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Volume 33 Number 4 October 2020 VOLUME 33 NUMBER 4 OCTOBER 2020 AMERICANMATHEMATICALSOCIETY EDITORS Brian Conrad Laura G. DeMarco Simon Donaldson Pavel Etingof Sergey Fomin Igor Rodnianski Shmuel Weinberger ASSOCIATE EDITORS Ian Agol Denis Auroux Andrea Bertozzi Dmitry Dolgopyat Lawrence Guth Ursula Hamenstadt Lars Hesselholt Richard Kenyon Michael J. Larsen Ciprian Manolescu Lillian Pierce Anand Pillay Peter Sarnak Peter Scholze Sylvia Serfaty Amit Singer Benjamin Sudakov Ulrike Tillmann Burt Totaro Zhiwei Yun Journal of the American Mathematical Society This journal is devoted to research articles of the highest quality in all areas of pure and applied mathematics. Submission information. See Information for Authors at the end of this issue. Publication on the AMS website. Articles are published on the AMS website in- dividually after proof is returned from authors and before appearing in an issue. Subscription information. The Journal of the American Mathematical Society is published quarterly and is also accessible electronically from www.ams.org/journals/. Subscription prices for Volume 33 (2020) are as follows: for paper delivery, US$462 list, US$369.60 institutional member, US$415.80 corporate member, US$277.20 individual member; for electronic delivery, US$407 list, US$325.60 institutional member, US$366.30 corporate member, US$244.20 individual member. Upon request, subscribers to paper delivery of this journal are also entitled to receive electronic delivery. If ordering the paper version, add US$5.00 for delivery within the United States; US$17 for surface de- livery outside the United States. Subscription renewals are subject to late fees. See www.ams.org/journal-faq for more journal subscription information. Back number information. For back issues see www.ams.org/backvols. Subscriptions and orders should be addressed to the American Mathematical Society, P.O. 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In such cases, requests for permission to reuse or reprint material should be addressed directly to the author(s). Copyright ownership is indicated in the notice in the lower right-hand corner of the first page of each article. The Journal of the American Mathematical Society (ISSN 0894-0347 (print); ISSN 1088-6834 (online)) is published quarterly by the American Mathematical Society at 201 Charles Street, Providence, RI 02904-2213 USA and is mailed from Providence, Rhode Island. Periodicals postage is paid at Providence, Rhode Island. Postmaster: Send address changes to Journal of the AMS, American Mathematical Society, 201 Charles Street, Providence, RI 02904-2213 USA. c 2020 by the American Mathematical Society. All rights reserved. This journal is indexed in Mathematical Reviews, Zentralblatt MATH, Science Citation Index , Science Citation Index TM–Expanded, ISI Alerting ServicesSM, CompuMath Citation Index ,andCurrent Contents/Physical, Chemical & Earth Sciences. This journal is archived in Portico and in CLOCKSS. Printed in the United States of America. ∞ The paper used in this journal is acid-free and falls within the guidelines established to ensure permanence and durability. 10987654321 252423222120 JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY CONTENTS Vol. 33, No. 4 October 2020 B. Bakker, B. Klingler, and J. Tsimerman, Tame topology of arithmetic quotients and algebraicity of Hodge loci .............................. 917 Amol Aggarwal, contributor Anton Zorich, Large genus asymptotics for volumes of strata of abelian differentials .......................... 941 Joel Fine and Bruno Premoselli, Examples of compact Einstein four- manifolds with negative curvature ................................... 991 Alex Eskin, Curtis T. McMullen, Ronen E. Mukamel, and Alex Wright, Billiards, quadrilaterals, and moduli spaces . 1039 M. Bhargava, A. Shankar, T. Taniguchi, F. Thorne, J. Tsimerman, and Y. Zhao, Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves ..................................... 1087 Tom Hutchcroft, Nonuniqueness and mean-field criticality for percolation on nonunimodular transitive graphs .................................. 1101 Yi Liu, Virtual homological spectral radii for automorphisms of surfaces . 