Santiago Arango-Piñeros
| • Research • Teaching • Activities • Other • |
I am a third year Ph.D. candidate at Emory University's Department of Mathematics, in Atlanta. My advisor is David Zureick-Brown. I earned my M.S. from IMPA in Rio de Janeiro, and my B.S. from Universidad de los Andes in Bogotá. Here is my CV.
Research
My research is in arithmetic geometry, the intersection of number theory and algebraic geometry. My specific interests gravitate toward problems in arithmetic statistics.
In progress
- q-Frobenius distributions of abelian varieties, with Deewang Bhamidipati and Soumya Sankar.
Published
- Mertens' theorem for Chebotarev sets, with Daniel Keliher and Christopher Keyes. (International Journal of Number Theory, Vol. 18, No. 08, pp. 1823-1842, April 2022) (arXiv)
- The global field Euler function, with Juan Diego Rojas. (RIMS, Volume 7, Article 19, September 2020) (SharedIt)
Activities
[ ]JUICE; Just an Unlikely Intersections Colloquium at Emory. (Co-organized with Roberto Hernández, Fall 2022)[X]I started learning about stacks; here are my handwritten notes. (Fall of 2022)[X]Modular and automorphic forms on GL2 Student seminar. (Fall 2021)[X]Geometric Arithmetic Statistics Emory Seminar GASES. (Co-organized with Christopher Keyes and David Zureick-Brown, Spring 2021)[X]Emory ARithmetic Statistics Student Seminar EARSSS. (Co-organized with Christopher Keyes and David Zureick-Brown, Fall 2020)[X]Mentor at TWOPLES directed reading program. (I mentored Leonardo Méndez and Camilo Martinez in the fall semester of 2020)
Talks
If you attended one of my talks, please fill this form with any feedback you might have to help me become a better speaker!
[ ]Special Session: AMS Central Sectional, Cincinnati.[ ]Number theory seminar, University of South Carolina.[X]PANTS XXXV.
Other
I believe that everybody counts:
- Mathematical potential is distributed equally among different groups, irrespective of geographic, demographic, and economic boundaries.
- Everyone can have joyful, meaningful, and empowering mathematical experiences.
- Mathematics is a powerful, malleable tool that can be shaped and used differently by various communities to serve their needs.
- Every student deserves to be treated with dignity and respect.
Advice links
This is a list of websites/articles I revisit frequently.
- DZB's advice for future arithmetic geometers.
- Bjorn Poonen's advice for Ph.D. students in math.
- Poonen's advice for mathematical writing and speaking. Inspired be these, this wonderful article.
- Jordan Ellenberg's tips for giving talks.
- Matt Might's 12 resolutions for grad students.
Arithmetic statistics resources
- Arithmetic statistics at the 2014 AWS.
- The problem set is phenomenal.
- There are several arithmetic statistics videos on the VANTAGE seminar record.
- Expository article on Sato-Tate distributions by Andrew Sutherland.
- Notes on Bhargavology by Aaron Landesman.
- Álvaro Lozano-Robledo's list of arithmetic statistics resources.