Mon | Nov 04 | 15:30 | Mikayel Mkrtchyan | Connections with regular singularities in higher dimension | |

Mon | Oct 28 | 14:30 | Julia Meng | Regular connections in dimension 1 | |

Mon | Oct 21 | 14:30 | Xinyu Zhou | Multivalued functions, and abstract derivations and connections | |

Mon | Oct 07 | 14:30 | Kenz Kallal | Second order differential equations and projective connections | |

Mon | Sep 30 | 14:30 | Kenta Suzuki | Relationship to PDEs and $n$th order differential equations | |

Mon | Sep 23 | 14:30 | Atticus Wang | Integrable connections | |

Mon | Sep 16 | 14:30 | Xinyu Fang | Local systems, fundamental groupoid, definition of connection | |

Mon | Sep 09 | 14:30 | Elia Gorokhovsky | Complex analytic spaces, vector bundles, and GAGA | |

Thu | May 09 | 20:00 | Hao Peng | Applications of the large sieve to thin sets | |

Thu | May 02 | 20:00 | Jane Shi | Construction of elliptic curves of large rank | |

Thu | Apr 25 | 20:00 | Daniel Larsen | The large sieve | |

Thu | Apr 18 | 20:00 | Vijay Srinivasan | Construction of Galois extensions | |

Thu | Apr 11 | 20:00 | Daniel Hu | The Hilbert irreducibility theorem | |

Thu | Apr 04 | 20:00 | Shiva Chidambaram | Baker's method | |

Thu | Mar 21 | 20:00 | Bjorn Poonen | Siegel's method | |

Thu | Mar 07 | 21:00 | Frank Lu | The Demyanenko-Manin method and Mumford's inequality | |

Thu | Feb 29 | 21:00 | Niven T. Achenjang | The Mordell-Weil theorem and Chabauty's theorem | |

Thu | Feb 22 | 21:00 | Xinyu Zhou | Normalized heights | |

Thu | Feb 08 | 21:00 | Raymond van Bommel | Height functions | |

Thu | Dec 07 | 21:00 | Barinder Banwait | Points of order 13 | |

Thu | Nov 30 | 21:00 | Daishi Kiyohara | The Eisenstein quotient | |

Thu | Nov 16 | 21:00 | Kenta Suzuki | Criterion for the nonexistence of rational $p$-torsion | |

Thu | Nov 09 | 21:00 | Hari Iyer | Galois representations and modular forms | |

Thu | Nov 02 | 20:00 | Niven Achenjang | Integral models of modular curves | |

Thu | Oct 26 | 20:00 | Eunsu Hur | Modular forms and Hecke operators | |

Thu | Oct 19 | 20:00 | Mikayel Mkrtchyan | Jacobians | |

Thu | Oct 12 | 20:00 | Daniel Hu | Relative Picard functor | |

Thu | Oct 05 | 20:00 | Frank Lu | Néron models | |

Thu | Sep 28 | 20:00 | Sam Schiavone | Elliptic curves over a local field | |

Thu | Sep 21 | 20:00 | Alice Lin | Group schemes | |

Thu | Sep 14 | 20:00 | Zhao Yu Ma | Abelian varieties | |

Thu | Sep 07 | 20:00 | Vijay Srinivasan | Overview of the proof | |

Mon | May 15 | 20:30 | Aaron Landesman | Canonical models of Shimura varieties | |

Mon | May 08 | 20:30 | Niven Achenjang | Complex Multiplication, Shimura-Taniyama formula | |

Mon | May 01 | 20:30 | Dylan Pentland | Classification of Shimura varieties | |

Mon | Apr 24 | 20:30 | Eunsu Hur | Shimura data and Shimura varieties | |

Mon | Apr 10 | 20:30 | Anne Larsen | Hermitian symmetric domains and locally symmetric varieties | |

