Parshin, A. N.
Overview
Works:  120 works in 340 publications in 4 languages and 3,971 library holdings 

Genres:  Conference papers and proceedings Biography 
Roles:  Editor, Author, Dedicatee, Other, Translator, Redactor, Commentator, Interviewee 
Publication Timeline
.
Most widely held works by
A. N Parshin
Algebra and analysis : proceedings of the International Centennial Chebotarev Conference held in Kazan, Russia, June 511,
1994 by
M. M Arslanov(
)
7 editions published between 1996 and 2016 in English and held by 575 WorldCat member libraries worldwide
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide uptodate coverage of new developments, methods and applications
7 editions published between 1996 and 2016 in English and held by 575 WorldCat member libraries worldwide
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide uptodate coverage of new developments, methods and applications
Number theory II : algebraic number theory by
I. R Shafarevich(
Book
)
26 editions published between 1991 and 1998 in 3 languages and held by 544 WorldCat member libraries worldwide
26 editions published between 1991 and 1998 in 3 languages and held by 544 WorldCat member libraries worldwide
Algebraic geometry IV : linear algebraic groups, invariant theory by
A. N Parshin(
Book
)
21 editions published between 1994 and 2009 in English and German and held by 411 WorldCat member libraries worldwide
This volume of the Encyclopaedia contains two contributions on closely related subjects: the theory of linear algebraic groups and invariant theory. The first part is written by T.A. Springer, a wellknown expert in the first mentioned field. He presents a comprehensive survey, which contains numerous sketched proofs and he discusses the particular features of algebraic groups over special fields (finite, local, and global). The authors of part two, E.B. Vinberg and V.L. Popov, are among the most active researchers in invariant theory. The last 20 years have been a period of vigorous development in this field due to the influence of modern methods from algebraic geometry. The book will be very useful as a reference and research guide to graduate students and researchers in mathematics and theoretical physics
21 editions published between 1994 and 2009 in English and German and held by 411 WorldCat member libraries worldwide
This volume of the Encyclopaedia contains two contributions on closely related subjects: the theory of linear algebraic groups and invariant theory. The first part is written by T.A. Springer, a wellknown expert in the first mentioned field. He presents a comprehensive survey, which contains numerous sketched proofs and he discusses the particular features of algebraic groups over special fields (finite, local, and global). The authors of part two, E.B. Vinberg and V.L. Popov, are among the most active researchers in invariant theory. The last 20 years have been a period of vigorous development in this field due to the influence of modern methods from algebraic geometry. The book will be very useful as a reference and research guide to graduate students and researchers in mathematics and theoretical physics
Algebra VII : combinatorial group theory, applications to geometry by
A. N Parshin(
Book
)
13 editions published between 1991 and 1993 in English and held by 333 WorldCat member libraries worldwide
From the reviews of the first printing of this book, published as volume 58 of the Encyclopaedia of Mathematical Sciences: " ... This book will be very useful as a reference and guide to researchers and graduate students in algebra and and topology." Acta Scientiarum Mathematicarum, Ungarn, 1994 " ... The book under review consists of two monographs on geometric aspects of group theory: Combinatorial group theory and fundamental groups" by D.J. Collins and H. Zieschang ... : "Some problems of group theory related to geometry" by R.I. Grigorchuk and P.F. Kurchanov. ... Together, these two articles form a wideranging survey of combinatorial group theory, with emphasis very much on the geometric roots of the subject. This will be a useful reference work for the expert, as well as providing an overview of the subject for the outsider or novice. Many different topics are described and explored, with the main results presented but not proved. This allows the interested reader to get the flavour of these topics without becoming bogged down in detail. Both articles give comprehensive bibliographies, so that it is possible to use this book as the starting point for a more detailed study of a particular topic of interest. ... In summary, a very interesting book! Bulletin of the London Mathematical Society, 1996 " ... In both essays the authors give clear and comprehensive definitions, examples and statements (but not proofs) of theorems, so that the book can be understood by a reader with a minimal background in group theory or geometry. Such a reader, needing to find out what is known in this area, will find this a full and accessible store of information." Contemporary Physics, 1994 " ... This survey (Part II) presents for the first time that problems in monograph form and by the way offers a unifying treatment of the various approaches to their solutions, as far as they are known, together with hints to open problems. A titbit for every interested reader!" Monatshefte für Mathematik, 1995
