About MSP Package Journals Algebra & Number Theory Mathematical Sciences Publishers is a not-for-profit corporation based in Berkeley, California. We produce and distribute scientific and re- msp.org/ant search literature; develop and license software for scholarly publish- ISSN 1944-7833 electronic / 1937-0652 print 2021 Price $415 Online Only / $620 print + online / add $60 ing; and offer hosting, copyediting, and other services for editorial for shipping outside US boards, scholarly societies, and other publishers. Founded in 2007 A green open-access publisher, MSP produces more than 25,000 pages 2019 Impact Factor 0.920 5-Year Impact Factor 1.070 per year, covering mathematics and other selected fields. We strive to Indexed in MathSciNet, Scopus, Web of Science, offer scientific research publications of the highest quality at the low- zbMATH est sustainable prices. Our outstanding editorial boards and highly se- AMS Mathematical Citation Quotient 1.21 Publishes 2,560 pages per year, 55 articles per year lective peer-review workflows guarantee the impact of our articles. Papers are edited for grammar, consistency, and clarity of exposition, ANT’s broad definition of algebra and number theory allows it to print high- quality research covering a wide range of subtopics, including algebraic and with the mathematics laid out at high typesetting standards. arithmetic geometry. ANT publishes high-quality articles of interest to a broad readership, at a level surpassing all but the top four or five mathematics journals. We believe that scientific publishing should be an industry that helps Managing Editor Bjorn Poonen (MIT, USA) Editorial Board Chair (University rather than hinders scholarly activity. MSP honors the best traditions of California, Berkeley, USA) Editorial Board Richard E. Borcherds (University of California, of quality publishing while actively working to improve the academic Berkeley, USA) | Antoine Chambert-Loir (Université Paris-Diderot, France) | Jean-Louis Colliot- Thélène (CNRS, Université Paris-Sud, France) | Brian Conrad (, USA) | Samit scholarship industry for the future. Dasgupta (University of California, Santa Cruz, USA) | Hélène Esnault (Freie Universität , Germany) | Gavril Farkas (Humboldt Universität zu Berlin) | Sergey Fomin (University of Michigan, USA) | Edward Frenkel (University of California, Berkeley, USA) | Wee Teck Gan (National Univer- Learn More: sity of Singapore, Singapore) | Andrew Granville (Université de Montréal, Canada) | Ben Green (Oxford University, UK) | Joseph Gubeladze (San Francisco State University, USA) | Roger Heath- msp.org Brown (Oxford University, UK) | Craig Huneke (University of Virginia, USA) | Kiran S. Kedlaya (University of California, San Diego, USA) | János Kollár (, USA) | Philippe msp.org/publications Michel (Ecole Polytechnique Federale de Lausanne, Switzerland) | Susan Montgomery (University msp.org/software of Southern California, USA) | Shigefumi Mori (RIMS, Kyoto University, Japan) | Martin Olsson (University of California, Berkeley, USA) | Raman Parimala (Emory University, USA) | Jonathan msp.org/services Pila (University of Oxford, UK) | Anand Pillay (University of Notre Dame, USA) | Michael Rapoport (Universität Bonn, Germany) | Victor Reiner (University of Minnesota, USA) | Peter Sar- nak (Princeton University, USA) | Joseph H. Silverman (, USA) | Michael Singer (North Carolina State University, USA) | Christopher Skinner (Princeton University, USA) | Vasude- van Srinivas (Tata Institute of Fundamental Research, India) | J. Toby Stafford (University of Man- chester, UK) | Pham Huu Tiep (Rutgers University, USA) | Ravi Vakil (Stanford University, USA) | Akshay Venkatesh (Institute for Advanced Study, USA) | Michel van den Bergh (Hasselt University, Belgium) | Marie-France Vignéras (Université Paris VII, France) | Kei-Ichi Watanabe (Nihon Uni- versity, Japan) | Melanie Matchett Wood (University of Wisconsin, Madison, USA) | Shou-Wu nonprofit scientific publishing Algebraic & Geometric Topology Analysis & PDE

msp.org/agt msp.org/apde ISSN 1472-2739 electronic / 1472-2747 print ISSN 1948-206X electronic / 2157-5045 print 2021 Price $560 Online Only / $835 print + online / add $65 2021 Price $340 Online Only / $550 print + online / add $60 for shipping outside US for shipping outside US

