Title: Global Harmonic Analysis
Title: Categories in algebra, geometry, and physics with application to noncommutative derived geometry.
Title: On PDE aspects of the Navier-Stokes equations, Euler equations, and certain model equations.
Title: The algebraic K-theory of the sphere spectrum, the geometry of high-dimensional manifolds, and arithmetic
Title: Hodge structures, coniveau and algebraic cycles
Canonical bases and algebraic geometry
Motivic DT-type invariants and 3d mirror symmetry
Nonlocal vector calculus and asymptotically compatible schemes
Isoperimetric inequalities for Ramanujan complexes and topological expanders