Adrien Dubouloz
ChargĂ© de Recherches - Université de Bourgogne - CNRS
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Research Interests : Algebraic Geometry and Transformation Groups - Affine Algebraic Geometry
Automorphisms of surfaces and higher dimensional affine varieties:
Algebraic flows and additive group actions, locally nilpotent derivations.
Invariant Theory of unipotent algebraic groups.
Infinite dimensional algebraic groups and ind-schemes.
Geometry and Topology of real and complex algebraic varieties:
Exotic Algebraic Structures on Euclidean spaces and Spheres.
Zariski Cancellation Problems for fiber bundles.
Étale endomorphisms of acyclic surfaces in relation to the Jacobian Conjecture.
Higher dimensional Logarithmic Birational Geometry:
Log-uniruled and affine-ruled varieties.
Birational rigidity in the context of affine varieties.
Keywords:
Algebraic groups, Additive group schemes and torsors, Locally nilpotent derivations, Affine modifications, Exotic structures, Cancellation Problem, Automorphism groups, Makar-Limanov invariant, Danielewski surfaces, Minimal Model Program, Sarkisov Program.