- The 23rd Midrasha Mathematicae: O-minimality and its applications in Diophantine Geometry and Hodge Theory, May 17-22, 2020, Israel Institute for Advanced Studies at the Hebrew University of Jerusalem, Israel

- Workshop on Galois Representations, Automorphic forms and their L-functions, April 20-23, 2020, University of Luxembourg, Luxembourg
- Integers Conference 2020, October 1-4, 2020, Augusta University, Augusta, Georgia, USA
*Class Groups of Number Fields and Related Topics*, Ed. Kalyan Chakraborty, Azizul Hoque and Prem Prakash Pandey, Springer, 2020

- Analytic and Geometric Number Theory, June 11-12, 2020, University of Bath, UK
- Bath Algebra, Geometry and Number Theory Seminar

- Thematic Program in p-adic L-functions and Eigenvarieties, May 25-29, 2020, Center for Mathematics at Notre Dame, Indiana, USA

- Harmonic Analysis and Analytic Number Theory Dual Trimester Program, May 3-August 20, 2021, Hausdorff Research Institute for Mathematics, Bonn, Germany

- Fourth Edition of Mid-Atlantic Seminar On Numbers (MASON), March 7-8, 2020, Gettysburg College, PA, USA
- Three year postdoc positioin at University of Glasgow

- Multiple Zeta Functions and Their Special Values, June15-21, 2020, Nesin Mathematics Village-Izmir-Turkey

- 20th Central European Conference on Cryptology, June 24-26, 2020, Zagreb, Croatia

- SouthEast Regional Meeting On Numbers (SERMON) 2020, April 4-5, 2020, Duke University, NC, USA

- Number Theory Workshop STNB 2020, 34th edition, February 3-7, 2020, Seminari de Teoria de Nombres de Barcelona, UB-UAB-UPC, Barcelona, Catalonia, Spain
- Arithmetic Groups and 3-Manifolds, March 23-27, 2020, University of Hagen, Germany

- The sixth mini symposium of the Roman Number Theory Association, May 6-8, 2020, Aula Urbano VIII, Argiletum, Via Madonna dei Monti 40, Università Roma Tre, Rome, Italy

- Number Theory Series in Los Angeles II, February 8-9, 2020, Occidental College, Los Angeles, CA 90042 USA

- Intercity Number Theory Meeting II, 28-29 December, 2019, Institute of Mathematical Sciences, Chennai India

- Tropical Geometry, Berkovich Spaces, Arithmetic D-Modules and p-adic Local Systems, June 15-19, 2020, Imperial College, London, UK

- Nancy Analytic and Probabilistic Number Theory Days, June 11-12, 2020, Institut Élie Cartan de Lorraine, Nancy, France
- 2020 REU: Number Theory, Representation Theory, and Topology at the University of Virginia (Application Deadline 2/15/2020)

- Fifth International Workshop on Zeta Functions in Algebra and Geometry, May 25-29, 2020, Nice, France

- The University of Sheffield is advertising for a Chair in Pure Mathematics (any area, but preference may be given for candidates who can interact with current staff in Topology, Number Theory, and Algebra and Geometry) closing date 12th January 2020, 23:59 UK time

- Automorphic Forms in Budapest 2020, June 1-5, 2020, Alfréd Rényi Institute of Mathematics, Budapest, Hungary
- Egham-Reading-London-Arithmetic-Statistics-Seminar (ERLASS), December 16th, 2019, Royal Holloway College, University of London, UK

- Memorial conference for Peter Swinnerton-Dyer, May 5-7, 2010, Isaac Newton Institute for Mathematical Sciences, Cambridge, UK

- Tenure track position in Algorithmic Number Theory / Algebraic Geometry at Graz University of Technology (English version) (German version)

