Peter Scholze

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Peter Scholze
Peter Scholze (cropped).jpg
Scholze in 2014
Born (1987-12-11) 11 December 1987 (age 34)
Alma materUniversity of Bonn
Known forIntroduction of perfectoid spaces and diamonds

Prismatic cohomology

Condensed mathematics

Geometrization of the local Langlands conjectures
AwardsPrix and Cours Peccot (2012)
SASTRA Ramanujan Prize (2013)
Clay Research Award (2014)
Cole Prize (2015)
Fermat Prize (2015)
Ostrowski Prize (2015)
EMS Prize (2016)
Leibniz Prize (2016)
Berlin-Brandenburg Academy Award (2016)
Fields Medal (2018)
Scientific career
Arithmetic geometry
Algebraic geometry
Algebraic number theory
InstitutionsUniversity of Bonn
Max Planck Institute for Mathematics
Academy of Sciences Leopoldina
University of California, Berkeley
Clay Mathematics Institute
ThesisPerfectoid Spaces (2011)
Doctoral advisorMichael Rapoport[1]

Peter Scholze (German pronunciation: [ˈpeːtɐ ˈʃɔlt͡sə] (listen); born 11 December 1987[2]) is a German mathematician known for his work in arithmetic geometry. He has been a professor at the University of Bonn since 2012 and director at the Max Planck Institute for Mathematics since 2018. He has been called one of the leading mathematicians in the world.[3][4][5][6] He won the Fields Medal in 2018, which is regarded as the highest professional honor in mathematics.[7][8][9]

Early life and education[edit]

Scholze was born in Dresden and grew up in Berlin.[10] His father is a physicist, his mother a computer scientist, and his sister studied chemistry.[11] He attended the Heinrich-Hertz-Gymnasium [de] in Berlin-Friedrichshain, a gymnasium devoted to mathematics and science.[12] As a student, Scholze participated in the International Mathematical Olympiad, winning three gold medals and one silver medal.[13]

He studied at the University of Bonn and completed his bachelor's degree in three semesters and his master's degree in two further semesters.[14] He obtained his Ph.D. in 2012 under the supervision of Michael Rapoport.[1]


From July 2011 until 2016, Scholze was a Research Fellow of the Clay Mathematics Institute in New Hampshire.[15] In 2012, shortly after completing his PhD, he was made full professor at the University of Bonn, becoming at the age of 24 the youngest full professor in Germany.[3][14][16][17] In Fall 2014, Scholze was appointed the Chancellor's Professor at University of California, Berkeley, where he taught a course on p-adic geometry.[18][19] In 2018, Scholze was appointed as a director of the Max Planck Institute for Mathematics in Bonn.[20]


Scholze's work has concentrated on purely local aspects of arithmetic geometry such as p-adic geometry and its applications. He presented in a more compact form some of the previous fundamental theories pioneered by Gerd Faltings, Jean-Marc Fontaine and later by Kiran Kedlaya. His PhD thesis on perfectoid spaces[21] yields the solution to a special case of the weight-monodromy conjecture.[22]

Scholze and Bhargav Bhatt have developed a theory of prismatic cohomology, which has been described as progress towards motivic cohomology by unifying singular cohomology, de Rham cohomology, ℓ-adic cohomology, and crystalline cohomology.[23][24]

Scholze and Dustin Clausen proposed a program for condensed mathematics—a project to unify various mathematical subfields, including topology, geometry, functional analysis and number theory.


