Kiran Kedlaya

Q: What Schools Are Affiliated With Kiran Kedlaya

Kiran Kedlaya is affiliated with the following schools: University of California, Berkeley, University of California, San Diego, Princeton University, Massachusetts Institute of Technology, Harvard University

Kiran Kedlaya's AcademicInfluence.com Rankings

Kiran Kedlaya

Mathematics

#516

World Rank

#1007

Historical Rank

#235

USA Rank

Algebraic Geometry

#77

World Rank

#82

Historical Rank

#18

USA Rank

Measure Theory

#2272

World Rank

#2724

Historical Rank

#643

USA Rank

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Mathematics

Why Is Kiran Kedlaya Influential?

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According to Wikipedia, Kiran Sridhara Kedlaya is an Indian American mathematician. He currently is a Professor of Mathematics and the Stefan E. Warschawski Chair in Mathematics at the University of California, San Diego. Biography Kiran Kedlaya was born into a Tulu Brahmin family. At age 16, Kedlaya won a gold medal at the International Mathematics Olympiad, and would later win a silver and another gold medal. While an undergraduate student at Harvard, he was a three-time Putnam Fellow in 1993, 1994, and 1995. A 1996 article by The Harvard Crimson described him as "the best college-age student in math in the United States".

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Kiran Kedlaya's Published Works

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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 Works

