Talks

Fall 2026, FAVORITE Conference, Porquerolles — TBD.
Spring 2026, SAGA² Conference, University of French Polynesia — The Jacobi Bound Conjecture and the Dimension Conjecture.
Spring 2026, GAATI Séminaire, University of French Polynesia — The Dimension Conjecture Implies The Jacobi Bound Conjecture.
Spring 2026, GAATI Séminaire — The Jacobi Bound Conjecture.
Fall 2025, GAATI Séminaire — What the Hecke?
Summer 2025, René 25 Conference (in honor of René Schoof), University of French Polynesia — Clifford-Bianchi Groups and Arithmetic Hyperbolic Manifolds Beyond Dimension Three.
Spring 2025, Kolchin Seminar — Intersection Theory for Differential Equations (An Introduction To The Jacobi Bound Conjecture) ( video )
Spring 2025, George Mason University Colloquium — The Arithmetic of Möbius Transformations in Dimensions 4 and Beyond.
Spring 2025, Auburn University Colloquium — The Arithmetic of Möbius Transformations in Dimensions 4 and Beyond.
Spring 2024, Wesleyan Algebra and Number Theory Seminar — The Arithmetic of Möbius Transformations in Dimensions 4 and Beyond.
Spring 2024, Inter-Universal Geometry Conference (IUGC), Tokyo — Interpretations and Anabelian Geometry (slides, ).

Spring 2024, Clemson — The Arithmetic of Möbius Transformations in Dimensions 4 and Beyond.

Spring 2024, Dartmouth–UVM Math Day, Dartmouth — Some of my Favorite Orders in Clifford Algebras.

Summer 2023, Young Scholar's Program, UIC — An Introduction to the p-Adic Numbers.

Spring 2023, Berkeley Model Theory Seminar — The Theory of the Integers in C[t]^alg Interprets Z.

Fall 2022, Carleton University Algebra and Number Theory Seminar — Angle Ranks of Abelian Varieties over Finite Fields.

Fall 2022, TIMC Colloquium — Some Computational Facts About Abelian Varieties for Nonspecialists.

Summer 2022, Algebra Seminar, Emory — Algebraic Relations Between Solutions of Order One Differential Equations on Curves.

Summer 2022, Young Scholar's Program, UIC — What Are the p-Adic Numbers?

Spring 2022, Lunch in the Time of COVID (online) — Red Card to Green Light: How to be a Responsible Referee (panel).

Fall 2021, Geometry Seminar, University of New Mexico — Abelian Varieties in the LMFDB.

Fall 2021, 3rd Kyoto-Hefei Workshop on Arithmetic Geometry, Kyoto University — Angle Ranks of Abelian Varieties over Finite Fields.

Spring 2021, Algebra and Number Theory Seminar, Dartmouth College — What is this? Have you seen this thing?