In 2012, he was awarded the Prix and Cours Peccot.[25] He was awarded the 2013 SASTRA Ramanujan Prize.[26] In 2014, he received the Clay Research Award.[27] In 2015, he was awarded the Frank Nelson Cole Prize in Algebra,[28] and the Ostrowski Prize.[29][30]

He received the Fermat Prize 2015 from the Institut de Mathématiques de Toulouse.[31] In 2016, he was awarded the Leibniz Prize 2016 by the German Research Foundation.[32] He declined the $100,000 "New Horizons in Mathematics Prize" of the 2016 Breakthrough Prizes.[33] His turning down of the prize received little media attention.[34]

In 2017 he became a member of the German Academy of Sciences Leopoldina.[35]

In 2019, Scholze received the Great Cross of Merit of the Order of Merit of the Federal Republic of Germany.[36][37][38]

In 2022 he became a foreign member of the Royal Society[39] and was awarded the Pius XI Medal from the Pontifical Academy of Sciences.[40]

Fields Medal[edit]

In 2018, at thirty years old, Scholze, who was at the time serving as a mathematics professor at the University of Bonn, became one of the youngest mathematicians ever to be awarded the Fields Medal[41][42] for "transforming arithmetic algebraic geometry over p-adic fields through his introduction of perfectoid spaces, with application to Galois representations, and for the development of new cohomology theories".[43]

Personal life[edit]

Scholze is married to a fellow mathematician[44] and has a daughter.[45]

See also[edit]