- Afterword to the article
*Arithmetic on curves*(Barry Mazur) BAMS 55, 353-358, 2018 *A Gentle Course in Local Class Field Theory Local Number Fields, Brauer Groups, Galois Cohomology*, Pierre Guillot, CUP, 2018- L-functions and Iwasawa theory, June 8-12, 2020, Roscoff, France
*Arithmetic and Geometry: Ten Years in Alpbach*, Ed. Gisbert Wüstholz, Clemens Fuchs, Annals of Mathematics Studies 202, Princeton University Press, 2019*Eisenstein Cohomology for GL*, Anantharam Raghuram, Günter Harder, Annals of Mathematics Studies 203, Princeton University Press, 2019_{N}and the Special Values of Rankin-Selberg L-Functions- Singular moduli for real quadratic fields, Jan Vonk, IAS Princeton video

*Diophantine Equations and Power Integral Bases (Theory and Algorithms)*, István Gaál, Birkhaüser, 2019 (new, substantially extended second edition)- Conference on Diophantine m-tuples and Related Problems III, September 23-25, 2020, University of Zagreb, Zagreb Croatia

- 5th EU/US Summer School + Workshop on Automorphic Forms and Related Topics, July 6-18, 2020, Sarajevo, Bosnia and Herzegovina

- The Palmetto Number Theory Series (PANTS) 33rd meeting, December 14-15, 2019, Clemson University, Clemson, SC, USA

- 4th Number Theory Meeting at Torino, October 24-25, 2019, Dipartimento di Matematica "G. Peano", Università di Torino, Torino, Italy

- Of Problems and Numbers, a conference in honour of Roberto Dvornicich's 70th birthday, June 18-20, 2020, Dipartimento di Matematica, Università di Pisa, Pisa, Italy
- Legendre polynomials and Jacobsthal sums (Zhi-Hong Sun)
- Binary quadratic forms and sums of triangular numbers (Zhi-Hong Sun)
- Cubic, quartic, octic residues and Lucas sequences (Zhi-Hong Sun)
- p-regular functions and congruences for Bernoulli and Euler numbers (Zhi-Hong Sun)

- Number Theory days in Regensburg - Special values of L-functions, April 27-30, 2020, Regensburg, Germany
- Christopher Hooley: 1928-2018, LMS Newsletter, September 2019, 47-48
*Perfectoid Spaces: Lectures from the 2017 Arizona Winter School*, Editors and authors, Bryden Cais, Bhargav Bhatt, Ana Caraiani, Kiran S. Kedlaya, Peter Scholze, Jared Weinstein, AMS Mathematical Surveys and Monographs**242**, 2019- The Perfectoid Concept: Test Case for an Absent Theory, Michael Harris
*A Course in Cryptography*, Heiko Knospe, AMS Pure and Applied Undergraduate Texts**40**, 2019

- The Heilbronn Institute for Mathematical Research invites applications for Heilbronn Research Fellowships. Fellows divide their time equally between their own research and the internal research programme of the Heilbronn Institute, which offers opportunities to engage in collaborative work as well as individual projects. Fellowships can be held at any of partner institutions: Imperial College London, King's College London, University of Bristol, University College London, University of Manchester. The expectation is to make up to six appointments in Bristol, one appointment at each of the London Colleges (Imperial, Kings, and UCL), and up to three appointments in Manchester.

- Conference in Analytic Number Theory at Wits, in South Africa, September 30-October 4, 2019

- Number theory symposium to celebrate the 132nd birth anniversary of Srinivasa Ramanujan, December 22-23, 2019 at the Indian Institute of Technology, Gandhinagar, India
- Number Theory Conference in Honour of Kálmán Győry - János Pintz - András Sárközy, July 13-17, 2020, Debrecen, Hungary
- On the non-triviality of arithmetic invariants and its applications, June 22-July 3, 2020, The National Center for Theoretical Sciences (NCTS), Taiwan

- N-cube days XI, November 15-16 2019, Chalmers University of Technology and University of Gothenburg, Göteborg, Sweden

- Fourteenth Algorithmic Number Theory Symposium (ANTS-XIV), June 30-July 4, 2020, University of Auckland, New Zealand

- 19th International Fibonacci Conference, July 20-25, 2020, University of Sarajevo, Bosnia and Herzegovina

- Message from Tim Browning to future authors:

This year the Proceedings of the LMS has been taken in a new and more ambitious direction, with the goal of making it competitive with some of the best mathematics journals in other countries.It now has its own dedicated Editorial Board of leading international experts, including Nalini Anantharaman, Tim Browning, Hélène Esnault, Bryna Kra, James McKernan, Manuel del Pino, Oscar Randal-Williams, Raphaël Rouquier, Scott Sheffield, Anna Wienhard and Daniel T. Wise.