Counting Points on Hyperelliptic Curves using Monsky-Washnitzer Cohomology (2001) (253)
Relative P-adic Hodge Theory: Foundations (2013) (205)
Fast Polynomial Factorization and Modular Composition (2011) (201)
A p-adic local monodromy theorem (2001) (194)
p-adic Differential Equations (2010) (148)
Cohomology of arithmetic families of (,Γ)-modules (2012) (141)
Slope filtrations revisited (2005) (112)
The algebraic closure of the power series field in positive characteristic (1998) (108)
Good formal structures for flat meromorphic connections, I: Surfaces (2008) (100)
Sato–Tate distributions and Galois endomorphism modules in genus 2 (2011) (97)
Semistable reduction for overconvergent $F$-isocrystals I: Unipotence and logarithmic extensions (2004) (93)
Good formal structures for flat meromorphic connections, II: Excellent schemes (2010) (92)
Finiteness of rigid cohomology with coefficients (2002) (84)
Relative p-adic Hodge theory, II: Imperfect period rings (2016) (79)
Fourier transforms and $p$-adic ‘Weil II’ (2002) (75)
Fast Modular Composition in any Characteristic (2008) (74)
Slope filtrations for relative Frobenius (2006) (61)
Full faithfulness for overconvergent F -isocrystals (2001) (60)
Étale covers of affine spaces in positive characteristic (2002) (55)
Solving constrained Pell equations (1998) (53)
Semistable reduction for overconvergent F-isocrystals, IV: local semistable reduction at nonmonomial valuations (2006) (52)
Computing Zeta Functions via p-Adic Cohomology (2004) (52)
Semistable reduction for overconvergent F - isocrystals (2005) (51)
Bounding Picard numbers of surfaces using p-adic cohomology (2006) (50)
Computing L-Series of Hyperelliptic Curves (2008) (48)
A construction of polynomials with squarefree discriminants (2011) (46)
On Families of (',) -modules (2010) (46)
Explicit Coleman Integration for Hyperelliptic Curves (2010) (44)
Hyperelliptic curves, L-polynomials, and random matrices (2008) (40)
An algebraic Sato-Tate group and Sato-Tate conjecture (2011) (38)
PRODUCT-FREE SUBSETS OF GROUPS (1998) (35)
LOCAL MONODROMY OF p-ADIC DIFFERENTIAL EQUATIONS: AN OVERVIEW (2005) (34)
Semistable reduction for overconvergent F-isocrystals, II: A valuation-theoretic approach (2005) (33)
Quantum computation of zeta functions of curves (2004) (31)
Differential modules on p-adic polyannuli (2008) (31)
Semistable reduction for overconvergent F-isocrystals, III: Local semistable reduction at monomial valuations (2007) (30)
Swan conductors for p-adic differential modules, I: A local construction (2006) (30)
Proof of a Mixed Arithmetic-Mean, Geometric-Mean Inequality (1994) (30)
The William Lowell Putnam Mathematical Competition, 1985-2000 : problems, solutions, and commentary (2002) (30)
Power Series and p-Adic Algebraic Closures (1999) (29)
p-adic cohomology: from theory to practice (2008) (29)
Good formal structures for flat meromorphic connections , II : Higher-dimensional varieties (2009) (28)
Noetherian properties of Fargues-Fontaine curves (2014) (28)
Locally Decodable Codes From Nice Subsets of Finite Fields and Prime Factors of Mersenne Numbers (2007) (28)
Search techniques for root-unitary polynomials (2006) (26)
On the Witt vector Frobenius (2014) (26)
Finite automata and algebraic extensions of function fields (2004) (24)
Swan conductors for p-adic differential modules. II Global variation (2007) (24)
Appendix and erratum to “Massey products for elliptic curves of rank 1” (2011) (24)
New methods for (ϕ, Γ)‑modules (2015) (24)
Nonarchimedean geometry of Witt vectors (2010) (24)
An application of the effective Sato-Tate conjecture (2013) (23)
Slopes of indecomposable F-isocrystals (2016) (22)
Outerplanar Partitions of Planar Graphs (1996) (22)
-adic Geometry: Lectures from the 2007 Arizona Winter School (2008) (22)
Mass formulas for local Galois representations (2005) (21)
Some ring-theoretic properties of A_inf (2016) (21)
The probability that a complete intersection is smooth (2010) (21)
On the algebraicity of generalized power series (2015) (21)
Notes on isocrystals (2016) (20)