Founded in 2001 Founded in 2008 2019 Impact Factor 0.876 2019 Impact Factor 1.712 5-Year Impact Factor 0.820 5-Year Impact Factor 1.883 Indexed in MathSciNet, Scopus, Web of Science, Indexed in MathSciNet, Scopus, Web of Science, zbMATH zbMATH AMS Mathematical Citation Quotient 0.84 AMS Mathematical Citation Quotient 1.93 Publishes 3,750 pages per year, 85 articles per year Publishes 2,050 pages per year, 40 articles per year

AGT publishes papers in all areas of algebraic and geometric topology. Now a Since 2008, APDE has aimed to be the leading specialized scholarly publication prominent journal in its field, its high standards and rigorous editorial process in mathematical analysis. The full editorial board votes on all articles, account- attract an ever-increasing number of excellent submissions. AGT has an impact ing for the journal’s exceptionally high standard and ensuring its broad profile. factor regularly placing in the top third of all journals. Editor-in-Chief Principal Editors Patrick Gérard (Université Paris Sud XI, Orsay, France) John B. Etnyre (Georgia Institute of Technology, USA) Editorial Board Kathryn Hess (École Polytechnique Fédérale de Lausanne, Switzerland) Massimiliano Berti (Scuola Internazionale Superiore di Studi Avanzati, Italy) Editorial Board Zbigniew Błocki (Uniwersytet Jagielloński, Poland) Matthew Ando (The University of Illinois, USA) | Julie Bergner (University of Virginia, USA) | Joan Charles Fefferman (Princeton University, USA) Birman (Columbia University - Barnard College, USA) | Steven Boyer (Université du Québec à Isabelle Gallagher (Université Paris-Diderot, IMJ-PRG, France) Montréal, Canada) | Fred Cohen (University of Rochester, USA) | Alexander Dranishnikov (Univer- Ursula Hamenstaedt (Universität Bonn, Germany) sity of Florida, USA) | Cornelia Drutu (University of Oxford, UK) | Tobias Ekholm (University of Vadim Kaloshin (University of Maryland, USA) Uppsala, Sweden) | Mario Eudave-Muñoz (Universidad Nacional Autónoma de México, Mexico) | Herbert Koch (Universität Bonn, Germany) David Futer (Temple University, USA) | John Greenlees (University of Warwick, UK) | Ian Hamble- Izabella Laba (University of British Columbia, Canada) ton (McMaster University, Canada) | Matthew Hedden (Michigan State University, USA) | Hans- Richard B. Melrose (Massachussets Institute of Technology, USA) Werner Henn (Université de Strasbourg, France) | Daniel Isaksen (Wayne State University, USA) | Frank Merle (Université de Cergy-Pontoise, France) Tsuyoshi Kobayashi (Nara Women's University, Japan) | Christine Lescop (Universite Grenoble 1 - William Minicozzi II (Massachusetts Institute of Technology, USA) CNRS, France) | Robert Lipshitz (University of Oregon, USA) | Dan Margalit (Georgia Institute of Clément Mouhot (Cambridge University, UK) Technology, USA) | Norihiko Minami (Nagoya Institute of Technology, Japan) | Andrés Navas Flo- Werner Müller (Universität Bonn, Germany) res (Universidad de Santiago, Chile) | Thomas Nikolaus (Universität Münster, Germany) | Robert Gilles Pisier (Texas A&M University, USA, & Paris 6, France) Oliver (Université Paris 13, France) | Birgit Richter (Universität Hamburg, Germany) | Jerome Tristan Rivière (ETH, Switzerland) Scherer (EPFL Lausanne, Switzerland) | Peter Scott (University of Michigan, USA) | Zoltán Szabó Igor Rodnianski (Princeton University, USA) (Princeton University, USA) | Maggy Tomova (University of Iowa, USA) | Nathalie Wahl (Universi- Yum-Tong Siu (, USA) ty of Copenhagen, Denmark) | Chris Wendl (Humbolt-Universität zu Berlin, Germany) | Daniel T. Terence Tao (University of California, Los Angeles, USA) Wise (McGill University, Canada) Michael E. Taylor (University of North Carolina, Chapel Hill, USA) Gunther Uhlmann (University of Washington, USA) András Vasy (Stanford University, USA) Dan Virgil Voiculescu (University of California, Berkeley, USA) Simone Warzel (Technische Universität München, Germany) Jim Wright (University of Edinburgh, UK) (, USA) Maciej Zworski (University of California, Berkeley, USA) nonprofit scientific publishing Annals of K-Theory Communications in Applied Mathematics and Computational Science msp.org/akt ISSN 2379-1691 electronic / 2379-1683 print msp.org/camcos 2021 Price $510 Online Only / $575 print + online / add $25 ISSN 2157-5452 electronic / 1559-3940 print for shipping outside US 2021 Price $110 Online Only / $165 print + online / add $15 for shipping outside US Founded in 2016 Indexed in MathSciNet, Scopus, Web of Science, Founded in 2006 zbMATH 2019 Impact Factor 0.688 AMS Mathematical Citation Quotient 0.50 5-Year Impact Factor 1.395 Publishes 700 pages per year, 20 articles per year Indexed in MathSciNet, Scopus, Web of Science, zbMATH The Annals of K-Theory welcomes excellent research papers in all areas of K- AMS Mathematical Citation Quotient 0.62 theory in its many forms. These may include either fundamental developments Publishes 250 pages per year, 8 articles per year in the core techniques and ideas, or else applications to other subjects. AKT is owned by the K-Theory Foundation and published by MSP, and is intended to be CAMCoS accepts innovative papers in all areas where mathematics and ap- the premier journal in K-theory and related areas. plications interact. In particular, the journal welcomes papers where an idea is followed from beginning to end—from an abstract beginning to a piece of soft- Editorial Board ware, or from a computational observation to a mathematical theory. Joseph Ayoub (ETH Zürich, Switzerland) Paul Balmer (University of California, Los Angeles, USA) Guillermo Cortiñas (Universidad de Buenos Aires and CONICET, Argentina) Managing Editor Hélène Esnault (Freie Universität Berlin, Germany) John B. Bell (Lawrence Berkeley National Laboratory, Berkeley, USA)

