Tristan Buckmaster

My current research is divided into three projects:

• Singularity formation and development for compressible fluid
• Self-similar blowup for incompressible fluid
• Development of a mathematically rigorous framework for the theory of wave turbulence

Previously, stemming from my doctoral work, I worked on applying the technique of convex-integration to prove non-uniqueness results for weak solutions to fluid equations. For my joint work with Vlad Vicol on non-uniqueness of weak solutions to the Navier-Stokes, I was awarded the 2019 Clay Research Award (joint with Vlad Vicol and Philip Isett).

My research is currently supported through following grants:

• National Science Foundation grant DMS-2243205 'CAREER: Singularities in fluids'
• National Science Foundation grant DMS-2244879 'FRG: Collaborative Research: Singularities in Incompressible Flows: Computer Assisted Proofs and Physics-Informed Neural Networks'
• Simons Foundation Mathematical and Physical Sciences collaborative grant 'Wave Turbulence'