Etale and crystalline companions, I (2018) (20)
Large Product-Free Subsets of Finite Groups (1997) (19)
Local and global structure of connections on nonarchimedean curves (2013) (18)
Sato–Tate groups of abelian threefolds: a preview of the classification (2019) (18)
Proof of a Mixed Arithmetic-Mean, Geomertic-Mean Inequality (1994) (18)
Continuous functions on compact subsets of local fields (1999) (17)
Semistable reduction for overconvergent $F$-isocrystals on a curve (2002) (15)
Sato-Tate groups of some weight 3 motives (2012) (15)
Relative p-adic Hodge theory and Rapoport-Zink period domains (2010) (15)
Reified valuations and adic spectra (2013) (14)
Product-free subsets of groups, then and now (2007) (14)
A WEIGHTED MIXED-MEAN INEQUALITY (1999) (14)
Zeta functions of nondegenerate hypersurfaces in toric varieties via controlled reduction in p-adic cohomology (2018) (13)
Some new directions in p-adic Hodge theory (2007) (13)
Finiteness of cohomology of local systems on rigid analytic spaces (2016) (13)
Isogeny Classes of Abelian Varieties over Finite Fields in the LMFDB (2020) (13)
A heuristic for the distribution of point counts for random curves over a finite field (2014) (12)
SHEAFINESS CRITERIA FOR HUBER RINGS (2020) (12)
Effective convergence bounds for Frobenius structures on connections (2011) (12)
Endomorphisms of power series fields and residue fields of Fargues-Fontaine curves (2015) (10)
Cohomology of arithmetic families of (phi,Gamma)-modules (2012) (10)
Some slope theory for multivariate Robba rings (2013) (10)
Sheaves, stacks, and shtukas (2019) (10)
Relative p-adic Hodge theory , II : ( φ , Γ )-modules (2011) (9)
Another Combinatorial Determinant (1998) (9)
The p-adic local monodromy theorem for fake annuli (2005) (9)
Unipotency and semistability of overconvergent F-crystals (2001) (9)
p-adic cohomology (2006) (9)
Effective p-adic cohomology for cyclic cubic threefolds (2008) (8)
Frobenius modules and de Jong's theorem (2004) (8)
Descent of morphisms of overconvergent F-crystals (2001) (8)
ORBITS OF AUTOMORPHISM GROUPS OF FIELDS (2004) (8)
Endomorphism fields of abelian varieties (2016) (8)
Complex Multiplication and Explicit Class Field Theory (1996) (8)
On commutative nonarchimedean Banach fields (2016) (7)
Fault Tolerance in Multicore Processors With Reconfigurable Hardware Unit (2006) (7)
A census of zeta functions of quartic K3 surfaces over F_2 (2015) (7)
Motivic Serre group, algebraic Sato-Tate group and Sato-Tate conjecture (2015) (7)
Sato-Tate groups of genus 2 curves (2014) (6)
New methods for $$(\varphi, \Gamma)$$(φ,Γ)-modules (2015) (6)
Simple connectivity of Fargues–Fontaine curves (2018) (6)
Frobenius modules over multivariate Robba rings (2013) (6)
Errata to “Good formal structures for flat meromorphic connections, I: Surfaces,” Duke Math. J. 154 (2010), 343–418 (2012) (5)
Quasi-unipotence of overconvergent F-crystals (2001) (5)
Space vectors forming rational angles. (2020) (5)
Drinfeld's lemma for perfectoid spaces and overconvergence of multivariate $(\varphi, \Gamma)$-modules (2018) (5)
Almost purity and overconvergent Witt vectors (2014) (4)
On families of phi, Gamma-modules (2008) (4)
New methods for (phi, Gamma)-modules (2013) (4)
Sato-Tate groups of abelian threefolds (2021) (4)
The Newton polygons of overconvergent F-crystals (2001) (4)
Differential Modules on p-Adic Polyannuli—Erratum (2010) (4)
On the Geometry of $p$ -Typical Covers in Characteristic $p$ (2005) (4)
RATIONAL STRUCTURES AND (φ,Γ)-MODULES (2013) (4)
Drinfeld's lemma for $F$-isocrystals, II: Tannakian approach (2022) (4)
Relative p-adic Hodge theory, II: (phi, Gamma)-modules (2013) (3)
Slope filtrations and (φ,Γ)-modules in families (2010) (3)
Detecting integral polyhedral functions (2008) (3)
A cut-by-curves criterion for overconvergent of $F$-isocrystals (2022) (3)
Effective Sato-Tate conjecture for abelian varieties and applications (2020) (3)
Good Formal Structures for Flat Meromorphic Connections, III: Irregularity and Turning Loci (2013) (3)
Mod-2 dihedral Galois representations of prime conductor (2018) (2)