Eric Friedlander (University of Southern California, USA) Editorial Board

Max Karoubi (Institut de Mathématiques de Jussieu – Paris Rive Gauche, France) Ann Almgren (Lawrence Berkeley National Laboratory, USA)

Moritz Kerz (Universität Regensburg, Germany) Marsha Berger (, USA)

Huaxin Lin (University of Oregon, USA) Alexandre J. Chorin (University of California, Berkeley, USA)

Alexander Merkurjev (University of California, Los Angeles, USA) Phillip Colella (Lawrence Berkeley National Laboratory, USA)

Birgit Richter (Universität Hamburg, Germany) Peter Constantin (Princeton University, USA) Jonathan Rosenberg, managing editor (University of Maryland, USA) Maksymilian Dryja (Warsaw University, Poland)

Marco Schlichting (University of Warwick, UK) M. Gregory Forest (University of North Carolina, USA)

Charles Weibel, managing editor (Rutgers University, USA) Ahmed Ghoniem (Massachusetts Institute of Technology, USA) Guoliang Yu (Texas A&M University, USA) Nigel Goldenfeld (University of Illinois, USA) Leslie Greengard (New York University, USA) Rupert Klein (Freie Universität Berlin, Germany) Raz Kupferman (The Hebrew University, ) Randall J. LeVeque (University of Washington, USA) Mitchell Barry Luskin (University of Minnesota, USA) Yvon Maday (Université Pierre et Marie Curie, France) Michael L. Minion (Lawrence Berkeley National Lab, USA) Sorin Mitran (University of North Carolina at Chapel Hill, USA) Robert D. Moser (University of Texas, USA) Per-Olof Persson (University of California, Berkeley, USA) Alfio Quarteroni (Politecnico di Milano, Italy) James A. Sethian (University of California, Berkeley, USA) Eitan Tadmor (University of Maryland, USA) Denis Talay (INRIA, France) Juan Luis Vázquez (Universidad Autónoma de Madrid, Spain) nonprofit scientific publishing Geometry & Topology Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial msp.org/gt ISSN 1364-0380 electronic / 1465-3060 print msp.org/iig 2021 Price $635 Online Only / $910 print + online / add $65 ISSN 2640-7345 electronic / 2640-7337 print for shipping outside US 2021 Price $275 Online Only / $325 print + online / add $15 for shipping outside US Founded in 1997 2019 Impact Factor 1.479 Founded in 2005 5-Year Impact Factor 1.671 Indexed in MathSciNet, zbMATH Indexed in MathSciNet, Scopus, Web of Science, AMS Mathematical Citation Quotient 0.16 zbMATH Publishes 400 pages per year, 15 articles per year AMS Mathematical Citation Quotient 1.75 Publishes 3,750 pages per year, 50 articles per year Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial publishes carefully selected and peer-reviewed original research papers of the Geometry & Topology is the leading journal in its field, publishing more of the highest quality about all aspects of incidence geometry. These include: best papers in geometry and topology than any other journal. GT ensures high quality by requiring that three board editors stand personally behind every ac- • computational geometry, cepted paper, the proposer and two seconders. • finite , • finite and combinatorial geometry, Managing Editors • Galois geometry, András I. Stipsicz (Alfréd Rényi Institute of Mathematics, Hungary) • generalized polygons and other rank-2 geometries, Colin Rourke (University of Warwick, Coventry, UK) • geometry of groups, Editorial Board • incidence geometric aspects of algebraic combinatorics, Dan Abramovich (Brown University, Providence, USA) | (University of California, Berke- • projective and affine planes, ley, USA) | Mark Behrens (University of Notre Dame, USA) | Martin Bridson (University of Oxford, • Tits-buildings and diagram geometries, UK) | Jim Bryan (University of British Columbia, Vancouver, Canada) | Dmitri Burago (Pennsylva- nia State University, State College, USA) | Ralph Cohen (Stanford University, USA) | Tobias H. • topological geometry. Colding (Massachusetts Institute of Technology, Cambridge, USA) | (Imperial IIG was first published at Ghent University in 2005, and was adopted by MSP in College, London, UK) | Yasha Eliashberg (Stanford University, USA) | Benson Farb (University of Chicago, USA) | Steve Ferry (Rutgers University, Piscataway, USA) | (Microsoft 2018 at the request of the editors. Corporation, Santa Barbara, USA) | (Princeton University, USA) | Étienne Ghys (École Normale Supérieure de Lyon, France) | Cameron Gordon (University of Texas at Austin, USA) | Managing Editors Tom De Medts (Ghent University, Belgium) | Linus Kramer (Universität Mün- Lothar Göttsche (Abdus Salam International Centre for Theoretical Physics, Trieste, Italy) | Jesper ster, Germany) | Klaus Metsch (Justus-Liebig Universität Gießen, Germany) | Bernhard Mühlherr Grodal (University of Copenhagen, Denmark) | Misha Gromov (IHES, Bures-sur-Yvette, France and (Justus-Liebig Universität Gießen, Germany) | Joseph A. Thas (Ghent University, Belgium) | Koen New York University, USA) | Rob Kirby (University of California, Berkeley, USA) | Frances Kirwan Thas (Ghent University, Belgium) | Hendrik Van Maldeghem (Ghent University, Belgium) (University of Oxford, UK) | Bruce Kleiner (New York University, USA) | John Lott (University of Honorary Editors Jacques Tits | Ernest E. Shult California, Berkeley, USA) | Ciprian Manolescu (University of California, Los Angeles, USA) | Haynes R. Miller (Massachusetts Institute of Technology, Cambridge, USA) | Editorial Board Peter Abramenko (University of Virginia, USA) | Francis Buekenhout (Université (Massachusetts Institute of Technology, Cambridge, USA) | Walter Neumann (Columbia University, Libre de Bruxelles, Belgium) | Philippe Cara (Vrije Universiteit Brussel, Belgium) | Antonio Cossi- New York, USA) | Jean-Pierre Otal (Université Paul Sabatier, Toulouse, France) | Peter Ozsváth dente (Università della Basilicata, Italy) | Hans Cuypers (Eindhoven University of Technology, (Princeton University, USA) | Leonid Polterovich (, Israel) | Stefan Schwede Netherlands) | Bart De Bruyn (University of Ghent, Belgium) | Alice Devillers (University of West- (Universität Bonn, Germany) | András I. Stipsicz (Alfred Renyi Institute of Mathematics, Budapest, ern Australia, Australia) | Massimo Giulietti (Università degli Studi di Perugia, Italy) | James Hungary) | Peter Teichner (Max Planck Institute for Mathematics, Bonn, Germany) | Richard Hirschfeld (University of Sussex, UK) | Dimitri Leemans (Université Libre de Bruxelles, Belgium) | Thomas (Imperial College, London, UK) | Gang Tian (Princeton University, USA) | Ulrike Tillmann Oliver Lorscheid (Instituto Nacional de Matemática Pura e Aplicada (IMPA), Brazil) | Guglielmo (Oxford University, UK) | Anna Wienhard (Ruprecht-Karls Universität Heidelberg, Germany) Lunardon (Università di Napoli "Federico II", Italy) | Alessandro Montinaro (Università di Salento, Italy) | James Parkinson (University of Sydney, Australia) | Antonio Pasini (Università di Siena (emeritus), Italy) | Valentina Pepe (Università di Roma "La Sapienza", Italy) | Bertrand Rémy (École Polytechnique, France) | Tamás Szonyi (ELTE Eötvös Loránd University, Budapest, Hungary) nonprofit scientific publishing Involve, a Journal of Mathematics Moscow Journal of Combinatorics and Number Theory msp.org/involve ISSN 1944-4184 electronic / 1944-4176 print msp.org/moscow 2021 Price $205 Online Only / $275 print + online / add $35 ISSN 2640-7361 electronic / 2220-5438 print for shipping outside US 2021 Price $310 Online Only / $365 print + online / add $20 for shipping outside US Founded in 2008 Indexed in MathSciNet, zbMATH Founded in 2011 AMS Mathematical Citation Quotient 0.12 Indexed in MathSciNet, zbMATH Publishes 900 pages per year, 50 articles per year AMS Mathematical Citation Quotient 0.41 Publishes 400 pages per year, 25 articles per year Involve showcases and encourages high-quality mathematical research involving students from all academic levels and all mathematical areas. Manuscripts ac- Moscow Journal of Combinatorics and Number Theory was formerly published cepted for publication in Involve are considered publishable in quality journals at the Moscow Institute of Physics and Technology starting in 2011, and was in their respective fields. adopted by MSP in 2018 at the request of the editors. MJCNT publishes high- Bridging the gap between the extremes of purely undergraduate-research jour- quality research articles from a broad range of interests within combinatorics, nals and mainstream research journals, Involve provides a venue to mathemati- number theory and allied areas. cians wishing to encourage the creative involvement of students, and opportuni- ty for students who are serious about their research. Editors-in-Chief Yann Bugeaud (Université de Strasbourg, France) Nikolay