AxIOM

Unlock the mysteries of singularities with the mathematical tools that study shock waves, fluid flows, quantum systems, and beyond. This research program brings together world-leading experts to advance breakthrough theories in Analysis and PDEs, from Wiener-type criteria and free boundary problems to nonlinear wave dynamics and machine-learning-guided discovery. Bridging pure mathematics, probability, fluid mechanics, numerical analysis, and biomedical engineering, the program will ignite new collaborations and advance how we understand the mathematics behind natural phenomena. How to Apply Applications are open via MathPrograms.org between February 1 through April 30, 2026 for visits of 1 week to 4 weeks during the program dates in Spring 2027. Apply via MathPrograms.org by April 30, 2026 Eligibility  Researchers with a PhD (or equivalent) or advanced graduate standing at the time of the AxIOM program. Researchers must be in residence for at least one week, and preference may be given to those who can attend for longer periods.  Participant Support SLMath will provide local accommodation or reimburse participants for out-of-pocket lodging costs. SLMath is committed to maintaining family-friendly policies and, when possible, facilitating appropriate arrangements for partners and children of program members. Learn more about Childcare Grants for members with children ages 17 and under. Application Requirements Curriculum Vitae Publication list Statement of purpose One letter of support