13 editions published between 1991 and 1993 in English and held by 333 WorldCat member libraries worldwide
From the reviews of the first printing of this book, published as volume 58 of the Encyclopaedia of Mathematical Sciences: " ... This book will be very useful as a reference and guide to researchers and graduate students in algebra and and topology." Acta Scientiarum Mathematicarum, Ungarn, 1994 " ... The book under review consists of two monographs on geometric aspects of group theory: Combinatorial group theory and fundamental groups" by D.J. Collins and H. Zieschang ... : "Some problems of group theory related to geometry" by R.I. Grigorchuk and P.F. Kurchanov. ... Together, these two articles form a wideranging survey of combinatorial group theory, with emphasis very much on the geometric roots of the subject. This will be a useful reference work for the expert, as well as providing an overview of the subject for the outsider or novice. Many different topics are described and explored, with the main results presented but not proved. This allows the interested reader to get the flavour of these topics without becoming bogged down in detail. Both articles give comprehensive bibliographies, so that it is possible to use this book as the starting point for a more detailed study of a particular topic of interest. ... In summary, a very interesting book! Bulletin of the London Mathematical Society, 1996 " ... In both essays the authors give clear and comprehensive definitions, examples and statements (but not proofs) of theorems, so that the book can be understood by a reader with a minimal background in group theory or geometry. Such a reader, needing to find out what is known in this area, will find this a full and accessible store of information." Contemporary Physics, 1994 " ... This survey (Part II) presents for the first time that problems in monograph form and by the way offers a unifying treatment of the various approaches to their solutions, as far as they are known, together with hints to open problems. A titbit for every interested reader!" Monatshefte für Mathematik, 1995
Algebraic geometry III : complex algebraic varieties, algebraic curves and their Jacobians by
Viktor S Kulikov(
Book
)
19 editions published between 1994 and 1998 in English and held by 320 WorldCat member libraries worldwide
Dealing with the subject of complex algebraic geometry, this work offers a succinct summary of the areas it covers, while providing coverage of certain important fields. It presents an introduction to the work on the interactions between the classical area of the geometry of complex algebraic curves and their Jacobian varieties
19 editions published between 1994 and 1998 in English and held by 320 WorldCat member libraries worldwide
Dealing with the subject of complex algebraic geometry, this work offers a succinct summary of the areas it covers, while providing coverage of certain important fields. It presents an introduction to the work on the interactions between the classical area of the geometry of complex algebraic curves and their Jacobian varieties
Number theory I : fundamental problems, ideas and theories by
I︠U︡. I Manin(
Book
)
19 editions published between 1991 and 1995 in English and held by 290 WorldCat member libraries worldwide
19 editions published between 1991 and 1995 in English and held by 290 WorldCat member libraries worldwide
Algebraic geometry V : fano varieties by
Vasilij Alekseevič Iskovskih(
Book
)
17 editions published between 1994 and 2010 in English and held by 277 WorldCat member libraries worldwide
17 editions published between 1994 and 2010 in English and held by 277 WorldCat member libraries worldwide
Algebraic number theory and algebraic geometry : papers dedicated to A.N. Parshin on the occasion of his sixtieth birthday(
Book
)
10 editions published between 2002 and 2012 in English and held by 264 WorldCat member libraries worldwide
10 editions published between 2002 and 2012 in English and held by 264 WorldCat member libraries worldwide
Algebra VI : combinatorial and asymptotic methods of algebra : nonassociative structures(
Book
)
1 edition published in 1995 in English and held by 68 WorldCat member libraries worldwide