Spring 2020, AMS Special Session on Branching Out — New and Old Results in Wittferential Algebraic Geometry (slides).
Fall 2020, Stanford Algebraic Geometry Seminar — Abelian Varieties over Finite Fields in the LMFDB.
Fall 2020, Leiden Algebra, Geometry and Number Theory Seminar — The Meaning of Mochizuki's Inequality.
Fall 2020, Africa Math Seminar — Sphere Packings in Hyperbolic Space.
Spring 2020, University of Ottawa Number Theory Seminar — cancelled due to COVID.
Spring 2020, Dartmouth College — Isogeny Classes of Abelian Varieties in the LMFDB.
Fall 2019, University of Arizona — How to Work with Mochizuki's Inequality.
Fall 2019, Arizona State University — Isogeny Classes of Abelian Varieties over Finite Fields.
Fall 2019, AIM, LMFDB as a Telescope — A Guide of Isogeny Classes in the LMFDB.
Spring 2019, Barrett Lectures, University of Tennessee Knoxville — A User's Guide to Mochizuki's Inequality.
Spring 2019, Rice AGNT Seminar — Explicit Computations in IUT.
Spring 2019, ICERM Abelian Varieties Workshop — Deligne Modules.
Fall 2018, Tufts Algebra Seminar — The Wittfinitesimal Torelli Problem.
Fall 2018, unQVNTS (three talks) — Mochizuki's Inequalities.
Spring 2018, UConn CTNT Summer School — Mochizuki's Inequalities.
Fall 2017, UVM unQVNTS — Abelian Varieties over Finite Fields.
Fall 2017, Boston College Number Theory Seminar — Deligne-Illusie Classes as Arithmetic Kodaira-Spencer Classes.
Fall 2017, University of Virginia Number Theory Seminar — The Theory of C[t]^alg Interprets Z.
Spring 2017, QVNTS — The Wittfinitesimal Torelli Problem.
Spring 2017, CUNY, AMS Eastern Sectional — Deforming Derivatives.
Spring 2017, Harvard Number Theory Seminar — The Theory of C[t]^alg Interprets Z.
Spring 2017, Purdue Automorphic Forms Seminar — Indeterminacies in IUT.
Spring 2017, University of Rochester Number Theory Seminar — The Wittfinitesimal Torelli Problem.
Fall 2016, DART7 — Arithmetic Kodaira-Spencer Classes in the Sense of Buium.
Summer 2016, IUT Summit, RIMS Kyoto — Introduction to IUT2: Multiradiality.
Spring 2016, University of Copenhagen Number Theory Seminar — Some Constructions Used in Mochizuki's IUT.
Spring 2016, Emory Nonarchimedean Geometry Seminar — Buiumisms.
Spring 2016, Emory Algebra Seminar — Kolchin Irreducibility.
Spring 2016, Kolchin Seminar Workshop — Effective Bounds for Manin-Mumford for Certain Bad Reduction Curves (with E. Katz, J. Rabinoff, D. Zureick-Brown).
Spring 2016, Bristol Linfoot Seminar — Toward Mazur's Conjecture on Uniform Manin-Mumford.
Fall 2015, Maine-Quebec Number Theory Seminar — Examples of Varieties of General Type over Function Fields whose Rational Points Are Not Dense (with D. Litt) (vlog post).
Spring 2015, Ben Gurion University AGNT Seminar — Examples of Lang-Bombieri-Noguchi outside of Mordell-Lang (with D. Litt).
Spring 2015, Ben Gurion University Set Theory and Logic Seminar — Strongly Minimal Sets in DCF₀ (with J. Freitag).
Spring 2015, Toulouse — Examples of Geometric Lang-Bombieri-Noguchi outside Mordell-Lang (with D. Litt).
Spring 2015, JMM Model Theory Special Session — Derived Categories Meets Differential Algebra (with J. Freitag, A. Royer).
Fall 2014, Hebrew University Model Theory — Wittfinitesimal Torelli and Coleman's Conjecture (3 parts).
Fall 2014, West Coast Number Theory — Lifts of the Frobenius.
Fall 2014, Quebec-Maine Number Theory Seminar — Kolchin Irreducibility (with J. Freitag, L. E. Miller).
Summer 2014, CNTA — Lifts of the Frobenius.
Spring 2014, Kolchin Seminar — Jet Spaces and Diophantine Geometry (YouTube).
Spring 2014, AMS Central Sectional, Differential Galois Theory — Arithmetic Picard-Vessiot Theory (with A. Buium).
Spring 2014, AMS Western Sectional — Kolchin Irreducibility for Arithmetic Jet Spaces (with J. Freitag, L. E. Miller).
Spring 2014, Berkeley Model Theory Seminar — Kolchin Irreducibility for p-Jets (with J. Freitag, L. E. Miller).
Fall 2013, West Coast Number Theory Seminar — Distribution of Bits of 3^n (with D. Weirich).
Fall 2013, UCSD Number Theory Seminar — "Linear" Constructions with Nonlinear Fermat Quotient Operators.
Fall 2013, IRMA Strasbourg — Arithmetic Kodaira-Spencer Classes.
Fall 2013, UCLA Number Theory Seminar — Arithmetic Kodaira-Spencer Classes and Absolute Geometry.
Spring 2013, UC Berkeley — "Linear" Arithmetic Differential Equations (with A. Buium).
Spring 2013, AMS Sectional Meeting, Boulder — Arithmetic Picard-Vessiot Theory (with A. Buium).
Spring 2013, UNM Geometry Seminar — Automorphisms of the Affine Line over Nonreduced Rings.
Spring 2013, JMM Witt Vectors Special Session — A Torsor of Lifts of the Frobenius.
Fall 2012, Texas Tech Geometry Seminar — Introduction to p-Derivations and the Torsor of Lifts of the Frobenius.
Fall 2012, UNM Geometry Seminar — Deformations of Principal Homogeneous Spaces.
Summer 2012, Witt Vectors Conference, Albuquerque — Arithmetic Deformation Classes Associated to Curves.
Spring 2012, UNM Geometry Seminar — Arithmetic Deformation Theory.
Spring 2012, UNM Geometry Seminar — The Field With One Element.
Fall 2012, UNM Geometry Seminar — Deninger Cohomology Theories.
Fall 2011, UNM Geometry Seminar — Lifts of the Frobenius.
Summer 2012, IMUS, Harmonic Analysis, Metric Spaces and PDEs — p-adic and Dyadic Analysis.
Spring 2011, UNM Geometry Seminar — Interactions Between Group Cohomology and Čech Cohomology.
Fall 2010, Comprehensive Exam — Arithmetic Deformation Theory.
Fall 2010, UNM Math & Physics Student Seminar — Coalgebras.
Spring 2010, UNM Math & Physics Student Seminar — Computation and Hilbert's 6th Problem.
Spring 2009, UNM Graduate Student Seminar — Generalizing Kuratowski's Theorem to Higher Dimensions.
2007, University of Arizona Graduate Student Colloquium — Angel-Devil Problem.