The proceedings of the first conference on LMFDB, Computation, and Number Theory (LuCaNT) will be published in an open access volume of Contemporary Mathematics. Below is a list of draft versions of provisionally accepted papers. Minor post-conference revisions are permitted. All papers are subject to review before a final decision is made.
- A database of basic numerical invariants of Hilbert modular surfaces, Eran Assaf, Angelica Babei, Ben Breen, Edgar Costa, Juanita Duque-Rosero, Aleksander Horawa, Jean Kieffer, Avinash Kulkarni, Grant Molnar, Sam Schiavone, John Voight.
- A database of paramodular forms from quinary orthogonal modular forms, Eran Assaf, Watson Ladd, Gustavo Rama, Gonzalo Tornaría, John Voight.
- Improved methods for finding imaginary quadratic fields with high n-rank, Christian Bagshaw, Renate Scheidler, Michael J. Jacobson, Nickolas Rollick.
- Computing nonsurjective primes associated to Galois representations of genus 2 curves, Barinder S. Banwait, Armand Brumer, Hyun Jong Kim, Zev Klagsbrun, Jacob Mayle, Padmavathi Srinivasan, Isabel Vogt.
- Unconditional computation of the class groups of real quadratic fields, Ce Bian, Andrew R. Booker, Austin Docherty, Michael J. Jacobson, Andrei Seymour-Howell.
- Rational points on rank 2 genus 2 bielliptic curves in the LMFDB, Francesca Bianchi, Oana Padurariu.
- Computing isogeny classes of typical principally polarized abelian surfaces over the rationals, Raymond van Bommel, Shiva Chidambaram, Edgar Costa, Jean Kieffer.
- Computing the endomorphism ring of an elliptic curve over a number field, John E. Cremona and Andrew V. Sutherland.
- Modular algorithms for Gross-Stark units and Stark-Heegner points, Håvard Damm-Johnsen.
- Deuring for the people: Supersingular elliptic curves with prescribed endomorphism ring in general characteristic, Jonathan Komada Eriksen, Lorenz Panny, Jana Sotáková, Mattia Veroni.
- The landscape of L-functions: degree 3 and conductor 1, David W. Farmer, Sally Koutsoliotas, Stefan Lemurell, David P. Roberts.
- The relative class number one problem for function fields, III, Kiran S. Kedlaya.
- Serre curves relative to obstructions modulo 2, Jacob Mayle, Rakvi.
Queries should be directed to editors@lucant.org.