"This book contains two contributions: "Combinatorial and Asymptotic Methods in Algebra" by V. A. Ufnarovskij is a survey of various combinatorial methods in infinitedimensional algebras, widely interpreted to contain homological algebra and vigorously developing computer algebra, and narrowly interpreted as the study of algebraic objects defined by generators and their relations. The author shows how objects like words, graphs and automata provide valuable information in asymptotic studies. The main methods emply the notions of Grobner bases, generating functions, growth and those of homological algebra. Treated are also problems of relationships between different series, such as Hilbert, Poincare and PoincareBetti series. Hyperbolic and quantum groups are also discussed. The reader does not need much of background material for he can find definitions and simple properties of the defined notions introduced along the way." ""NonAssociative Structures" by E. N. Kuz'min and I. P. Shestakov surveys the modern state of the theory of nonassociative structures that are nearly associative. Jordan, alternative, Malcev, and quasigroup algebras are discussed as well as applications of these structures in various areas of mathematics and primarily their relationship with the associative algebras. Quasigroups and loops are treated too. The survey is selfcontained and complete with references to proofs in the literature." "The book will be of great interest to graduate students and researchers in mathematics, computer science and theoretical physics."BOOK JACKET
1 edition published in 1995 in English and held by 68 WorldCat member libraries worldwide
"This book contains two contributions: "Combinatorial and Asymptotic Methods in Algebra" by V. A. Ufnarovskij is a survey of various combinatorial methods in infinitedimensional algebras, widely interpreted to contain homological algebra and vigorously developing computer algebra, and narrowly interpreted as the study of algebraic objects defined by generators and their relations. The author shows how objects like words, graphs and automata provide valuable information in asymptotic studies. The main methods emply the notions of Grobner bases, generating functions, growth and those of homological algebra. Treated are also problems of relationships between different series, such as Hilbert, Poincare and PoincareBetti series. Hyperbolic and quantum groups are also discussed. The reader does not need much of background material for he can find definitions and simple properties of the defined notions introduced along the way." ""NonAssociative Structures" by E. N. Kuz'min and I. P. Shestakov surveys the modern state of the theory of nonassociative structures that are nearly associative. Jordan, alternative, Malcev, and quasigroup algebras are discussed as well as applications of these structures in various areas of mathematics and primarily their relationship with the associative algebras. Quasigroups and loops are treated too. The survey is selfcontained and complete with references to proofs in the literature." "The book will be of great interest to graduate students and researchers in mathematics, computer science and theoretical physics."BOOK JACKET
Number Theory I : Fundamental Problems, Ideas and Theories by
A. N Parshin(
)
1 edition published in 1995 in English and held by 60 WorldCat member libraries worldwide
This book surveys from a unified point of view both the modern state and the trends of continuing development of various branches of number theory. Motivated by elementary problems (including some modern areas such as cryptography, factorization and primality testing), the central ideas of modern theories are exposed: algebraic number theory, calculations and properties of Galois groups, nonAbelian generalizations of class field theory, recursive computability and links with Diophantine equations, the arithmetic of algebraic varieties, connections with modular forms, zeta and Lfunctions. The authors have tried to present the most significant results and methods of modern time. An overview of the major conjectures is also given in order to illustrate current thinking in number theory. Most of these conjectures are based on analogies between functions and numbers, and on connections with other branches of mathematics such as algebraic topology, analysis, representation theory and geometry
1 edition published in 1995 in English and held by 60 WorldCat member libraries worldwide
This book surveys from a unified point of view both the modern state and the trends of continuing development of various branches of number theory. Motivated by elementary problems (including some modern areas such as cryptography, factorization and primality testing), the central ideas of modern theories are exposed: algebraic number theory, calculations and properties of Galois groups, nonAbelian generalizations of class field theory, recursive computability and links with Diophantine equations, the arithmetic of algebraic varieties, connections with modular forms, zeta and Lfunctions. The authors have tried to present the most significant results and methods of modern time. An overview of the major conjectures is also given in order to illustrate current thinking in number theory. Most of these conjectures are based on analogies between functions and numbers, and on connections with other branches of mathematics such as algebraic topology, analysis, representation theory and geometry
Algebra I : basic notions of algebra by
Aleksej Ivanovich Kostrikin(
Book
)
1 edition published in 1990 in English and held by 60 WorldCat member libraries worldwide
1 edition published in 1990 in English and held by 60 WorldCat member libraries worldwide
Algebraic geometry I : algebraic curves, algebraic manifolds and schemes by
V. I Danilov(
Book
