Contact
Email:
joseph.lehec@univ-poitiers.fr
Address:
LMA
Site du Futuroscope - Téléport 2
11 Boulevard Marie et Pierre Curie
Bâtiment H3 - TSA 61125
86073 POITIERS CEDEX 9
Research
Research Interests
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High-dimensional phenomena in probability and analysis
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Functional inequalities
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Asymptotic theory of convex sets
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Stochastic algorithms
Selected publications
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B., Klartag and J. Lehec,
Affirmative Resolution of Bourgain’s Slicing Problem Using Guan’s Bound,
Geom. Funct. Anal. 35 (2025), 1147-1168.
This paper received press coverage from Scientific American.
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B. Klartag and J. Lehec,
Isoperimetric inequalities in high-dimensional convex sets,
Bull. Amer. Math. Soc.
62 (2025), no. 4, 575-642.
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B. Klartag, and J. Lehec,
Bourgain’s slicing problem and KLS isoperimetry up to polylog,
Geom. Funct. Anal.
32 (2022), no. 5, 1134-1159.
- S. Bubeck, R. Eldan, and J. Lehec,
Sampling from a log-concave distribution with Projected Langevin Monte Carlo,
Discrete Comput. Geom.
59 (2018), no. 4, 757-783.
- J. Lehec,
Regularization in L1 for the Ornstein-Uhlenbeck semigroup,
Ann. Fac. Sci. Toulouse Math. (6) 25 (2016), no. 2, 191-204.
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J. Lehec,
Representation formula for the entropy and functional inequalities,
Ann. Inst. Henri Poincaré Probab. Stat. 49 (2013), no. 3, 885-899.
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J. Lehec,
A direct proof of the functional Santaló inequality,
C. R. Acad. Sci. Paris, Ser. I 347 (2009) 55-58.
Publications and preprints
Thesis
PhD Students
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Tom Maitre (2024-)
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Pierre Bizeul (2020-23, joint supervision with Dario Cordero-Erausquin).
Now post-doc at the Weizmann Institute
Recorded talks and slides (selection)
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Slides from a talk given
at the opening (general audience) of the 5th Korea-France conference, July 2025.
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Slides for a seminar given at Université
de Poitiers, on the solution of Bourgain's slicing problem, May 2025.
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Recordings of a series of lectures given jointly with Bo'az Klartag
at an IHP school, May 2024.
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Recording of an online talk
at the AGA seminar,
May 2022. Related slides.
Some conferences
Short Resume
Current position
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Professor, Université de Poitiers.
Past positions
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2017-2020: Assistant Professor (part-time) at École Normale Supérieure.
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2009-2022: Assistant Professor, Université Paris-Dauphine.
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2006-2009: Teaching Assistant, Université Paris-est Marne la Vallée.
Education
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2016: Habilitation thesis, Université Paris-Dauphine.
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2008: PhD, Université Paris-Est Marne-la-Vallée, advisor: Bernard Maurey.
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2002-2006: Student at École Normale Supérieure.
Awards, grants
- 2025: Marc Yor prize
- 2023: ANR grant Conviviality (PI: Max Fathi)
- 2013, 2016, 2021: CNRS sabbatical leaves (demi-délégations)
- 2019: Del Duca Grant (PI: Natael Gozlan)
Teaching documents
The material related to my current classes is only accessible
to the students of the University of Poitiers.
The documents below correspond to courses I've taught in the past.