Thierry Aubin (6 May 1942 – 21 March 2009) was a French mathematician who worked at the Centre de Mathématiques de Jussieu, and was a leading expert on Riemannian geometry
and non-linear partial differential equations.
His fundamental contributions to the theory of the Yamabe equation led, in conjunction with
results of Trudinger and Schoen, to a proof of the Yamabe Conjecture: every compact Riemannian manifold
can be conformally rescaled to produce a manifold of constant scalar curvature.
Along with Yau, he also showed
that Kähler manifolds with negative first Chern classes always admit Kähler–Einstein metrics, a result closely related to the Calabi conjecture.
The latter result provides the largest class of known examples of compact Einstein manifolds.
Aubin was the first mathematician to propose the Cartan–Hadamard conjecture.
Aubin was a visiting scholar at the Institute for Advanced Study in 1979.
He was elected to the Académie des sciences in 2003.