Talks
Please e-mail me to learn more about talks where I did not use slides.
| Title | Dates | Venue | Paper | Description | |
|---|---|---|---|---|---|
| LMFDB: Past, Present and Future | Jun 29, 2026 | Bridging Lean and the LMFDB | Talk on the history and future plans of the LMFDB | ||
| PDFVideo | Building mathematical databases | Jun 24, 2026 | Machine Computation in Homotopy Theory | Talk on lessons learned from the LMFDB for those interested in creating mathematical databases | |
| Video | Malle's conjecture in the LMFDB | Jun 9, 2026 | Number Field Counting in the LMFDB | Live demonstration of number fields in the LMFDB and improvements hoped for from the workshop | |
| p-adic fields in the LMFDB | Nov 7, 2025 | Bayou Arithmetic Research Day 6 | arXiv | Talk on the database of p-adic fields in the LMFDB | |
| The L-functions and Modular Forms DataBase | Sep 15, 2025 | code4math Grand Opening Symposium | Introduction to the LMFDB | ||
| PDFVideo | Incubating Mathematical Databases | Jul 7, 2025 | Lucant 2025 | Talk on MathBases and a proposed library of Diophantine equations | |
| Hypergeometric L-functions in average polynomial time | Jan 9, 2025 | JMM 2025 | arXiv | See also Edgar's talk from ANTS and Kiran's talk in New Zealand | |
| How to Win the Lottery | July 1, 2024 | MathRoots | Talk on Cash Winfall, the lottery game that was actually profitable to play | ||
| PDFVideo | Finite groups and K3 surfaces in the LMFDB | Jun 25, 2024 | Computational Geometry | Talk on finite groups and K3 surfaces in the LMFDB | |
| Modular curves in the LMFDB | Sep 21, 2023 | Modular curves and Galois representations | Talk on modular curves in the LMFDB | ||
| PDFVideo | Modular curves and Finite Groups: Building Connections via Computation | Mar 2, 2023 | COUNT | Talk on modular curves and finite groups in the LMFDB | |
| PDFVideo | Modular curves and Finite Groups: Building Connections via Computation | Jan 11, 2023 | 2023 Simons collaboration annual meeting | Talk on modular curves and finite groups in the LMFDB | |
| The L-functions and modular forms database | May 22, 2022 | Big Data in Pure Mathematics | Introduction to the LMFDB | ||
| p-adic precision | May 7, 2021 | Simons collaboration monthly meeting | arXiv | Different approaches to p-adic precision, including lattice and lazy methods. | |
| Algebraic structures in Sage | February 15, 2021 | Sage-Oscar Days | Introduction to Sage, with a view toward finite fields | ||
| PDFVideo | A database of p-adic tori | March 18, 2020 | MIT Lie groups seminar | Talk on database of tori | |
| A database of p-adic tori | November 21, 2019 | University of British Columbia number theory seminar | Talk on database of tori | ||
| The inverse Galois problem for p-adic fields | September 10, 2019 | University of Bordeaux number theory seminar | arXiv | ||
| A database of p-adic tori | September 2, 2019 | p-Adic Langlands Correspondence Conference | Talk on database of tori | ||
| The inverse Galois problem for p-adic fields | August 30, 2019 | University of Utrecht number theory seminar | arXiv | ||
| A database of p-adic tori | June 8, 2019 | 2019 CMS Summer Meetings | Talk on database of tori | ||
| A database of abelian varieties | June 6, 2019 | Arithmetic of Low-Dimensional Abelian Varieties | Lightning talk on database of abelian varieties | ||
| The inverse Galois problem for p-adic fields | July 17, 2018 | ANTS 13 | arXiv | ||
| Using lattices to track p-adic precision | February 20, 2018 | Numerical Methods for Algebraic Curves | arXiv | Lattice-based precision for p-adic computation. | |
| Computing with higher genus curves, abelian varieties and K3 surfaces | December 7, 2017 | Pitt algebra seminar | Introduction to goals of the Simons Collaboration | ||
| The inverse Galois problem for p-adic fields | November 13, 2017 | BU number theory seminar | arXiv | ||
| How to Win the Lottery | September 14, 2017 | Reed Colloquium | Talk on Cash Winfall, the lottery game that was actually profitable to play | ||
| An introduction to p-adics in Sage | August 22, 2017 | Sage Days 88 | |||
| p-adics in Sage | July 17, 2017 | Sage Days 87 | Introduction to Sage and p-adics. | ||
| Makdisi's algorithm for Jacobians of p-adic curves | June 5, 2017 | Sage Days 86.5 | Application of p-adic precision to computing with divisors | ||