Moshchevitin (Lomonosov , ) Managing Editor Kenneth S. Berenhaut (Wake Forest Univ.) Andrei Raigorodskii (Moscow Institute of Physics and Technology, Russia) Editorial Board Colin Adams (Williams Coll., USA) | Arthur T. Benjamin (Harvey Mudd Coll., Ilya D. Shkredov (Steklov Mathematical Institute, Russia) USA) | Martin Bohner (Missouri Univ. of Science and Technology, USA) | Amarjit S. Budhiraja Editorial Board (Univ. of North Carolina, Chapel Hill, USA) | Pietro Cerone (La Trobe Univ., Australia) | Scott Iskander Aliev (Cardiff University, UK) | Vladimir Dolnikov (Moscow Institute of Physics and Chapman (Trinity Univ., USA) | Joshua N. Cooper (Univ. of South Carolina, USA) | Jem N. Corco- Technology, Russia) | Nikolay Dolbilin (Steklov Mathematical Institute, Russia) | Oleg German ran (Univ. of Colorado, USA) | Toka Diagana (Howard Univ., USA) | Michael Dorff (Brigham (Moscow Lomonosov State University, Russia) | Michael Hoffman (United States Naval Academy, Young Univ., USA) | Sever S. Dragomir (Victoria Univ., Australia) | Joel Foisy (SUNY Potsdam, USA) | Grigory Kabatiansky (Russian Academy of Sciences, Russia) | Roman Karasev (Moscow USA) | Errin W. Fulp (Wake Forest Univ., USA) | Joseph Gallian (Univ. of Minnesota Duluth, USA) Institute of Physics and Technology, Russia) | Gyula O. H. Katona (Hungarian Academy of Sciences, | Stephan R. Garcia (Pomona Coll., USA) | Anant Godbole (East Tennessee State Univ., USA) | Ron Hungary) | Alex V. Kontorovich (Rutgers University, USA) | Maxim Korolev (Steklov Mathematical Gould (Emory Univ., USA) | Sat Gupta (Univ. of North Carolina, Greensboro, USA) | Jim Haglund Institute, Russia) | Christian Krattenthaler (Universität Wien, Austria) | Antanas Laurincˇikas (Vilnius (Univ. of Pennsylvania, USA) | Johnny Henderson (Baylor Univ., USA) | Glenn H. Hurlbert (Ari- University, Lithuania) | Vsevolod Lev (University of Haifa at Oranim, Israel) | János Pach (EPFL zona State Univ., USA) | Michael Jablonski (Univ. of Oklahoma, USA) | Charles R. Johnson (Coll. Lausanne, Switzerland, and Alfred Rényi Institute, Hungary) | Rom Pinchasi (Israel Institute of of William and Mary, USA) | K. B. Kulasekera (Clemson Univ.) | Gerry Ladas (Univ. of Rhode Technology - Technion, Israel) | Alexander Razborov (Institut de Mathématiques de Luminy, France) Island, USA) | David Larson (Texas A&M Univ., USA) | Suzanne Lenhart (Univ. of Tennessee, | Joël Rivat (Université d’Aix-Marseille, France) | Tanguy Rivoal (Institut Fourier, CNRS, France) | USA) | Chi-Kwong Li (Coll. of William and Mary, USA) | Robert B. Lund (Clemson Univ., USA) | Damien Roy (University of Ottawa, Canada) | Vladislav Salikhov (Bryansk State Technical Univer- Gaven J. Martin (Massey Univ., New Zealand) | Mary Meyer (Colorado State Univ., USA) | Steven sity, Russia) | Tom Sanders (University of Oxford, UK) | Alexander A. Sapozhenko (Lomonosov J. Miller (Williams College, USA) | Frank Morgan (Williams Coll., USA) | Mohammad Sal Mosle- Moscow State University, Russia) | József Solymosi (University of British Columbia, Canada) | hian (Ferdowsi Univ. of Mashhad, Iran) | Zuhair Nashed (Univ. of Central Florida, USA) | Ken Ono Andreas Strömbergsson (Uppsala University, Sweden) | Benjamin Sudakov (UCLA, USA) | Jörg (Emory Univ., USA) | Yuval Peres (Microsoft Research, USA) | Y.-F. S. Pétermann (Purdue Univ., Thuswaldner (University of Leoben, Austria) | Kai-Man Tsang (Hong Kong University, Hong Kong) USA) | Jonathon Peterson (Univ. de Genève, Switzerland) | Robert J. Plemmons (Wake Forest Univ., | Maryna Viazovska (EPFL Lausanne, France) | Barak Weiss (Tel Aviv University, Israel) USA) | Carl B. Pomerance (Dartmouth Coll., USA) | Vadim Ponomarenko (San Diego State Univ., USA) | Bjorn Poonen (Massachusetts Institute of Technology, USA) | Józeph H. Przytycki (George Washington Univ., USA) | Richard Rebarber (Univ. of Nebraska, USA) | Robert W. Robinson (Univ. of Georgia, USA) | Javier Rojo (Oregon State Univ., USA) | Filip Saidak (Univ. of North Carolina, Greensboro, USA) | Hari Mohan Srivastava (University of Victoria, Canada) | An- drew J. Sterge (Honorary Editor) | Ann Trenk (Wellesley Coll., USA) | Ravi Vakil (Stanford Univ., USA) | Antonia Vecchio (Consiglio Nazionale delle Ricerche, Italy) nonprofit scientific publishing Pure and Applied Analysis Tunisian Journal of Mathematics

