Peter Scholze | Academic Influence

Why Is Peter Scholze Influential?

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By Erik J. Larson, PhD

Scholze is Director of the Max Planck Institute for Mathematics and Professor of Mathematics at the University of Bonn in Germany. Scholze received his bachelor’s degree in Mathematics as well as his master’s and Ph.D. from the University of Bonn, the latter awarded in 2012. Scholze, one of the world’s great mathematicians, won the Fields Medal in 2018.

Scholze’s interests are mainly in a field known as arithmetic geometry, essentially the application of algebraic geometry to problems in number theory. He has proved in more compact form several of the most fundamental theories in all of mathematics. The University of California at Berkeley appointed Scholze to Chancellor’s Professor of Mathematics in 2014, and he also served as a Research Fellow at the Clay Mathematics Institute in New Hampshire for several years, beginning in 2011. Notably, Scholze’s professorship at Bonn made him the youngest full professor in Germany, at the age of 24.

Scholze is winner of the SASTRA Ramanujan Prize in 2013, as well as the Frank Nelson Cole Prize in Algebra in 2015, and the Fermat Prize that same year.

Academic Website

Featured in Top Influential Mathematicians Today

According to Wikipedia, Peter Scholze 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. He won the Fields Medal in 2018, which is regarded as the highest professional honor in mathematics.

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Peter Scholze's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Papers

On torsion in the cohomology of locally symmetric varieties (2013) (250)
Perfectoid Spaces (2011) (250)
$p$ -ADIC HODGE THEORY FOR RIGID-ANALYTIC VARIETIES (2012) (233)
Topological cyclic homology (2017) (222)
The pro-\'etale topology for schemes (2013) (184)
Moduli of p-divisible groups (2012) (182)
Projectivity of the Witt vector affine Grassmannian (2015) (175)
Topological Hochschild homology and integral p$p$-adic Hodge theory (2018) (150)
The Local Langlands Correspondence for GLn over p-adic fields (2010) (137)
On the generic part of the cohomology of compact unitary Shimura varieties (2015) (136)
Etale cohomology of diamonds (2017) (121)
Berkeley Lectures on p-adic Geometry (2020) (118)
Prisms and prismatic cohomology (2019) (103)
Geometrization of the local Langlands correspondence (2021) (88)
On the p-adic cohomology of the Lubin-Tate tower (2015) (81)
Perfectoid Spaces: A survey (2013) (74)
Integral p$p$-adic Hodge theory (2016) (53)
Potential automorphy over CM fields (2018) (39)
Canonical q-deformations in arithmetic geometry (2016) (39)
p-ADIC GEOMETRY (2017) (38)
On the cohomology of compact unitary group Shimura varieties at ramified split places (2011) (34)
Purity for flat cohomology. (2019) (31)
Integral p-adic Hodge theory (2016) (30)
$p$ -ADIC HODGE THEORY FOR RIGID-ANALYTIC VARIETIES – CORRIGENDUM (2012) (29)
Perfectoid Spaces and their Applications (2014) (27)
The Langlands-Kottwitz approach for the modular curve (2010) (26)
The Langlands-Kottwitz method and deformation spaces of $p$-divisible groups (2011) (25)
Lectures on Condensed Mathematics (2019) (23)
The Langlands-Kottwitz approach for some simple Shimura varieties (2010) (17)
Integral $p$-adic Hodge theory - announcement (2015) (16)
Why abc is still a conjecture (2018) (16)
Vanishing theorems for perverse sheaves on abelian varieties, revisited (2017) (16)
Prismatic $F$-crystals and crystalline Galois representations (2021) (14)
Liquid Tensor Experiment (2021) (13)
Sheaves, stacks, and shtukas (2019) (10)
Topological realisations of absolute Galois groups (2016) (6)
Perfectoid Shimura varieties (2013) (5)
Vanishing theorems for perverse sheaves on abelian varieties, revisited (2017) (2)
Correction to “On topological cyclic homology” (2019) (2)
Relative Perversity (2021) (1)
The Langlands program and the moduli of bundles on the curve (2022) (0)
Lecture 10. Diamonds associated with adic spaces (2020) (0)
Lecture 16. Drinfeld's lemma for diamonds (2020) (0)
Local acyclicity in $p$-adic geometry (2018) (0)
Mixed-characteristic shtukas (2020) (0)
Jean-Marc Fontaine (1944–2019) (2020) (0)
Affine flag varieties (2020) (0)
Complements on adic spaces (2020) (0)
Diamonds II (2020) (0)
Families of affine Grassmannians (2020) (0)
Lecture 4. Examples of adic spaces (2020) (0)
The v-topology (2020) (0)
Lecture 5. Complements on adic spaces (2020) (0)
Shtukas with one leg (2020) (0)
p-adic Methods in Number Theory: A Conference Inspired by the Mathematics of Robert Coleman May 26-30, 2015 (2015) (0)
Lecture 17. The v-topology (2020) (0)
Lecture 1. Introduction (2020) (0)
Lecture 12. Shtukas with one leg (2020) (0)
Introduction (2020) (0)
Projectivity of the Witt vector affine Grassmannian (2016) (0)
Shtukas with one leg III (2020) (0)
Lecture 22. Vector bundles and G-torsors on the relative Fargues-Fontaine curve (2020) (0)
Moduli spaces of shtukas (2020) (0)
Examples of adic spaces (2020) (0)
Lecture 6. Perfectoid rings (2020) (0)
Local Shimura varieties (2020) (0)
Integral models of local Shimura varieties (2020) (0)
Lecture 2. Adic spaces (2020) (0)
The BdR+-affine Grassmannian (2020) (0)
Diamonds associated with adic spaces (2020) (0)
Simply-laced isomonodromy systems . On the functions counting walks with small steps in the quarter plane . The structure of approximate groups . On stably free modules over affine algebras . Perfectoid spaces (2012) (0)
The Local Langlands Correspondence for GLn over p-adic fields (2012) (0)
Analytic Geometry (2020) (0)
Adic spaces (2020) (0)
p-adic Hodge Theory (2015) (0)
The Langlands-Kottwitz approach for some simple Shimura varieties (2012) (0)
Examples of diamonds (2020) (0)
Lecture 18. v-sheaves associated with perfect and formal schemes (2020) (0)
Diamonds (2020) (0)
Drinfeld’s lemma for diamonds (2020) (0)
Integral p\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$p$\end{document}-adic Hodge theory (2018) (0)
Lecture 20. Families of affine Grassmannians (2020) (0)
Lecture 13. Shtukas with one leg II (2020) (0)
Topological Hochschild homology and integral p\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$p$\end{document}-adic Hod (2019) (0)
Lecture 9. Diamonds II (2020) (0)
Perfectoid Shimura varieties (2015) (0)
Lecture 21. Affine flag varieties (2020) (0)
Arithmetic Geometry (2021) (0)
Fields Medalists of ICM 2018 (2019) (0)
Adic spaces II (2020) (0)
Lecture 15. Examples of diamonds (2020) (0)
Perfectoid rings (2020) (0)
Lecture 23. Moduli spaces of shtukas (2020) (0)
Local Shimura Varieties : Minicourse Given by (2019) (0)
Shtukas with one leg II (2020) (0)
Perfectoid Spaces (2012) (0)
Lecture 11. Mixed-characteristic shtukas (2020) (0)

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Peter Scholze is affiliated with the following schools:

University of Bonn

Peter Scholze's AcademicInfluence.com Rankings

Mathematics

#95

World Rank

#255

Historical Rank

Measure Theory

#3118

World Rank

#3770

Historical Rank

mathematics Degrees

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