| Computing with Modular Forms | May 22-26, 2017 | UNCG Summer School | Summer school on computational modular forms; I'm speaking on overconvergent modular symbols | ||
| Modular Forms and Modular Symbols in Sage | February 8, 2017 | CLap-CLap | Introduction to using Sage for computations of modular forms | ||
| Commutative Character Sheaves | December 2, 2016 | American University | arXiv | Talk on the new function-sheaf dictionary paper. | |
| The Inverse Galois Problem for p-adic Fields | September 29, 2016 | University of Calgary Colloquium | arXiv | Talk on algebraic tori database project | |
| Algebraic Tori and a Computational Inverse Galois Problem | September 17, 2016 | PANTS XXVI | arXiv | Talk on algebraic tori database project | |
| Overcongergent Modular Symbols in Sage | March 20, 2016 | Sage Days 71 | Introduction to Overconvergent Modular Symbols in Sage | ||
| Elliptic Curves, Triangles and L-functions | March 11, 2016 | Tufts University Colloquium | Colloquium on ranks of elliptic curves, the congruent number problem and the Birch and Swinnerton-Dyer conjecture | ||
| Algebraic Tori and a Computational Inverse Galois Problem | January 26, 2016 | University of Pittsburgh | arXiv | Talk on algebraic tori database project | |
| Overconvergent Modular Symbols in Sage | September 30, 2015 | RIMS Workshop on Computer Algebra Systems | Talk on Sage and Overconvergent Modular Symbols | ||
| Positive slope pieces of the eigencurve via interpolation | July 30, 2015 | Computational Representation Theory in Number Theory | Talk on joint work with Ander Steele | ||
| Positive slope pieces of the eigencurve via interpolation | May 28, 2015 | Explicit Methods for Abelian Varieties | Talk on joint work with Ander Steele | ||
| A function-sheaf dictionary for tori over local fields | June 17, 2014 | CNTA XIII | arXiv | Talk on my function-sheaf dictionary paper | |
| A function-sheaf dictionary for tori over local fields | May 24, 2014 | FRG on periods of automorphic forms and applications to L-functions | arXiv | Half-hour talk on my function-sheaf dictionary paper | |
| Numerical Methods in p-adic Linear Algebra | February 3, 2014 | Lethbridge Number Theory and Combinatorics Seminar | arXiv | ||
| A function-sheaf dictionary for tori over local fields | January 15, 2014 | Joint Mathematics Meetings 2014 | arXiv | Shorter talk on my work with Clifton | |
| Quasicharacter Sheaves for Tori | December 5, 2013 | QVNTS | arXiv | Updated talk on my work with Clifton | |
| An introduction to the local Langlands correspondence | December 2013 | UQAM combinatorics seminar | |||
| Plans for p-adics in Sage | September 5, 2013 | Sage Days 52 | |||
| Geometrizing Characters of Tori | June 24, 2013 | PRIMA 2013 | arXiv | Updated talk on my work with Clifton | |
| Geometrizing Characters of Tori | May 12, 2013 | Alberta Number Theory Days 2013 | arXiv | Updated talk on my work with Clifton | |
| Geometrizing Quasi-characters of Tori | January 28, 2013 | UCSC Number Theory Seminar | arXiv | Hour talk on my work with Clifton - some material has since been corrected | |
| Geometrizing Quasi-characters of Tori | January 10, 2013 | Joint Mathematics Meetings 2013 | arXiv | 20 minute talk on my work with Clifton | |
| The ABC Conjecture | November 16, 2012 | University of Calgary Colloquium | Sketch of Mochizuki's work | ||
| Introduction to Sage | October 16, 2012 | University of Calgary - PMAT 621 | Most of the talk was this Sage notebook. | ||
| The Local Langlands Correspondence and Character Sheaves | May 19, 2012 | Pacific Northwest Number Theory Conference 2012 | Similar to UW Number theory talk | ||
| The Local Langlands Correspondence and Character Sheaves | May 17, 2012 | University of Washington Number Theory Seminar | Improved version of talk from Utah | ||
| The Local Langlands Correspondence and Character Sheaves | April 26, 2012 | University of Utah number theory seminar | Thesis talk with a bit added on my work with Clifton | ||
| Precision Models for Arithmetic in Local Fields | March 1, 2012 | UBC number theory seminar | arXiv | An improved version of my talk from Lyon in June | |
| The State of p-Adics in Sage | February 19, 2012 | Sage Days 36 | |||
| Coercions and Categories in Sage | January 26, 2012 | UW Sage Seminar | Sage notebook of this talk available here | ||