msp.org/paa msp.org/tunis ISSN 2578-5885 electronic / 2578-5893 print ISSN 2576-7666 electronic / 2576-7658 print 2021 Price $505 Online Only / $565 print + online / add $25 2021 Price $320 Online Only / $380 print + online / add $20 for shipping outside US for shipping outside US

Founded in 2018 Founded in 2018 Indexed in MathSciNet, zbMATH Indexed in MathSciNet, zbMATH Publishes 600 pages per year, 15 articles per year Publishes 700 pages per year, 17 articles per year

Pure and Applied Analysis is a new journal devoted to original research at the The Tunisian Journal of Mathematics is an international pub- interface of mathematical modeling, scientific computation, numerical methods lication organized by the Tunisian Mathematical Society and published in elec- and harmonic/functional analysis, partial differential equations and related sub- tronic and print formats by MSP in Berkeley. It is attracting excellent papers in jects. all areas of mathematics, thanks to its first-rate international editorial board. Ar- ticles are selected based on outstanding quality and interest, and according to the Editors-in-Chief highest standards. Charles L. Epstein (University of Pennsylvania, USA) Maciej Zworski (University of California at Berkeley, USA) Since its founding in 1992, the Tunisian Mathematical Society has been a key Editorial Board stimulus for high-level mathematics research in Tunisia and the surrounding Sir John M. Ball (University of Oxford, UK) region. The creation of TJM mirrors the Society’s integration in, and support by, Michael P. Brenner (Harvard University, USA) the international mathematics community. As the journal’s publisher, MSP will Charles Fefferman (Princeton University, USA) help contribute to the Society’s mission of fostering scientific activity on the (University of Southern California, USA) African continent. Anna Gilbert (University of Michigan, USA) Leslie F. Greengard (Courant Institute, NYU, USA and Flatiron Institute, Simons Foundation, USA) Yan Guo (Brown University, USA) Editors-in-Chief Claude Le Bris (CERMICS - ENPC, France) Ahmed Abbes (CNRS & IHES, France) Robert J. McCann (, Canada) Ali Baklouti (Faculté des Sciences de Sfax, Tunisia)

