Isabel Vogt
(Photo by Joe Rabinoff.)

I am currently an assistant professor at Brown University. My work is partially supported by an NSF postdoc (DMS-1902743). I received my PhD in June 2019 from MIT, where I was a student of Bjorn Poonen and Joe Harris. During the 2019-2020 academic year I was an NSF postdoc at Stanford University, working with Ravi Vakil. During the 2020-2021 academic year I was an assistant professor at The University of Washington.

My research is in the intersection of algebraic geometry and number theory. I am currently particularly interested in the geometry of algebraic curves and applications of geometric methods to the study of rational points.

Here is my CV.

Current mailing address:
Brown University
Box 1917
151 Thayer Street
Providence, RI 02912
Office: Kassar House 315
Permanent email: ivogt.math (guess) gmail.com
Institutional email: isabel_vogt (guess) brown.edu


I firmly believe Federico Ardila's basic axioms:

  • Axiom 1. Mathematical potential is distributed equally among different groups, irrespective of geographic, demographic, and economic boundaries.
  • Axiom 2. Everyone can have joyful, meaningful, and empowering mathematical experiences.
  • Axiom 3. Mathematics is a powerful, malleable tool that can be shaped and used differently by various communities to serve their needs.
  • Axiom 4. Every student deserves to be treated with dignity and respect.


 

Research

Papers

  • A transcendental Brauer-Manin obstruction to weak approximation on a Calabi-Yau threefold, with , , , with an appendix by
    Research in Number Theory, to appear (pdf) (arXiv) (show abstract)

  • Global Brill--Noether theory over the Hurwitz Space, with and
    (pdf) (arXiv) (show abstract)

  • Stability of normal bundles of space curves, with and
    Algebra and Number Theory, to appear (pdf) (arXiv) (show abstract)

  • An enriched count of the bitangents to a smooth plane quartic curve, with
    Research in the Mathematical Sciences, 2021 (pdf) (arXiv) (show abstract) (video)

  • Low degree points on curves, with
    International Mathematics Research Notices, 2020 (pdf) (journal) (arXiv) (show abstract) (video)

  • A local-global principle for isogenies of composite degree,
    Proceedings of the London Mathematical Society, 2020 (pdf) (arXiv) (show abstract)

  • Interpolation for Brill-Noether curves in P^4, with
    European Journal of Mathematics, 2020 (pdf) (arXiv) (journal) (show abstract)

  • Abelian varieties isogenous to a power of an elliptic curve over a Galois extension,
    Journal de Théorie des Nombres de Bordeaux, 31(1): 205-213, 2019 (pdf) (arXiv) (show abstract)

  • Constants in Titchmarsh divisor problems for elliptic curves,
    with , Cliff Blakestad, , , , and
    Research in Number Theory, 6(1): Art. 1, 24, 2020, (pdf) (arXiv) (show abstract)

  • Elliptic fibrations on covers of the elliptic modular surface of level 5,
    with , , , , and
    WINE II: Contributions to Number Theory and Arithmetic Geometry, AWM Springer Series 11 (2018)
    (pdf) (book) (arXiv) (show abstract)

  • Interpolation for Brill-Noether space curves,
    manuscripta mathematica 156(1), (2018) (pdf) (journal) (arXiv) (show abstract)

  • Powers in Lucas sequences via Galois representations, with
    Proc. Amer. Math. Soc., 143 (2015) (pdf) (journal) (arXiv) (show abstract)

Computer Programs

  • Binary Recurrence Sequences, release 5.13 of SAGE computer algebra system (trac ticket)



 

Activities

Upcoming (Hybrid) Travel

  • December 9, Number Theory and Algebraic Geometry seminar, Simon Fraser University
  • January 7, JMM, Special session on Explicit Methods for Modularity

Conferences



 

Teaching

Teaching on Zoom
Teaching on Zoom
(cartoon by UW student Maya Vita)

Current Teaching

  • Fall 2021: Math 540 Honors Linear Algebra at Brown University

Previous Teaching

  • Winter 2021: Math 308 Linear Algebra at UW
  • Fall 2017: 18.06 Linear Algebra at MIT

Arizona Winter School Problem Set



 

Expository Writing

Published Writing

  • Practical Suggestions for Mathematical Writing,
    with , , ,
    Notices of the American Mathematical Society, 2021 (pdf)

  • A Guide to Organizing a Virtual Conference, with and
    Notices of the American Mathematical Society, 2020 (pdf)

  • How to organize a graduate workshop, with
    Notices of the American Mathematical Society, 2019 (pdf)

  • Thinking positive: arithmetic geometry in characteristic p,
    with , , and
    Notices of the American Mathematical Society, 2019 (pdf)