The Department of Mathematics at Pomona College will offer an 8-week program to conduct research in Algebraic Geometry & Number Theory. The program, entitled PRiME (Pomona Research in Mathematics Experience), will run from June 13 through August 7, 2021. The program is being sponsored by the National Security Agency (H98230-21-1-0015).

The REU will be run virtually. Programming will include background lectures for the first 2 weeks on topics such as Group Theory, Differential Geometry, Elliptic Curves, Modular Curves, Belyi Maps, and Dessins d'Enfants. There will be three research groups working independently for the following 6 weeks. Participants attend various colloquia featuring outside speakers. At the end of the summer, assuming health restrictions allow, participants will travel to Sacramento, CA to attend the MAA MathFest.The program is directed by Edray Goins (Pomona College), Alex Barrios (Carleton College), and Rachel Davis (University of Wisconsin at Madison). Research projects can be found here.

During the summer, each of the undergraduate participants will:

- Complete a research project done in collaboration with other PRiME students.
- Give a presentation at MAA's MathFest and write a technical report.
- Attend a series of colloquium talks given by leading researchers in their fields.
- Attend workshops aimed at developing skills and techniques needed for research careers in the mathematical sciences.

In order to successfully complete this project, participants will:

- Meet at least 10 hours every week for a minimum of 8 weeks.
- Be introduced to advanced topics relevant for their research such as: Abstract Algebra, Complex Analysis, Differential Geometry, Graph Theory, and Number Theory.
- Learn how to use an computational mathematical packages such as Sage, Mathematica, or Matlab.
- Learn how to use LaTeX, a mathematical typesetting language.
- Write a technical paper explaining the details of the project.
- Design a poster giving an overview of the project.

Participants in the PRiME program will receive:

- a stipend of $4,000 upon successful completion of the program,
- an iPad Pro (12.9 inches), and
- a $1,000 allowance for travel to a future conference.

Students must be undergraduates in good standing, although preference will be given to applicants who will begin either their junior or senior year in the Fall of 2021. National Security Agency (NSA) funding also requires that participants must be either US Citizens or Permanent Residents. Unfortunately, we are not accepting applications from students who may provide their own funding.

Applications for the PRiME program should be submitted through MathPrograms.org.

- Two letters of recommendation addressing your ability to conduct research and your ability to work with others.
- An unofficial transcript or list of math courses and grades. An official transcript may be required upon admission to the program.
- A cover letter addressing your interest in the PRiME program. Please address what you hope to get out of participating in PRiME and also which of the three research topics you would prefer to participate in.

For full consideration, applications should be received no later than ** February 15, 2021**. Decisions will be announced by March 1, 2021. Questions should be directed to Edray Goins at edray.goins@pomona.edu.

Contact edray.goins@pomona.edu for more information.