Michael O’Neil (Courant Institute, New York University, USA) Editorial Board

Galina Perelman (Université Paris-Est - Créteil Val-de-Marne, France) Hajer Bahouri (Université Paris EST, France) | Arnaud Beauville (Université Côte d'Azur, France) |

Jill Pipher (Brown University, USA) Philippe Biane (Université de Marne la Vallée, France) | Ewa Damek (University of Wrocław,

Johannes Sjöstrand (Université de Dijon, France) Poland) | Bassam Fayad (UP7D, France) | Benoit Fresse (Université Lille 1 - Sciences et Technolo- Vladimir Šverák (University of Minnesota, USA) gies, France) | Dennis Gaitsgory (Harvard University, USA) | Paul Goerss (Northwestern University, Daniel Tataru (University of California at Berkeley, USA) USA) | Emmanuel Hebey (Université de Cergy-Pontoise, France) | Mohamed Ali Jendoubi (Univer-

Michael I. Weinstein (Columbia University, USA) sité de Carthage, Tunisia) | Sadok Kallel (American University of Sharjah, United Arab Emirates) |

Jon Wilkening (University of California at Berkeley, USA) Minhyong Kim (University of Oxford, United Kingdom) | Toshiyuki Kobayashi (The University of Enrique Zuazua (DeustoTech-Bilbao and Universidad Autónoma de Madrid, Spain) Tokyo, Japan) | Patrice Le Calvez (UPMC, Institut de Mathematiques de Jussieu, France) | YanYan Li (Rutgers University, USA) | Nader Masmoudi (New York University Abu Dhabi, United Arab Emirates) | Haynes R. Miller (Massachusetts Institute of Technology, USA) | Nordine Mir (Texas A&M University at Qatar, Qatar) | Enrique Pujals (IMPA - Instituto de Matemática Pura e Aplicada, Brazil) | Mohamed Sifi (University of Tunis El Manar, Tunisia) | Daniel Tataru (University of Cali- fornia Berkeley, USA) | Sundaram Thangavelu (Indian Institute of Science, India) | Nizar Touzi (Ecole Polytechnique, France)

