@article{c63dd4e87d7440cda65197cf60ba5322,
title = "Mumford{\textquoteright}s influence on the moduli theory of algebraic varieties",
abstract = "We give a short appreciation of Mumford{\textquoteright}s work on the moduli of varieties by putting it into historical context. By reviewing earlier works we highlight the innovations introduced by Mumford. Then we discuss recent developments whose origins can be traced back to Mumford{\textquoteright}s ideas.",
author = "J{\'a}nos Koll{\'a}r",
note = "Funding Information: I thank Kenneth Ascher, Ruadha{\'i} Dervan, Lizhen Ji, S{\'a}ndor Kov{\'a}cs, Rahul Pandharipande and Chenyang Xu for helpful comments and references. Partial financial support was provided by the NSF under grant number DMS-1362960. Funding Information: I thank Kenneth Ascher, Ruadhai Dervan, Lizhen Ji, Sandor Kovacs, Rahul Pandharipande and Chenyang Xu for helpful comments and references. Partial financial support was provided by the NSF under grant number DMS- 362960. Publisher Copyright: {\textcopyright} 2021, International Press, Inc.. All rights reserved.",
year = "2021",
doi = "10.4310/PAMQ.2021.v17.n2.a3",
language = "English (US)",
volume = "17",
pages = "619--647",
journal = "Pure and Applied Mathematics Quarterly",
issn = "1558-8599",
publisher = "International Press of Boston, Inc.",
number = "2",
}