Research in complex geometry at IMAG, in the GTA team, partially funded by ANR-21-CE40-0011 JCJC project MARGE 2021-2025, CNRS PEPS JCJC 2022 grant (both as PI) and ANR JCJC project FIBALGA 2018-2022 (PI: Ronan Terpereau).
I belong to the French research groups GDR GAGC and TLAG and I am a member of SMF, the French Mathematical Society, and European Mathematical Society.
Teaching at the mathematics department of Faculté des Sciences de Montpellier. I currently teach a third year course 'Calcul différentiel et équations différentielles' and a Problem Based Learning course for first year Biology students.
I have been a postdoctoral researcher at University of Strasbourg (2018-2019) and ENS-PSL (2016-2018). Before that, I was PhD student (2012-2015) then ATER (2015-2016) at UGA.
I defended my PhD thesis Kähler-Einstein metrics on group compactifications in October 2015.
Philippe Eyssidieux was my advisor.
Going back in time, Mathematics Genealogy Project indicates that my mathematical ancestors were: Ngaiming Mok, Yum-Tong Siu, Robert Clifford Gunning, Salomon Bochner, Erhard Schmidt, David Hilbert (and I'll stop here: Hilbert has over 36000 descendants in the database!).
News 2022-2023
On March 23-24, 2023, I will be co-organizing the final FIBALGA workshop in Montpellier. Please contact me if you would like to attend, but note that there is no funding available for participants.
In 2024 I will be co-organizing an Oberwolfach workshop on Birational geometry, Mirror symmetry and K-stability, together with Susanna Zimmermann and Liana Heuberger
I am in charge of the weekly AGATA seminar in Montpellier, with Damien Calaque (see here for the official seminar website).
On December 11-14 2022, I visited Sébastien Boucksom in Paris. On November 23 2022, I gave a talk at Edge days 2022 (21-25 November) in Edinburgh. October 30 to November 4 2022, I visited Eleonora Di Nezza in Paris. On October 24-25 2022, Pierre-Alexandre Gillard visited me in Montpellier.
Together with Pierre-Louis Montagard, we organized the Journées d'étude du GDR TLAG 2021 on June 24-25 2021. Together with Georgios Kydonakis and Florent Schaffhauser, we organized the conference Geometric and Analytic aspects of moduli spaces of Higgs bundles online, on June 7-11 2021. On July 5-9 2021, I visited Chinh Lu, Sébastien Boucksom, Olivier Biquard and Paul Gauduchon in Paris. On June 14-18 2021, I gave a talk at the Algebraic Geometry in Angers conference. May 31 to June 4 2021, I attended AMAZER conference to celebrate Ahmed Zeriahi. On May 25 2021, I gave an online talk at the School of mathematics and statistics, Beijing Insitute of Technology, invited by Yan Li. On April 29 2021, I gave a talk at the Séminaire de géométrie complexe in Toulouse. On March 18-19 2021, I gave a talk at the FIBALGA 2021 Workshop in Dijon. On January 22 2021, I gave an online talk at Tokyo Tech geometry seminar, invited by Yoshinori Hashimoto. On January 11 2021, I gave an online talk at the Séminaire ANH of Insitut de Mathématiques d'Orsay, invited by Chinh Lu. On January 5 2021, I gave an online talk at the Geometry seminar of Lisbonne, invited by Rosa Sena Dias.
Together with Clément Dupont, we ran a reading seminar on Théorie de Hodge en combinatoire in 2020 (in French). On August 17-21 I gave an online talk at Oberwolfach workshop "Komplexe Analysis: algebraicity and transcendence".
Publications
An effective weighted K-stability condition for polytopes and semisimple principal toric fibratons
Thibaut Delcroix and Simon Jubert
preprint arXiv:2202.02996
to appear at Annales Henri LebesgueThe Yau-Tian-Donaldson conjecture for cohomogeneity one manifolds
Thibaut Delcroix
preprint arXiv:2011.07135
to appear in the conference proceedings Birational Geometry, Kaehler-Einstein Metrics and Degenerations, Springer Proceedings in Mathematics & Statistics.
Uniform K-stability of polarized spherical varieties
Thibaut Delcroix, with an appendix by Yuji Odaka
preprint arXiv:2009.06463
to appear at EPIGA.
Examples of K-unstable Fano manifolds
Thibaut Delcroix Annales de l'Institut Fourier Tome 72 no. 5, 2079--2108 (2022) Zbl 07589437doi:10.5802/aif.3505arXiv:1911.08300Coupled complex Monge-Ampère equations on Fano horosymmetric manifolds
Thibaut Delcroix and Jakob Hultgren Journal de Mathématiques pures et appliquées (9) 153, 281--315 (2021) Zbl 07395705doi:10.1016/j.matpur.2020.12.002arXiv:1812.07218
Ricci flat Kähler metrics on rank two complex symmetric spaces
Thibaut Delcroix and Olivier Biquard Journal de l'École Polytechnique - Mathématiques 6, 163--201 (2019) Zbl 1431.53076doi:10.5802/jep.91arXiv:1807.07129
Kähler geometry of horosymmetric varieties, and application to Mabuchi's K-energy functional
Thibaut Delcroix Journal für die reine und angewandte Mathematik 763, 129--199 (2020) Zbl 1446.32015doi:10.1515/crelle-2018-0040arXiv:1712.00221
K-Stability of Fano spherical varieties
Thibaut Delcroix Annales Scientifiques de l'École Normale Supérieure (4) 53, No. 3, 615--662 (2020) Zbl 07226614doi:10.24033/asens.2430arXiv:1608.01852
Kähler-Einstein metrics on group compactifications
Thibaut Delcroix Geometric and Functional Analysis 27, No. 1, 78--129 (2017) Zbl 1364.32017doi:10.1007/s00039-017-0394-yarXiv:1510.07384
Log canonical thresholds on group compactifications
Thibaut Delcroix Algebraic Geometry 4, No. 2, 203--220 (2017) Zbl 1393.14050doi:10.14231/AG-2017-010arXiv:1510.05079
Alpha-invariant of toric line bundles
Thibaut Delcroix Annales Polonici Mathematici 114, No. 1, 13--27 (2015) Zbl 1331.32010doi:10.4064/ap114-1-2arXiv:1409.0961
Les groupes de Burger-Mozes ne sont pas Kählériens
Thibaut Delcroix Annales de la Faculté des Sciences de Toulouse (6) 23, No. 1, 115--127 (2014) Zbl 1290.32017doi:10.5802/afst.1399arXiv:1211.4234
Encadrement du TER d'Andréa Favier et Raphaël Planque 2022 : "Points entiers dans les polytopes convexes" HAS202X - Outils Mathématiques 3, 2021-2022 un groupe de TD L1 Chimie HAX604X - Analyse numérique des équations différentielles, 2021-2022 un groupe de TD L3 Math HAX707X - Groupes et géométrie, 2021-2022 Responsable UE, cours et TD M1 Math Documents : contrôle final, cf HMMA114 années précédentes pour l'essentiel du cours et des TD HAX502X - Calcul différentiel et équations différentielles, 2021-2022 Responsable UE, cours et TD L3 Math Documents : contrôle final, cf HLMA602 années précédentes pour l'essentiel du cours et des TD HAV114X - Mathématiques calculatoires en APP, 2021-2022 Co-responsable UE avec Thomas Hausberger, cours, TD et tutorat L1 Biologie, parcours Apprentissage Par Problèmes