You can read more about the changes here.

The plan is to start publishing in January 2021, but we are already soliciting strong submissions. Please consider submitting your next paper to PLMS.

- PARI/GP Atelier 2020, January 20-25, 2020, Institut Fourier, Université Grenoble Alpes, France
- Sum of three cubes for 42 finally solved

- PhD positions in number theory, additive combinatorics, zero sum theory, extremal combinatorics and others, Graz (Austria) (deadline 22nd September 2019)
- 7th International Conference on Uniform Distribution Theory UDT2020, July 6-10, 2020, Linz, Austria

- 100 Years of Mock Theta Functions: New Directions in Partitions, Modular Forms, and Mock Modular Forms, May 18-19, 2020, Vanderbilt University, Nashville, TN, USA

- Hausdorff Summer School: The Circle Method - Entering its Second Century, June 29-July 3, 2020, Hausdorff Center for Mathematics, University of Bonn, Germany

- Front Range Number Theory Day, November 16th, 2019, Colorado State University, Fort Collins, Colorado, USA

- ELAZ conference on elementary and analytic number theory (ELAZ 2020), August 24-28, 2020, Adam Mickiewicz University, Poznań, Poland

- Géométrie algébrique, Théorie des nombres et Applications (GTA 2020), September 21-25, 2020, Tahiti, French Polynesia
- Arithmetic geometry, cycles, Hodge theory, regulators, periods and heights, March 30-April 3, 2020, Isaac Newton Institute for Mathematical Sciences, Cambridge, UK

- Special Session on Number Theory and Algebraic Geometry during the 2019 Australian Mathematical Society Meeting, December 3-6, 2019, Monash University Clayton Campus

- Palmetto Number Theory Series 32, September 21-22, 2019, University of North Carolina at Charlotte, Charlotte, NC, USA

- 34th Annual Automorphic Forms Workshop, May 11-15 2020, Moab, Utah, USA

- Alexander Smith of Harvard University wins the David Goss Prize
*On the class number of abelian number fields*, Hasse's classic, translated by M. Hirabayashi, Springer, 2019*Hecke's L-functions*, Kenkichi Iwasawa, typeset from the original 1964 notes of the author, Springer 2019

- The Sixth Mini Symposium of the Roman Number Theory Association, May 6-8, 2020, Argiletum, Università Roma Tre, Rome, Italy
- International conference on class groups of number fields and related topics - ICCGNFRT 2019, October 16-19, 2019, Harish-Chandra Research Institute, Allahabad, India

- Modular Forms on Higher Rank Groups, September 17-20, 2019, TU Darmstadt, Germany

- Connecticut Summer School in Number Theory 2020, June 8-14, 2020, University of Connecticut, USA

*Notes from the International Autumn School on Computational Number Theory*, Ed. Ilker Inam, Engin Büyükaşik, Birkhäuser 2019*The Computational and Theoretical Aspects of Elliptic Curves*, Ed. Zhibin Liang, Chandrakant Aribam, Springer 2019*A Torsion Jacquet-Langlands Correspondence*, Frank Calegari, Akshay Venkatesh, Asterisque**409**, AMS 2019*Siegel Modular Forms: A Classical and Representation-Theoretic Approach*, Ameya Pitale, Springer 2019

- Crop circles drawn by Riemann's zeta function and some other its nearby properties, Yuri Matiyasevich
- 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

- Arithmetic, algebra and algorithms - celebrating the mathematics of Hendrik Lenstra, April 13-17 2020, International Centre for Mathematical Sciences, Edinburgh, Scotland, UK
- Midwest Arithmetic Geometry and Number Theory Series 2019, October 12-13, 2019, The Ohio State University, EA Building, 209 W 18th Ave, Ohio, USA

