André da Silva Graça Arroja Neves (born 1975,

Lisbon Lisbon (; pt, Lisboa ) is the capital and largest city of Portugal, with an estimated population of 544,851 within its administrative limits in an area of 100.05 km2. Grande Lisboa, Lisbon's urban area extends beyond the city's administr ...

) is a Portuguese mathematician and a professor at the

University of Chicago The University of Chicago (UChicago, Chicago, U of C, or UChi) is a private research university in Chicago, Illinois. Its main campus is located in Chicago's Hyde Park neighborhood. The University of Chicago is consistently ranked among the b ...

. He joined the faculty of the University of Chicago in 2016. In 2012, jointly with

Fernando Codá Marques Fernando Codá dos Santos Cavalcanti Marques (born 8 October 1979) is a Brazilian mathematician working mainly in geometry, topology, partial differential equations and Morse theory. He is a professor at Princeton University. In 2012, together ...

, he solved the

Willmore conjecture In differential geometry, the Willmore conjecture is a lower bound on the Willmore energy of a torus. It is named after the English mathematician Tom Willmore, who conjectured it in 1965. A proof by Fernando Codá Marques and André Neves was ...

. Neves received his Ph.D. in 2005 from

Stanford University Stanford University, officially Leland Stanford Junior University, is a private research university in Stanford, California. The campus occupies , among the largest in the United States, and enrolls over 17,000 students. Stanford is consider ...

under the direction of Richard Melvin Schoen.

Contributions

Jointly with Hugh Bray, they computed the

Yamabe invariant In mathematics, in the field of differential geometry, the Yamabe invariant, also referred to as the sigma constant, is a real number invariant associated to a smooth manifold that is preserved under diffeomorphisms. It was first written down indep ...

\R \mathbb^3

. In 2012, jointly with

, they solved the

( Thomas Willmore, 1965). In the same year, jointly with

Ian Agol Ian Agol (born May 13, 1970) is an American mathematician who deals primarily with the topology of three-dimensional manifolds. Education and career Agol graduated with B.S. in mathematics from the California Institute of Technology in 1992 and ...

and Fernando Codá Marques, they solved the Freedman–He–Wang conjecture (

Freedman A freedman or freedwoman is a formerly enslaved person who has been released from slavery, usually by legal means. Historically, enslaved people were freed by manumission (granted freedom by their captor-owners), emancipation (granted freedom a ...

–He–Wang, 1994). In 2017, jointly with Kei Irie and Fernando Codá Marques, they solved

Yau's conjecture In differential geometry, Yau's conjecture from 1982, is a mathematical conjecture which states that a closed Riemannian 3-manifold has an infinite number of smooth closed immersed minimal surfaces. It is named after Shing-Tung Yau. It was the ...

(formulated by

Shing-Tung Yau Shing-Tung Yau (; ; born April 4, 1949) is a Chinese-American mathematician and the William Caspar Graustein Professor of Mathematics at Harvard University. In April 2022, Yau announced retirement from Harvard to become Chair Professor of mathem ...

in 1982) in the

generic Generic or generics may refer to: In business * Generic term, a common name used for a range or class of similar things not protected by trademark * Generic brand, a brand for a product that does not have an associated brand or trademark, other ...

case.

Honors and awards

He was awarded the

Philip Leverhulme Prize The Philip Leverhulme Prize is awarded by the Leverhulme Trust to recognise the achievement of outstanding researchers whose work has already attracted international recognition and whose future career is exceptionally promising. The prize schem ...

in 2012, the

LMS LMS may refer to: Science and technology * Labeled magnitude scale, a scaling technique * Learning management system, education software * Least mean squares filter, producing least mean square error * Leiomyosarcoma, a rare form of cancer * Lenz ...

Whitehead Prize The Whitehead Prize is awarded yearly by the London Mathematical Society to multiple mathematicians working in the United Kingdom who are at an early stage of their career. The prize is named in memory of homotopy theory pioneer J. H. C. Whiteh ...

in 2013,

invited speaker at the International Congress of Mathematicians This is a list of International Congresses of Mathematicians Plenary and Invited Speakers. Being invited to talk at an International Congress of Mathematicians has been called "the equivalent, in this community, of an induction to a hall of fame." ...

in Seoul in 2014, and the

Royal Society Wolfson Research Merit Award The Royal Society Wolfson Research Merit Award was an award made by the Royal Society from 2000 to 2020. It was administered by the Royal Society and jointly funded by the Wolfson Foundation and the UK Office of Science and Technology, to provide ...

in 2015. In November 2015 he was awarded a New Horizons in Mathematics Prize in November 2015, "for outstanding contributions to several areas of

differential geometry Differential geometry is a mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds. It uses the techniques of differential calculus, integral calculus, linear algebra and multili ...

, including work on

scalar curvature In the mathematical field of Riemannian geometry, the scalar curvature (or the Ricci scalar) is a measure of the curvature of a Riemannian manifold. To each point on a Riemannian manifold, it assigns a single real number determined by the geometry ...

geometric flow In the mathematical field of differential geometry, a geometric flow, also called a geometric evolution equation, is a type of partial differential equation for a geometric object such as a Riemannian metric or an embedding. It is not a term with ...

s, and his solution with Codá Marques of the 50-year-old

Willmore Conjecture In differential geometry, the Willmore conjecture is a lower bound on the Willmore energy of a torus. It is named after the English mathematician Tom Willmore, who conjectured it in 1965. A proof by Fernando Codá Marques and André Neves was ...

." Jointly with

he was awarded the 2016

Oswald Veblen Prize in Geometry __NOTOC__ The Oswald Veblen Prize in Geometry is an award granted by the American Mathematical Society for notable research in geometry or topology. It was founded in 1961 in memory of Oswald Veblen. The Veblen Prize is now worth US$5000, and is ...

. In 2018 he received a

Simons Investigator Award The Simons Foundation is a private foundation established in 1994 by Marilyn and James Harris Simons, Jim Simons with offices in New York City. As one of the largest charitable organizations in the US with assets of over $5 billion in 2022, the ...

. He was elected fellow of the American Academy of Arts and Sciences (AAAS) in 2020.

References

External links

André Neves's home page
21st-century Portuguese mathematicians Living people 1975 births People from Lisbon Differential geometers Whitehead Prize winners Expatriate academics in the United Kingdom Stanford University alumni Instituto Superior Técnico alumni Academics of Imperial College London University of Chicago faculty Princeton University faculty Fellows of the American Academy of Arts and Sciences {{Europe-mathematician-stub