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Arithmetic, Geometry, Cryptography and Coding Theory
 
Edited by: Nils Bruin :  Simon Fraser University, Vancouver, British Columbia, Canada
David Kohel :  Aix-Marseille University, Marseille, France
Chloe Martindale :  University of Bristol, Bristol, UK
Softcover ISBN:  978-1-4704-7685-4
Product Code:  CONM/832
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
eBook ISBN:  978-1-4704-8190-2
Product Code:  CONM/832.E
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
Softcover ISBN:  978-1-4704-7685-4
eBook: ISBN:  978-1-4704-8190-2
Product Code:  CONM/832.B
List Price: $264.00 $199.50
MAA Member Price: $237.60 $179.55
AMS Member Price: $211.20 $159.60
Add to cart
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Arithmetic, Geometry, Cryptography and Coding Theory
Edited by: Nils Bruin :  Simon Fraser University, Vancouver, British Columbia, Canada
David Kohel :  Aix-Marseille University, Marseille, France
Chloe Martindale :  University of Bristol, Bristol, UK
Softcover ISBN:  978-1-4704-7685-4
Product Code:  CONM/832
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
eBook ISBN:  978-1-4704-8190-2
Product Code:  CONM/832.E
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
Softcover ISBN:  978-1-4704-7685-4
eBook ISBN:  978-1-4704-8190-2
Product Code:  CONM/832.B
List Price: $264.00 $199.50
MAA Member Price: $237.60 $179.55
AMS Member Price: $211.20 $159.60
Add to cart
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 832; 2026; 209 pp
    MSC: Primary 11; 14

    This volume contains the proceedings of the 19th International Conference on Arithmetic, Geometry, Cryptography and Coding Theory (AGC2T), held from June 5 to June 9, 2023, at the Centre International de Rencontres Mathématiques in Luminy (Marseille, France).

    The conference brought together researchers at the interface of arithmetic and algebraic geometry with computer science and information theory including, in particular, applications to cryptography and error correcting codes. The articles in this volume are based on talks given at the conference. They represent a broad spectrum of research ranging from abstract theory to explicit algorithms, with the majority of articles devoted to curves and abelian varieties over finite fields, their isogenies, and their endomorphisms.
    Readership

    Graduate students and research mathematicians interested in curves and abelian varieties over finite fields.
  • Table of Contents
     
     
    • Articles
    • Yves Aubry, Fabien Herbaut and Julien Monaldi — Closed points on curves over finite fields
    • Stéphane Ballet, Alexis Bonnecaze and Bastien Pacifico — Multiplication in finite fields with Chudnovsky-type algorithms over the projective line
    • Jean-Marc Couveignes and Jean Gasnier — Explicit Riemann-Roch spaces in the Hilbert class field
    • Kiran S. Kedlaya — The relative class number one problem for function fields, II
    • Harun Kır — The refined Humbert invariant for an automorphism group of a genus 2 curve
    • M. Koutchoukali — On the coefficients of the zeta-function’s $L$-polynomial for algebraic function fields over finite fields
    • Dimitri Koshelev — Generation of two “independent” points on an elliptic curve of $j$-invariant $\neq 0, 1728$
    • Sergey Rybakov — Principal polarization on products of abelian varieties over finite fields
    • Yuri G. Zarhin — Superelliptic Jacobians and central simple representations
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Contemporary Mathematics
Volume: 832; 2026; 209 pp
MSC: Primary 11; 14

This volume contains the proceedings of the 19th International Conference on Arithmetic, Geometry, Cryptography and Coding Theory (AGC2T), held from June 5 to June 9, 2023, at the Centre International de Rencontres Mathématiques in Luminy (Marseille, France).

The conference brought together researchers at the interface of arithmetic and algebraic geometry with computer science and information theory including, in particular, applications to cryptography and error correcting codes. The articles in this volume are based on talks given at the conference. They represent a broad spectrum of research ranging from abstract theory to explicit algorithms, with the majority of articles devoted to curves and abelian varieties over finite fields, their isogenies, and their endomorphisms.
Readership

Graduate students and research mathematicians interested in curves and abelian varieties over finite fields.
  • Articles
  • Yves Aubry, Fabien Herbaut and Julien Monaldi — Closed points on curves over finite fields
  • Stéphane Ballet, Alexis Bonnecaze and Bastien Pacifico — Multiplication in finite fields with Chudnovsky-type algorithms over the projective line
  • Jean-Marc Couveignes and Jean Gasnier — Explicit Riemann-Roch spaces in the Hilbert class field
  • Kiran S. Kedlaya — The relative class number one problem for function fields, II
  • Harun Kır — The refined Humbert invariant for an automorphism group of a genus 2 curve
  • M. Koutchoukali — On the coefficients of the zeta-function’s $L$-polynomial for algebraic function fields over finite fields
  • Dimitri Koshelev — Generation of two “independent” points on an elliptic curve of $j$-invariant $\neq 0, 1728$
  • Sergey Rybakov — Principal polarization on products of abelian varieties over finite fields
  • Yuri G. Zarhin — Superelliptic Jacobians and central simple representations
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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