2023-2024
Hugues Auvray Senior Lecturer at Paris-Saclay University
Hugues Auvray has been Maître de Conférences at Université Paris-Saclay (ex-Paris-Sud) since September 2014, and was a visiting professor at UQÀM during the 2022-2023 academic year.
He is a specialist in Riemannian and Kählerian geometry with interests in Kähler-Einstein metrics and Kähler metrics with constant scalar curvature (“Kcsc”). More precisely, his work deals on the one hand with an original construction of ALF hyperkählerian metrics using global analysis techniques, and on the other with structure theorems (uniqueness, asymptotic behavior) of complete, finite-volume Kcsc or even “extremal” metrics on the complementary of a divisor.
Beyond complex geometry (with algebraic accents), singular complex Monge-Ampère equations are at the heart of most of this work, and remain very present in Auvray’s current investigations, such as the deformation of ALF metrics up to certain critical thresholds, and the analysis of Kcsc/extreme metrics through the Chen-Cheng approach.
He is a specialist in Riemannian and Kählerian geometry with interests in Kähler-Einstein metrics and Kähler metrics with constant scalar curvature (“Kcsc”). More precisely, his work deals on the one hand with an original construction of ALF hyperkählerian metrics using global analysis techniques, and on the other with structure theorems (uniqueness, asymptotic behavior) of complete, finite-volume Kcsc or even “extremal” metrics on the complementary of a divisor.
Beyond complex geometry (with algebraic accents), singular complex Monge-Ampère equations are at the heart of most of this work, and remain very present in Auvray’s current investigations, such as the deformation of ALF metrics up to certain critical thresholds, and the analysis of Kcsc/extreme metrics through the Chen-Cheng approach.
H.A. has been a member of several ANR projects in recent years, as well as the main organizer of the Orsay Harmonic Analysis seminar in 2027-2019, and the co-organizer of various working groups, workshops and conferences. He is also the recipient of a Simons Chair in spring 2024, on the occasion of the themati