Softcover ISBN:  9781470472603 
Product Code:  CONM/796 
List Price:  $80.00 
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AMS Member Price:  $63.96 
eBook ISBN:  9781470476090 
Product Code:  CONM/796.E 
List Price:  $0.00 
Softcover ISBN:  9781470472603 
eBook: ISBN:  9781470476090 
Product Code:  CONM/796.B 
List Price:  $80.00 
Softcover ISBN:  9781470472603 
Product Code:  CONM/796 
List Price:  $80.00 
MAA Member Price:  $71.96 
AMS Member Price:  $63.96 
eBook ISBN:  9781470476090 
Product Code:  CONM/796.E 
List Price:  $0.00 
Softcover ISBN:  9781470472603 
eBook ISBN:  9781470476090 
Product Code:  CONM/796.B 
List Price:  $80.00 

Book DetailsContemporary MathematicsVolume: 796; 2024; 373 ppMSC: Primary 11; 14
This book will be published Open Access with a Creative Commons Attribution 4.0 International License (CC BY 4.0). The eBook can be downloaded electronically for free.
This volume contains the proceedings of the LuCaNT (LMFDB, Computation, and Number Theory) conference held from July 10–14, 2023, at the Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, Rhode Island and affiliated with Brown University.
This conference provided an opportunity for researchers, scholars, and practitioners to exchange ideas, share advances, and collaborate in the fields of computation, mathematical databases, number theory, and arithmetic geometry. The papers that appear in this volume record recent advances in these areas, with special focus on the LMFDB (the LFunctions and Modular Forms Database), an online resource for mathematical objects arising in the Langlands program and the connections between them.
ReadershipGraduate students and research mathematicians interested in number theory, arithmetic geometry, and computation.

Table of Contents

Articles

Christian Bagshaw, Michael J. Jacobson, Renate Scheidler and Nickolas Rollick — Improved methods for finding imaginary quadratic fields with high $n$rank

Ce Bian, Andrew R. Booker, Austin Docherty, Michael J. Jacobson Jr. and Andrei SeymourHowell — Unconditional computation of the class groups of real quadratic fields

Kiran S. Kedlaya — The relative class number one problem for function fields, III

John E. Cremona and Andrew V. Sutherland — Computing the endomorphism ring of an elliptic curve over a number field

Jacob Mayle and Rakvi — Serre curves relative to obstructions modulo 2

Barinder S. Banwait, Armand Brumer, Hyun Jong Kim, Zev Klagsbrun, Jacob Mayle, Padmavathi Srinivasan and Isabel Vogt — Computing nonsurjective primes associated to Galois representations of genus $2$ curves

Noam D. Elkies — Families of genus2 curves with 5torsion

Raymond van Bommel, Shiva Chidambaram, Edgar Costa and Jean Kieffer — Computing isogeny classes of typical principally polarized abelian surfaces over the rationals

Francesca Bianchi and Oana Padurariu — Rational points on rank 2 genus 2 bielliptic curves in the LMFDB

Eran Assaf, Watson Ladd, Gustavo Rama, Gonzalo Tornaría and John Voight — A database of paramodular forms from quinary orthogonal modular forms

Håvard DammJohnsen — Modular algorithms for Gross–Stark units and Stark–Heegner points

Eran Assaf, Angelica Babei, Ben Breen, Edgar Costa, Juanita DuqueRosero, Aleksander Horawa, Jean Kieffer, Avinash Kulkarni, Grant Molnar, Sam Schiavone and John Voight — A database of basic numerical invariants of Hilbert modular surfaces

David W. Farmer, Sally Koutsoliotas, Stefan Lemurell and David P. Roberts — The landscape of Lfunctions: degree 3 and conductor 1

Jonathan Komada Eriksen, Lorenz Panny, Jana Sotáková and Mattia Veroni — Deuring for the people: Supersingular elliptic curves with prescribed endomorphism ring in general characteristic


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This book will be published Open Access with a Creative Commons Attribution 4.0 International License (CC BY 4.0). The eBook can be downloaded electronically for free.
This volume contains the proceedings of the LuCaNT (LMFDB, Computation, and Number Theory) conference held from July 10–14, 2023, at the Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, Rhode Island and affiliated with Brown University.
This conference provided an opportunity for researchers, scholars, and practitioners to exchange ideas, share advances, and collaborate in the fields of computation, mathematical databases, number theory, and arithmetic geometry. The papers that appear in this volume record recent advances in these areas, with special focus on the LMFDB (the LFunctions and Modular Forms Database), an online resource for mathematical objects arising in the Langlands program and the connections between them.
Graduate students and research mathematicians interested in number theory, arithmetic geometry, and computation.

Articles

Christian Bagshaw, Michael J. Jacobson, Renate Scheidler and Nickolas Rollick — Improved methods for finding imaginary quadratic fields with high $n$rank

Ce Bian, Andrew R. Booker, Austin Docherty, Michael J. Jacobson Jr. and Andrei SeymourHowell — Unconditional computation of the class groups of real quadratic fields

Kiran S. Kedlaya — The relative class number one problem for function fields, III

John E. Cremona and Andrew V. Sutherland — Computing the endomorphism ring of an elliptic curve over a number field

Jacob Mayle and Rakvi — Serre curves relative to obstructions modulo 2

Barinder S. Banwait, Armand Brumer, Hyun Jong Kim, Zev Klagsbrun, Jacob Mayle, Padmavathi Srinivasan and Isabel Vogt — Computing nonsurjective primes associated to Galois representations of genus $2$ curves

Noam D. Elkies — Families of genus2 curves with 5torsion

Raymond van Bommel, Shiva Chidambaram, Edgar Costa and Jean Kieffer — Computing isogeny classes of typical principally polarized abelian surfaces over the rationals

Francesca Bianchi and Oana Padurariu — Rational points on rank 2 genus 2 bielliptic curves in the LMFDB

Eran Assaf, Watson Ladd, Gustavo Rama, Gonzalo Tornaría and John Voight — A database of paramodular forms from quinary orthogonal modular forms

Håvard DammJohnsen — Modular algorithms for Gross–Stark units and Stark–Heegner points

Eran Assaf, Angelica Babei, Ben Breen, Edgar Costa, Juanita DuqueRosero, Aleksander Horawa, Jean Kieffer, Avinash Kulkarni, Grant Molnar, Sam Schiavone and John Voight — A database of basic numerical invariants of Hilbert modular surfaces

David W. Farmer, Sally Koutsoliotas, Stefan Lemurell and David P. Roberts — The landscape of Lfunctions: degree 3 and conductor 1

Jonathan Komada Eriksen, Lorenz Panny, Jana Sotáková and Mattia Veroni — Deuring for the people: Supersingular elliptic curves with prescribed endomorphism ring in general characteristic