*New Conjectures in Number Theory and Combinatorics (in Chinese)*, Zhi-Wei Sun, Harbin Institute of Technology Press, 2021, ISBN:978-7-5603-4378-5. This book consists of 13 chapters, and contains 820 open conjectures in number theory and combinatorics posed by the author.

- Andrzej Schinzel (1937-2021)
- Documenta Mathematica, Extra Vol., Mahler Selecta (2019) eLibM, also see bottom of Michael Baake's page

- Two 36 months postdoc positions related to project "Geometry Analytic Number Theory", University of Bath, UK

- The L-Functions and Modular Forms Database, John E. Cremona, John W. Jones, Andrew V. Sutherland, and John Voight, AMS Notices October, 2021

- Oregon Number Theory Days, October 2, 2021, Portland State University in Portland, OR, USA

- International Conference on Class Groups of Number Fields and Related Topics-2021, October 21-24, 2021, Kerala School of Mathematics, India
- PAlmetto Joint Arithmetic, Modularity, and Analysis Series (PAJAMAS), online via Zoom, September 25-26, 2021

- The Maine-Quebec number theory conference, October 2-3, 2021, Universty of Maine

- Modular forms, An online conference in honour of Prof. B. Ramakrishnan's 60th birthday, September 17-19, 2021
- Biplab Paul
- B. Ramakrishnan

- Number Theory Down Under 9, September 27-30, 2021, University of Sydney, likely to be an online conference

- Victor Snaith (1944-2021)
- Data, Numbers, Geometry workshop, August 25-26, 2021, (Online)

- Lynne Walling (1958-2021)

- A Tour of Arithmetic Geometry: a conference in honour of Bas Edixhoven's 60th birthday, 4-8 April 2022, Schiermonnikoog, Netherlands (a preliminary announcement)

- Moroccan Journal of Algebra and Geometry with Applications, (a new journal which accepts papers from number theory)

- Georg Johann Rieger (1931-2021)

- HKU Number Theory Days 2021, an online number theory conference, July 21-23 & 26-27, 2021, at the University of Hong Kong

- A Mini Conference on Number Theory and Related Topics, July 30 - August 1, 2021, a webinar at SRM University - AP, Neerukonda, Guntur District, Andhra Pradesh, India

- Triangle Groups, Belyi Uniformization, and Modularity, a series of trimester programs (online) August 2021 to July, 2022 at Bhaskaracharya Pratishthan, Pune, India

*Steps into Analytic Number Theory: A Problem-Based Introduction*, Paul Pollack, Akash Singha Roy, Problem Books in Mathematics, Springer, 2021, Review by Allen Stenger- Number theory seminar at the Institute of Mathematics, Polish Academy of Science

- Discrete Groups, Geometry and Arithmetic, an online international conference in honour of M.S. Raghunathan's 80th birthday, August 9-11, 2021

- The Tenth Annual Upstate Number Theory Conference, October 23-24, 2021 at Union College in Schenectady, NY, USA

- 5th Number Theory Meeting - Torino, (Online) October 26-27, 2021

*Metodi Elementari nello studio della distribuzione dei Numeri Primi (Elementary methods in the study of prime numbers distribution)*, Bachelor degree thesis, Chiara Bellotti, Università di Pisa, 2018/2019

- Mathematicians welcome computer-assisted proof in `grand unification' theory, Nature, News, 18th June 2021
- Symposium on Number Theory (in honour of Professor M. V. Subbarao on his birth centenary), ONLINE, July 12-16, 2021

*Lie Groups, Number Theory, and Vertex Algebras*, Ed. Dražen Adamović, Andrej Dujella, Antun Milas, Pavle Pandžić, Contemporary Mathematics, Vol. 768, AMS 2021

- Cogent Seminar: An online seminar on the cohomology of arithmetic groups and related topics, starting June 21, 2021

