Harald Helfgott

Harald Andrés Helfgott (born November 25, 1977) is a Peruvian mathematician born in Lima.[1] His main areas of research are number theory and related topics. Helfgott is a researcher (Directeur de Recherche) at the CNRS at the Institut Mathématique de Jussieu, Paris.[3] As of 2015 he is an Alexander von Humboldt Professor at the University of Göttingen.[4]

Harald Andrés Helfgott
Lecturing at IPAM in May 2014
Born (1977-11-25) 25 November 1977
Lima, Peru
Alma materBrandeis University (BA)
Princeton University (PhD)
AwardsLeverhulme Prize (2008)
Whitehead Prize (2010)
Adams Prize (2011)
Humboldt Professorship (2015)
Scientific career
FieldsMathematics
InstitutionsCNRS/Université de Paris VI/VII
University of Göttingen
Doctoral advisorHenryk Iwaniec[1][2]
Peter Sarnak[2]

Biography

Helfgott became active early on in the mathematical community in Lima, his home city.[5] He graduated from Brandeis University in 1998 (BA, summa cum laude).[6] He received his Ph.D. from Princeton University in 2003 under the direction of Henryk Iwaniec[6][7] (and Peter Sarnak),[7] with the thesis Root numbers and the parity problem.[8]

He has given extracurricular courses in Peru, Cuba, Brazil, India, Bolivia, Switzerland and Chile,[6][9] and co-organized summer schools in India[6] and Brazil.[10]

Work

In 2013, he released two papers claiming to be a proof of Goldbach's weak conjecture; the claim is now broadly accepted.[11] The problem had a history of over 250 years without a full proof.

In 2017 Helfgott spotted a subtle error in the proof of the Graph isomorphism problem that was announced by László Babai in 2015. Babai subsequently fixed his proof.[12]

Awards

In 2008, Helfgott was awarded the Leverhulme Mathematics Prize for his work on number theory, diophantine geometry and group theory.[13][14]

In June 2010, Helfgott received the Whitehead Prize by the London Mathematical Society for his contributions to number theory, including work on Möbius sums in two variables, integral points on elliptic curves, and for his work on growth and expansion of multiplication of sets in SL2(Fp).[15]

In February 2011, Helfgott was awarded the Adams Prize jointly with Tom Sanders.[16]

In August 2013, Helfgott received an Honorary Professorship from National University of San Marcos in Lima, Peru.[17]

In 2014, he was an invited speaker at the International Congress of Mathematicians in Seoul[18] and in 2015 he won a Humboldt Professorship.[11]

He was included in the 2019 class of fellows of the American Mathematical Society "for contributions to analytic number theory, additive combinatorics and combinatorial group theory".[19]

Publications
  • "Zentralblatt MATH".
  • "ArXiv".
gollark: <@435756251205468160> esowiki lag
gollark: Esolang idea: OOP malbolge.
gollark: Esolang idea: all your code must be design patterns.
gollark: ```++: Increment the accumulator twice, and instantiate an object of a new sub class of the generic super class. Due to the best principles of object hiding, this object cannot be accessed in any way.```
gollark: <@435756251205468160> esowiki HQ9++

See also

References
  1. Harald Helfgott. "Harald Andrés Helfgott – Vita" (PDF).
  2. Harald Helfgott at the Mathematics Genealogy Project
  3. "Harald Andrés Helfgott".
  4. "Information for the Media - Georg-August-Universität Göttingen".
  5. Random Curves: Journeys of a Mathematician
  7. "Harald Helfgott - the Mathematics Genealogy Project".
  8. Helfgott, Harald (2003). "Root numbers and the parity problem". arXiv:math.NT/0305435. Cite journal requires |journal= (help)
  10. ":: AGRA: Aritmética, grupos y análisis . Mathematical research on DYNAMICAL SYSTEMS in Chile".
  11. "Harald Andrés Helfgott".
  12. Erika Klarreich, Graph Isomorphism Vanquished — Again, Quanta Magazine, January 14, 2017 see here
  13. The Leverhulme Trust. "Philip Leverhulme Prizes 2008".
  14. Times Higher Education (2009-01-08). "Grant winners".
  15. London Mathematical Society. "Prize Winners 2010".
  16. (reprinted from a University of Cambridge announcement). "Helfgott and Sanders Awarded Adams Prize" (PDF). Notices of the American Mathematical Society. AMS. 58 (7): 966.
  17. National University of San Marcos. "San Marcos: la cuna de las matemáticas en el Perú".
  18. "Archived copy". Archived from the original on 2014-11-06. Retrieved 2014-10-26.CS1 maint: archived copy as title (link)
  19. 2019 Class of the Fellows of the AMS, American Mathematical Society, retrieved 2018-11-07
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