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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.

I am also a researcher at Georgia Tech Research Institute, interning Summer 2025 and continuing part-time in the Fall. My projects revolve around developing geometric and topological notions for measuring trust in in 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

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

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

You can find some code I have written for research projects on my GitHub.

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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