Mon | Apr 03 | 20:30 | Gefei Dang | Hodge structures and variations | |

Mon | Mar 20 | 20:30 | Kush Singhal | Review of reductive algebraic groups | |

Mon | Mar 13 | 20:30 | Zifan Wang | Moduli space of abelian varieties II | |

Mon | Mar 06 | 21:30 | Hao Peng | Moduli space of abelian varieties I | |

Mon | Feb 27 | 21:00 | Meng Yan | Quotients of the Siegel upper half space | |

Mon | Feb 13 | 21:00 | Kenta Suzuki | Complex tori and abelian varieties | |

Tue | Dec 13 | 16:00 | Xinyu Zhou | The étale-Brauer obstruction and insufficiency of the obstructions | |

Tue | Dec 06 | 16:00 | Niven Achenjang | The descent obstruction | |

Tue | Nov 29 | 16:00 | Kush Singhal | An example of descent | |

Tue | Nov 22 | 16:00 | Daishi Kiyohara | Unramified torsors | |

Tue | Nov 15 | 16:00 | Alice Lin | Torsors over a scheme | |

Tue | Nov 08 | 16:00 | Thomas Rüd | Torsors over finite fields, local fields, and global fields | |

Tue | Nov 01 | 15:00 | Anne Larsen | Torsors of algebraic groups over a field | |

Tue | Oct 25 | 15:00 | Aashraya Jha | The Brauer-Manin obstruction for conic bundles | |

Tue | Oct 18 | 15:00 | Vijay Srinivasan | The Brauer-Manin obstruction | |

Tue | Oct 11 | 15:00 | Weixiao Lu | Residue homomorphisms and examples of Brauer groups | |

Tue | Oct 04 | 15:00 | Haoshuo Fu | The Hochschild-Serre spectral sequence | |

Tue | Sep 27 | 15:00 | Hao Peng | Brauer groups of schemes | |

Tue | Sep 20 | 15:00 | Kenta Suzuki | Review of étale cohomology | |

Tue | Sep 13 | 15:00 | Sam Schiavone | Brauer groups of fields | |

Wed | May 18 | 14:00 | Hyuk Jun Kweon | Proof of the amplification principle 2 | |

Wed | May 11 | 14:00 | Raymond van Bommel | Proof of the amplification principle 1 | |

Wed | May 04 | 14:00 | Anlong Chua | Unlikely intersection theory and the Ax-Schanuel theorem | |

Wed | Apr 27 | 14:00 | Fei Hu | Uniformity for rational points | |

Wed | Apr 20 | 14:00 | Aashraya Jha | Proof of the new gap principle 2 | |

Wed | Apr 13 | 14:00 | Niven Achenjang | Proof of the new gap principle 1 | |

Wed | Apr 06 | 14:00 | Alice Lin | Height bounds for nondegenerate varieties | |

Wed | Mar 30 | 14:00 | Xinyu Zhou | Intersection theory and height inequality 2 | |

Wed | Mar 16 | 14:00 | Cong Wen | Intersection theory and height inequality 1 | |

Wed | Mar 02 | 15:00 | Tony Feng | Uniform Mordell: review and preview 2 | |

Wed | Feb 23 | 15:00 | Tony Feng | Uniform Mordell: review and preview 1 | |

Wed | Dec 15 | 15:00 | Aashraya Jha | The height inequality and applications | |

Wed | Dec 08 | 15:00 | Yujie Xu | Betti map and Betti form II | |

Wed | Dec 01 | 16:00 | Yujie Xu | Betti map and Betti form I | |

Wed | Nov 17 | 16:00 | Ryan Chen | Moduli spaces of curves and abelian varieties | |

Wed | Nov 10 | 16:00 | Weixiao Lu | Algebraization of complex tori | |

Wed | Nov 03 | 15:00 | Vijay Srinivasan | Line bundles on complex tori | |

Wed | Oct 27 | 14:00 | Niven Achenjang | Vojta's approach to the Mordell conjecture II | |

Wed | Oct 20 | 15:00 | Niven Achenjang | Vojta's approach to the Mordell conjecture I | |

Wed | Oct 13 | 15:00 | Alice Lin | Comparison of Weil height and canonical height | |

