*Arithmetic Geometry: Computation and Applications*, Ed. Yves Aubry, Everett Howe, Christophe Ritzenthaler, Contemporary Mathematics, Volume 722, AMS, 2019

*Zeta and L-functions in Number Theory and Combinatorics*, Wen-Ching Winnie Li, CBMS Regional Conference Series in Mathematics, Volume 129, AMS, 2019*Number Theory and Geometry: An Introduction to Arithmetic Geometry*, Álvaro Lozano-Robledo, Pure and Applied Undergraduate Text, Volume 35, AMS, 2019- Four decades of Czech and Slovak number theory conferences (Stefan Porubský)
- Boston University-Keio University workshop in number theory, June 24-28, 2019, Boston University, Boston, USA
- Front Range Number Theory Day, April 27, 2019, University of Colorado, Boulder, Colorado, USA

- Brock International Number Theory Conference II, May 2-3, 2019, Brock University, Ontario, Canada

- 49th John H. Barrett Memorial Lectures: Recent Developments in Number Theory, May 28-30, 2019, University of Tennessee, Knoxville, TN, USA

*The Riemann Hypothesis in Characteristic p in Historical Perspective*, Peter Roquette, Springer, 2018; MAA review by Fernando Gouvêa

- 7th meeting of the annual Number Theory Down Under conference, NDTU-7, September 30-October 3, 2019, University of New South Wales, Sydney, Australia

- Ninth Annual Upstate Number Theory Conference, April 27-28, 2019, Cornell University, Ithaca, USA

- Conference on Enumerative Arithmetic and the Cohen-Lenstra Heuristics, June 3-7, 2019, Max Planck Institute in Bonn, Germany
- N-cube Days X and Number Theory Days, May 20-22 and 23-24, 2019, Turku, Åbo Akademi University, Finland

- Canadian Number Theory Association (CNTA) XVI, June 22-26, 2020, Toronto, Ontario, Canada

- 8
^{a}Jornadas de Teoría de Números, June 25-28, 2019, Vilanova, Barcelona, Spain

- Lluís Santaló Research Summer School 2019: p-Adic Analysis, Arithmetic and Singularities, June 24-28, 2019, Santander, Spain

- Kwok-Wing Tsoi
- BIRS-CMO Workshop on Number Theory in the Americas, August 11-16, 2019, Casa Matematica Oaxaca, Oaxaca, Mexico

- Journées Arithmétiques XXXI, July 1-5, 2019, Istanbul University, Istanbul, Turkey

- Arithmétique p-adique des formes automorphes: conférence en l'honneur de J. Tilouine, May 27-31, 2019, l'Université Paris 13 (Institut Galilée), Paris France
- p-adic modular forms and p-adic L-functions, May 20-24, 2019, Villa del Grumello, Como, Italy
- L-functions and Multiplicative Number Theory, May 20-24, 2019, University of Mississippi, Oxford, Mississippi, USA

- LMS Regional Meeting Nottingham 2019, September 11-13, 2019, University of Nottingham, Nottingham, UK

- International Summer School on L
^{2}-Torsion and Symmetric Spaces, September 30-October 4, 2019, Mathematical Institute, University of Göttingen, Germany - Arithmetic of Function Fields and Diophantine Geometry, May 20-24, 2019, National Center for Theoretical Sciences, Taipei, Taiwan

- XVI International conference on Algebra, Number Theory and Discrete Geometry: modern problems, applications and problems of history, dedicated to the 80th anniversary of the birth of Professor Professor Michel Desa, May 13-18, 2019, Leo Tolstoy Tula State Pedagogical University, Tula, Russia
- XVII International conference on Algebra, Number Theory and Discrete Geometry: modern problems, applications and problems of history, dedicated to the centenary of the birth of Professor N. I. Feldman and the ninetieth anniversary of the birth of Professors A. I. Vinogradov, A. V. Malyshev and B. F. Skubenko, September 23-28, 2019, Leo Tolstoy Tula State Pedagogical University, Tula, Russia
- Chebyshevskii Sbornik, an open access journal
- Northern Number Theory Seminar

- Mini-Symposium on Analytic Number Theory and Applications, April 1, 2019, Johannes Kepler University Linz, Austria

- Recent advances in the arithmetic of Galois representations, July 15-19, 2019, Dipartimento di Matematica, Università di Genova, Italy

*The Story of Algebraic Numbers in the First Half of the 20th Century: From Hilbert to Tate*, Władysław Narkiewicz, Springer 2019*Teoria dos números um passeio com primos e outros números familiares pelo mundo inteiro*, Fabio Martinez, Carlos Gustavo Moreira, Nicolau Saldanha e Eduardo Tengan, IMPA 2018- Review of Dan Flath's book: Introduction to Number Theory, by Fernando Q. Gouvêa
*An Experimental Introduction to Number Theory*, Benjamin Hutz, American Mathematical Society, Pure and Applied Undergraduate Texts, Volume 31, 2018*Number Theory, an Historical Approach*, John J. Watkins, Princeton University Press, 2014- Geometric methods in p-adic representation theory, July 29th - August 2nd, 2019, Trinity College Dublin, Ireland
- Bogdan Dina

- PIMS Workshop on Arithmetic Topology, June 10-14, 2019, University of British Columbia, Vancouver, Canada
- PRIMO, a primality proving program (Marcel Martin)

- Cryptography meets Graph Theory, a Summer School, July 29 - August 02, 2019, Institut für Mathematik, Universität Würzburg, Germany
- 2018 Sastra prize winners

- Function field arithmetic conference, February 18-21, 2019, Tel Aviv University, Israel
- PhD positions in number theory and additive combinatorics, Graz, Austria

*Mathematical Constants II*, Steve Finch, CUP 2019- Associate Professorship (or Professorship) of Pure Mathematics (Cryptography and associated areas) in association with Lincoln College, Oxford University, UK

- Iwasawa theory, an introduction by Romyar Sharifi, AMS Notices, January 2019
- Alan Baker 1939-2018, a memorial tribute by David Masser, AMS Notices, January 2019

- Sir Peter Swinnerton-Dyer (1927-2018)
- Number Theory Workshop STNB 2019, 33rd edition (Seminari de Teoria de Nombres de Barcelona) January 21-25, 2019, Faculty of Mathematics (University of Barcelona), Gran Via de les Corts Catalanes, 585; 08007 Barcelona, Catalonia