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I am interested in finding metrics on complex fibre bundles with a special curvature form. It boils down to finding necessary and sufficient conditions for an elliptic PDE to admit a solution. During my PhD thesis at the University of Western Britanny under the direction of Carl Tipler, I worked on smooth objects (complex manifolds, vector bundles, etc.).
As a post-doctoral student under the supervision of Lars Martin Sektnan at the University of Gothenburg, I am now interested in the same problem with singular objects (analytic spaces, coherent sheaves, etc.).
Email: remi.delloque@chalmers.se
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Key words: Geometric partial differential equations, perturbative techniques, special connections on complex bundles, moment maps, geometric invariant theory.
Talks about perturbation of P-critical bundles:
24/09/2026: KASS seminar in Gothenburg (Sweden)
09/01/2026: Geometry seminar in Nantes (France)
25/11/2025: Geometry seminar of SISSA in Trieste (Italy)
23/10/2025: PAMPERS seminar in Rennes (France)
17/06/2025: MARGE3 workshop in Brest (France)
Talks about continuity of Hermitian Yang-Mills connections with respect to metric variations:
29/11/2024: Kähler and non-Archimedean geometry workshop in Lyon (France)
12/09/2024: KASS seminar in Gotheburg (Sweden)
23-24/05/2024: Quimpériodique seminar in Quimper (France) (poster in French)
22-25/04/2024: Lebesgues doctoral meeting in Angers (France) (poster in French)
05/04/2024: Seminar of geometry and topology in Brest (France)