IAS/Park City Mathematics Institute

Program ID: PCMI-GSS2023 [#1367]
Program Title: Graduate Summer School 2023
Program Type: Graduate or early career program
Program Location: Park City, Utah 84060, United States [map] sort by distance
Application Deadline: 2023/01/15 11:59PMhelp popup (posted 2022/11/01, updated 2022/10/28, listed until 2023/01/15)
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.

Very recently we have seen experiments at the boundary of the "quantum computing advantage", where quantum computers can massively outperform classical ones at certain tasks. These advances highlight the need for further mathematical understanding of the computational power of near-term quantum devices. The goal of the 2023 GSS is to dive deeply into the mathematics relevant for building near-term quantum computers, analyzing their power, and putting them to use. Minicourses will include: overviews of quantum learning, information theory, and linear-algebraic algorithms; recent advances in quantum error-correcting codes; and, the complexity theory of random circuits and Hamiltonians.

Prerequisites: Students should have a solid foundation in linear algebra, probability, and theoretical computer science; basic knowledge of quantum computing will also be helpful.


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, 2023.

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