PDF 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 PDF How to Win the Lottery July 1, 2024 MathRoots Talk on Cash Winfall, the lottery game that was actually profitable to play PDF Finite groups and K3 surfaces in the LMFDB Jun 25, 2024 Computational Geometry Talk on finite groups and K3 surfaces in the LMFDB PDF Modular curves in the LMFDB Sep 21, 2023 Modular curves and Galois representations Talk on modular curves in the LMFDB PDF Modular curves and Finite Groups: Building Connections via Computation Mar 2, 2023 COUNT Talk on modular curves and finite groups in the LMFDB PDF 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 PDF The L-functions and modular forms database May 22, 2022 Big Data in Pure Mathematics Introduction to the LMFDB PDF p-adic precision May 7, 2021 Simons collaboration monthly meeting arXiv Different approaches to p-adic precision, including lattice and lazy methods. PDF Algebraic structures in Sage February 15, 2021 Sage-Oscar Days Introduction to Sage, with a view toward finite fields PDF A database of p-adic tori March 18, 2020 MIT Lie groups seminar Talk on database of tori PDF A database of p-adic tori November 21, 2019 University of British Columbia number theory seminar Talk on database of tori PDF The inverse Galois problem for p-adic fields September 10, 2019 University of Bordeaux number theory seminar arXiv PDF A database of p-adic tori September 2, 2019 p-Adic Langlands Correspondence Conference Talk on database of tori PDF The inverse Galois problem for p-adic fields August 30, 2019 University of Utrecht number theory seminar arXiv PDF 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 PDF The inverse Galois problem for p-adic fields July 17, 2018 ANTS 13 arXiv PDF 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 PDF 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 PDF 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 PDF Algebraic Tori and a Computational Inverse Galois Problem January 26, 2016 University of Pittsburgh arXiv Talk on algebraic tori database project PDF 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 PDF A function-sheaf dictionary for tori over local fields June 17, 2014 CNTA XIII arXiv Talk on my function-sheaf dictionary paper PDF 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 PDF Numerical Methods in p-adic Linear Algebra February 3, 2014 Lethbridge Number Theory and Combinatorics Seminar arXiv PDF A function-sheaf dictionary for tori over local fields January 15, 2014 Joint Mathematics Meetings 2014 arXiv Shorter talk on my work with Clifton PDF Quasicharacter Sheaves for Tori December 5, 2013 QVNTS arXiv Updated talk on my work with Clifton PDF Plans for p-adics in Sage September 5, 2013 Sage Days 52 PDF Geometrizing Characters of Tori June 24, 2013 PRIMA 2013 arXiv Updated talk on my work with Clifton PDF Geometrizing Characters of Tori May 12, 2013 Alberta Number Theory Days 2013 arXiv Updated talk on my work with Clifton PDF 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 PDF Geometrizing Quasi-characters of Tori January 10, 2013 Joint Mathematics Meetings 2013 arXiv 20 minute talk on my work with Clifton PDF The ABC Conjecture November 16, 2012 University of Calgary Colloquium Sketch of Mochizuki's work PDF Introduction to Sage October 16, 2012 University of Calgary - PMAT 621 Most of the talk was this Sage notebook. PDF The Local Langlands Correspondence and Character Sheaves May 19, 2012 Pacific Northwest Number Theory Conference 2012 PDF Similar to UW Number theory talk PDF The Local Langlands Correspondence and Character Sheaves May 17, 2012 University of Washington Number Theory Seminar PDF Improved version of talk from Utah PDF The Local Langlands Correspondence and Character Sheaves April 26, 2012 University of Utah number theory seminar PDF Thesis talk with a bit added on my work with Clifton PDF 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 PDF The Local Langlands Correspondence for Tamely Ramified Groups December 8, 2011 PIMS Number Theory Seminar PDF Thesis talk, extended to a 2 hour format PDF 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 PDF 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 PDF The Local Langlands Correspondence for Tamely Ramified Groups February 9, 2011 Harvard number theory seminar PDF 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 PDF Thesis talk, similar notes to my October 2010 talk. The Local Langlands Correspondence for Tamely Ramified Groups December 1, 2010 Universite Rennes Cryptography Seminar PDF Thesis talk, similar notes to my October 2010 talk. PDF The Local Langlands Correspondence for Tamely Ramified Groups October 2, 2010 Quebec-Maine Number Theory 2010 PDF An overview of the Langlands correspondence for GL_n and an outline of my thesis work. PDF 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. PDF 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. PDF 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. PDF 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. PDF p-Adic arithmetic in SAGE September 30, 2007 Sage Days 5 Future directions for p-adic support in Sage. PDF 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