Kedlaya, Kiran Sridhara 1974
Overview
Works:  18 works in 49 publications in 2 languages and 1,002 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Other, Editor 
Publication Timeline
.
Most widely held works by
Kiran Sridhara Kedlaya
The William Lowell Putnam Mathematical Competition 19852000 : problems, solutions, and commentary by
Kiran Sridhara Kedlaya(
Book
)
12 editions published between 2002 and 2011 in English and held by 561 WorldCat member libraries worldwide
Publisher description: The William Lowell Putnam Mathematical Competition is the premier undergraduate mathematical competition in North America. This volume contains problems from the years 19852000, with solutions and extensive commentary. It is unlike the first two Putnam volumes and unlike virtually every other problembased book, in that it places the problems in the context of important mathematical themes. The authors highlight connections to other problems, to the curriculum, and to more advanced topics. The best problems contain kernels of sophisticated ideas related to important current research, and yet the problems are accessible to undergraduates. The heart of the book is in the solutions, which have been compiled through extensive research. In editing the solutions, the authors have kept a student audience in mind, explaining techniques that have relevance to more than the problem at hand, suggesting references for further reading, and mentioning related problems, some of which are unsolved
12 editions published between 2002 and 2011 in English and held by 561 WorldCat member libraries worldwide
Publisher description: The William Lowell Putnam Mathematical Competition is the premier undergraduate mathematical competition in North America. This volume contains problems from the years 19852000, with solutions and extensive commentary. It is unlike the first two Putnam volumes and unlike virtually every other problembased book, in that it places the problems in the context of important mathematical themes. The authors highlight connections to other problems, to the curriculum, and to more advanced topics. The best problems contain kernels of sophisticated ideas related to important current research, and yet the problems are accessible to undergraduates. The heart of the book is in the solutions, which have been compiled through extensive research. In editing the solutions, the authors have kept a student audience in mind, explaining techniques that have relevance to more than the problem at hand, suggesting references for further reading, and mentioning related problems, some of which are unsolved
Padic differential equations by
Kiran Sridhara Kedlaya(
Book
)
10 editions published in 2010 in English and held by 254 WorldCat member libraries worldwide
"Although the very existence of a highly developed theory of padic ordinary differential equations is not entirely well known even within number theory, the subject is actually almost 50 years old. Here are circumstances, past and present, in which it arises"Provided by publisher
10 editions published in 2010 in English and held by 254 WorldCat member libraries worldwide
"Although the very existence of a highly developed theory of padic ordinary differential equations is not entirely well known even within number theory, the subject is actually almost 50 years old. Here are circumstances, past and present, in which it arises"Provided by publisher
Relative padic Hodge theory : foundations by
Kiran Sridhara Kedlaya(
Book
)
11 editions published in 2015 in 3 languages and held by 153 WorldCat member libraries worldwide
"We describe a new approach to relative padic Hodge theory based on systematic use of Witt vector constructions and nonarchimedean analytic geometry in the style of both Berkovich and Huber. We give a thorough development of [phi]modules over a relative Robba ring associated to a perfect Banach ring of characteristic p, including the relationship between these objects and étale Z[subscript p]local systems and Q[subscript p]local systems on the algebraic and analytic spaces associated to the base ring, and the relationship between (pro)étale cohomology and [phi]cohomology. We also make a critical link to mixed characteristic by exhibiting an equivalence of tensor categories between the finite étale algebras over an arbitrary perfect Banach algebra over a nontrivially normed complete field of characteristic p and the finite étale algebras over a corresponding Banach Q[subscript p]algebra. This recovers the homeomorphism between the absolute Galois groups of F[subscript p](([pi])) and Q[subscript p] ([mu] [subscript p][infinity]) given by the field of norms construction of Fontaine and Wintenberger, as well as generalizations considered by Andreatta, Brinon, Faltings, Gabber, Ramero, Scholl, and most recently Scholze. Using Huber's formalism of adic spaces and Scholze's formalism of perfectoid spaces, we globalize the constructions to give several descriptions of the étale local systems on analytic spaces over padic fields. One of these descriptions uses a relative version of the FarguesFontaine curve."