Wed | Oct 06 | 15:00 | Katia Bogdanova | Height machine | |

Wed | Sep 29 | 14:00 | Nathan Chen | Big and nef line bundles | |

Wed | Sep 22 | 15:00 | Angus McAndrew | Intersection theory with divisors | |

Fri | May 21 | 17:00 | Shizhang Li | The étale comparison theorem | |

Fri | May 14 | 17:00 | Zhiyu Zhang | Perfections in mixed characteristic | |

Fri | May 07 | 17:00 | Zijian Yao | Extension to the singular case via derived prismatic cohomology | |

Fri | Apr 30 | 17:00 | Tony Feng | $q$-crystalline cohomology | |

Fri | Apr 23 | 17:00 | Danielle Wang | The $q$-de Rham complex | |

Fri | Apr 16 | 17:00 | Avi Zeff | The Hodge-Tate and crystalline comparison theorems | |

Fri | Apr 09 | 17:00 | Konrad Zou | The prismatic site | |

Fri | Apr 02 | 17:00 | Sanath Devalapurkar | Perfect prisms and perfectoid rings | |

Fri | Mar 26 | 17:00 | Samuel Marks | Distinguished elements and prisms | |

Fri | Mar 19 | 17:00 | Tobias Shin | Derived categories for the working graduate student | |

Fri | Mar 12 | 18:00 | Mikayel Mkrtchyan | Delta rings | |

Fri | Mar 05 | 18:00 | James Myer | Introduction to prismatic cohomology | |

Fri | Feb 26 | 18:00 | Naomi Sweeting | Crystalline cohomology | |

Fri | Feb 19 | 18:00 | Ishan Levy | The infinitesimal site and algebraic de Rham cohomology | |

Mon | Dec 14 | 20:00 | Daniel Kriz | Dwork's $p$-adic proof of rationality, continued | |

Mon | Dec 07 | 20:00 | Daniel Kriz | Dwork's $p$-adic proof of rationality | |

Mon | Nov 30 | 20:00 | Raymond van Bommel | The Bombieri-Stepanov approach to the Riemann hypothesis for curves over finite fields | |

Mon | Nov 16 | 20:00 | Zhiyu Zhang | Vanishing cycles and deformation to hypersurfaces | |

Mon | Nov 09 | 20:00 | Alexander Petrov | Weights and monodromy | |

Mon | Nov 02 | 20:00 | Hyuk Jun Kweon | Alterations | |

Mon | Oct 26 | 19:00 | Ziquan Yang | The Riemann hypothesis for hypersurfaces | |

Mon | Oct 19 | 19:00 | Francesc Fité | Deligne's version of the Rankin method | |

Mon | Oct 12 | 19:00 | Sanath Devalapurkar | Étale fundamental groups | |

Mon | Oct 05 | 19:00 | David Roe | Constructible sheaves | |

Mon | Sep 28 | 19:00 | Samuel Marks | Rationality and functional equation of the zeta function | |

Mon | Sep 21 | 19:00 | Matthew Hase-Liu | Introduction to étale cohomology | |

Mon | Sep 14 | 19:00 | Niven Achenjang | Smooth and étale morphisms | |

Mon | Sep 07 | 19:00 | Danielle Wang | Statements of the Weil conjectures, proof for curves via the Hodge index theorem | |

Wed | May 13 | 14:00 | Daniel Kriz | Construction of Katz $p$-adic $L$-functions | |

Wed | May 06 | 14:00 | Zijian Yao | CM Hilbert-Blumenthal abelian varieties | |

Wed | Apr 29 | 14:00 | Ziquan Yang | $p$-adic Eisenstein series | |

Wed | Apr 22 | 14:00 | Tony Feng | Differential operators on modular forms | |

Wed | Apr 15 | 14:00 | Alexander Petrov | $p$-adic modular forms on Hilbert modular varieties | |

Wed | Apr 08 | 14:00 | Si Ying Lee | Modular forms on Hilbert modular varieties | |