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Peter Scholze

From Wikipedia, the free encyclopedia
German mathematician (born 1987)
Not to be confused withPeter Scholz.

Peter Scholze
Scholze in Berkeley, 2014
Born (1987-12-11)11 December 1987 (age 38)
Alma materUniversity of Bonn
Known for
Children1
Awards
Scientific career
Fields
Institutions
ThesisPerfectoid Spaces (2011)
Doctoral advisorMichael Rapoport[1]

Peter Scholze (German pronunciation:[ˈpeːtɐˈʃɔltsə]; born 11 December 1987[2]) is a German mathematician known for his work inarithmetic geometry. He has been a professor in theUniversity of Bonn since 2012 and co-director at theMax Planck Institute for Mathematics since 2018. He has been called one of the leading mathematicians in the world.[3][4][5][6] In 2018, he won theFields Medal, an award regarded as the highest professional honor in mathematics.[7][8][9]

Early life and education

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Scholze was born inDresden and grew up inBerlin.[10] His father is aphysicist, his mother acomputer scientist, and his sister studiedchemistry.[11] He attended theHeinrich-Hertz-Gymnasium [de] inBerlin-Friedrichshain, agymnasium devoted to mathematics and science.[12] As a student, Scholze participated in theInternational Mathematical Olympiad, winning three gold medals and one silver medal.[13]

He studied at theUniversity of Bonn and completed hisbachelor'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 ofMichael Rapoport.[1]

Scholze was a student of Rapoport, who was a student ofDeligne, who was a student ofGrothendieck, who was a student ofSchwartz; in this chain, Scholze, Deligne, Grothendieck, and Schwartz are all Fields medallists.

Career

[edit]

From July 2011 until 2016, Scholze was a Research Fellow of theClay Mathematics Institute in New Hampshire.[15] In 2012, shortly after completing his PhD, he was madefull professor in 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 as Chancellor's Professor in theUniversity of California, Berkeley, where he taught a course onp-adic geometry.[18][19]

In 2018, Scholze was appointed as a director of theMax Planck Institute for Mathematics in Bonn.[20]

Work

[edit]

Peter Scholze's works focuses on local aspects ofp-adic algebraic geometry. He presented in a more compact form some of the previous fundamental theories pioneered byGerd Faltings,Jean-Marc Fontaine and later byKiran Kedlaya. HisPhD thesis onperfectoid spaces[21] yields the solution to a special case of theweight-monodromy conjecture.[22]

Scholze andBhargav Bhatt have developed a theory ofprismatic cohomology, which has been described as progress towardsmotivic cohomology by unifyingsingular cohomology,de Rham cohomology,ℓ-adic cohomology, andcrystalline cohomology.[23][24]

Scholze and Dustin Clausen proposed a program forcondensed mathematics.

Awards

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

He received theFermat Prize 2015 from the Institut de Mathématiques de Toulouse.[31] In 2016, he was awarded theLeibniz Prize 2016 by theGerman Research Foundation.[32] He declined the $100,000 "New Horizons in Mathematics Prize" of the 2016Breakthrough Prizes.[33] His turning down of the prize received some media attention.[34][35]

In 2017 he became a member of theGerman Academy of Sciences Leopoldina.[36]

In 2018, at thirty years old, Scholze, who was at the time serving as a mathematics professor in the University of Bonn, became one of the youngest mathematicians ever to be awarded theFields Medal[37][38] for "transforming arithmeticalgebraic geometry overp-adic fields through his introduction ofperfectoid spaces, with application toGalois representations, and for the development of newcohomology theories".[39]

In 2019, Scholze received the Great Cross of Merit of theOrder of Merit of the Federal Republic of Germany.[40][41][42]

In 2022 he became a foreign member of theRoyal Society[43] and was awarded thePius XI Medal from thePontifical Academy of Sciences.[44]

Personal life

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Scholze is married to a fellow mathematician[45] and has a daughter.[46]

