LuCaNT: Databases, Algorithms, and Computational Number Theory

Jordi Guardia-Rubies, John W. Jones, Kevin Keating, Sebastian Pauli, David P. Roberts, and David Roe, Families of $p$-adic fields; Fabian Gundlach, Sampling cubic rings; Noam D. Elkies, A Shimura-Belyi map of degree 33, and number fields with Galois group 33T55 = $\Sigma \mathrm{L}_2(\mathbf{F}_{32})$; David W. Farmer, Sally Koutsoliotas, Stefan Lemurell, and David P. Roberts, Fine structure in some landscapes of L-functions; David Lowry-Duda, Computing a database of rigorous Maass forms; Taha Hedayat, Sarah Arpin, and Renate Scheidler, The spine of a supersingular $\ell$-isogeny graph; Edgar Costa, Andreas-Stephan Elsenhans, Jorg Jahnel, and John Voight, Explicit modularity of K3 surfaces with complex multiplication of large degree; Sven Cats, John Michael Clark, Charlotte Dombrowsky, Mar Curco Iranzo, Krystal Maughan, and Eli Orvis, Experimental investigations on Lehmer's conjecture for elliptic curves; Lewis Combes, John Jones, Jennifer Paulhus, David Roe, Manami Roy, and Sam Schiavone, Creating a dynamic database of finite groups; Steven Clontz, Database-driven mathematical inquiry and the $\Pi$-base model for small semantic databases; Stevan Gajovic, Jeroen Hanselman, and Angelos Koutsianas, Local-global principle for 11-isogenies of elliptic curves is true over quadratic fields; Kate Finnerty, Quadratic Chabauty experiments on genus 2 biellliptic modular curves in the LMFDB; Pitchayut Saengrungkongka and Noah Walsh, Gluing genus 1 and genus 2 curves along $\ell$-torsion; Yongyuan Huang, Kiran S. Kedlaya, and Jun Bo Lau, A census of genus 6 curves over $\mathbb{F}_2$; Adam Logan, The Kodaira dimension of Hilbert modular threefolds; Shiva Chidambaram, Computing the mod-3 Galois image of a principally polarized abelian surface over the rationals; Jennifer Paulhus and Andrew V. Sutherland, Completely decomposable modular Jacobians; Edgar Costa, Taylor Dupuy, Stefano Marseglia, David Roe, and Christelle Vincent, Labeling abelian varieties over finite fields; Craig Costello and Gaurish Korpal, On pairs of primes with small order reciprocity; Asimina S. Hamakiotes and Jun Bo Lau, Genus formulas for families of modular curves; Maria Corte-Real Santos, Jonathan Komada Eriksen, Antonin Leroux, Michael Meyer, and Lorenz Panny, Evaluation of modular polynomial from supersingular elliptic curves; Marco Streng, Explicit supersingular cyclic curves; Raymond van Bommel, Edgar Costa, Bjorn Poonen, and Padmavathi Srinivasan, Curve equations from expansions of 1-forms at a nonrational point