## [ talks ]

Spring 2024, Inter-Universal Geometry Conference (IUGC), Tokyo | Interpretations and Anabelian Geometry (slides ) |

Spring 2024, Clemson | TBD |

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 CC[t]^alg Interprets ZZ |

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, University of Illinois Chicago | 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, The 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: Ramification Invariants in Algebra and Geometry | 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, University of Tennesse Knoxville, Barrett Lectures | 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, University of Vermont,
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 CC[t]^{alg} Interprets ZZ |

Spring 2017, QVNTS |
The Wittfinitesimal Torelli
Problem |

Spring 2017, CUNY, AMS Eastern
Sectional Meeting |
Deforming Derivatives |

Spring 2017, Harvard, Number
Theory Seminar |
The Theory of CC[t]^{alg}
Interprets ZZ |

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.
Multiiradiality. |

Spring 2016, University of
Copenhagen, Number Theory Seminar |
Some Constructions Used in
Mochizuki's IUT |

Spring 2016, Emory University,
Nonarchimedean Geometry Learning Seminar, Improptu Talk |
Buiumisms (Jackson
Morrow's Notes --- this link broke :-( Jackson still has
other great notes... there is some stuff in his Gauss-Manin
Connection Notes on Buiumisms) |

Spring 2016, Emory University,
Algebra Seminar |
Kolchin Irreducibility |

Spring 2016, Kolchin Seminar
Workshop |
Effective Bounds for Manin-Mumford for Certain Bad Reduction Curves (w/ E. Katz, J. Rabinoff and D. Zureick-Brown) |

Spring 2016, Bristol
University,
Linfoot Seminar |
Toward Mazur's Conjecture on Uniform Manin-Mumford (w/ E. Katz, J. Rabinoff and D. Zureick-Brown) |

Fall 2015, Maine-Quebec
Number
Theory Seminar |
Examples of Varieties of General
Type over Function Fields whose Rational Points Are Not Dense
(w/Daniel Litt) (vlog
post) |

Spring 2015. Ben Gurion
University, Algebraic Geometry and Number Theory Seminar |
Examples of Lang-Bombieri-Noguchi
outside of Mordell-Lang. (w/Daniel Litt) |

Spring 2015, Ben Gurion
University, Set Theory and Logic Seminar |
Strongly Minimal Sets in DCF0
(w/J. Freitag) |

Spring 2015, Toulouse University |
Examples of Geometric
Lang-Bombieri-Noguchi outside Mordell-Lang (w/Daniel Litt) |

Spring 2015, JMM Model Theory
Special Session |
Derived Categories Meets
Differential Algebra (w/J. Freitag and 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 (w/ J. Freitag and 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 (w/ A. Buium) (Buium's youtube) (video, 2nd option) |

Spring 2014, AMS Western
Sectional, Arithmetic and Differential Algebraic Geometry |
Kolchin
Irreducibility
for Arithmetic Jet Spaces (w/ J. Frietag and L. E.
Miller) |

Spring 2014, Berkeley Model
Theory Seminar |
Kolchin
Irreducibility for p-Jets (w/ J. Freitag
and L. E. Miller) |

Fall 2013, West Coast Number
Theory Seminar |
Distribution
of
Bits of 3^n (keynote)
(w/ D. Weirich) |

Fall 2013, UCSD Number Theory
Seminar |
"Linear"
Constructions with Nonlinear Fermat Quotient Operators (keynote) |

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 (pdf) (w/ A. Buium) |

Spring 2013, AMS
Sectional
Meeting, Boulder |
Arithmetic Picard-Vessiot Theory (w/ A. Buium) |

Spring 2013, University of New
Mexico Geometry Seminar |
Automorphisms
of
the Affine Line Over Nonreduced Rings (keynote)
-- the paper is here |

Spring 2013, JMM Witt Vectors
Special Session |
A
Torsor of Lifts of the Frobenius (In characterstic 0) (keynote) |

Fall 2012, Texas Tech Geometry
Seminar |
Introduction
to p-Derivations and the Torsor of Lifts of the Frobenius |

Fall 2012, University of New
Mexico Geometry Seminar |
Deformations of Principal
Homogeneous Spaces |

Summer 2012, Witt Vectors Conference, Albuquerque New Mexico | Arithmetic Deformation Classes Associated to Curves, keynote file (animations) |

Spring 2012, University of New Mexico Geometry Seminar | Arithmetic Deformation Theory (scanned handwritten notes available by reques |

Spring 2012, University of New Mexico Geometry Seminar | The Field With One Element (scanned handwritten notes available by request) |

Fall 2012, University of New Mexico Geometry Seminar | Deninger Cohomology Theories |

Fall 2011, University of New Mexico Geometry Seminar | Lifts of the Frobenius |

Summer 2012, IMUS, Harmonic Analysis, Metic Spaces and PDES | p-adic and Dyadic analysis |

Spring 2011, University of New Mexico Geometry Seminar | Interactions between Group Cohomology and Cech Cohomology (notes available by request) |

Fall 2010, Comprehensive Exam | Arithmetic Deformation Theory |

Fall 2010, Mathematics and Physics Student Seminar | Coalgebras |

Spring 2010, Mathematics and Physics Student Seminar | Computation and Hilbert's 6th Problem |

Spring 2009, University of New Mexico Graduate Student Seminar (similar to AMS-MAA Joint Meeting 2009 talk) | Generalizing Kuratowski's Theorem to Higher Dimensions |

2007, University of Arizona Graduate Student Colloquium | Angel-Devil Problem |