| The Local Langlands Correspondence for Tamely Ramified Groups | December 8, 2011 | PIMS Number Theory Seminar | Thesis talk, extended to a 2 hour format | ||
| Zeta Functions with p-Adic Cohomology | June 24, 2011 | Geocrypt 2011 | arXiv | A modified version of the talk I gave at CRM in April 2010 | |
| Precision Models for Arithmetic in Local Fields | June 6, 2011 | Théorie de Hodge p-adique, équations différentielles p-adiques et leurs applications | arXiv | Talk on my work with Xavier Caruso | |
| The Local Langlands Correspondence for Tamely Ramified Groups | February 9, 2011 | Harvard number theory seminar | Thesis talk, modified notes from my October 2010 talk. | ||
| The Local Langlands Correspondence for Tamely Ramified Groups | January 20, 2011 | University of Calgary number theory seminar | Thesis talk, similar notes to my October 2010 talk. | ||
| The Local Langlands Correspondence for Tamely Ramified Groups | December 1, 2010 | Universite Rennes Cryptography Seminar | Thesis talk, similar notes to my October 2010 talk. | ||
| The Local Langlands Correspondence for Tamely Ramified Groups | October 2010 | CCR West | |||
| The Local Langlands Correspondence for Tamely Ramified Groups | October 2, 2010 | Quebec-Maine Number Theory 2010 | An overview of the Langlands correspondence for GL_n and an outline of my thesis work. | ||
| Zeta Functions with p-adic cohomology | April 20, 2010 | Counting Points: Theory, Algorithms and Practice | arXiv | A presentation of the algorithm in my paper with Kiran and Tim. | |
| Bruhat-Tits Theory | April 2, 9, 16, 2010 | Alcove Seminar | An overview of the Bruhat-Tits building. | ||
| Coxeter Groups and 4-dimensional Polytopes | February 25, 2010 | Trivial Notions | Coxeter groups and classification of polytopes, together with Zome models of polyhedra and the 120-cell. | ||
| Berkovich Spaces | April 29, 2009 | Alcove Seminar | An overview of Berkovich spaces. | ||
| Weil Conjectures | February 26, 2009 | Trivial Notions | Weil conjectures and Weil cohomology theories for non-number theorists. | ||
| Laplace to Langlands | Sept 25, Sept 30, Oct 2, 2008 | Alcove Seminar | A presentation on Gross's paper From Laplace to Langlands via representations of orthogonal groups. | ||
| Embeddings of PSL_2(F_p) into semisimple linear algebraic groups | May 19, 2008 | STAGE | A presentation of the results in Serre's Exemples de plongements des groupes PSL_2(F_p) dans des groupes de Lie simples, Inventiones mathematicae, 1996. | ||
| A Bound for the number of automorphisms of an arithmetic Riemann surface | April 10, 2008 | Trivial Notions | Based on the Arizona Winter School talk. | ||
| A Bound for the number of automorphisms of an arithmetic Riemann surface | April 1, 2008 | UW Number Theory Seminar | Based on the Arizona Winter School talk. | ||
| A Bound for the number of automorphisms of an arithmetic Riemann surface | March 19, 2008 | Arizona Winter School | Joint work with Linda Gruendken, Guillermo Mantilla, Dermot McCarthy, Kate Stange, Ying Zong, Maryna Viazovska. Based on Belolipetsky and Jones' paper of the same name. | ||
| Representations de GL_2(Q_p) et (phi, Gamma)-modules | February 20, 27, March 5, 2008 | Taylor's Seminar | Talks on Colmez's paper of the same name. Joint talks with Ana Caraiani. List of results and index of notation: PDF. | ||
| Eigenvarieties | December 10, 2007 | STAGE | A review based on Kevin Buzzard's lecture notes from the Eigenvarieties semester, which can be found here. | ||
| p-Adic arithmetic in SAGE | September 30, 2007 | Sage Days 5 | Future directions for p-adic support in Sage. | ||
| p-Adics in SAGE | June 14, 2007 | Sage Days 4 | Implementation notes for p-adics in Sage. | ||
| Algorithms for p-adic polynomials and matrices | April 9, 2007 | STAGE | A discussion of some work of mine on algorithms for computing determinants and characteristic polynomials of p-adic matrices. I haven't written this material up yet. | ||
| Sums of Squares Formulas | March 8, 2007 | Trivial Notions | Overview of the results in this paper of Dugger and Isaksen. | ||
| Vanishing cycles in the analytic case | December 11, 2006 | Weil II seminar | Vanishing cycles and perverse sheaves as used in Deligne's proof of the Weil conjectures. | ||
| The eigencurve near the boundary of weight space for p=2 and p=3 | November 13, 2006 | STAGE | arXiv | Presentation of a paper of Buzzard's and a followup paper of mine |