1167 INDEX TO VOLUME 33 (2020) Aggarwal, Amol, contributor Anton Zorich. Large genus asymptotics for volumes of strata of abelian differentials, 941 Ananyan, Tigran, and Melvin Hochster. Small subalgebras of polynomial rings and Stillman's Conjecture, 291 Andr´e,Yves. Weak functoriality of Cohen-Macaulay algebras, 363 Bakker, B., B. Klingler, and J. Tsimerman. Tame topology of arithmetic quotients and alge- braicity of Hodge loci, 917 Baladi, Viviane, and Mark F. Demers. On the measure of maximal entropy for finite horizon Sinai Billiard maps, 381 Bhargava, M., A. Shankar, T. Taniguchi, F. Thorne, J. Tsimerman, and Y. Zhao. Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves, 1087 Collot, Charles, Frank Merle, and Pierre Rapha¨el. Strongly anisotropic type II blow up at an isolated point, 527 Colmez, Pierre, Gabriel Dospinescu, and Wies lawa Nizio l. Cohomologie p-adique de la tour de Drinfeld: le cas de la dimension 1, 311 Demers, Mark F. See Baladi, Viviane Dospinescu, Gabriel. See Colmez, Pierre Dudko, Dzmitry, Mikhail Lyubich, and Nikita Selinger. Pacman renormalization and self-similarity of the Mandelbrot set near Siegel parameters, 653 Einsiedler, M., G. Margulis, A. Mohammadi, and A. Venkatesh. Effective equidistribution and property (τ), 223 Eskin, Alex, Curtis T. McMullen, Ronen E. Mukamel, and Alex Wright. Billiards, quadrilaterals, and moduli spaces, 1039 Fang, Bohan, Chiu-Chu Melissa Liu, and Zhengyu Zong. On the remodeling conjecture for toric Calabi-Yau 3-orbifolds, 135 Fine, Joel, and Bruno Premoselli. Examples of compact Einstein four-manifolds with negative curvature, 991 Gabai, David. The 4-dimensional light bulb theorem, 609 Groechenig, Michael, Dimitri Wyss, and Paul Ziegler. Geometric stabilisation via p-adic inte- gration, 807 Halpern-Leistner, Daniel, and Steven V Sam. Combinatorial constructions of derived equiva- lences, 735 Harpaz, Yonatan, and Olivier Wittenberg. Z´ero-cycles sur les espaces homog`eneset probl`eme de Galois inverse, 775 Hochster, Melvin. See Ananyan, Tigran Hutchcroft, Tom. Nonuniqueness and mean-field criticality for percolation on nonunimodular transitive graphs, 1101 Kielak, Dawid. Residually finite rationally solvable groups and virtual fibring, 451 Klingler, B. See Bakker, B. Lairez, Pierre. Rigid continuation paths I. Quasilinear average complexity for solving polynomial systems, 487 Liu, Chiu-Chu Melissa. See Fang, Bohan Liu, Yi. Virtual homological spectral radii for automorphisms of surfaces, 1167 Lyubich, Mikhail. See Dudko, Dzmitry Margulis, G. See Einsiedler, M. McMullen, Curtis T. See Eskin, Alex Merle, Frank. See Collot, Charles Mohammadi, A. See Einsiedler, M. Mukamel, Ronen E. See Eskin, Alex Nizio l,Wies lawa. See Colmez, Pierre Premoselli, Bruno. See Fine, Joel Rapha¨el,Pierre. See Collot, Charles Sam, Steven V. See Halpern-Leistner, Daniel Selinger, Nikita. See Dudko, Dzmitry Seward, Brandon. Positive entropy actions of countable groups factor onto Bernoulli shifts, 57 Shankar, A. See Bhargava, M. Sheridan, Nick, and Ivan Smith. Symplectic topology of K3 surfaces via mirror symmetry, 875 INDEX TO VOLUME 33 (2020) Slofstra, William. Tsirelson's problem and an embedding theorem for groups arising from non- local games, 1 Smith, Ivan. See Sheridan, Nick Taniguchi, T. See Bhargava, M. Thorne, F. See Bhargava, M. Tsimerman, J. See Bakker, B. See Bhargava, M. Venkatesh, A. See Einsiedler, M. Wittenberg, Olivier. See Harpaz, Yonatan Wright, Alex. See Eskin, Alex Wu, Damin, and Shing-Tung Yau. Invariant metrics on negatively pinched complete K¨ahler manifolds, 103 Wyss, Dimitri. See Groechenig, Michael Yau, Shing-Tung. See Wu, Damin Zhao, Y. See Bhargava, M. Ziegler, Paul. See Groechenig, Michael Zong, Zhengyu. See Fang, Bohan Zorich, Anton. See Aggarwal, Amol VOLUME 33 2020 AMERICANMATHEMATICALSOCIETY EDITORS Brian Conrad Laura G. DeMarco Simon Donaldson Pavel Etingof Sergey Fomin Igor Rodnianski Shmuel Weinberger ASSOCIATE EDITORS Ian Agol Denis Auroux Andrea Bertozzi Dmitry Dolgopyat Lawrence Guth Ursula Hamenstadt Lars Hesselholt Richard Kenyon Michael J. Larsen Ciprian Manolescu Lillian Pierce Anand Pillay Peter Sarnak Peter Scholze Sylvia Serfaty Amit Singer Benjamin Sudakov Ulrike Tillmann Burt Totaro Zhiwei Yun Journal of the American Mathematical Society This journal is devoted to research articles of the highest quality in all areas of pure and applied mathematics. Submission
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