nonprofit scientific publishing About The Packages Other Available Journals

MSP Package (MP): $2,490 online only MSP also offers the following publications, which are not included in any pack- ages but are available individually. MSP’s basic package includes electronic access to: Discounts may be available to package subscribers. Please inquire for further • Algebra & Number Theory (ANT) information. • Algebraic & Geometric Topology (AGT) • Analysis & PDE (APDE) Journal of Mechanics of Materials and Structures • Annals of K-Theory (AKT) • Comm. in Applied Mathematics and Comp. Science (CAMCoS) msp.org/jomms • Geometry & Topology (GT) ISSN 1559-3959 electronic / 1559-3959 print • Innovations in Incidence Geometry (IIG) 2021 Price $520 online only / $705 print + online / add • Involve, a Journal of Mathematics (Involve) $75 for shipping outside US • Moscow J. of Combinatorics and Number Theory (MJCNT) • Pure and Applied Analysis (PAA) Founded in 2006 • Tunisian Journal of Mathematics (TJM) 2019 Impact Factor 0.987 5-Year Impact Factor 1.225 Electronic 2020 subscriptions to all of these journals, purchased separately, Indexed in MathSciNet, Scopus, Web of Science would cost about $4,000 US. AMS Mathematical Citation Quotient 0.14 Publishes 700 pages per year, 60 articles per year EMS+MSP Joint Package (JP): $7185 online only Mathematics and Mechanics of Complex Systems The Joint Package includes all journals in the MSP Package plus all EMS sub- scription journals. It can be ordered either from MSP, or from EMS Press. msp.org/memocs ISSN 2325-3444 electronic; 2326-7186 print Electronic subscriptions to these journals, purchases separately, would cost about 2021 Price $185 Online Only / $245 print + online / $11,000 US. add $25 for shipping outside US For a full list of EMS journals included in the package, or to order through EMS Press instead of through MSP, please visit https://ems.press/info/packages. Founded in 2013 Indexed in MathSciNet, Scopus, zbMATH Additional MSP Package and Joint Package Options AMS Mathematical Citation Quotient 0.45 Publishes 400 pages per year, 15 articles per year Subscribers to either package can add to their package subscriptions, at a discounted price (plus the listed international shipping price for print delivery outside the US): • ANT add print: $265 • IIG add print: $65 • AGT add print: $340 • Involve add print: $105 Pacific Journal of Mathematics • APDE add print: $270 • MJCNT add print: $75 msp.org/pjm • AKT add print: $90 • PAA add print: $85 ISSN 1945-5844 electronic; 0030-8730 print • CAMCOS add print: $70 • TJM add print: $80 2021 Price $520 online only / $705 print + online / • GT add print: $340 add $75 for shipping outside US Joint Package subscribers can also add print delivery of EMS journals, through EMS Founded in 1951 Press. For details, please visit https://ems.press/journals. 2019 Impact Factor 0.697 5-Year Impact Factor .0.728 Indexed in MathSciNet, Scopus, Web of Science, zbMATH AMS Mathematical Citation Quotient 0.69 nonprofit scientific publishing Publishes 3,072 pages per year, 120 articles per year New in 2021 Probability and Mathematical Physics msp.org/pmp MSP’s two newest journals are freely available online in 2021, and will be ISSN 2690-1005 electronic; 2690-0998 print available by subscription starting in 2022. Probability and Mathematical Physics aims to be a leading Algebraic Statistics specialist journal in mathematical physics and probability, with particular emphasis on the interface between these msp.org/astat disciplines. The policies of PMP are set by the editorial ISSN 2693-3004 electronic; 2693-2997 print board and it is run with the interests of the scientific com- munity in mind. It welcomes submissions of research arti- Algebraic Statistics is an international journal devoted to cles in mathematical physics (broadly interpreted) and in the algebraic aspects of statistical theory, methodology and topics of probability connected to physics. High-quality and timely survey or applications. AStat seeks to publish a wide range of re- expository articles will also be published. search and review papers that address one of the following: Editors-in-Chief • algebraic, geometric and combinatorial insights into Alexei Borodin (Massachusetts Institute of Technology, USA) statistical models or the behavior of statistical proce- Hugo Duminil-Copin (Institut des Hautes Études Scientifiques, France, & Université de Genève, dures; Switzerland) Robert Seiringer (Institute of Science and Technology, Austria) • development of new statistical models and methods with interesting alge- Sylvia Serfaty (Courant Institute, New York University, USA) braic or geometric properties; novel applications of algebraic and geometric methods in statistics. Editorial Board • Nalini Anantharaman (Université de Strasbourg, France) Scott Armstrong (Courant Institute, New York University, USA) Managing Editors Roland Bauerschmidt (University of Cambridge, UK) Thomas Kahle (Otto-von-Guericke-Universität Magdeburg, Germany) Ivan Corwin (Columbia University, USA) Sonja Petrovic (Illinois Institute of Technology, USA) Mihalis Dafermos (Princeton University, USA)

Advisory Board Semyon Dyatlov (University of California Berkeley, USA)

Mathias Drton (Technical University of Munich, Germany) Yan Fyodorov (King’s College London, UK)

Peter McCullagh (University of Chicago, USA) Christophe Garban (Université Claude Bernard Lyon 1, France)

Giorgio Ottaviani (University of Florence, Italy) Alessandro Giuliani (Università degli studi Roma Tre, Italy)

Bernd Sturmfels (University of California, Berkeley, USA, and Max Planck Institute for Mathemat- Alice Guionnet (École normale supérieure de Lyon & CNRS, France) ics in the Sciences, Leipzig, Germany) Pierre-Emmanuel Jabin (University of Maryland, USA) Akimichi Takemura (University of Tokyo, Japan) Mathieu Lewin (Université Paris Dauphine & CNRS, France) Eyal Lubetzky (Courant Institute, New York University, USA) Editorial Board Jean-Christophe Mourrat (Courant Institute, New York University, USA) Marta Casanellas (Universitat Politècnica de Catalunya, Spain) | Alexander Engström (Aalto Univer- Laure Saint Raymond (École normale supérieure de Lyon & CNRS, France) sity, Finland) | Hisayuki Hara (Doshisha University, Japan) | Jason Morton (Pennsylvania State Uni- Benjamin Schlein (Universität Zürich, Switzerland) versity, USA) | Uwe Nagel (University of Kentucky, USA) | Fabio Rapallo (Università del Piemonte Vlad Vicol (Courant Institute, New York University, USA) Orientale, Italy) | Eva Riccomagno (Università degli Studi di Genova, Italy) | Yuguo Chen (Universi- Simone Warzel (Technische Universität München, Germany) ty of Illinois, Urbana-Champaign, USA) | Caroline Uhler (Massachusetts Institute of Technology, USA) | Ruriko Yoshida (Naval Postgraduate School, USA) | Josephine Yu (Georgia Institute of Technology, USA) | Piotr Zwiernik (Universitat Pompeu Fabra, Barcelona, Spain)

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