University of California, San Diego
United States
2014 - Fellow of John Simon Guggenheim Memorial Foundation
2013 - Fellow of the American Mathematical Society
2006 - Fellow of Alfred P. Sloan Foundation
Pure mathematics, Discrete mathematics, Field, Algebra and Cohomology are his primary areas of study. Kiran S. Kedlaya performs multidisciplinary study on Pure mathematics and Monodromy theorem in his works. His Discrete mathematics course of study focuses on Combinatorics and Characteristic polynomial.
The study incorporates disciplines such as Scheme, Algebraically closed field and Dimension of an algebraic variety in addition to Field. His Algebra study incorporates themes from Vector bundle and Frobenius group. He combines subjects such as Arithmetic, Subspace topology, Fourier transform and Differential equation with his study of Cohomology.
His primary scientific interests are in Pure mathematics, Discrete mathematics, Combinatorics, Field and Algebra. His study in Hodge theory, Conjecture, Galois module, Meromorphic function and Cohomology falls within the category of Pure mathematics. His biological study spans a wide range of topics, including Hyperelliptic curve and Perfectoid.
In Combinatorics, Kiran S. Kedlaya works on issues like Product, which are connected to Group. His studies deal with areas such as Scheme, Power series and Mathematical analysis as well as Field. His Finite field research is multidisciplinary, relying on both Riemann zeta function and Algebraic number.
His primary areas of study are Pure mathematics, Discrete mathematics, Perfectoid, Finite field and Abelian group. The various areas that Kiran S. Kedlaya examines in his Pure mathematics study include Witt vector and Extension. He integrates Discrete mathematics and Value in his research.
His Perfectoid research includes elements of Commutative property, Multiplicative function, Norm, Lemma and Product. His Finite field research also works with subjects such as
Conjecture that intertwine with fields like Sheaf and Smooth scheme,
Algebraic number which intersects with area such as Field. His study on Abelian group also encompasses disciplines like
Algebraic number field which connect with Abelian variety and Upper and lower bounds,
Group which is related to area like Endomorphism and Generalization.
Kiran S. Kedlaya mostly deals with Pure mathematics, Algebraic number, Étale cohomology, Discrete mathematics and Combinatorics. His studies in Pure mathematics integrate themes in fields like Variety and Reductive group. His study looks at the relationship between Algebraic number and fields such as Finite field, as well as how they intersect with chemical problems.
His research investigates the connection with Étale cohomology and areas like p-adic Hodge theory which intersect with concerns in Functor, Pullback, Galois module, Tensor product and Coherent sheaf. Kiran S. Kedlaya interconnects Transversality, Rigid analytic space and Eigenvalues and eigenvectors in the investigation of issues within Discrete mathematics. His work on Conjugacy class as part of general Combinatorics study is frequently linked to Key, bridging the gap between disciplines.
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Counting Points on Hyperelliptic Curves using Monsky-Washnitzer Cohomology
Kiran S. Kedlaya.
arXiv: Algebraic Geometry (2001)
Counting Points on Hyperelliptic Curves using Monsky-Washnitzer Cohomology
Kiran S. Kedlaya.
arXiv: Algebraic Geometry (2001)
A p-adic local monodromy theorem
Kiran S. Kedlaya.
Annals of Mathematics (2004)
A p-adic local monodromy theorem
Kiran S. Kedlaya.
Annals of Mathematics (2004)
Fast Polynomial Factorization and Modular Composition
Kiran S. Kedlaya;Christopher Umans.
Siam Journal on Control and Optimization (2011)
Fast Polynomial Factorization and Modular Composition
Kiran S. Kedlaya;Christopher Umans.
Siam Journal on Control and Optimization (2011)
Relative P-adic Hodge Theory: Foundations
Kiran Sridhara Kedlaya;Ruochuan Liu.
(2015)
Relative P-adic Hodge Theory: Foundations
Kiran Sridhara Kedlaya;Ruochuan Liu.
(2015)
Cohomology of arithmetic families of (,Γ)-modules
Kiran S. Kedlaya;Jonathan Pottharst;Liang Xiao.
Journal of the American Mathematical Society (2014)
Cohomology of arithmetic families of (,Γ)-modules
Kiran S. Kedlaya;Jonathan Pottharst;Liang Xiao.
Journal of the American Mathematical Society (2014)
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