Workshop Structure
This workshop will begin with a Problem Session, with participants giving short (10 min) pitches for open problems that they would like to work on with a group. Problems in any mainstream area of Geometric Analysis are welcome, but those for which a computational or applied strategy may be available are strongly preferred. Participants will then vote to rank the problems balancing interest and feasibility, and will be organized in small groups (3-4 people) assigned to the top-ranking problems. During the rest of the week, groups will benefit from long uninterrupted time slots in separate rooms to work together on their problem. Each morning, a talk that includes software demonstrations (e.g., Mathematica, Maple, SageMath, LiE, SurfaceEvolver, HomotopyContinuation, etc.) will be given, to describe computational tools of general interest to researchers in Geometric Analysis. At the end of the week, groups will present on their work and discuss the outcomes.
We anticipate that participants will have a wide range of experience with computational tools and methods from Applied Mathematics, some with none, some that specialize in them. The goal is to learn from one another, while trying to make progress towards solving open problems in Geometric Analysis.
Participants may apply for travel and lodging reimbursement; US-based participants may be eligible to receive a modest stipend to allow them to fully commit to participating in the workshop.
The application deadline is April 15, 2025.
Talks/Software demonstrations
Mario Schulz
Surface Evolver-inspired minimal surfaces
Hannah Friedman
Solving Systems of Polynomial Equations
HomotopyContinuation / OSCAR
Paul Schwahn
Venue
The event will be held at:
CUNY Graduate Center
365 5th Ave, New York, NY 10016
Organizers
Lucas Ambrozio, IMPA
Renato Bettiol, CUNY
Funding for this workshop is provided by:
National Science Foundation (CAREER Award DMS-2142575)
CUNY Graduate Center (Department of Mathematics)
