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INFORMATION.
October 2022 - .: Postdoc in Chalmers, University of Göteborg, with Robert BERMAN (website).
April 2022 - September 2022: Postdoc in the DPMMS, University of Cambridge, with Ruadhaí DERVAN (website).
December 2021: Ph.D in Mathematics.
September 2019 - December 2021: Ph.D student at the Institut Fourier in Grenoble, co-supervised by Catriona MACLEAN (website) and Sébastien BOUCKSOM (website).
This page has last been updated on 2023/03/24.
CONTACT.
Current work e-mail: reboulet [at] chalmers.se
Perennial work e-mail (preferred): rebouletremimath [at] gmail.com
Office: Office H5014.
PUBLICATIONS AND PREPRINTS.
6. The birational geometry of GIT quotients (with Ruadhaí Dervan).
14 pages, arxiv.
5. Flats in the space of Kähler metrics and Okounkov bodies.
6 pages, written for the proceedings of a conference in the honour of Bo Berndtsson, pdf.
4. Ding stability and Kähler-Einstein metrics on manifolds with big anticanonical class (with Ruadhaí Dervan).
37 pages, arxiv.
3. The space of finite-energy metrics over a degeneration of complex manifolds.
Accepted in Journal de l'École polytechnique 48 pages, arxiv.
2. Plurisubharmonic geodesics in spaces of non-Archimedean metrics of finite energy.
Journal für die reine und angewandte Mathematik (Crelle's Journal), 50 pages, arxiv.
1. The asymptotic Fubini-Study operator over general non-Archimedean fields.
Mathematische Zeitschrift, 43 pages, arxiv.
RESEARCH TOPICS.
I study pluripotential theory in complex (Kähler) and non-Archimedean geometry, with some input from convex geometry.
Some keywords: non-Archimedean geometry, Berkovich spaces, analytic spaces, complex geometry, pluripotential theory, K-stability, tropical geometry, hybrid spaces, toric varieties, Okounkov bodies, convex geometry, convex analysis.
INVITED TALKS.
Dates are in international format YYYY/MM/DD.
2023/02/16: The birational geometry of GIT quotients.
KASS Seminar, Chalmers University Göteborg.
2023/01/20: Stabilité et métriques Kähler-Einstein sur des variétés à fibré anticanonique gros.
Séminaire de Géométrie, Laboratoire de Mathématiques Jean Leray, Nantes.
2022/12/12: Stabilité et métriques Kähler-Einstein sur des variétés à fibré anticanonique gros.
Séminaire de géométrie complexe, IECL, Nancy.
2022/10/31: Ding stability for manifolds with big anticanonical class.
Conference Convex and Complex:Perspectives on Positivity in Geometry, in honor of Bo Berndtsson's 70th birthday, Cetraro.
2022/05/25: Geodesics between algebraic models via Berkovich geometry.
Algebraic Geometry Seminar, DPMMS, Cambridge.
2022/03/14: Plurisubharmonic geodesics in non-Archimedean geometry and limits of complex manifolds.
KASS Seminar, Chalmers University, Göteborg.
2022/01/10: Géodésiques plurisousharmoniques non-archimédiennes et limites de variétés complexes.
Séminaire d'Analyse Harmonique, Orsay.
2021/12/09: Non-Archimedean plurisubharmonic geodesics and limits of complex geodesics.
Séminaire de Géométrie Complexe, Toulouse.
2021/11/18: Metric structures on the space of Hermitian norms on a complex vector space.
Séminaire compréhensible, Institut Fourier, Grenoble.
2021/11/08: Non-Archimedean plurisubharmonic geodesics and limits of complex geodesics.
Geometric Analysis Seminar, Purdue (over Zoom).
2021/11/02: Legendre transforms, convex bodies, and plurisubharmonic metrics.
Informal Geometric Analysis Seminar, University of Maryland (over Zoom).
2021/10/20: Plurisubharmonic geodesics in non-Archimedean geometry.
Oberseminar Algebra und Geometrie, Frankfurt (over Zoom).
2021/10/06: Géodésiques plurisousharmoniques non-archimédiennes et limites de variétés complexes.
Séminaire de géométrie, CMLS, Ecole Polytechnique.
2021/09/07: Non-Archimedean plurisubharmonic geodesics and complex limits.
Conference K-stability and Kähler Geometry, Cambridge.
2021/02/09: Plurisubharmonic geodesics in non-Archimedean geometry.
Complex Geometry seminar (over Zoom).
TEACHING.
2021-2022 - MAT307: Courbes paramétrées et équations différentielles. (36h TD)
(L2 Physique-Mécanique)
2019-2020 - MAT432: Sequences and series of functions. (64h CM+TD)
(L2 Math-Info International, dedicated page: MAT432)
ADMINISTRATIVE DUTIES.
From February 2021 to March 2022, I was a member of the Institut Fourier research council (UMR 5582, non-permanents).
In 2020-2021, I was co-organizing the PhD students' seminar, "Séminaire compréhensible".
OTHER DOCUMENTS.
Ph.D thesis defense slides: slides.
Ph.D thesis: pdf. The first two chapters are a self-contained introduction to non-Archimedean geometry, starting from scratch. The first chapter in particular, which treats the algebraic preliminaries, has been deliberately written in such a way that it should be readable to a(n interested) Master's student.