)
5 editions published between 1994 and 2007 in English and held by 57 WorldCat member libraries worldwide
This book is a very readable introduction to algebraic geometry and will be immensely useful to mathematicians working in algebraic geometry and complex analysis and especially to graduate students in these fields
5 editions published between 1994 and 2007 in English and held by 57 WorldCat member libraries worldwide
This book is a very readable introduction to algebraic geometry and will be immensely useful to mathematicians working in algebraic geometry and complex analysis and especially to graduate students in these fields
Algebra. : Finitedimensional division algebras(
Book
)
1 edition published in 1996 in English and held by 49 WorldCat member libraries worldwide
1 edition published in 1996 in English and held by 49 WorldCat member libraries worldwide
Algebraic number theory by Helmut Koch(
Book
)
3 editions published in 1992 in English and held by 38 WorldCat member libraries worldwide
3 editions published in 1992 in English and held by 38 WorldCat member libraries worldwide
Pavel Aleksandrovich Florenskiĭ(
Book
)
2 editions published in 2013 in Russian and held by 26 WorldCat member libraries worldwide
2 editions published in 2013 in Russian and held by 26 WorldCat member libraries worldwide
Algebraic curves, algebraic manifolds and schemes(
Book
)
1 edition published in 1994 in English and held by 24 WorldCat member libraries worldwide
1 edition published in 1994 in English and held by 24 WorldCat member libraries worldwide
Algebraic geometry II : cohomology of algebraic varieties, algebraic surfaces(
Book
)
7 editions published between 1994 and 1996 in English and held by 21 WorldCat member libraries worldwide
"This EMS volume consists of two parts. The first part is devoted to cohomology of algebraic varieties. The second part deals with algebraic surfaces. The authors, who are wellknown experts in the field, have taken pains to present the material rigorously and coherently. The book contains numerous examples and insights on various topics."BOOK JACKET. "This book will be immensely useful to mathematicians and graduate students working in algebraic geometry, arithmetical algebraic geometry, complex analysis and related fields."Jacket
7 editions published between 1994 and 1996 in English and held by 21 WorldCat member libraries worldwide
"This EMS volume consists of two parts. The first part is devoted to cohomology of algebraic varieties. The second part deals with algebraic surfaces. The authors, who are wellknown experts in the field, have taken pains to present the material rigorously and coherently. The book contains numerous examples and insights on various topics."BOOK JACKET. "This book will be immensely useful to mathematicians and graduate students working in algebraic geometry, arithmetical algebraic geometry, complex analysis and related fields."Jacket
Seminar Russkai︠a︡ filosofii︠a︡: tradit︠s︡ii︠a︡ i sovremennostʹ : 20042009 by Seminar "Russkai︠a︡ filosofii︠a︡: tradit︠s︡ii︠a︡ i sovremennostʹ"(
Book
)
1 edition published in 2011 in Russian and held by 20 WorldCat member libraries worldwide
1 edition published in 2011 in Russian and held by 20 WorldCat member libraries worldwide
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Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Шафаревич, И. Р (Игорь Ростиславович) 1923 Honoree Author Editor
 Arslanov, M. M. Author
 Kostrikin, Aleksej I. Author Editor
 Манин, Ю. И Author
 Панчишкин, А. А (Алексей Алексеевич)
 Vostokov, S. V. Other Editor
 Zarhin, Yuri 1951 Other Editor
 Gamkrelidze, Revaz V.
 Shokurov, V. V.
 Kurchanov, P. F.
Useful Links
Associated Subjects
Algebra Algebra, Homological Algebraic number theory Algebraic topology Algebraic varieties Combinatorial analysis Combinatorial group theory Curves, Algebraic Data encryption (Computer science) Diophantine analysis Florenskiĭ, P. A.(Pavel Aleksandrovich), Geometric group theory Geometry, Algebraic Global analysis (Mathematics) Group theory Hodge theory Homology theory Invariants Jacobians Linear algebraic groups Logic, Symbolic and mathematical Manifolds (Mathematics) Mathematical analysis Mathematical physics Mathematics Nonassociative algebras Number theory Philosophers Philosophy Philosophy, Russian Russia Schemes (Algebraic geometry) Soviet Union Surfaces, Algebraic Topological groups Transcendental numbers Tyurin, Andrej
Covers
Alternative Names
Aleksej Nikolaevič Paršin
Aleksej Nikolaevič Paršin matemático ruso
Alexei Nikolaevich Parshin mathématicien russe
Alexei Nikolaevich Parshin Russian mathematician
Alexei Nikolajewitsch Parschin mathématicien russe
Alexei Nikolajewitsch Parschin Russisch wiskundige
Alexei Nikolajewitsch Parschin russischer Mathematiker
Alexey Parshin
Parschin, Alexei Nikolajewitsch 1942
Parshin, A. N.
Parshin, A.N. 1942
Parshin, Alekseĭ Nikolaevich
Parshin, Aleksey Nikolaevich
Parshin, Aleksey Nikolaevich 1942
Parshin, Alexei N.
Parshin, Alexei Nikolaevich
Paršin, A. N.
Paršin, A. N. 1942
Paršin, Aleksej N. 1942
Pars̆in, Alexej Nikolaevic̆
Паршин А.Н.
Паршин, Алексей Николаевич 1942...
Languages