11 editions published in 2015 in 3 languages and held by 153 WorldCat member libraries worldwide
"We describe a new approach to relative padic Hodge theory based on systematic use of Witt vector constructions and nonarchimedean analytic geometry in the style of both Berkovich and Huber. We give a thorough development of [phi]modules over a relative Robba ring associated to a perfect Banach ring of characteristic p, including the relationship between these objects and étale Z[subscript p]local systems and Q[subscript p]local systems on the algebraic and analytic spaces associated to the base ring, and the relationship between (pro)étale cohomology and [phi]cohomology. We also make a critical link to mixed characteristic by exhibiting an equivalence of tensor categories between the finite étale algebras over an arbitrary perfect Banach algebra over a nontrivially normed complete field of characteristic p and the finite étale algebras over a corresponding Banach Q[subscript p]algebra. This recovers the homeomorphism between the absolute Galois groups of F[subscript p](([pi])) and Q[subscript p] ([mu] [subscript p][infinity]) given by the field of norms construction of Fontaine and Wintenberger, as well as generalizations considered by Andreatta, Brinon, Faltings, Gabber, Ramero, Scholl, and most recently Scholze. Using Huber's formalism of adic spaces and Scholze's formalism of perfectoid spaces, we globalize the constructions to give several descriptions of the étale local systems on analytic spaces over padic fields. One of these descriptions uses a relative version of the FarguesFontaine curve."
padic differential equations by
Kiran Sridhara Kedlaya(
)
1 edition published in 2010 in English and held by 11 WorldCat member libraries worldwide
1 edition published in 2010 in English and held by 11 WorldCat member libraries worldwide
The William Lowell Putnam Mathematical Competition problems and solutions : 19381964 by
Gerald L Alexanderson(
Book
)
1 edition published in 1985 in English and held by 5 WorldCat member libraries worldwide
Back by popular demand, the MAA is pleased to reissue this outstanding collection of problems and solutions from the Putnam Competitions covering the years 19381964. Problemists the world over, including all past and future Putnam Competitors, will revel in mastering the difficulties posed by this collection of problems from the first 25 William Lowell Putnam Competitions. Solutions to all 347 problems are given. In some cases multiple solutions are included, some which contestants could reasonably be expected to find under examination conditions, and others which are more elegant or utilize more sophisticated techniques. Valuable references and historical comments on many of the problems are presented. The book concludes with four articles on the Putnam competition written by G. Birkhoff, L.E. Bush, L.J. Mordell, and L.M. Kelly which are reprinted from the American Mathematical Monthly. There is great appeal here for all; teachers, students, and all those who love good problems and see them as an entree to beautiful and powerful ideas.Back cover
1 edition published in 1985 in English and held by 5 WorldCat member libraries worldwide
Back by popular demand, the MAA is pleased to reissue this outstanding collection of problems and solutions from the Putnam Competitions covering the years 19381964. Problemists the world over, including all past and future Putnam Competitors, will revel in mastering the difficulties posed by this collection of problems from the first 25 William Lowell Putnam Competitions. Solutions to all 347 problems are given. In some cases multiple solutions are included, some which contestants could reasonably be expected to find under examination conditions, and others which are more elegant or utilize more sophisticated techniques. Valuable references and historical comments on many of the problems are presented. The book concludes with four articles on the Putnam competition written by G. Birkhoff, L.E. Bush, L.J. Mordell, and L.M. Kelly which are reprinted from the American Mathematical Monthly. There is great appeal here for all; teachers, students, and all those who love good problems and see them as an entree to beautiful and powerful ideas.Back cover
The William Lowell Putnam Mathematical Competition problems, solutions, and commentary : 19852000(
Book
)
1 edition published in 2002 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 2002 in English and held by 4 WorldCat member libraries worldwide
The William Lowell Putnam mathematical competition problems and solutions(
Book
)
2 editions published between 2002 and 2008 in English and held by 2 WorldCat member libraries worldwide
2 editions published between 2002 and 2008 in English and held by 2 WorldCat member libraries worldwide
ANTS X : proceeding of the Tenth Algorithmic Number Theory Symposium : San Diego 2012(
)
1 edition published in 2013 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2013 in English and held by 2 WorldCat member libraries worldwide
Descent theorems for overconvergent Fcrystals by
Kiran Sridhara Kedlaya(
)
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
Complex multiplication and explicit class field theory by
Kiran Sridhara Kedlaya(
)
1 edition published in 1996 in English and held by 1 WorldCat member library worldwide
1 edition published in 1996 in English and held by 1 WorldCat member library worldwide
[I]p[/I]adic Differential Equations by
Kiran Sridhara Kedlaya(
)
1 edition published in 2010 in English and held by 1 WorldCat member library worldwide
1 edition published in 2010 in English and held by 1 WorldCat member library worldwide
Continuous functions on compact subsets of local fields by
Manjul Bhargava(
)
1 edition published in 1999 in English and held by 1 WorldCat member library worldwide
1 edition published in 1999 in English and held by 1 WorldCat member library worldwide
A census of zeta functions of quartic K$3$ surfaces over $\mathbb{F}_{2}$(
)
