perimeter Institute for Theoretical Physics, Waterloo, Ontario, Canada, from 2010 to 2013. I was supported by a MRI grant from the Government of Ontario. In 2013 I was a recipient of the Banting Fellowship, which I declined in favor of my present position.

**Research project supervision**

Jan-Feb 2014

Luca Lionni (M2 ENS Paris)

Jan-July 2013

Frédéric Combes (M1 ENS Lyon)

Summer 2012

Yechao Elton Zhu (Queens' college, Cambridge)

Winter 2012

Harold Erbin (M2 ENS Paris)

Summer 2011

Pierre Fleury (M1 ENS Lyon)