3rd Simons Math Summer Workshop: Partial Differential Equations of Classical Physics- July 7-25, 2025

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Organized by:

• John Anderson (Stony Brook)
• Mihalis Dafermos (Princeton)
• Theodore Drivas (Stony Brook)
• Jonathan Luk (Stanford)

Recent years have seen many exciting advances in the study of PDEs. Experience has shown that ideas developed in the context of certain PDEs can often be adapted to say something interesting about other equations as well. Even when this is not the case, probing the adaptability of techniques to different equations can help find new techniques, or at the least find interesting new directions for study. The size and specialization of the community studying PDEs means that there are limited opportunities for different groups to have substantial interactions, despite the clear benefits.

This workshop aims to provide an opportunity for such in depth interactions among mathematicians interested in fundamental questions about PDEs in classical physics. It will feature minicourses by experts which provide answers to such questions, and which provide an introduction to the powerful techniques involved. These minicourses will be geared towards advanced graduate students as well as other established researchers who may specialize in different areas.  Each week will feature about three such minicourses.

One of the main goals of the workshop is to encourage discussions outside of the minicourses among the many participants. For this reason, afternoons will often be free to help facilitate such interactions, and participants are encouraged to stay for multiple weeks of the three week program. The program will also feature sessions run by special lecturers with the sole aim of finding interesting directions for further study. Various social activities will also be organized to further facilitate interactions among the participants.

Minicourse lecturers: Jacob Bedrossian, Tarek Elgindi, Juhi Jang, Eugenia Malinnikova, Sung-Jin Oh, Igor Rodnianski, Wilhelm Schlag, Sylvia Serfaty, Luis Silvestre, Jared Speck, Mikhail Vishik.