  1. ^ a b Peter Scholze at the Mathematics Genealogy Project.
  2. ^ "Prof. Dr. Peter Scholze". Hausdorff Center for Mathematics. Archived from the original on 26 April 2017. Retrieved 1 August 2018.
  3. ^ a b "Mathematiker Peter Scholze (24) nimmt Ruf nach Bonn an – als jüngster deutscher W3-Professor". Informationsdienst Wissenschaft (in German). 15 October 2012. Retrieved 1 August 2018.
  4. ^ "Leibniz Prize 2016: Professor Dr. Peter Scholze". Deutsche Forschungsgemeinschaft. Retrieved 1 August 2018.
  5. ^ Klarreich, Erica (1 August 2018). "A Master of Numbers and Shapes Who Is Rewriting Arithmetic". Quanta Magazine. Retrieved 2 August 2018.
  6. ^ Kaschel, Helena (23 July 2016). "Don't call me a prodigy: the rising stars of European mathematics". Deutsche Welle. Retrieved 2 August 2018.
  7. ^ Ball, Philip (12 August 2014). "Iranian is first woman to nab highest prize in maths". Nature. doi:10.1038/nature.2014.15686. S2CID 180573813. Retrieved 4 November 2018.
  8. ^ "Fields Medal". School of Mathematics and Statistics – University of St Andrews, Scotland. Retrieved 29 March 2018.
  9. ^ "Fields Medal". The University of Chicago. Retrieved 29 March 2018.
  10. ^ "Zwei Forscher der Uni Bonn erhalten den Leibniz-Preis" (in German). Rheinische Friedrich-Wilhelms-Universität Bonn. 10 December 2015. Retrieved 1 August 2018. Peter Scholze wurde 1987 in Dresden geboren und wuchs auf in Berlin.
  11. ^ Centre International de Rencontres Mathématiques (29 June 2015). "Interview at CIRM: Peter Scholze". YouTube. Retrieved 23 December 2018.
  12. ^ "Mit ihm kann man rechnen". Der Tagesspiegel (in German). 3 August 2005. Retrieved 1 August 2018.
  13. ^ Dolinar, Gregor. "International Mathematical Olympiad". International Mathematical Olympiad. Retrieved 1 August 2018.
  14. ^ a b "Mathe-Genie: 24-Jähriger wird Deutschlands jüngster Professor". Spiegel Online (in German). 16 October 2012. Retrieved 1 August 2018.
  15. ^ "Peter Scholze". Clay Mathematics Institute. Retrieved 1 August 2018.
  16. ^ "Peter Scholze ist erst 24 Jahre alt: Mathe-Genie wird Deutschlands jüngster Professor". Bild (in German). 15 October 2012. Retrieved 1 August 2018.
  17. ^ Harmsen, Torsten (15 October 2012). "Hochschule: Mathematikgenie aus Berlin". Berliner Zeitung (in German). Retrieved 1 August 2018.
  18. ^ "Peter Scholze". Department of Mathematics at University of California Berkeley. Retrieved 1 August 2018.
  19. ^ Scholze, Peter; Weinstein, Jared (October 2018). "Berkeley lectures on p-adic geometry" (PDF). University of Bonn. Retrieved 4 November 2018.
  20. ^ "Peter Scholze new director at the Max Planck Institute for Mathematics". Max Planck Institute for Mathematics. 2 July 2018. Retrieved 11 July 2018.
  21. ^ Scholze, Peter (November 2012). "Perfectoid Spaces". Publications Mathématiques de l'IHÉS. 116 (1): 245–313. doi:10.1007/s10240-012-0042-x. S2CID 15227588.
  22. ^ Scholze, Peter. "Perfectoid spaces: A survey" (PDF). University of Bonn. Retrieved 4 November 2018.
  23. ^ Sury, B. (2019). "ICM Awards 2018". Resonance. 24 (5): 597–605. doi:10.1007/s12045-019-0813-5. ISSN 0971-8044. S2CID 199675280.
  24. ^ Tao, Terence (19 March 2019). "Prismatic cohomology". Terence Tao's blog. Retrieved 21 March 2021.
  26. ^ "Peter Scholze to receive 2013 Sastra Ramanujan Prize". Shanmugha Arts, Science, Technology & Research Academy. Retrieved 1 August 2018.
  27. ^ "2014 Clay Research Awards". Clay Mathematics Institute. 14 July 2014. Retrieved 1 August 2018.
  28. ^ "Peter Scholze to Receive 2015 AMS Cole Prize in Algebra". American Mathematical Society. 4 December 2014. Retrieved 1 August 2018.
  29. ^ "The prize and the prize winners". Ostrowski Foundation. Retrieved 1 August 2018.
  30. ^ "Ostrowski Prize 2015: Peter Scholze" (PDF). Ostrowski Foundation. Retrieved 1 August 2018.
  31. ^ "Lauréats du Prix Fermat" (in French). Institut de Mathématiques de Toulouse. Retrieved 1 August 2018.
  32. ^ "Leibniz Prizes 2016: DFG Honours Ten Researchers". Deutsche Forschungsgemeinschaft. 10 December 2015. Retrieved 3 January 2016.
  33. ^ "2016 Breakthrough Prizes". Retrieved 15 November 2015.
  34. ^ Woit, Peter (9 November 2015). "2016 Breakthrough Prizes". Not Even Wrong. Department of Mathematics at Columbia University. Retrieved 3 August 2018.
  35. ^ "Peter Scholze". German Academy of Sciences Leopoldina. Retrieved 26 May 2021.
  36. ^ "Bundesverdienstkreuz (Great Cross of Merit) for Peter Scholze". Max Planck Institute for Mathematics. 15 October 2019. Retrieved 2 April 2020.
  37. ^ "Bekanntgabe vom 1. Oktober 2019" (in German). Bundespräsidialamt. Retrieved 2 April 2020.
  38. ^ "Peter Scholze erhält das "Große Verdienstkreuz"" (in German). Hausdorff Center for Mathematics. 2 October 2019. Retrieved 2 April 2020.
  39. ^ "Peter Scholze". The Royal Society.
  40. ^ "Pius XI-Medaille an Peter Scholze verliehen". University of Bonn (in German). 9 September 2022.
  41. ^ Chang, Kenneth (1 August 2018). "Fields Medals Awarded to 4 Mathematicians". The New York Times. Retrieved 1 August 2018.
  42. ^ Dambeck, Holger (1 August 2018). "Fields-Medaille: Peter Scholze bekommt weltweit höchste Auszeichnung für Mathematiker". Spiegel Online (in German). Retrieved 1 August 2018.
  43. ^ "Fields Medals 2018". International Mathematical Union. Retrieved 2 August 2018.
  44. ^ Schmundt, Hilmar (23 April 2016). "Bildung: Lieber Mathe als Rockband". Der Spiegel (in German). Retrieved 15 August 2018.
  45. ^ Klarreich, Erica (28 June 2016). "The Oracle of Arithmetic". Quanta Magazine. Retrieved 15 August 2018.

External links[edit]