## Sachi HashimotoTamarkin Assistant ProfessorBrown University sachi_hashimoto at brown dot edu Office: Kassar 310 CV |

I am broadly interested in number theory and algebraic geometry. More specifically, I am interested in rational points and explicit methods in arithmetic geometry.

- Local heights on hyperelliptic curves and quadratic Chabauty (with L. Alexander Betts, Juanita Duque-Rosero, and Pim Spelier), arXiv:2401.05228.
- Towards a Classification of Isolated j-invariants (with Abbey Bourdon, Timo Keller, Zev Klagsbrun, David Lowry-Duda, Travis Morrison, Filip Najman, and Himanshu Shukla, and an appendix by Maarten Derickx and Mark van Hoeij), to appear in
*Mathematics of Computation*. - Self-dual matroids from canonical curves (with Alheydis Geiger, Bernd Sturmfels, and Raluca Vlad), to appear in
*Experimental Mathematics*. - Geometric quadratic Chabauty and p-adic heights (with Juanita Duque-Rosero and Pim Spelier), Special Issue in Honor of B. Edixhoven,
*Expositiones Mathematicae*, 41, (2023), no. 3, 631–674. - Quadratic Chabauty and p-adic Gross-Zagier,
*Transactions of the American Mathematical Society*, 376, (2023), no. 5, 3725-3760. - A geometric linear Chabauty comparison theorem (with Pim Spelier),
*Acta Arithmetica*202 (2022), no. 1, 67–88. 11G30 (11D45). - A transcendental Brauer-Manin obstruction to weak approximation on a Calabi-Yau threefold (with Katrina Honigs, Alicia Lamarche, and Isabel Vogt, and an appendix by Nicolas Addington),
*Research in Number Theory*8 (2022), no. 1, Paper No. 12. -
38406501359372282063949 & all that: Monodromy of Fano Problems (with Borys Kadets),
*International Mathematics Research Notices*(2020), rnaa275. - Chabauty-Coleman computations on rank 1 Picard curves (with Travis Morrison),
*Arithmetic Geometry, Number Theory, and Computation, Simons Symposia*, Springer, 2021, 485-506. - Computing rational points on rank 0 genus 3 hyperelliptic curves (with María Inés de Frutos-Fernández)
*, Arithmetic Geometry, Number Theory, and Computation, Simons Symposia*, Springer, 2021, 449-460.

Here are some expository notes on the geometric quadratic Chabauty theory of Edixhoven and Lido.

I'm co-organizing a learning seminar on galois representations.

I'm co-organizing the algebra seminar at Brown University this year -- let me know your suggestions!

I organized "Number Theory meets Tropical Geometry: the semistable reduction of curves" at MPI Leipzig in April 17 - 21.

- Math 0520, Section 07, Linear Algebra, 10:30-11:50 (Spring 2024)
- Math 0520, Section 04, Linear Algebra, T/Th 1:00-2:20 (Fall 2023)
- Math 0520, Section 05, Linear Algebra, T/Th 10:30-11:50 (Fall 2023)
- Directed Reading Program at Boston University, co-founder and co-director, 2018 - 2022
- Proof School, 2015-2017, middle and high school teacher
- Canada/USA Mathcamp, summers 2014, 2015, 2016, 2019
- Love Math!, a festival for girls, co-founder and co-director, 2016 - 2019.