ⓘ Peter Scholze

                                     

ⓘ Peter Scholze

Peter Scholze is a German mathematician known for his work in algebraic 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. He won the Fields Medal in 2018, which is regarded as the highest professional honor in mathematics.

                                     

1. 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 Bachelors degree in three semesters and his Masters degree in two further semesters. He obtained his Ph.D. in 2012 under the supervision of Michael Rapoport.

                                     

2. Career

From July 2011 until 2016, Scholze was a Research Fellow of the Clay Mathematics Institute in New Hampshire. In 2012 shortly after completing his PhD, he was made full professor at the University of Bonn, becoming the youngest full professor in Germany at the age of 24. In Fall 2014, Scholze was appointed the Chancellors 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 Institute for Mathematics in Bonn.

                                     

3. Work

Scholzes 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.

                                     

4. 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 Institut de Mathematiques 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.

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 cohomology theories."