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Mathematics

D-Index
35
Citations
4732
World Ranking
2795
National Ranking
1143

Research.com Recognitions

  • 2014 - Fellow of John Simon Guggenheim Memorial Foundation
  • 2013 - Fellow of the American Mathematical Society
  • 2006 - Fellow of Alfred P. Sloan Foundation

Overview

Kiran S. Kedlaya is affiliated with the University of California, San Diego, in the United States. Their research spans a significant range of topics primarily within mathematics and computer science.

The main fields of study associated with Kedlaya include:

  • Mathematics
  • Computer Science

Focusing on subfields, their work predominantly covers:

  • Geometry and Topology
  • Mathematical Physics
  • Computational Theory and Mathematics
  • Algebra and Number Theory
  • Artificial Intelligence

Kedlaya's research topics are diverse, with an emphasis on:

  • Algebraic Geometry and Number Theory
  • Polynomial and algebraic computation
  • Coding theory and cryptography
  • Advanced Algebra and Geometry
  • Advanced mathematical theories
  • Meromorphic and Entire Functions
  • Commutative Algebra and Its Applications

Frequent co-authors collaborating with Kedlaya are:

  • David Roe
  • Taylor Dupuy
  • Daniel M. Kane
  • Jonathan M. Kane
  • Evan M. O'Dorney

Kedlaya has contributed to several publication venues, with recurring appearances in:

  • arXiv (Cornell University)
  • Research in Number Theory
  • Contemporary Mathematics - American Mathematical Society
  • International Mathematics Research Notices
  • Journal of Number Theory

Significant recent papers authored by Kedlaya include:

  • Notes on isocrystals, 2022, published in Journal of Number Theory
  • Etale and crystalline companions, I, 2022, published in Épijournal de Géométrie Algébrique
  • The relative class number one problem for function fields, I, 2022, published in Research in Number Theory

Other papers in related collaborations or fields include:

  • Sato-Tate groups of abelian threefolds, 2021, arXiv (Cornell University)
  • Hypergeometric L-functions in average polynomial time, 2020, The Open Book Series

Kedlaya has authored books published by notable academic presses, reflecting their expertise:

  • p-adic Differential Equations, Cambridge University Press, 2022
  • Perfectoid Spaces, Springer International Publishing, 2022

Their academic recognitions include:

  • Fellow of John Simon Guggenheim Memorial Foundation (2014)
  • Fellow of the American Mathematical Society (2013)
  • Fellow of Alfred P. Sloan Foundation (2006)

Best Publications

  • Counting Points on Hyperelliptic Curves using Monsky-Washnitzer Cohomology

    Kiran S. Kedlaya

  • Fast Polynomial Factorization and Modular Composition

    Kiran S. Kedlaya;Christopher Umans

  • A p-adic local monodromy theorem

    Kiran S. Kedlaya

  • Relative P-adic Hodge Theory: Foundations

    Kiran Sridhara Kedlaya;Ruochuan Liu

  • Cohomology of arithmetic families of (,Γ)-modules

    Kiran S. Kedlaya;Jonathan Pottharst;Liang Xiao

  • p-adic Differential Equations

    Kiran Sridhara Kedlaya

  • Good formal structures for flat meromorphic connections, I: Surfaces

    Kiran S. Kedlaya

  • The algebraic closure of the power series field in positive characteristic

    Kiran S. Kedlaya;Kiran S. Kedlaya

  • Semistable reduction for overconvergent $F$-isocrystals I: Unipotence and logarithmic extensions

    Kiran S. Kedlaya

  • Sato-Tate distributions and Galois endomorphism modules in genus 2

    Francesc Fité;Kiran S. Kedlaya;Víctor Rotger;Andrew V. Sutherland

  • Slope filtrations revisited.

    Kiran S. Kedlaya

  • Semistable reduction for overconvergent F -isocrystals, III: Local semistable reduction at monomial valuations

    Kiran S. Kedlaya

  • Relative p-adic Hodge theory, II: Imperfect period rings

    Kiran S. Kedlaya;Ruochuan Liu

  • Finiteness of rigid cohomology with coefficients

    Kiran S. Kedlaya

  • Good formal structures for flat meromorphic connections, II: Excellent schemes

    Kiran S. Kedlaya

  • Fourier transforms and $p$-adic ‘Weil II’

    Kiran S. Kedlaya

  • Fast Modular Composition in any Characteristic

    K.S. Kedlaya;C. Umans

  • Good formal structures on flat meromorphic connections, I: Surfaces

    Kiran S. Kedlaya

  • A construction of polynomials with squarefree discriminants

    Kiran S. Kedlaya

  • The William Lowell Putnam Mathematical Competition, 1985-2000 : problems, solutions, and commentary

    Kiran Sridhara Kedlaya;Bjorn Poonen;Ravi Vakil

Frequent Co-Authors

Sergey Yekhanin
Sergey Yekhanin Microsoft (United States)
James Propp
James Propp University of Massachusetts Lowell
Jonathan M. Borwein
Jonathan M. Borwein University of Newcastle Australia
Jeffrey Shallit
Jeffrey Shallit University of Waterloo
Daniel M. Kane
Daniel M. Kane University of California, San Diego
Carl Pomerance
Carl Pomerance Dartmouth College
George E. Andrews
George E. Andrews Pennsylvania State University
Kenneth R. Davidson
Kenneth R. Davidson University of Waterloo

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