Convergence Polygons for Connections on Nonarchimedean Curves (2015) (2)
Frobenius structures on hypergeometric equations (2019) (2)
The Rook on the Half-Chessboard, or How not to Diagonalize a Matrix (1998) (2)
Problems: 10330-10337 (1993) (2)
Counterexamples to a Conjecture of Ahmadi and Shparlinski (2020) (2)
Almost purity for overconvergent Witt vectors (2013) (2)
Algebraic Generalized Power Series and Automata (2001) (2)
The Hochschild-Serre property for some p-adic analytic group actions (2015) (2)
Generalizations of product-free subsets (2008) (2)
WITT VECTORS WITH p-ADIC COEFFICIENTS AND FONTAINE’S RINGS (2010) (2)
Etale and crystalline companions, II (2020) (2)
Connected Sets of Periodic Functions: 10434 (1999) (1)
Drinfeld's lemma for $F$-isocrystals, I (2022) (1)
Hypergeometric L-functions in average polynomial time (2020) (1)
Corrigendum: Local and global structure of connections on nonarchimedean curves (2017) (1)
On the Witt vector (1)
The relative class number one problem for function fields, I (2022) (1)
A Nonnegative Reflecting Kernel: 10435 (1998) (1)
Good formal structures for flat meromorphic connections, III: Irregularity is nef (2013) (1)
Tamely ramified morphisms of curves and Belyi's theorem in positive characteristic (2020) (1)
Crystals, Crew's conjecture, and cohomology (2003) (1)
Geometric decomposition of abelian varieties of order 1 (2021) (1)
p -adic Differential Equations: Notation (2010) (1)
Some Ring-Theoretic Properties of $$\mathbf {A}_{{{\mathrm{inf}\,}}}$$ (2020) (1)
Common Eigenvector of Commuting Matrices: 10633 (1999) (1)
Solutions to the 63rd William Lowell Putnam Mathematical Competition Saturday, December 7, 2002 (2002) (1)
Bhargava's Early Work: The Genesis of P-Orderings (2017) (1)
News and Letters (2005) (1)
Mass formulas for local Galois representations (after Serre, Bhargava) (2005) (1)
7. On Nonarchimedean Banach Fields (2018) (1)
WHEN IS (XY + 1)(YZ+1)(ZX + 1) A SQUARE? (1998) (1)
Monodromy representations of $p$-adic differential equations in families (2022) (1)
Frobenius modules over the Robba ring (2010) (0)
About these notes Periods for the Fundamental Group (2003) (0)
Problems and Solutions (2003) (0)
Problems and Solutions (2002) (0)
N ov 2 00 4 In search of Robbins stability (2004) (0)
Solutions to the 82nd William Lowell Putnam Mathematical Competition Saturday, December 4, 2021 (2021) (0)
Problems and Solutions (2005) (0)
Mathematisches Forschungsinstitut Oberwolfach Report No . 32 / 2005 Explicit Methods in Number Theory (2005) (0)
Cycles and Subschemes 14 (2019) (0)
Endomorphism fields of abelian varieties (2017) (0)
In search of Robbins stability (2004) (0)
Incircle Partnerships: 10780 (2000) (0)
18.785 Analytic Number Theory, Spring 2007 (2007) (0)
Decomposition by subsidiary radii (2010) (0)
p -adic Differential Equations: Variation of generic and subsidiary radii (2010) (0)
p -adic Differential Equations: Frobenius pullback and pushforward (2010) (0)
Problems and Solutions (2003) (0)
Algebraic Geometry Foundations (2022) (0)
Se p 20 04 In search of Robbins stability (2004) (0)
Reified valuations and adic spectra (2015) (0)
Problems and Solutions (2005) (0)
Big Compact Sets Need Finite Limits: 10443 (1998) (0)
On the algebraicity of generalized power series (2016) (0)
Ju n 20 01 The Newton polygons of overconvergent F-crystals (2001) (0)
Problems and Solutions (2004) (0)
Problems and Solutions (2002) (0)
Motivic Serre group and Sato--Tate conjecture (2023) (0)
p -adic Differential Equations: The p -adic local monodromy theorem: proof (2010) (0)
A criterion for perfectoid fields (2022) (0)
Basis discrepancies for extensions of valued fields (2006) (0)
p -adic Differential Equations: Frobenius structures on differential modules (2010) (0)
p -adic Differential Equations: Norms on algebraic structures (2010) (0)
Problems and Solutions (2002) (0)
Solutions to the 71st William Lowell Putnam Mathematical Competition Saturday, December 4, 2010 (2010) (0)
Problems and Solutions (2005) (0)
Sato-Tate groups of higher weight motives (2015) (0)