- Maine/Quebec number theory conference, October 5-6, 2019, University of Maine, Orono, USA

- A CIMPA research school on Group Actions in Arithmetic and Geometry, February 17-28, 2020, Universitas Gadjah Mada Yogyakarta, Indonesia

- Illustrating Number Theory and Algebra, Oct 21-25, 2019, ICERM, Providence, RI. USA

- Automorphic p-adic L-functions and regulators, October 14-18, 2019, University of Lille, Lille, France

- ECC 2019 will be held in Bochum, Germany, December 2-4, 2019

- LMFDB as a microscope and a telescope, September 4-6, 2019, American Institute of Mathematics, San Jose, California, USA

- 2019 2nd q-Day : q-series and related topics, August 16, 2019, KIAS, South Korea
- Interactions between Hyperbolic Geometry and Number Theory, July 4-5, 2019, University of Luxembourg, Luxembourg

- Combinatorial and Additive Number Theory (CANT 2019), May 21-24, 2019, CUNY Graduate Center, New York, USA

*Closing the Gap*, Vicky Neale, OUP, 2017

- PhD and postdoc position in number theory at the University of Basel, financed by the Swiss National Science Foundation (The deadline for applying is May 31, 2019)

- Andrew Fiori
- Alberta Number Theory Days XI (ANTD XI), May 10-12, 2019, Banff International Research Station, Banff, Canada

- Central European Number Theory conference, September 1-6, 2019, Komárno, Slovakia

- Number Theory Series in Los Angeles, October 26-27, 2019, Occidental College, Los Angeles, CA, USA

- Dynamics and Number Theory, June 12-14, 2019, University of Sydney, Sydney, Australia

- PhD positions in number theory, additive combinatorics and zero sum theory, Graz (Austria) (deadline April 30th)

- Summer program on number theory and related topics at Harbin Institute of Technology (HIT), May to August 2019
- The 26th meeting of the LPNTS will take place at King's College London. The theme is p-adic cohomology and integration, May 7-8, 2019

- Summer school "Galois Theory and Number Theory", July 13-19, 2019, Dresden, Germany

- Early Career Research Workshop (ECRW) in Coding Theory, Cryptography, and Number Theory, June 24-28, 2019, Clemson University, USA

- Adrian Barquero-Sanchez
- Topics in Rational and Integral Points, September 2-13, 2019, "Old University", Rheinsprung 9, Basel, Switzerland

- Lukas Pottmeyer
- Chris Birkbeck
- Prapanpong Pongsriiam
- Peter Koymans
- Djordjo Milovic
- Bharathwaj Palvannan
- Kirsti Biggs
- Yifeng Liu
- V. Vinay Kumaraswamy
- Stefano Vigni
- Alexander B. Kalmynin
- Jetjaroen Klangwang
- Marija Bliznac Trebješanin

- Nick Andersen
- Sarah Peluse
- Emanuel Carneiro
- Data associated with a paper of Benjamin Matschke and Rafael Känel
- Benjamin Matschke
- Lei Zhang
- Ari Shnidman

- SERMON 2019, April 13-14, 2019, University of North Carolina Greensboro, USA
- Jean-Marc Fontaine (1944-2019)

- p-adic modular forms and Galois representations, July 15-19, 2019, University of Sheffield, UK

- Early history of the Riemann Hypothesis in positive characteristic, Franz Oort and Norbert Schappacher, ALM 35, Higher Education Press and International Press, 2016, pp. 567-594
- Number Theory at UNSW Canberra

*Arithmetic Geometry: Computation and Applications*, Ed. Yves Aubry, Everett Howe, Christophe Ritzenthaler, Contemporary Mathematics, Volume 722, AMS, 2019- School (and Workshop) on Diophantine geometry and special varieties, September 16-21, 2019, Trento, Italy
- Arithmetic of connections, Summer School, July 15-19, 2019, ETH Zurich, Switzerland

*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

- 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