| Date | Speaker | Topic |
| September 18, 2018 * | Francesca Balestrieri (MPI Bonn) | Arithmetic of zero-cycles on products of Kummer varieties and K3 surfaces |
| September 27, 2018 | Emilio Franco (Porto) | Branes on the singular locus of the Hitchin system via Borel and other parabolic subgroups |
| October 4, 2018 | Zsolt Patakfalvi (EPFL) | Positivity of the Chow-Mumford line bundle for families of K-stable Q-Fano varieties |
| October 11, 2018 | Pierre Le Boudec (Basel) | Height of rational points on random Fano hypersurfaces |
| October 18, 2018 | Nikita Nikolaev ( Université de Genève) | Abelianisation of Logarithmic sl(2)-Connections |
| November 8, 2018 | Tony Yue Yu (Orsay) | The Frobenius structure conjecture |
| November 9, 2018 * | Grigory Mikhalkin (Geneva) Tim Browning (IST) | Budapest-Wien AG |
| November 15, 2018 | Fernando R.Villegas (ICTP) | Chasing hypergeometric motives |
| November 22, 2018 | Marta Pieropan (EPFL) | Rational points over C_1 fields. |
| November 29, 2018 | Emmanuel Peyre (Grenoble) | Where are the rational solutions? |
| December 6, 2018 | Damaris Schindler (Utrecht) | On the Hasse principle for integral points |
| December 7, 2018* | Olivier Wittenberg (Orsay) Andras Stipsitz (Renyi Budapest) | Budapest-Wien AG |
| December 13, 2018 | Stefan Schreieder (LMU Munich) | Stably irrational hypersurfaces of small slopes |
| December 20, 2018 | Andrei Okounkov (Columbia) | Characters, and other special functions, from the point of view of the enumerative geometry |
| January 23, 2019 | Joel Kamnitzer (Toronto) | BFN Springer theory |
| January 24, 2019 | Will Sawin (Columbia) | On the Ramanujan conjecture over function fields |
| March 7, 2019 | Angel Gonzalez Prieto (Madrid) | Hodge theory of character varieties via Topological Quantum Field Theories |
| March 14, 2019 | Pankaj Vishe (Durham) | Rational points over global fields and applications. |
| March 21, 2019 | Olivier Schiffmann (Orsay) | Hall algebra approach to cohomology rings |
| March 28, 2019 | Per Salberger (Chalmers) | Counting rational points on cubic hypersurfaces |
| April 4, 2019 | Szilard Szabo (Renyi, Budapest) | Logarithmic lambda-connections, singular opers and Hilbert schemes of points on ruled surfaces |
| April 11, 2019 | Alberto Minguez (UWien) | Some determinantal formulas in the representation theory of p-adic general linear groups |
| April 18, 2019 | Eric Vasserot (Université Paris Diderot) | Cohomological algebras and factorization algebras |
| April 25, 2019 | Alex Küronya (Goethe Universität Frankfurt) | Effective global generation on manifolds with numerically trivial canonical bundle |
| May 2, 2019 | Johannes Nicaise (Imperial) | Specialization of (stable) rationality in families with mild singularities |
| May 9, 2019 | Lilla Tóthmérész (Eötvös Loránd University, Budapest) | Sandpile group of graphs and digraphs |
| May 16, 2019 | Paul Nelson (ETH Zürich) | Applications of the orbit method to analysis of automorphic forms |
| May 23, 2019 | Sofia Tirabassi (University of Bergen and Stockholm University) | (Twisted) Derived Categories of bielliptic and Enriques surfaces |
| June 19, 2019 * | Xinwen Zhu (Caltech) | Bessel equations, Kloosterman sums, and the geometric Langlands correspondence |
| July 4, 2019* | George Lusztig (MIT) Matyas Domokos (Renyi, Budapest) | Budapest-Wien AG |
