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Andrew R. Tawfeek

atawfeek@uw.com

Curriculum Vitae

I'm a fourth-year mathematics graduate student at the University of Washington.

I am advised by Sándor Kovács.

During this summer, I will be an intern at the Georgia Tech Research Institute, working on geometric trust for AI.

Recent and upcoming activities:

  • Moduli of Varieties, University of Utah, November 7 - 10, 2024

  • Joint Mathematics Meeting (JMM), Seattle, WA, January 8 - 11, 2025

  • 2025 Summer Research Institute Bootcamp, Online, July 8 - 12. 2025

  • 2025 Summer Research Institute in Algebraic Geometry, Colorado State University, July 21 - 25, 2025

  • Macaulay2 Workshop: Madison 2025, University of Wisconsin–Madison, June 30 - July 4, 2025

Papers and preprints:

  • A tropical framework for using Porteous Formula.
    Submitted. (pdf) (arXiv)

  • A^1-Brouwer degrees in Macaulay2, with N. Borisov, T. Brazelton, F. Espino, T. Hagedorn, Z. Han, J. Garcia, J. Louwsma, and G. Ong.
    Published in Journal of Software for Algebra and Geometry. 2024. (pdf) (arXiv) (journal)

  • On discrete gradient vector fields and Laplacians of simplicial complexes, with I. Contreras.
    Published in Annals of Combinatorics. 2023. (pdf) (arXiv) (journal)

  • Quantum Jacobi forms and sums of tails identities, with A. Folsom, E. Pratt, and N. Solomon.
    Published in Research in Number Theory. 2022. (pdf) (journal)

Expository writing:

  • An introduction to geodesics: the shortest distance between two points. (pdf) (arXiv)

Seminars:

  • Tropical Geometry Seminar (co-organized with Dhruv Bhatia)

  • Combinatorial Algebraic Geometry Seminar (co-organized with Cameron Wright)

  • ∞-Category Theory Reading Seminar (co-organized with Nelson Niu and Soham Ghosh)

  • Knot Number Theory Reading Seminar (co-organized with Alex Galarraga)

  • Algebraic Geometry Reading Seminar (co-organized with Alex Wang)

I enjoy the blurring of art and mathematics. Here I am sculpting of a Clebsch surface.

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