References

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  1. ^abPeter Scholze at theMathematics Genealogy Project
  2. ^"Prof. Dr. Peter Scholze".Hausdorff Center for Mathematics.Archived from the original on 26 April 2017. Retrieved1 August 2018.
  3. ^ab"Mathematiker Peter Scholze (24) nimmt Ruf nach Bonn an – als jüngster deutscher W3-Professor".Informationsdienst Wissenschaft (in German). 15 October 2012. Retrieved1 August 2018.
  4. ^"Leibniz Prize 2016: Professor Dr. Peter Scholze".Deutsche Forschungsgemeinschaft. Archived fromthe original on 1 August 2018. Retrieved1 August 2018.
  5. ^Klarreich, Erica (1 August 2018)."A Master of Numbers and Shapes Who Is Rewriting Arithmetic".Quanta Magazine. Retrieved2 August 2018.
  6. ^Kaschel, Helena (23 July 2016)."Don't call me a prodigy: the rising stars of European mathematics".Deutsche Welle. Retrieved2 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. Retrieved4 November 2018.
  8. ^"Fields Medal". School of Mathematics and Statistics – University of St Andrews, Scotland. Retrieved29 March 2018.
  9. ^"Fields Medal". The University of Chicago. Retrieved29 March 2018.
  10. ^"Zwei Forscher der Uni Bonn erhalten den Leibniz-Preis" (in German). Rheinische Friedrich-Wilhelms-Universität Bonn. 10 December 2015. Archived fromthe original on 27 December 2016. Retrieved1 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. Retrieved23 December 2018.
  12. ^"Mit ihm kann man rechnen".Der Tagesspiegel (in German). 3 August 2005. Retrieved1 August 2018.
  13. ^Dolinar, Gregor."International Mathematical Olympiad".International Mathematical Olympiad. Archived fromthe original on 25 April 2021. Retrieved1 August 2018.
  14. ^ab"Mathe-Genie: 24-Jähriger wird Deutschlands jüngster Professor".Spiegel Online (in German). 16 October 2012. Retrieved1 August 2018.
  15. ^"Peter Scholze".Clay Mathematics Institute. Archived fromthe original on 17 May 2019. Retrieved1 August 2018.
  16. ^"Peter Scholze ist erst 24 Jahre alt: Mathe-Genie wird Deutschlands jüngster Professor".Bild (in German). 15 October 2012. Retrieved1 August 2018.
  17. ^Harmsen, Torsten (15 October 2012)."Hochschule: Mathematikgenie aus Berlin".Berliner Zeitung (in German). Retrieved1 August 2018.
  18. ^"Peter Scholze". Department of Mathematics at University of California Berkeley. Retrieved1 August 2018.
  19. ^Scholze, Peter; Weinstein, Jared (October 2018)."Berkeley lectures onp-adic geometry"(PDF).University of Bonn. Retrieved4 November 2018.
  20. ^"Peter Scholze new director at the Max Planck Institute for Mathematics".Max Planck Institute for Mathematics. 2 July 2018. Retrieved11 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. Retrieved4 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. Retrieved21 March 2021.
  25. ^"LISTE CHRONOLOGIQUE DES INTITULES DES COURS PECCOT DEPUIS 1899"(PDF) (in French). College de France.
  26. ^"Peter Scholze to receive 2013 Sastra Ramanujan Prize".Shanmugha Arts, Science, Technology & Research Academy. Archived fromthe original on 22 March 2019. Retrieved1 August 2018.
  27. ^"2014 Clay Research Awards". Clay Mathematics Institute. 14 July 2014. Retrieved1 August 2018.
  28. ^"Peter Scholze to Receive 2015 AMS Cole Prize in Algebra".American Mathematical Society. 4 December 2014. Retrieved1 August 2018.
  29. ^"The prize and the prize winners". Ostrowski Foundation. Retrieved1 August 2018.
  30. ^"Ostrowski Prize 2015: Peter Scholze"(PDF). Ostrowski Foundation. Retrieved1 August 2018.
  31. ^"Lauréats du Prix Fermat" (in French).Institut de Mathématiques de Toulouse. Archived fromthe original on 2 August 2018. Retrieved1 August 2018.
  32. ^"Leibniz Prizes 2016: DFG Honours Ten Researchers".Deutsche Forschungsgemeinschaft. 10 December 2015. Archived fromthe original on 30 August 2019. Retrieved3 January 2016.
  33. ^"2016 Breakthrough Prizes".breakthroughprize.org. Retrieved15 November 2015.
  34. ^Sample, Ian (9 November 2015)."Academics land £2m prizes at Zuckerberg-backed 'science Oscars'".The Guardian.ISSN 0261-3077. Retrieved7 May 2025.
  35. ^Woit, Peter (9 November 2015)."2016 Breakthrough Prizes".Not Even Wrong. Department of Mathematics at Columbia University. Retrieved3 August 2018.
  36. ^"Peter Scholze". German Academy of Sciences Leopoldina. Retrieved26 May 2021.
  37. ^Chang, Kenneth (1 August 2018)."Fields Medals Awarded to 4 Mathematicians".The New York Times. Retrieved1 August 2018.
  38. ^Dambeck, Holger (1 August 2018)."Fields-Medaille: Peter Scholze bekommt weltweit höchste Auszeichnung für Mathematiker".Spiegel Online (in German). Retrieved1 August 2018.
  39. ^"Fields Medals 2018".International Mathematical Union. Retrieved2 August 2018.
  40. ^"Bundesverdienstkreuz (Great Cross of Merit) for Peter Scholze". Max Planck Institute for Mathematics. 15 October 2019. Retrieved2 April 2020.
  41. ^"Bekanntgabe vom 1. Oktober 2019" (in German).Bundespräsidialamt. Retrieved2 April 2020.
  42. ^"Peter Scholze erhält das "Große Verdienstkreuz"" (in German). Hausdorff Center for Mathematics. 2 October 2019. Retrieved2 April 2020.
  43. ^"Peter Scholze".The Royal Society.
  44. ^"Pius XI-Medaille an Peter Scholze verliehen".University of Bonn (in German). 9 September 2022.
  45. ^Schmundt, Hilmar (23 April 2016)."Bildung: Lieber Mathe als Rockband".Der Spiegel (in German). Retrieved15 August 2018.
  46. ^Klarreich, Erica (28 June 2016)."The Oracle of Arithmetic".Quanta Magazine. Retrieved15 August 2018.

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