Sean Howe. first DOT last AT utah DOT edu. JWB 323.

A randomly generated cubic surface with its real lines (mathematica notebook below )

contact info:

I am on a leave of absence for most of the academic year 2023-24.
(you can find me at the IAS special year!)

E-mail: first DOT last AT utah DOT edu.
Office: JWB 323

bio info:

My CV.

Since July 2019, I have been an Assistant Professor in the Department of Mathematics at the University of Utah.

From September 2017 to June 2019, I was an NSF Postdoctoral Scholar at Stanford University. In June 2017, I received my PhD from the University of Chicago, advised by Matt Emerton. In July 2012 I received a joint master's degree from Leiden University and Universite Paris-Sud 11 through the ALGANT integrated masters course.

I work in arithmetic and algebraic geometry, representation theory, and number theory.

A professional photographer took this picture!

teaching

2023 - Spring - Math 4400. Introduction to Number Theory.
2023 - Spring - Math 1220. Calculus II (online).
2022 - Fall - Math 2270 (2 sections). Linear algebra.
2022 - Spring - Math 4400. Introduction to Number Theory.
2021 - Fall - Math 6370. Algebraic Number Theory.
2021 - Summer - pre-REU
2021 - Spring - Math 6320. Modern Algebra II.
2020 - Fall - Math 6370. An elementary but modern introduction to p-adic Hodge theory.
2020 - Summer - pre-REU
2020 - Spring - Math 6320. Modern Algebra II.

preprints:

Admissible pairs and p-adic Hodge structures II: The bi-analytic Ax-Lindemann theorem
Sean Howe and Christian Klevdal.
arXiv:2308.11064
Admissible pairs and p-adic Hodge structures I: Transcendence of the de Rham lattice
Sean Howe and Christian Klevdal.
arXiv:2308.11065
The conjugate uniformization via 1-motives.
Sean Howe, Jackson Morrow, and Peter Wear.
arXiv:2208.10551
Cohomological and motivic inclusion-exclusion.
Ronno Das and Sean Howe.
arXiv:2204.04165

published/to appear:

Slope classicality in higher Coleman theory via highest weight vectors in completed cohomology.
Sean Howe. Proceedings of the National Academy of Sciences. Vol. 19, No. 45, November 2022.
journal (open access) · arXiv:2111.15576
Zeta statistics and Hadamard functions.
Margaret Bilu, Ronno Das, and Sean Howe. Advances in Mathematics. Volume 407. October 2022.
journal (open access) · arXiv:2012.14841
The spectral p-adic Jacquet-Langlands correspondence and a question of Serre.
Sean Howe. Compositio Mathematica, 158(2), 245-286. 2022.
journal (open access) · arXiv:1806.06807
(Note: Some results in the earlier arXiv version have been split off to appear in another work in progress.)
Motivic Euler products in motivic statistics.
Margaret Bilu and Sean Howe. Algebra and Number Theory, Vol. 15 (2021), No. 9, 2195-2259.
journal · arXiv:1910.05207
Overconvergent modular forms are highest weight vectors in the Hodge-Tate weight zero part of completed cohomology.
Sean Howe. Forum of Mathematics, Sigma. Vol. 9:e17 (2021) 1-24.
journal (open access) · arXiv:2008.08029
A unipotent circle action on p-adic modular forms.
Sean Howe. Transactions of the American Mathematical Society Series B, 7 (2020), 186-226.
journal (open access) · arXiv:2003.11129
Motivic random variables and representation stability I: Configuration spaces.
Sean Howe. Algebraic & Geometric Topology, 20-6 (2020), 3013-3045.
journal · arXiv:1610.05723.
Motivic random variables and representation stability II: Hypersurface sections.
Sean Howe. Advances in Mathematics, Volume 350, 9 July 2019, Pages 1267-1313.
journal · arXiv:1610.05720
Transcendence of the Hodge-Tate filtration.
Sean Howe. Journal de théorie des nombres de Bordeaux, 30 no. 2 (2018), p. 671-680.
journal · arXiv:1610.05242.
Presentations of quaternionic S-unit groups.
Ted Chinburg, Holley Friedlander, Sean Howe, Michiel Kosters, Bhairav Singh, Matthew Stover, Ying Zhang, and Paul Ziegler. Experimental Mathematics, Volume 24, Issue 2 (2015), p. 175-182.
journal · arXiv:1404.6091
The Log-Convex Density Conjecture and vertical surface area in warped products.
Sean Howe. Advances in Geometry, 15.4:455--468, 2015.
journal · arXiv:1107.4402
Isoperimetric problems in sectors with density.
Alexander Diaz, Nate Harman, Sean Howe, and David Thompson. Advances in Geometry, 14.4:589--619, 2012.
journal · arXiv:1012.0450
Steiner and Schwarz symmetrization in warped products and fiber bundles with density.
Frank Morgan, Sean Howe, and Nate Harman. Revista Matematica Iberoamericana, 27(3):909--918, 2011.
journal · arXiv:0911.1938
Isoperimetric inequalities for wave fronts and a generalization of Menzin's conjecture for bicycle monodromy on surfaces of constant curvature.
Sean Howe, Matt Pancia and Valentin Zakharevich. Advances in Geometry, 11:273--292, 2011.
journal · arXiv:0902.0104

theses:

Overconvergent modular forms and the p-adic Jacquet-Langlands correspondence.
Sean Howe, University of Chicago PhD Thesis, 2017. Note: Some of the results of this thesis appear in "The p-adic Jacquet-Langlands correspondence and a question of Serre," above.
knowledge.uchicago.edu · local pdf ·
Higher genus counterexamples to relative Manin-Mumford.
Sean Howe, ALGANT Master's thesis.
algant.eu

other writings:

Some of these are old and may be be quite rough, sorry!

Notes from Laurent Fargues' Fall 2015 lecture series at University of Chicago on GEOMETRIZATION OF THE LOCAL LANGLANDS CORRESPONDENCE.
Notes from a summer 2014 learning seminar talk at University of Chicago on mixed Hodge theory.
Asymptotics of conductors of elliptic curves over Q.
Sean Howe and Kirti Joshi. Note: This is an older project and revisions in progress are unlikely to be finished.
arXiv:1201.4566

mathematica notebooks:

(provided as-is; feel free to use, and let me know if you do something cool!)

Root Loops: Dynamically draws roots of a one-parameter family of polynomials.
random-cubic-lines.nb: Generates and displays a random cubic surface with its real lines.
random-surface.nb: Generates and displays a random surface (can vary degree)
random-curve.nb: Generates and displays a random curve (can vary degree)