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Gustave BILLON     

Post-doc at Institut de Recherche Mathématique Avancée (IRMA)
CNRS UMR 7501, University of Strasbourg.

• Email : prenom.nom@math.unistra.fr
• Office : I-009 in the IRMA building

I am a member of the team Arithmetic and Algebraic Geometry .
More information can be found in my CV

• Complex projective structures
• Opers
• Moduli spaces
• Complex geometry
• (G, X)-structures
• Cartan geometries

• Moduli Spaces of Branched Opers on Riemann Surfaces

• Moduli spaces of marked branched projective structures on surfaces. Journal de l'École polytechnique. 2024.
• Branched Projective Structures and Bundles of Projective Frames on Surfaces (submitted)

• My PhD thesis, under the supervision of Sorin Dumitrescu at Côte d'Azur University : Moduli spaces of branched projective structures
• My master's thesis, supervised by Sorin Dumitrescu at Côte d'Azur University (in French) : Around holomorphic projective structures
• A dissertation written in M2, supervised by Frank Loray, at Rennes 1 University (in French) : Compact leaves of codimension 1 holomorphic foliations
• A dissertation written in M1, supervised by Gye-Seon Lee at Heidelberg University : Pseudomodular Surfaces
• A dissertation written in M1, supervised by Charles Favre, at École Polytechnique (in French) : The Berkovich affine line
• A dissertation written in M1, supervised by Sébastien Boucksom, at École Polytechnique (in French) : A proof of the de Rham theorem through sheaf cohomology
• A dissertation of history of sciences written in M1, supervised by Frédéric Brechenmacher, at École Polytechnique (in French) : Gaspard de Prony's course at École Polytechnique

• Organizer of the PhD colloquium of LJAD, 2022 (with Dahmane Dechicha and Thanos Vasileiadis)
• Organizer of the reading seminar "Deformations of complex structures", 2022

• Workshop "Geometric Structures and Foliations" at CIRM (Marseille), October 2021 : Branched Projective Structures and Branched Projective Frame Bundles
• Tassili Sunday Maths Seminar, November 2022 Deformations of Holomorphic Branched Projective Structures on Riemann Surfaces Part 1, Part 2
• Conference "Algebraic geometry and complex geometry at CIRM (Marseille), November 2022 Deformations of Holomorphic Branched Projective Structures on Riemann Surfaces
• Analytic geometry seminar, IRMAR (Rennes), February 2023 Deformations of holomorphic branched projective structures on Riemann surfaces
• Workshop "ANR Geometry and Analysis in the Pseudo-Riemannian Setting", LJAD (Nice), February 2023 Deformations of Branched Projective Structures on Riemann Surfaces
• Seminar of Algebra, Topology and Geometry, LJAD (Nice), March 2023 The Moduli Space of Holomorphic Branched Projective Structures
• Seminar Dynamical Systems and Geometry, LAREMA (Angers), March 2023 The Moduli Space of Marked Branched Projective Structures
• Seminar of Geometry, Groups and Dynamics, UMPA (EN Lyon), April 2023 The Moduli Space of Marked Branched Projective Structures on Riemann Surfaces
• Mercator Workshop, Universität Heidelberg (Heidelberg), July 2023 Moduli Spaces of Marked Branched Projective Structures on Riemann Surfaces
• Seminar of Geometry, IRMA (Strasbourg), July 2023 Moduli Spaces of Marked Branched Projective Structures on Riemann Surfaces
• Brazil-France school on foliation theory, February 2024 Moduli Spaces of Branched Projective Structures
• Conference "Algebraic geometry and complex geometry at CIRM (Marseille), November 2024 Moduli Spaces of Branched Projective Structures Video

• Reading seminar about hyperkähler manifolds, October 2020 : The Bogomolov-Tian-Todorov theorem
• LJAD PhD colloquium, April 2021 : Projective Structures and Uniformization of Riemann Surfaces
• Reading seminar about harmonic maps, geometric structures and Higgs bundles, November 2021 : Holomorphic projective structures
• Reading seminar about the birational geometry of foliations on algebraic surfaces, November 2021 Riccati foliations
• Reading seminar about the birational geometry of foliations on algebraic surfaces, February 2021 The Castelnuovo de Franchis theorem and the Jouanolou theorem
• LJAD PhD seminar, February 2022 Branched projective structures on Riemann surfaces
• Reading seminar about deformations of complex manifolds, December 2022 The Kuranishi theorem
• LJAD PhD colloquium, May 2023 Meromorphic maps and Maxwell's equations
• Reading seminar about the Hodge theory of projective morphisms, September 2023 Lefschetz hyperplane theorem, hard Lefschetz theorem and Hodge-Riemann bilinear relations
• Reading seminar about algebraic stacks, December 2023 Categories Fibered in Groupoids
• Sem'in of IRMA, February 2024 Differential equations an uniformization of surfaces
• Reading seminar about the Lawrence-Venkatesh method, April 2024 Big monodromy of the Kodaira-Parshin family
• Matheor Days, July 2024 Existence of Meromorphic Forms on Surfaces