Scholze, Peter

1. Topological Hochschild homology and integral p-adic Hodge theory
   2018/02/09 by Bhargav Bhatt, Bhatt, Bhargav, Matthew Morrow +3 · 18 citations
   Mathematics · #13D03 #14F20 #14F30 #19D50 #19D55 #19E20 #19F27 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Number Theory (math.NT)
2. Prisms and Prismatic Cohomology
   2019/05/20 by Bhargav Bhatt, Bhatt, Bhargav, Peter Scholze +1 · 13 citations
   Mathematics · Pharmacology, Toxicology and Pharmaceutics · #11G25 #14D10 #14F20 #14F30 #14F40 #14G20 #14G22 #Advanced Mathematical Identities #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Alkaloids: synthesis and pharmacology #FOS: Mathematics #Number Theory (math.NT)
3. The pro-étale topology for schemes
   2013/09/04 by Bhargav Bhatt, Peter Scholze, Bhatt, Bhargav +1 · 12 citations
   Mathematics · Pharmacology, Toxicology and Pharmaceutics · #Algebraic Geometry and Number Theory #Alkaloids: synthesis and pharmacology #Homotopy and Cohomology in Algebraic Topology
4. Geometrization of the local Langlands correspondence
   2021/02/26 by Fargues, Laurent, Scholze, Peter · 12 citations
   #11F77 #11F85 #11S37 #14D24 #14G45 #22E57 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)
5. Perfectoid spaces
   2011/11/21 by Scholze, Peter · 7 citations
   #11S15 #12J25 #14G10 #14G17 #14G20 #14G22 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics
6. Projectivity of the Witt vector affine Grassmannian
   2015/07/23 by Bhatt, Bhargav, Scholze, Peter · 7 citations
   #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)
7. p-adic Hodge theory for rigid-analytic varieties
   2012/05/15 by Scholze, Peter · 6 citations
   #14C30 #14G20 #14G22 #32J27 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)
8. On torsion in the cohomology of locally symmetric varieties
   2013/06/09 by Scholze, Peter · 6 citations
   #11F03 #11F80 #14G22 #14G35 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)
9. Moduli of p-divisible groups
   2012/11/27 by Scholze, Peter, Weinstein, Jared · 5 citations
   #14G22 #14L05 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)
10. Purity for flat cohomology
    2019/12/23 by Cesnavicius, Kestutis, Scholze, Peter · 7 citations
    #14F30 #14H20 #18G30 #18G55 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #Primary 14F20 #Secondary 14F22
11. On the generic part of the cohomology of non-compact unitary Shimura varieties
    2019/09/04 by Ana Caraiani, Caraiani, Ana, Peter Scholze +1 · 4 citations
    Mathematics · #Advanced Algebra and Geometry #Geometry and complex manifolds #Algebraic Geometry and Number Theory
12. Etale cohomology of diamonds
    2017/09/21 by Scholze, Peter · 4 citations
    #14F05 #14F20 #14G20 #14G22 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)
13. Potential automorphy over CM fields
    2018/12/25 by Patrick B. Allen, Allen, Patrick B., Frank Calegari +17 · 2 citations
    Mathematics · #11F55 #11F75 #11F80 #11G18 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)
14. Prismatic F-crystals and crystalline Galois representations
    2021/06/28 by Bhatt, Bhargav, Scholze, Peter · 2 citations
    #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)
15. Relative Perversity
    2021/09/14 by Hansen, David, Scholze, Peter · 3 citations
    #14F08 #14F20 #18G80 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)
16. On the p-adic cohomology of the Lubin-Tate tower
    2015/06/12 by Scholze, Peter · 1 citation
    #11F80 #11F85 #11S37 #14G22 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)
17. Topological realisations of absolute Galois groups
    2016/09/15 by Kucharczyk, Robert A., Scholze, Peter · 1 citation
    #11R32 #12F10 #14F35 #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #FOS: Mathematics #Number Theory (math.NT)
18. Vanishing theorems for perverse sheaves on abelian varieties, revisited
    2017/02/21 by Bhatt, Bhargav, Schnell, Christian, Scholze, Peter · 1 citation
    #Algebraic Geometry (math.AG) #FOS: Mathematics
19. Six-Functor Formalisms
    2025/10/30 by Scholze, Peter · 4 citations
    #14A30 #14F08 #14F20 #14F30 #14F40 #14F42 #18F10 #18F20 #55N30 #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #Category Theory (math.CT) #FOS: Mathematics #Number Theory (math.NT)
20. The Habiro ring of a number field
    2024/12/05 by Garoufalidis, Stavros, Scholze, Peter, Wheeler, Campbell +1 · 1 citation
    #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #High Energy Physics - Theory (hep-th) #Number Theory (math.NT)