Galois representations and differential modules (2010) (0)
Solutions to the 57 th William Lowell Putnam Mathematical Competition Saturday , December 7 , 1996 (2013) (0)
About the Cover (2017) (0)
Problem 10885 (2001) (0)
WEIL COHOMOLOGY IN PRACTICE (2020) (0)
Problems and Solutions (2005) (0)
WEIL COHOMOLOGY IN PRACTICE (2020) (0)
Problems and Solutions (2000) (0)
Erratum to: New methods for (φ,Γ)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(\upvarphi , \Gamma )$$\end{document} (2015) (0)
Arizona Winter School 2007 p-adic cohomology: from theory to practice (2007) (0)
Ju n 20 05 ORBITS OF AUTOMORPHISM GROUPS OF FIELDS (2005) (0)
Every positive integer is the order of an ordinary abelian variety over $${{\mathbb {F}}}_2$$ (2021) (0)
Solutions to the 74 th William Lowell Putnam Mathematical Competition Saturday , December 7 , 2013 (2013) (0)
Solutions to the 74 th (2014) (0)
Automorphisms of perfect power series rings (2016) (0)
Problem section (1999) (0)
2 0 Ju l 2 00 5 Fourier transforms and p-adic “ Weil II ” (2005) (0)
A formulation of difference Galois theory (2006) (0)
Problems and Solutions (2003) (0)
Semistable reduction for overconvergent F-isocrystals, IV: Refining the local approach (2007) (0)
New methods for (φ,Γ)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(\varphi, \Gamma)$$\end{document}-modules (2015) (0)
Problems and Solutions (2003) (0)
Fe b 20 07 Mass formulas for local Galois representations ( with an appendix by Daniel Gulotta ) (2022) (0)
p -adic Differential Equations: p -adic exponents (2010) (0)
Problems and Solutions (2000) (0)
Erratum to: New methods for $$(\upvarphi , \Gamma )$$(φ,Γ)-modules (2015) (0)
Problems and Solutions (2005) (0)
Problems and Solutions (2004) (0)
A ug 2 00 2 Finiteness of rigid cohomology with coefficients (2002) (0)
A pr 2 00 8 Generalizations of product-free subsets (2008) (0)
Problems and Solutions (2000) (0)
Abelian varieties over $\mathbb{F}_2$ of prescribed order (2021) (0)
Problems and Solutions (2000) (0)
Problems: 10627-10633 (1997) (0)
On categories of (phi, Gamma)-modules (2016) (0)
Problems and Solutions (2002) (0)
Unramified alternating extensions of quadratic fields (2001) (0)
p -adic Differential Equations: Metric properties of differential modules (2010) (0)
Problems and Solutions (2004) (0)
Problems and Solutions (2005) (0)
Problems and Solutions (2004) (0)
Assessment 978-1009-12334-1 — p-adic Differential Equations (0)
Solutions to the 76 th William Lowell Putnam Mathematical Competition Saturday , December 5 , 2015 (2016) (0)
p -adic Differential Equations: References (2010) (0)
Solutions to the 65 th William Lowell Putnam Mathematical Competition Saturday , December 4 , 2004 (2004) (0)
KOLYVAGIN SEMINAR: COMPLEX MULTIPLICATION (2020) (0)
Rings of functions on discs and annuli (2010) (0)
V.28 From Quadratic Reciprocity to Class Field Theory (2010) (0)
Solutions to the 64th William Lowell Putnam Mathematical Competition Saturday, December 6, 2003 (2003) (0)
Problems and Solutions (2003) (0)
p -adic Differential Equations: Effective convergence bounds (2010) (0)
Notes for Math 201 A : Arithmetic of Local Fields University of California , San Diego , Fall 2010 quarter (2010) (0)
News and Letters (1991) (0)
Problems and Solutions (2000) (0)
COM volume 148 issue 5 Cover and Front matter (2012) (0)
3 Moving along Frobenius (2007) (0)
N ov 2 00 7 Product-free subsets of groups , then and now (2018) (0)
Formalism of differential algebra (2010) (0)
Solutions to the 69 th William Lowell Putnam Mathematical Competition Saturday , December 6 , 2008 (2009) (0)
Improved CRT Algorithm for Class Polynomials in Genus 2 (2019) (0)
Problems and Solutions (2002) (0)
Problems and Solutions (2003) (0)
Solutions to the 66 th William Lowell Putnam Mathematical Competition Saturday , December 3 , 2005 (2005) (0)
p -adic Differential Equations: Ramification theory (2010) (0)
Solutions to the 79th William Lowell Putnam Mathematical Competition Saturday, December 1, 2018 (2019) (0)
Problems and Solutions (2000) (0)
