IAS/Park City Mathematics Institute

Program ID: PCMI-GSS2022 [#1185]
Program Title: Graduate Summer School 2022
Program Type: Graduate or early career program
Program Location: Park City, Utah 84060, United States [map]
Application Deadline: (posted 2021/11/01, updated 2021/10/29, listed until 2022/01/15)
Program Description:    

The Graduate Summer School bridges the gap between a general graduate education in mathematics and the specific preparation necessary to do research on problems of current interest. In general, GSS applicants will have completed their first year of graduate school, and in some cases, may already be working on a thesis. While most GSS participants will be graduate students, recent PhDs (PhD received less than 1 year ago) may also be interested in applying to the GSS. Some mobility is expected between the Graduate Summer School and the Research Program, but postdoctoral scholars who are more than one year after receipt of their PhD should consider applying to the Research Program, not to the Graduate Summer School.

The main activity of the Graduate Summer School will be a set of several interwoven minicourses offered by leading experts in the field, designed to introduce students to exciting, current research in mathematics. These minicourses will not duplicate standard courses available elsewhere. Each minicourse comprises three to five lectures. These minicourses vary in level of preparation needed, and the schedule is structured so there are good opportunities for students just entering the field as well as courses suitable for more advanced students. Each course is accompanied by a daily problem session, structured to help students develop facility with the material. Teaching assistants will be available for each minicourse.

Number theory has always drawn inspiration from computational experiments; the importance and influence of computational number theory has steadily expanded over the last decades. The goal of the 2022 GSS is to bring together people working at the interface of number theory and computation, interpreted broadly. There will be minicourses on topics including algorithmic number theory, post-quantum cryptography, geometry of numbers, and arithmetic statistics; more advanced topics will include computation of zeta functions and computational arithmetic geometry.

Prerequisites: Most courses should be accessible to students who have completed graduate-level courses in algebraic number theory and algebraic geometry, including familiarity with elliptic curves. Advanced courses may require other prerequisites, which will be posted along with course descriptions.


1. Complete a Standard Coversheet for MathPrograms.Org. Your Standard Coversheet should include the name/s and email address/es of your reference writer/s. One letter of reference is REQUIRED (see below); you may submit up to two references in support of your application.

2. Provide one Reference Letter (REQUIRED). On the application, fill in the checkbox for your reference writer from the name you entered on your Standard Coversheet, then click on the green arrow next to the reference writer’s name so the writer will receive your reference request by email. When notified, your writers will then receive login info and upload instructions to come to the MathPrograms.org site to upload their letters. If your reference writer does not have access to a computer, he or she may submit the reference letter by mail no later than January 15, 2022.

3. Provide your Curriculum Vitae/Resume (REQUIRED): Applicants must upload their CV to their online application.

4. Provide a link to one preprint or publication.(OPTIONAL)

Application Materials Required:
Submit the following items online at this website to complete your application:
And anything else requested in the program description.

Further Info:
IAS/Park City Mathematics Institute
Institute for Advanced Study
1 Einstein Drive
Princeton, NJ 08540

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