German mathematician (born 1987)

Not to be confused with Peter Scholz.

Peter Scholze (German pronunciation: ; born 11 December 1987) 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 Ins*ute for Mathematics since 2018. He has been called one of the leading mathematicians in the world. He won the Fields Medal in 2018, which is regarded as the highest professional honor in mathematics.

Contents

• 1 Early life and education
• 2 Career
• 3 Work
• 4 Awards
• 5 Personal life
• 6 See also
• 7 References
• 8 External links

Early life and education

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

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. He obtained his Ph.D. in 2012 under the supervision of Michael Rapoport.

Career

From July 2011 until 2016, Scholze was a Research Fellow of the Clay Mathematics Ins*ute in New Hampshire. 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. In Fall 2014, Scholze was appointed the Chancellor's Professor at University of California, Berkeley, where he taught a course on p-adic geometry. In 2018, Scholze was appointed as a director of the Max Planck Ins*ute for Mathematics in Bonn.

Work

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 yields the solution to a special case of the weight-monodromy conjecture.

Scholze and Bhargav Bhatt have developed a theory of prismatic co*logy, which has been described as progress towards motivic co*logy by unifying singular co*logy, de Rham co*logy, ℓ-adic co*logy, and crystalline co*logy.

Scholze and Dustin Clausen proposed a program for Condensed mathematics, a project to unify various mathematical subfields, including topology, geometry, Functional *ysis, and number theory.

Awards

In 2012, he was awarded the Prix and Cours Peccot. He was awarded the 2013 SASTRA Ramanujan Prize. In 2014, he received the Clay Research Award. In 2015, he was awarded the Frank Nelson Cole Prize in Algebra, and the Ostrowski Prize.

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

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

He was awarded the Fields Medal in 2018, 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 co*logy theories".

In 2019, Scholze received the Great Cross of Merit of the Order of Merit of the Federal Republic of Germany.

Personal life

Scholze is married to a fellow mathematician and has a daughter.

See also

• Condensed mathematics

References

External links

• Prof. Dr. Peter Scholze, University of Bonn (in German)
• Prof. Dr. Peter Scholze, Hausdorff Center for Mathematics
• Prof. Dr. Peter Scholze, Academy of Sciences Leopoldina (in German)
• Peter Scholze's results at International Mathematical Olympiad
• Klarreich, Erica (28 June 2016), "The Oracle of Arithmetic", Quanta Magazine ("Peter Scholze And The Future of Arithmetic Geometry")
• Scopus preview – Scholze, Peter – Author details – Scopus
• Hesse, Michael (16 August 2018), "Interview mit Peter Scholze "Mathematiker brauchen eine hohe Frustrationstoleranz"", Berliner Zeitung
• Annual Report 2012: Interview with Research Fellow Peter Scholze (PDF), Clay Mathematics Ins*ute, 2012, p.:12–14