Harald Andrés Helfgott (born 25 November 1977) is a Peruvian mathematician working in

number theory Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic function, integer-valued functions. German mathematician Carl Friedrich Gauss (1777� ...

. Helfgott is a researcher ('' directeur de recherche'') at the

CNRS The French National Centre for Scientific Research (french: link=no, Centre national de la recherche scientifique, CNRS) is the French state research organisation and is the largest fundamental science agency in Europe. In 2016, it employed 31,637 ...

at the Institut Mathématique de Jussieu, Paris.

Early life and education

Helfgott was born on 25 November 1977 in

Lima Lima ( ; ), originally founded as Ciudad de Los Reyes (City of The Kings) is the capital and the largest city of Peru. It is located in the valleys of the Chillón River, Chillón, Rímac River, Rímac and Lurín Rivers, in the desert zone of t ...

, Peru. He graduated from

Brandeis University , mottoeng = "Truth even unto its innermost parts" , established = , type = Private research university , accreditation = NECHE , president = Ronald D. Liebowitz , ...

in 1998 ( BA, summa cum laude). He received his Ph.D. from

Princeton University Princeton University is a private university, private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth, New Jersey, Elizabeth as the College of New Jersey, Princeton is the List of Colonial Colleges, fourth-oldest ins ...

in 2003 under the direction of

Henryk Iwaniec Henryk Iwaniec (born October 9, 1947) is a Polish-American mathematician, and since 1987 a professor at Rutgers University. Background and education Iwaniec studied at the University of Warsaw, where he got his PhD in 1972 under Andrzej Schin ...

and

Peter Sarnak Peter Clive Sarnak (born 18 December 1953) is a South African-born mathematician with dual South-African and American nationalities. Sarnak has been a member of the permanent faculty of the School of Mathematics at the Institute for Advanced St ...

, with the thesis ''Root numbers and the parity problem''.

Career

Helfgott was a post-doctoral Gibbs Assistant Professor at

Yale University Yale University is a private research university in New Haven, Connecticut. Established in 1701 as the Collegiate School, it is the third-oldest institution of higher education in the United States and among the most prestigious in the wo ...

from 2003 to 2004. He was then a post-doctoral fellow at CRM–ISM–

Université de Montréal The Université de Montréal (UdeM; ; translates to University of Montreal) is a French-language public research university in Montreal, Quebec, Canada. The university's main campus is located in the Côte-des-Neiges neighborhood of Côte- ...

from 2004 to 2006. Helfgott was a Lecturer, Senior Lecturer, and then Reader at the

University of Bristol , mottoeng = earningpromotes one's innate power (from Horace, ''Ode 4.4'') , established = 1595 – Merchant Venturers School1876 – University College, Bristol1909 – received royal charter , type ...

from 2006 to 2011. He has been a researcher at the

since 2010, initially as a ''chargé de recherche première classe'' at the

École normale supérieure École may refer to: * an elementary school in the French educational stages normally followed by secondary education establishments (collège and lycée) * École (river), a tributary of the Seine flowing in région Île-de-France * École, S ...

before becoming a ''directeur de recherche deuxième classe'' at the Institut Mathématique de Jussieu in 2014. He was also an

Alexander von Humboldt Professor The Alexander von Humboldt Professorship is an academic prize named after Alexander von Humboldt and awarded by the Alexander von Humboldt Foundation since 2008. The prize is intended to attract internationally leading scientists from abroad to Ger ...

at the

University of Göttingen The University of Göttingen, officially the Georg August University of Göttingen, (german: Georg-August-Universität Göttingen, known informally as Georgia Augusta) is a public research university in the city of Göttingen, Germany. Founded ...

from 2015 to 2022.

Research

In 2013, he released two papers claiming to be a proof of

Goldbach's weak conjecture In number theory, Goldbach's weak conjecture, also known as the odd Goldbach conjecture, the ternary Goldbach problem, or the 3-primes problem, states that : Every odd number greater than 5 can be expressed as the sum of three primes. (A prime ma ...

; the claim is now broadly accepted. In 2017 Helfgott spotted a subtle error in the proof of the quasipolynomial time algorithm for the

graph isomorphism problem The graph isomorphism problem is the computational problem of determining whether two finite graphs are isomorphic. The problem is not known to be solvable in polynomial time nor to be NP-complete, and therefore may be in the computational compl ...

that was announced by

László Babai László "Laci" Babai (born July 20, 1950, in Budapest) a fellow of the American Academy of Arts and Sciences, and won the Knuth Prize. Babai was an invited speaker at the International Congresses of Mathematicians in Kyoto (1990), Zürich (1994, ...

in 2015. Babai subsequently fixed his proof.

Awards

In 2008, Helfgott was awarded the Leverhulme Mathematics Prize for his work on

diophantine geometry In mathematics, Diophantine geometry is the study of Diophantine equations by means of powerful methods in algebraic geometry. By the 20th century it became clear for some mathematicians that methods of algebraic geometry are ideal tools to study ...

and

group theory In abstract algebra, group theory studies the algebraic structures known as group (mathematics), groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as ring (mathematics), rings, field ...

. In June 2010, Helfgott received the

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 ...

by the London Mathematical Society for his contributions to number theory, including work on Möbius sums in two variables, integral points on

elliptic curve In mathematics, an elliptic curve is a smooth, projective, algebraic curve of genus one, on which there is a specified point . An elliptic curve is defined over a field and describes points in , the Cartesian product of with itself. If ...

s, and for his work on growth and expansion of multiplication of sets in SL₂(F_''p''). In February 2011, Helfgott was awarded the

Adams Prize The Adams Prize is one of the most prestigious prizes awarded by the University of Cambridge. It is awarded each year by the Faculty of Mathematics at the University of Cambridge and St John's College to a UK-based mathematician for distinguis ...

jointly with Tom Sanders. In August 2013, Helfgott received an Honorary Professorship from

National University of San Marcos The National University of San Marcos ( es, Universidad Nacional Mayor de San Marcos, link=no, UNMSM) is a public research university located in Lima, the capital of Peru. It is considered the most important, recognized and representative educ ...

in Lima, Peru. In 2014, he was an

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 and in 2015 he won a Humboldt Professorship. He was included in the 2019 class of fellows of the

American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...

"for contributions to

analytic number theory In mathematics, analytic number theory is a branch of number theory that uses methods from mathematical analysis to solve problems about the integers. It is often said to have begun with Peter Gustav Lejeune Dirichlet's 1837 introduction of Diric ...

additive combinatorics Additive combinatorics is an area of combinatorics in mathematics. One major area of study in additive combinatorics are ''inverse problems'': given the size of the sumset ''A'' + ''B'' is small, what can we say about the structures of A ...

and

combinatorial group theory In mathematics, combinatorial group theory is the theory of free groups, and the concept of a presentation of a group by generators and relations. It is much used in geometric topology, the fundamental group of a simplicial complex having in a nat ...

Publications

References

External links

Photographs
, July 2013. *
Videos of Harald Helfgott
in the AV-Portal of the

German National Library of Science and Technology The German National Library of Science and Technology (german: Technische Informationsbibliothek), abbreviated TIB, is the national library of the Federal Republic of Germany for all fields of engineering, technology, and the natural sciences. I ...

{{DEFAULTSORT:Helfgott, Harald Living people Whitehead Prize winners 1977 births Princeton University alumni Brandeis University alumni People from Lima Number theorists Peruvian mathematicians Fellows of the American Mathematical Society