*Arithmetic Tales, Advanced Edition*, Olivier Bordellès, Springer 2020*An introduction to probabilistic number theory*, Emmanuel Kowalski, CUP 2021*Number Theory*, Róbert Freud, Edit Gyarmati, Pure and Applied Undergraduate Texts, Vol. 48, AMS 2020, MAA Review by Karl-Dieter Crisman- Review of
*An Invitation to the Rogers-Ramanujan Identities*, Andrew V. Sills, 2017, Reviewed by Krishnaswami Alladi *Srinivasa Ramanujan: Life and Work of a Natural Mathematical Genius, Swayambhu*, K. Srinivasa Rao, Springer 2021*An Introduction to q-analysis*, Warren P. Johnson, Textbook, AMS 2020*Rational Points on Curves Over Finite Fields*, Jean-Pierre Serre, Documenta Mathématiques, Vol. 18, Société Mathématique de France 2020

- Mathmeetings (Arithmetic geometry and number theory)
- Conference on the arithmetic of L-values, June 21-25, 2021, University of Luxembourg, Luxembourg
*Abelian Varieties and Number Theory*, Ed. Moshe Jarden, Tony Shaska, Contemporary Mathematics, Volume 767, AMS 2021*p-Adic Heights and p-Adic Hodge Theory*, Denis Benois, Memoires de la Société Mathématique de France, Vol. 167, 2021*Development Of Iwasawa Theory: The Centennial of K. Iwasawa's Birth*, Ed. Masato Kurihara, Kenichi Bannai, Tadashi Ochiai, Takeshi Tsuji, Advanced Studies in Pure Mathematics, Vol. 86, 2020*Number Theory Revealed: A Masterclass*, Andrew Granville, Miscellaneous Books, Vol. 127, AMS, 2019

- Around Frobenius distributions and related topics II, June 28-29, 2021 (ONLINE)

- Elliptic curves and the special values of L-functions (ONLINE) August 2-7, 2021

- Erdös 100 Plus, reviewed by Dan Goldston, NAMS, May 2021
- Memorial Article for John Tate, Edited by Barry Mazur and Kenneth A. Ribet, NAMS, May 2021
*An Invitation To Algebraic Numbers And Algebraic Functions*, Franz Halter-Koch, Chapman and Hall/CRC, 2020, MAA Review by Michael Berg

- PhD position at the Graz University of Technology in Graz, Austria
- The DFG-funded "Sonderforschungsbereich" CRC 326 GAUS
"Geometry and Arithmetic of Uniformized Structures (GAUS)"

located at Goethe-Universität Frankfurt, at Technische Universität Darmstadt, and at Ruprecht-Karls-Universität Heidelberg, with partners at Johannes-Gutenberg Universität Mainz and Technische Universität München will be launched on July 1st, 2021.

It invites applications for 20 Research Assistants / PhD-Students (m/f/d) and 10 Postdoctoral researchers (m/f/d) for the duration of 3 years (PhD) resp. of 2 years (postdoc) on a fixed-term basis. The research projects and participating scientists are listed in detail on the CRC website at crc326gaus.de. Candidates for the research assistant positions must have completed a degree (Diploma or Master) in mathematics or a related subject. Candidates for the postdoctoral positions must hold a PhD in mathematics or a related subject.

There is committment to increase the proportion of women in research. Qualified female applicants are therefore particularly encouraged to apply. Among candidates of equal aptitude and qualifications, a person with disabilities will be given preference. Qualified academics are invited to submit their application accompanied by the usual documents and indications of their preferred projects, supervisor and locations, as indicated on the web pages of the participating universities available under crc3 26gaus.de/job-opportunities/.

Reviewing of applications will start in June 2021. Later applications will be considered until all positions have been filled.

*Bounded gaps between primes: the epic breakthroughs of the early 21st century*, Kevin Broughan, CUP 2021, 576p+xiv

- Eisenstein series and equivariant cohomology, an online workshop, July 5-7, 2021, via Zoom. To participate it suffices to send an email to sfb-higher-invariants@mathematik.uni-regensburg.de asking for the access data (meeting ID, password)

- Online summer school on K-theory and representation theory, July 19-23, 2021

- Theta Series: Representation Theory, Geometry, and Arithmetic, July 5-9, 2021, The Fields Institute, Toronto, Canada, an online conference

- Dr Rationalpoints, a one-day online conference, May 14, 2021, The topic is analytic number theory/rational points on varieties. The talks and coffee breaks are public. The conference is organised and hosted by the ZORP online seminar.

