Thibaut Delcroix
photo de face de T. Delcroix

Maître de Conférences at University of Montpellier since 2019

Email: thibaut.delcroixumontpellier.fr

Address: IMAG, c.c. 051
Université de Montpellier
Place Eugène Bataillon
34095 Montpellier Cedex 5
(office 308, building 9, campus map)

ORCIDzbMatharXivHALResearchGate

Research in complex geometry at IMAG, in the GTA team, I am PI of ANR-21-CE40-0011 JCJC project MARGE 2021-2025. 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 2023


THE BIG TABLE


New preprint Spherical actions on locally factorial Fano varieties of dimension \(\leq 4\) and rank \(\leq 2\) with Pierre-Louis Montagard


On September 25-29 2023, I will participate in the CMI Workshop K-stability and Birational Geometry in Oxford, UK


On June 25-28 2024, I will participate in the conference Varieties with Boundaries in Wakkanai, Japan


On May 15-19 2023, I participated in the International conference "Workshop on Moduli, K-stability, Fano varieties, and related topics" at IBS in Daejeon, Republic of Korea. I gave two 1-hour talks (slides for talk1 and talk2) on effective K-stability of spherical varieties, the first talk giving an introduction to spherical varieties via a WIP on the classification of spherical Fano fourfolds with Pierre-Louis Montagard.


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


In 2024 I will be co-organizing the biannual meeting of GDR GAGC, together with Benoît Cadorel


I am in charge of the weekly AGATA seminar in Montpellier, with Damien Calaque (see here for the official seminar website).


On March 23-24, 2023, I organized the (final?) FIBALGA workshop in Montpellier.
On April 10-14 2023, I attended the Oberwolfach workshop "Komplexe Analysis - Differential and Algebraic methods in Kähler spaces".

Earlier


June 2-3 2022: I organized the first workshop of ANR MARGE: Young researchers in Kähler and Hermitian geometry, Montpellier
First half of 2022: I organized the online reading seminar Weighted cscK metrics and semisimple principal fibrations
On January 5-7 2022, I gave a series of three two-hours lectures on canonical Kähler metrics on spherical varieties, online at the Ensemble of Algebra and Geometry seminar, here are the lecture notes, with some minor typos Lecture 1, Lecture 2 and Lecture 3.
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. On July 10-13 I visited Olivier Biquard, Sébastien Boucksom and Eleonora Di Nezza in Paris.
June 27 to July 1, Tiago Duarte Guerreiro visited me in Montpellier.
On June 21-23 2022, I gave a talk at the International Workshop Kähler and non-Kähler Geometry: New Developments and Interactions in Aarhus.
On June 15 2022, I gave a talk at the virtual seminar on Geometry with Symmetries.
May 29 to June 3 2022: Annamaria Ortu and Carlo Scarpa visited me in Montpellier.
April-May 2022, I organized a local reading seminar on plurisubharmonic functions and the Monge-Ampère operator.
On May 19-20 2022, I gave a talk at the Journées d'études TLAG 2022.
On May 9 2022, I gave a talk at the séminaire de géométrie complexe in Nancy.
On April 28 2022, I gave a talk at the special session "Group actions on varieties" of Korean Mathematical Society Spring Meeting 2022 (slides).
On March 25 2022, I gave a talk at the séminaire de géométrie in Nantes.
On March 9-11 2022, I gave a talk at the FIBALGA workshop Poitiers 2022.
On March 3-4 2022, I visited Eveline Legendre and Simon Jubert in Toulouse.

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

Spherical actions on locally factorial Fano varieties of dimension \(\leq 4\) and rank \(\leq 2\)
Thibaut Delcroix and Pierre-Louis Montagard
preprint
arXiv:2308.15858
An effective weighted K-stability condition for polytopes and semisimple principal toric fibrations
Thibaut Delcroix and Simon Jubert
Annales Henri Lebesgue Volume 6 (2023), pp. 117-149.
doi:10.5802/ahl.161arXiv:2202.02996
The Yau-Tian-Donaldson conjecture for cohomogeneity one manifolds
Thibaut Delcroix
In: Cheltsov, I., Chen, X., Katzarkov, L., Park, J. (eds) Birational Geometry, Kähler–Einstein Metrics and Degenerations., Springer Proceedings in Mathematics & Statistics, vol 409.
doi:10.1007/978-3-031-17859-7_10arXiv:2011.07135

Uniform K-stability of polarized spherical varieties
Thibaut Delcroix, with an appendix by Yuji Odaka
EPIGA, Vol 7, 2023
doi:10.46298/epiga.2022.9959arXiv:2009.06463

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:1911.08300
Coupled 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

Students & Postdocs


Tran Trung Nghiem is currently my PhD student, co-supervised with Marc Herzlich, he has written two articles related to his PhD thesis: On the regularity of conical Calabi-Yau potentials (to appear at Annale Polonici Mathematici) and Spherical cones: classification and a volume minimization principle (to appear at Journal of Geometric Analysis)
Andréa Favier and Raphaël Planque Master 1 thesis (2022):
"Points entiers dans les polytopes convexes"
version finale
Agathe Rolland Master 1 thesis (2021):
"Description du groupe de Lie G_2 et de son action sur S^6"
version finale

Enseignement


HAX502X - Calcul différentiel et équations différentielles, 2022-2023
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, 2022-2023
Co-responsable UE avec Thomas Hausberger, cours, TD et tutorat
L1 Biologie, parcours Apprentissage Par Problèmes

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

Encadrement du TER d'Agathe Rolland 2021 :
"Description du groupe de Lie G_2 et de son action sur S^6"
version finale
HLMA602 - Calcul différentiel et équations différentielles, 2020-2021
Responsable UE, cours et TD
Documents : poly de cours, feuilles de TD, sujet d'examen
HLMA412 - Compléments d'analyse, 2020-2021
Responsable UE, cours et TD
Documents : poly de cours, feuilles de TD, sujet d'examen
HMMA114 - Géométrie et groupes classiques, 2020-2021
Responsable UE, cours et TD
Documents : poly de cours, feuilles de TD, sujet d'examen
HLMA103 - BioMaths, 2020-2021
quelques TD
Documents : quelques feuilles de TD corrigées

HLMA602 - Calcul différentiel et équations différentielles, 2019-2020
TD
voir la page web de Matthieu Alfaro pour le poly cours-TD
HLMA412 - Compléments d'analyse, 2019-2020
Responsable UE, cours et TD
Documents : poly de cours-TD, sujet d'examen
HMMA114 - Géométrie et groupes classiques, 2019-2020
Responsable UE, cours et TD
Documents : poly de cours, feuilles de TD, sujet d'examen

Powered by w3.css