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Peter Scholze

German mathematician (born 1987) From Wikipedia, the free encyclopedia

Peter Scholze
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Peter Scholze (German pronunciation: [ˈpeːtɐ ˈʃɔltsə] ; 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 co-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] In 2018, he won the Fields Medal, an award regarded as the highest professional honor in mathematics.[7][8][9]

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Early life and education

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]

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

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Career

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]

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Work

Peter Scholze's works focuses on local aspects of p-adic algebraic geometry. 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.

Awards

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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 some media attention.[34][35]

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

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[37][38] 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".[39]

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

In 2022 he became a foreign member of the Royal Society[43] and was awarded the Pius XI Medal from the Pontifical Academy of Sciences.[44]

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Personal life

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

References

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