André Neves (mathematician)

André Arroja Neves

André Arroja Neves (* 1975 in Lisbon ) is a Portuguese mathematician who deals with differential geometry , partial differential equations and geometric analysis.

Neves studied mathematics at the Instituto Superior Técnico in Lisbon with a licentiate in 1999 and from 2000 at Stanford University , where he received his doctorate in 2005 with Richard Schoen (Singularities of Lagrangian Mean Curvature Flow). As a post-doctoral student , he was an instructor at Princeton University from 2005 to 2007 and then an assistant professor. In 2009 he became a lecturer , 2012 reader and 2013 professor at Imperial College London . He has been at the University of Chicago since 2016 .

Neves is known for proving the Willmore conjecture with Fernando Codá Marques (2012). It gives a lower limit for the Willmore energy for smoothly immersed tori and was established by Thomas Willmore in 1965. They used the Min-Max theory of minimal surfaces by Frederick J. Almgren and Jon Pitts. ${\displaystyle \mathbb {R} ^{3}}$

In 2013 he received the Whitehead Prize . For 2016, he and Larry Guth received the New Horizons in Mathematics Prize , whereby, in addition to solving the Willmore conjecture, work on scalar curvature and geometric flows was highlighted. He was also awarded the Oswald Veblen Prize for 2016. In 2014 he received the Wolfson Merit Award from the Royal Society , in 2012 the Philip Leverhulme Prize and an ERC Starting Grant. In 2020 Neves was elected to the American Academy of Arts and Sciences .

In 2014 he was invited speaker at the International Congress of Mathematicians in Seoul (New applications in Min-Max theory).

He is editor of Communications in Analysis and Geometry .

Fonts

• with Hubert Bray : Classification of prime 3-manifolds with Yamabe invariant greater than , Annals of Mathematics, Volume 159, 2004, pp. 407-424 ${\displaystyle \mathbb {R} P^{3}}$
• with K. Akutagawa: Classification of all 3-manifolds with Yamabe invariant greater than , J. Diff. Geom., Vol. 75, 2007, pp. 359-386 ${\displaystyle \mathbb {R} P^{3}}$
• Singularities of Lagrangian mean-curvature flow: zero Maslov class case, Inventiones Mathematicae, Volume 168, 2007, pp. 449-48
• with Gang Tian : Existence and uniqueness of constant mean curvature foliation of asymptotically hyperbolic 3-manifolds, part 1,2, Geom. Funct. Analysis, Volume 19, 2009, pp. 910-942, J. Reine Angew. Math., Volume 641, 2010, pp. 69-93
• with Simon Brendle , FC Marques: Deformations of the hemisphere that increase scalar curvature, Inventiones Mathematicae, Volume 185, 2011, pp. 175-197
• with JD Lotay: Uniqueness of Lagrangian self-expanders, Geom. Topology, Volume 17, 2013, pp. 2689-2729
• with FC Marques: Min-max theory and the Willmore conjecture, Annals of Mathematics, Volume 179, 2014, pp. 683-782, Arxiv
• with FC Marques: Min-max theory, Willmore conjecture and the energy of links, Bulletin of the Brazilian Mathematical Society, Volume 44, 2013, pp. 681-707
• Recent progress on singularities of Lagrangian mean curvature flow, Surveys in Geometric Analysis and Relativity, ALM 20, 2011, pp. 413-436
• with FC Marques: Rigidity of min-max minimal spheres in three-manifolds, Duke Math. J., Volume 161, 2012, pp. 2725-2752
• Finite time singularities for Lagrangian mean curvature flow, Annals of Mathematics, Volume 177, 2013, pp. 1029-1076
• with Gang Tian : Non-existence of almost calibrating translating solutions to Lagrangian mean curvature flow, Transactions of the American Mathematical Society, Volume 365, 2013, pp. 5655-5680
• with Ian Agol , FC Marques: Min-max theory and the energy of links, Arxiv, Preprint 2012
• with FC Marques: The Willmore Conjecture, Annual Report DMV, Volume 116, Issue 4, 2014, pp. 201–222

Web links

Commons : André Neves  - collection of images, videos and audio files

• Homepage at the University of Chicago

Individual evidence

1. ↑ André Neves in the Mathematics Genealogy Project (English)