Personal information

Websites & social links

http://delcroix.perso.math.cnrs.fr/

Keywords

Complex geometry, Kähler-Einstein metric, Spherical varieties, K-stability

Countries

France

Biography

After a PhD thesis in Grenoble, I was postdoc in Paris and Strasbourg, before obtaining a permanent Maître de Conférences position in Montpellier. I work in complex geometry, with both differential geometric and algebro-geometric point of view. The focus of my research is on the existence of canonical Kähler metrics on spherical varieties, which are complex algebraic varieties with a large dimensional group of automorphism.

Activities

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Employment (1)

Université de Montpellier: Montpellier, Languedoc-Roussillon, FR

2019-09-01 to present | Maître de Conférences
Employment
Source: Self-asserted source
Thibaut Delcroix

Funding (1)

Real Monge-Ampère and Kähler geometry of homogeneous spaces – MARGE

2021-09-20 to 2025-09-19 | Grant
Agence Nationale de la Recherche (Paris, FR)
URL: https://app.dimensions.ai/details/grant/grant.9948038
GRANT_NUMBER: ANR-21-CE40-0011
Source: Self-asserted source
Thibaut Delcroix via DimensionsWizard

Works (15)

Limits of conical Kähler-Einstein metrics on rank one horosymmetric spaces

Bulletin of the London Mathematical Society
2024-05-10 | Journal article
DOI: 10.1112/blms.13069
HAL: hal-04258511
Contributors: Thibaut Delcroix
Source: Self-asserted source
Thibaut Delcroix via HAL

Spherical actions on locally factorial Fano varieties of dimension $\leq 4$ and rank $\leq 2$

2023-08 | Working paper
HAL: hal-04191077
Contributors: Thibaut Delcroix; Pierre-Louis Montagard
Source: Self-asserted source
Thibaut Delcroix via HAL

The Yau-Tian-Donaldson conjecture for cohomogeneity one manifolds

2023-05-23 | Book chapter
DOI: 10.1007/978-3-031-17859-7_10
HAL: hal-03005597
Contributors: Thibaut Delcroix
Source: Self-asserted source
Thibaut Delcroix via HAL

An effective weighted K-stability condition for polytopes and semisimple principal toric fibrations

Annales Henri Lebesgue
2023-05-16 | Journal article
DOI: 10.5802/ahl.161
HAL: hal-03660414
ARXIV: 2202.02996
ARXIV: 2202.02996
Contributors: Thibaut Delcroix; Simon Jubert
Source: Self-asserted source
Thibaut Delcroix via HAL

Uniform K-stability of polarized spherical varieties

Épijournal de Géométrie Algébrique
2023-03-23 | Journal article
DOI: 10.46298/epiga.2022.9959
HAL: hal-02938823
Contributors: Thibaut Delcroix
Source: Self-asserted source
Thibaut Delcroix via HAL

Examples of K-unstable Fano manifolds

Annales de l'Institut Fourier
2022-09-12 | Journal article
DOI: 10.5802/aif.3505
HAL: hal-02382866
ARXIV: 1911.08300
ARXIV: 1911.08300
Contributors: Thibaut Delcroix
Source: Self-asserted source
Thibaut Delcroix via HAL

K-stability of Fano spherical varieties

Annales scientifiques de l'École normale supérieure
2020 | Journal article
DOI: 10.24033/asens.2430
Part of ISSN: 0012-9593
Part of ISSN: 1873-2151
Source: Self-asserted source
Thibaut Delcroix

Coupled complex Monge-Ampère equations on Fano horosymmetric manifolds

Journal de Mathématiques Pures et Appliquées
2020-12 | Journal article
DOI: 10.1016/j.matpur.2020.12.002
Part of ISSN: 0021-7824
Source: Self-asserted source
Thibaut Delcroix

Ricci flat Kähler metrics on rank two complex symmetric spaces

Journal de l’École polytechnique — Mathématiques
2019 | Journal article
DOI: 10.5802/jep.91
Part of ISSN: 2270-518X
Source: Self-asserted source
Thibaut Delcroix
grade
Preferred source (of 2)‎

Kähler geometry of horosymmetric varieties, and application to Mabuchi’s K-energy functional

Journal für die reine und angewandte Mathematik (Crelles Journal)
2019-01-20 | Journal article
DOI: 10.1515/crelle-2018-0040
Part of ISSN: 0075-4102
Part of ISSN: 1435-5345
Source: Self-asserted source
Thibaut Delcroix

Log canonical thresholds on group compactifications

Algebraic Geometry
2017-03-15 | Journal article
DOI: 10.14231/ag-2017-010
Part of ISSN: 2214-2584
Source: Self-asserted source
Thibaut Delcroix

Kähler–Einstein metrics on group compactifications

Geometric and Functional Analysis
2017-02 | Journal article
DOI: 10.1007/s00039-017-0394-y
Part of ISSN: 1016-443X
Part of ISSN: 1420-8970
Source: Self-asserted source
Thibaut Delcroix

Alpha-invariant of toric line bundles

Annales Polonici Mathematici
2015 | Journal article
DOI: 10.4064/ap114-1-2
Part of ISSN: 0066-2216
Part of ISSN: 1730-6272
Source: Self-asserted source
Thibaut Delcroix

Kähler-Einstein metrics on group compactifications

2015-10-12 | Dissertation or Thesis
URI: tel-01286292
Contributors: Thibaut Delcroix
Source: Self-asserted source
Thibaut Delcroix via HAL

Les groupes de Burger-Mozes ne sont pas kählériens

Annales de la faculté des sciences de Toulouse Mathématiques
2014 | Journal article
DOI: 10.5802/afst.1399
Part of ISSN: 0240-2963
Source: Self-asserted source
Thibaut Delcroix

Peer review (3 reviews for 2 publications/grants)

Review activity for European journal of mathematics. (1)
Review activity for Manuscripta mathematica. (2)
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