André da Silva Graça Arroja Neves (born 1975,

Lisbon Lisbon ( ; ) is the capital and largest city of Portugal, with an estimated population of 567,131, as of 2023, within its administrative limits and 3,028,000 within the Lisbon Metropolitan Area, metropolis, as of 2025. Lisbon is mainlan ...

) is a Portuguese

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...

and a professor at the

University of Chicago The University of Chicago (UChicago, Chicago, or UChi) is a Private university, private research university in Chicago, Illinois, United States. Its main campus is in the Hyde Park, Chicago, Hyde Park neighborhood on Chicago's South Side, Chic ...

. He joined the faculty of the University of Chicago in 2016. In 2012, jointly with Fernando Codá Marques, 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 Leland Stanford Junior University, commonly referred to as Stanford University, is a Private university, private research university in Stanford, California, United States. It was founded in 1885 by railroad magnate Leland Stanford (the eighth ...

under the direction of Richard Melvin Schoen.

Contributions

Jointly with Hugh Bray, he computed the Yamabe invariant of

\R \mathbb^3

. In 2012, jointly with Fernando Codá Marques, he solved the

(

Thomas Willmore Thomas James Willmore (16 April 1919 – 20 February 2005) was an English geometrist. He is best known for his work on Riemannian 3-space and harmonic spaces. Willmore studied at King's College London. After his graduation in 1939, he was ap ...

, 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 a ...

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

Freedman A freedman or freedwoman is a person who has been released from slavery, usually by legal means. Historically, slaves were freed by manumission (granted freedom by their owners), emancipation (granted freedom as part of a larger group), or self- ...

–He–Wang, 1994). In 2017, jointly with Kei Irie and Fernando Codá Marques, he solved Yau's conjecture (formulated by

Shing-Tung Yau Shing-Tung Yau (; ; born April 4, 1949) is a Chinese-American mathematician. He is the director of the Yau Mathematical Sciences Center at Tsinghua University and professor emeritus at Harvard University. Until 2022, Yau was the William Caspar ...

in 1982) in the generic 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 sche ...

in 2012, the LMS

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. Whitehe ...

in 2013,

invited speaker at the International Congress of Mathematicians An invitation system is a method of encouraging people to join an organization, such as a Club (organization), club or a website. In regular society, it refers to any system whereby new members are chosen; they cannot simply apply. In relation to w ...

in Seoul in 2014, and the

Royal Society Wolfson Research Merit Award The Royal Society Wolfson Fellowship, known as the Royal Society Wolfson Research Merit Award until 2020, is a 5 years fellowship awarded by the Royal Society since 2000. The scheme is described by the Royal Society as providing ''long-term flexib ...

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 Mathematics, mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds. It uses the techniques of Calculus, single variable calculus, vector calculus, lin ...

, 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 a ...

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 Fernando Codá Marques 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 funded in 1961 in memory of Oswald Veblen and first issued in 1964. The Veblen Prize is n ...

. In 2018 he received a

Simons Investigator Award The Simons Foundation is an American private foundation established in 1994 by Marilyn and Jim Simons with offices in New York City. As one of the largest charitable organizations in the United States 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
{{DEFAULTSORT:Neves, Andre 21st-century Portuguese mathematicians Living people 1975 births Academics 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