| 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 |