Crew's Euler characteristic formula fails for nonzero slopes (2001) (0)
Problems and Solutions (2004) (0)
Erratum for "Slope Filtrations Revisited" (2007) (0)
Problems and Solutions (2003) (0)
Solutions to the 68 th William Lowell Putnam Mathematical Competition Saturday , December 1 , 2007 (2007) (0)
On Nonarchimedean Banach Fields (2018) (0)
Solutions to the 75 th William Lowell Putnam Mathematical Competition Saturday , December 6 , 2014 (0)
O ct 2 00 1 Algebraic Generalized Power Series and Automata (2001) (0)
The Hochschild-Serre property for some p-adic analytic group actions (2015) (0)
George Pólya Awards for 2016 (2016) (0)
p -adic Differential Equations: Formalism of difference algebra (2010) (0)
On categories of (𝜑,Γ)-modules (2018) (0)
N T ] 1 0 Se p 20 06 Slope filtrations for relative Frobenius (2006) (0)
p -adic Differential Equations: Newton polygons (2010) (0)
N T ] 2 8 A ug 2 02 0 FROBENIUS MODULES OVER MULTIVARIATE ROBBA RINGS (2020) (0)
A ug 2 00 7 Product-free subsets of groups , then and now (2008) (0)
p -adic Differential Equations: Frobenius modules (2010) (0)
Nonarchimedean geometry of Witt vectors Kiran S . Kedlaya unstable draft ; version of March 30 , (2010) (0)
Fe b 20 01 Unipotency and semistability of overconvergent F-crystals (2009) (0)
Comparing Partial Sums with Their Penultimate Terms: 10433 (1998) (0)
Erratum (2004) (0)
Problems and Solutions (2004) (0)
On families of ' ; L-modules (2011) (0)
Primality Testing Made Simple IAP 2006 Mathematics Lecture Series (2006) (0)
Solutions to the 60th William Lowell Putnam Mathematical Competition Saturday, December 4, 1999 (2015) (0)
Problems and Solutions (2002) (0)
Differential Modules on p-Adic Polyannuli — Erratum Citation (2010) (0)
Solutions to the 81 st William Lowell Putnam Mathematical Competition Saturday (2018) (0)
Preface (2005) (0)
p -adic Differential Equations: Radius and generic radius of convergence (2010) (0)
p -adic Differential Equations: Matrix analysis (2010) (0)
On the Slope Filtration of C-modules over the Robba Ring by Ruochuan (2009) (0)
Arithmetic Aspects of Explicit Moduli Problems (2017) (0)
Problems and Solutions (2004) (0)
p -adic Differential Equations: Picard–Fuchs modules (2010) (0)
2 9 N ov 2 00 2 Finiteness of rigid cohomology with coefficients (2002) (0)
Problems and Solutions (2003) (0)
3 0 O ct 2 00 1 A p-adic local monodromy theorem (2008) (0)
Ju n 20 01 Quasi-unipotence of overconvergent F-crystals (2008) (0)
Solutions to the 62 nd William Lowell Putnam Mathematical Competition Saturday , December 1 , 2001 (2013) (0)
ON WORKSHOP 17 W 5118 “ p-ADIC COHOMOLOGY AND ARITHMETIC APPLICATIONS ” (2017) (0)
The p-adic local monodromy theorem: proof (2010) (0)
SOME p-ADIC DIFFERENTIAL EQUATIONS IN ARITHMETIC GEOMETRY (2004) (0)
Problems and Solutions (2004) (0)
N T ] 6 F eb 2 01 1 On Families of ( φ , Γ )-modules (2011) (0)
PRESS RELEASE: TETRAHEDRA WITH RATIONAL DIHEDRAL ANGLES (2020) (0)
Problems and Solutions (2004) (0)
Analytic Number Theory (PDF) (2005) (0)
Preface (2011) (0)
Square–Sum Pair Partitions (2015) (0)
The William Lowell Putnam Mathematical Competition 2001–2016 (2020) (0)
p -adic Differential Equations: Rigid cohomology (2010) (0)
Solutions to the 73 rd William Lowell Putnam Mathematical Competition Saturday , December 1 , 2012 (2015) (0)
Problems and Solutions (2000) (0)
Angle ranks of abelian varieties (2021) (0)
Problems and Solutions (2003) (0)
Urn Sampling and a Majorization Inequality (1997) (0)
p-adic Hodge theory (2010) (0)
Solutions to the 77 th William Lowell Putnam Mathematical Competition Saturday , December 3 , 2016 (0)
Good formal structures for flat meromorphic connections , III : Towards functorial modifications (2010) (0)
Solutions to the 70th William Lowell Putnam Mathematical Competition Saturday, December 5, 2009 (2009) (0)
Problems and Solutions (2000) (0)
PERFECTOID SPACES: AN ANNOTATED BIBLIOGRAPHY (2019) (0)
Solutions to the 80th William Lowell Putnam Mathematical Competition Saturday, December 7, 2019 (2019) (0)

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