1 edition published in 2016 in English and held by 1 WorldCat member library worldwide
Abstract : We compute the complete set of candidates for the zeta function of a K $3$ surface over $\mathbb{F}_{2}$ consistent with the Weil and Tate conjectures, as well as the complete set of zeta functions of smooth quartic surfaces over $\mathbb{F}_{2}$ . These sets differ substantially, but we do identify natural subsets which coincide. This gives some numerical evidence towards a HondaTate theorem for transcendental zeta functions of K $3$ surfaces; such a result would refine a recent theorem of Taelman, in which one must allow an uncontrolled base field extension
1 edition published in 2016 in English and held by 1 WorldCat member library worldwide
Abstract : We compute the complete set of candidates for the zeta function of a K $3$ surface over $\mathbb{F}_{2}$ consistent with the Weil and Tate conjectures, as well as the complete set of zeta functions of smooth quartic surfaces over $\mathbb{F}_{2}$ . These sets differ substantially, but we do identify natural subsets which coincide. This gives some numerical evidence towards a HondaTate theorem for transcendental zeta functions of K $3$ surfaces; such a result would refine a recent theorem of Taelman, in which one must allow an uncontrolled base field extension
Evaluating integer polynomials at the exponentials of algebraic numbers by
Kiran Sridhara Kedlaya(
Book
)
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
Abstract: "In 1985 Lenstra and van der Hulst [2] demonstrated that sufficiently strong explicit measures of algebraic independence can be used to provide fast factorization of multivariate integer polynomials. Motivated by their result, we adapt an old approach of Mahler [6] to provide the first explicit measure of algebraic independence for e[superscript [alpha]₁] ..., e[superscript [alpha][subscript m], where [alpha]₁ ..., [alpha][subscript m] are algebraic numbers linearly independent over the rationals. We also show that, because of the amount of precision required, these explicit measures of algebraic independence are not strong enough, even in the most promising cases, to produce fast factorizations of multivariate integer polynomials."
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
Abstract: "In 1985 Lenstra and van der Hulst [2] demonstrated that sufficiently strong explicit measures of algebraic independence can be used to provide fast factorization of multivariate integer polynomials. Motivated by their result, we adapt an old approach of Mahler [6] to provide the first explicit measure of algebraic independence for e[superscript [alpha]₁] ..., e[superscript [alpha][subscript m], where [alpha]₁ ..., [alpha][subscript m] are algebraic numbers linearly independent over the rationals. We also show that, because of the amount of precision required, these explicit measures of algebraic independence are not strong enough, even in the most promising cases, to produce fast factorizations of multivariate integer polynomials."
Ants x : proceedings of the tenth algorithmic number theory symposium, San Diego 2012(
)
1 edition published in 2013 in English and held by 1 WorldCat member library worldwide
1 edition published in 2013 in English and held by 1 WorldCat member library worldwide
Relative padic hodge theory : foundations by
Kiran Sridhara Kedlaya(
)
1 edition published in 2015 in English and held by 1 WorldCat member library worldwide
1 edition published in 2015 in English and held by 1 WorldCat member library worldwide
A procedure for solving certain simultaneous generalized Pell equations by
Kiran Sridhara Kedlaya(
Book
)
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
Abstract: "Consider the system of two generalized Pell equations in three integer unknowns: ax²  by² = c dz²  ey² = f. If the above system is nontrivial, it is well known that deep results of Baker can be used to effectively bound the absolute value of all integer solutions. Motivated by an idea of Cohn, we present a method for solving many of these systems in an elementary fashion. Using the method, new and old results of P[subscript t]sets can be obtained systematically. Furthermore, the method can be applied to the problem of determining integer points on certain elliptic curves."
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
Abstract: "Consider the system of two generalized Pell equations in three integer unknowns: ax²  by² = c dz²  ey² = f. If the above system is nontrivial, it is well known that deep results of Baker can be used to effectively bound the absolute value of all integer solutions. Motivated by an idea of Cohn, we present a method for solving many of these systems in an elementary fashion. Using the method, new and old results of P[subscript t]sets can be obtained systematically. Furthermore, the method can be applied to the problem of determining integer points on certain elliptic curves."
Mathematical contests 19961997 : olympiad problems and solutions from around the world(
Book
)
1 edition published in 1998 in English and held by 1 WorldCat member library worldwide
1 edition published in 1998 in English and held by 1 WorldCat member library worldwide
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Associated Subjects
Algorithms Class field theory Differential equations Diophantine analysis Geometry, Algebraic Hodge theory Mathematics MathematicsCompetitions Multiplication, Complex Number theory padic analysis padic fields Polynomials Putnam, William Lowell,III United States William Lowell Putnam Mathematical Competition
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Alternative Names
Kedlaya, Kiran.
Kedlaya, Kiran S.
Kedlaya, Kiran S. 1974...
Kedlaya, Kiran S. (Kiran Sridhara), 1974
Kedlaya, Kiran Sridhara
Kiran Kedlaya American mathematician
Kiran Kedlaya Amerikaans wiskundige
Kiran Kedlaya amerikansk matematikar
Kiran Kedlaya amerikansk matematiker
Kiran Kedlaya matemático estadounidense
Kiran Kedlaya USamerikanischer Mathematiker
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