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


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


bio/contact info:

As of July 2019, I am an Assistant Professor in the Department of Mathematics at the University of Utah.
E-mail: first DOT last AT utah DOT edu.
Office: JWB 323

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. My CV.


That's me! No, not the ivy, the person in front of the ivy.


teaching


preprints:

  1. Zeta statistics and Hadamard functions.
    Margaret Bilu, Ronno Das, and Sean Howe.
    arXiv:2012.14841
  2. The spectral p-adic Jacquet-Langlands correspondence and a question of Serre.
    Sean Howe.
    local PDF · (see also arXiv:1806.06807 for an older version; part has been split off to appear in another work).

published/to appear:

  1. Motivic Euler products in motivic statistics.
    Margaret Bilu and Sean Howe.
    To appear in Algebra and Number Theory
    arXiv:1910.05207
  2. Overconvergent modular forms are highest weight vectors in the Hodge-Tate weight zero part of completed cohomology.
    Sean Howe. Forum of Mathematics, Sigma. Volume 9, March 2021.
    journal (open access) · arXiv:2008.08029
  3. 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
  4. Motivic random variables and representation stability I: Configuration spaces.
    Sean Howe. Algebraic & Geometric Topology, 20-6 (2020), 3013-3045.
    journal · arXiv:1610.05723.
  5. 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
  6. 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.
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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:

  1. 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 ·
  2. 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!

mathematica notebooks:

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