Isabel Vogt
(Photo by Joe Rabinoff.)

I am currently an assistant professor at the University of Washington in Seattle. 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.

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 Address:
University of Washignton
Department of Mathematics
Padelford Hall
Seattle, WA 98195-4350
Office: Padelford C-526
Permanent email: ivogt.math (guess)
Institutional email: ivogt (guess)

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.




  • A transcendental Brauer-Manin obstruction to weak approximation on a Calabi-Yau threefold, with Sachi Hashimoto, Katrina Honigs and Alicia Lamarche, with an appendix by Nicolas Addington
    (pdf) (arXiv) (show abstract)

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

  • Stability of normal bundles of space curves, with Izzet Coskun and Eric Larson
    (pdf) (arXiv) (show abstract)

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

  • Low degree points on curves, with Geoffrey Smith
    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 Eric Larson
    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 Renee Bell, Cliff Blakestad, Alina Cojocaru, Alex Cowan, Nathan Jones, Vlad Matei, and Geoffrey Smith
    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 Francesca Balastrieri, Julie Desjardins, Alice Garbagnati, Céline Maistret, and Cecília Salgado,
    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 Jesse Silliman,
    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)



Upcoming (Virtual) Travel




Isabel Vogt
Teaching on Zoom. (By UW student Maya Vita.)

Past Teaching

  • University of Washington, Math 308 (Matrix Algebra with Applications) Winter 2021
  • MIT, 18.06 Fall 2017

Arizona Winter School Problem Set

Old Notes and Problems

  • A presentation I gave on MIT PRIMES Circle at the MIT SEPT program in June, 2015: (pdf)
  • Linear Algebra Problems:
  • Functions, Differential Calculus, Point-Set Topology Problems:
  • A (very brief) Introduction to LaTeX for math students: (pdf) (tex)


Expository Writing

Published Writing

Older expository papers and presentations

  • The Local Langlands Correspondence for GL_n over a p-adic Field (pdf)
  • Vector Fields on Spheres (pdf)
  • Lefschetz Fixed Point Theorem (pdf)
  • A Brief History of Homotopy Theory (slides from talk for the Harvard History of Math Seminar) (pdf)
  • An Introduction to the Euler Characteristic (pdf)