Possible upcoming and recent conferences:

Sept 2018: Open questions in number theory and cryptography, IrvineAug 2018: Arithmetic of Curves, Baskerville Hall

July 2018: Arithmetic Statistics and Diophantine Stability, Fondation des Treilles

May 2018: Rational and Integral Points via Analytic and Geometric Methods, Oaxaca

April 2018: Arithmetic of algebraic curves, UW-Madison

Oct 2017: Southern California Number Theory Day, UC Irvine

Oct 2017: WAGS, UCLA

Sept 2017: Arithmetic of Hyperelliptic Curves, Trieste

Jul-Aug 2017: Stacks Project Workshop, Ann Arbor

Jul 2017: Rational Points 2017, Schney

Jun 2017: Max Planck Institute, Bonn

May 2017: Arithmetic Aspects of Explicit Moduli Problems, Banff

May 2017: Geometric Methods in Number Theory and Representation Theory, Northwestern

April/May 2017: Emphasis year in Algebraic Geometry, Number Theory and Physics, Northwestern

Mar 2017: Elliptic Curves, Torsors, and L-functions, UVA

Nov 2016: Fields Medal Symposium, Fields Institute, Toronto

Sept 2016: Recent Developments on Elliptic Curves, Oxford

Aug 2016: ANTS-XII, Kaiserslautern

Jul 2016: Higher Dimensional Algebraic Geometry, Salt Lake City

July 2016: Arithmetic statistics and the Cohen-Lenstra Heuristics, Warwick

May 2016: The Galois theory of orbits in arithmetic dynamics, AIM

Dec 2015: RTG Workshop on Arithmetic Dynamics, Ann Arbor

Nov 2015: JHU-UMD Algebra and Number Theory Day, College Park

July 2015: AMS Summer Institute in Algebraic Geometry, Salt Lake City

July 2015: Explicit Methods in Number Theory, Oberwolfach

June/July 2015: Rational Points 2015, Franken-Akademie Schloss Schney

May 2015: Chicago Number Theory Day, UIC

May 2015: Women and Mathematics, IAS

Apr 2015: AWM Research Symposium, College Park, MD

Feb 2015: Bay Area Algebraic Number Theory and Arithmetic Geometry Day 10, Santa Cruz

Nov 2014: Counting arithmetic objects (Ranks of elliptic curves), Montreal

Aug 2014: Algebraic geometry: New connections for recent PhDs, Seattle

Jun-Jul 2014: Counting arithmetic objects, CRM Summer School, Montreal

Apr 2014: AGNES, Stony Brook

Apr 2014: WIN3: Women in Numbers 3, Banff

Mar 2014: Arizona Winter School: Arithmetic Statistics, Tucson

Feb 2014: Southern California Algebraic Geometry Seminar, USC

Oct 2013: AGNES, Boston College

Jul 2013: Rational Points 2013, Schloss Thurnau

Jul 2013: Conference on Algebraic Geometry, Amsterdam

May 2013: Atkin Memorial Workshop on Cohen-Lenstra Heuristics, UIC

Apr 2013: AMS Sectional Meeting, Boulder

Jan 2013: Joint Mathematics Meetings, San Diego

Dec 2012: Palmetto Number Theory Series XIX, University of South Carolina

Nov 2012: Arithmetic of Abelian Varieties in Families as part of the semester on Rational Points and Algebraic Cycles

Sep 2012: Selmer Groups, Descent and the Distribution of Ranks as part of the Warwick Number Theory Symposium

Aug 2012: Arithmetic Geometry at Oberwolfach

Jun 2012: MRC on Arithmetic Statistics, Snowbird