# Santiago Arango-Piñeros

• Research • Teaching • Activities • Expository Writing • 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.

### 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)`[ ]`

I'm learning about stacks. (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*)

## Expository Writing

### Blog

Here are some of my mathematical musings and grad school experiences. I write mostly for myself, following Matt Might's advice.

- Lang's conjecture (first draft).
- Zeta functions and the Weil conjectures.
- My qualifying exam.

## 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 writting 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.