| October 2, 2018 | Henna Koivusalo (UWien) | Cut and project sets and Diophantine approximation |
| October 9, 2018 | Nick Rome (Bristol) | Local solubility for families of conic bundles |
| October 30, 2018 | Adelina Mânzateanu (IST) | Le Rudulier over function fields |
| November 6, 2018 | Kevin Destagnol (IST) | Malle vs Manin |
| November 13, 2018 | Arne Smeets (Nijmegen) | Orbifold Mordell |
| November 20, 2018 | Tim Browning (IST) | The Getz adelic delta function I |
| November 27, 2018 | Tim Browning (IST) | The Getz adelic delta function II |
| December 4, 2018 | Hongjie Li (IST) | Grothendieck ring of varieties |
| December 12, 2018* | Alec Shute (IST) | Random cubic surfaces |
| December 18, 2018 | Kevin Destagnol (IST) | Malle vs Manin redux |
| January 8, 2019 | Alina Ostafa (UNSW Sydney) | Multiplicative dependence in value sets and orbits of rational functions |
| January 22, 2018 | Nick Rome (Bristol) | Fields of definition of sets of rational curves of a given degree |
| January 29, 2019 | Kevin Destagnol (IST) | Points of bounded height and degree via height zeta functions |
| Febuary 5, 2019 | Adelina Mânzateanu (IST) | Hilbert property for varieties |
| Febuary 12, 2019 | Tim Browning (IST) | Mixed Waring’s problem and counting Campana points on orbifolds |
| Febuary 26, 2019 | Adelina Mânzateanu (IST) | 0-cycles and analytic number theory |
| March 5, 2019 *3-4pm | Bryce Kerr (UNSW Sydney) | Points on polynomial curves in small boxes modulo an integer. |
| March 19, 2019 | Alec Shute (IST) | 33 cracked: a description of Booker’s algorithm |
| March 26, 2019 | Kevin Destagnol (IST) | Châtelet surfaces, real quadratic fields and a distant hope |
| April 9, 2019 | Ranita Biswas (IST) | Topological properties of digital conics through Diophantine relaxation |
| May 14, 2019 | Julian Lyczak (IST) | Integral Hasse principle and del Pezzo surfaces of degree 5, I |
| May 28, 2019 | Julian Lyczak (IST) | Integral Hasse principle and del Pezzo surfaces of degree 5, II |