LuCaNT: Databases, Algorithms, and Computational Number Theory

This volume contains the proceedings of the LMFDB, Computation, and Number Theory (LuCaNT) 2025 conference, held at the Institute for Computational and Experimental Research in Mathematics (ICERM), from July 7-11, 2025, in Providence, Rhode Island. 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 L-Functions and Modular Forms Database, http://lmfdb.org), an online resource for mathematical objects arising in the Langlands program and the connections between them.