I am a fourth year PhD student in Mathematics and an NSF Graduate Research Fellow at the University of Pennsylvania. I am co-advised by Mona Merling and Kirsten Wickelgren. Previously I was an undergraduate at Johns Hopkins University. I am interested in algebraic topology, particularly $\textbf{A}^1$-homotopy theory and equivariant homotopy theory. My CV is here.

tbraz at math.upenn.edu

I co-founded the Penn chapter of the Directed Reading Program with Mona Merling, which I now co-organize with Marielle Ong. We were recently featured in an article in Omnia.

### Papers and Preprints:

1. Bézoutians and the $\mathbb{A}^1$-degree, with S. McKean, S. Pauli,
30 pages, 2021. Submitted.
2. Sums of distinct residues of Lucas polynomials over $\mathbb{F}_p$, with J. Harrington, M. Litman, T.H.W. Wong,
18 pages, 2021. Preprint.
3. Homotopy Mackey functors of equivariant algebraic $K$-theory,
39 pages, 2021. Submitted.
4. An introduction to $\mathbb{A}^1$-enumerative geometry,
33 pages, 2020. To appear in Springer Lecture Notes in Mathematics.
5. A note on semilinearization and twisted group rings,
Communications in Algebra, 2021.
6. The trace of the local $\mathbb{A}^1$-degree, with R. Burklund, S. McKean, M. Montoro, M. Opie,
Homology, Homotopy and Applications 23(1):243-255, 2021.
7. Zeros of newform Eisenstein series on $\Gamma_0(N)$, with V. Jakicic,
J. Number Theory (190):109-130, 2018.
8. On consecutive $n$th roots of unity modulo $q$, with J. Harrington, S. Kannan, M. Litman,
J. Number Theory (174):494-504, 2017.

### Conference and course notes:

Disclaimer: Any errors found in these notes should be attributed to me, not the original lecturer. If you find any typos or have suggestions, please feel free to contact me.

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