- Harold Edwards (1936-2020)
- Norman Herzberg (1937-2020)
- John S. Hsia (1938-2020)

- La grandezza dei punti piccoli, Celebrating Francesco Amoroso's 60th birthday, May 23-25, 2022, Università di Pisa

- RSVP: Rendez-vous on special values and periods, an online conference, May 19-21, 2021, École Normale Supérieure de Lyon, France

- Rational points on higher-dimensional varieties, April 25-29, 2022, ICMS, Bayes Centre, 47 Potterrow, Edinburgh

- Canadian Mathematical Society Summer Meeting (online), June 7-11, 2021. The first three listed special sessions are on number theory, and can be viewed by registered participants

- ELAZ 2022
**(postponed version of ELAZ 2021)**August 22-26, 2022, Adam Mickiewicz University, Poznań, Poland

*Number Theory*, Andrej Dujella, Zagreb, 2021

- Ninth Bucharest Number Theory Days, a conference in honor of Alexandru Zaharescu's 60th Birthday, an online conference, June 1-3, 2021

- Peter Lawrence Montgomery (1947-2020)

- Online conference on Diophantine Analysis organized by The Moscow Institute of Physics and Technology, May 31-June 05, 2021. The conference is supported by The Moscow Journal of Combinatorics and Number Theory
- Rényi Postdoctoral Fellowship

- Leuca2022, Celebrating Claude Levesque's, Damien Roy's and Michel Waldschmidt's birthdays, May 16-21, 2022, Marina di San Gregorio, Patù (Lecce), Italy (new date and conference title)

- Workshop New connections in number theory and physics, May 24-28, 2021, Isaac Newton Institute for Mathematical Sciences, Cambridge, UK. This virtual workshop aims to investigate connections between various fields of theoretical physics, in particular string theory and statistical models of crystals, and the theory of automorphic forms, mock modular forms and beyond.

- Postdoctoral position for early career mathematicians at IMPAN (closing date May 11, 2021)

- Conference: L-functions and Iwasawa theory, November 15-19, 2021, Station biologique de Roscoff, France

- Front Range Number Theory Day, April 24th, 2021 on Zoom (The goal of the FRNTD is to provide a venue for faculty, graduate students, and undergraduates on the Front Range who are interested in number theory to meet, learn, and collaborate)
- A short course by Yuri Bilu on the recent proof of Schinzel-Zassenhaus conjecture by Vesselin Dimitrov (SPARC Lecture series)
- Quanta magazine article on the recent proof of Schinzel-Zassenhaus conjecture by Vesselin Dimitrov

- YRANT III has been moved online

- Jonathan Sondow (1943-2020)

- Colin Bushnell (1947-2021)
- Balu Fest at Chennai, an online conference, at IMSc, Chennai, March 12-18, 2021
- Eighth International Conference on p-adic mathematical physics and its applications (p-adics.2021) a web conference, May 17-28, 2021

- Remarks on the History of Fermat's Last Theorem - Michael Rosen, 16 February 2016

- Women in automorphic forms, Bielefeld University, September 20-22, 2021, (the conference will be in a hybrid format)
- UCD Research Demonstratorships (including Number Theory), deadline: March 9, 2021

- The Fifth Mid-Atlantic Seminar on Numbers (MASON V), an online conference, March 27-28, 2021

- Number Theory, Strings, and Quantum Physics, an online conference, June 1-5, 2021

- Online workshop in Unlikely Intersections, Diophantine geometry, and related fields, April 12-16, 2021

- Aleksandar Ivić (1949-2020)

- The third Young Researchers in Algebraic Number Theory meeting (YRANT III) (optimistically, the plan is to hold the event in person at the University of Bristol this year, during the dates Aug 18th-20th (delayed from last year). If this is not possible, the event will be held online and this will be announced nearer the date.)

- 3-days online conference on Number theory in Italy, February 18, February 24 and March 4, 2021
- Women in Numbers - Europe 4, 29 August – 2 September 2022, Utrecht University, Utrecht, The Netherlands (This is a workshop that aims to support new collaborations for women in number theory. Prior to the conference, the project leaders will design projects and provide background reading and references for their groups. Each participant will be assigned to a working group according to her research interests. During the workshop there will be some talks and career-development activities, but there will also be ample time dedicated to working in the working groups.)

- Postdoc in number theory at Charles University, Prague, Czech Republic (deadline January 31, 2021)

- Tomio Kubota (December 6, 1930 - June 30, 2020)