Ph.D., SUNY at Stony Brook, 1992
M.A., Uniwersytet Warszawski, 1988
M.S., Politechnika Warszawska, 1987
Analysis and Partial Differential Equations, Differential Geometry, Partial Differential Equations
Global Analysis, Partial Differential Equations
Global analysis and partial differential equations; in particular, riemannian geometry of diffeomorphism groups and analysis of fluids
G. Misiolek and T. Yoneda, Continuity of the solution map of the Euler equations in H\"older spaces and weak norm inflation in Besov spaces, Trans. Amer. Math. Soc. 370 (2018), 4709-4730.
B. Khesin, J. Lenells, G. Misiolek and S. Preston, Geometry of diffeomorphism groups, complete integrability and geometric statistics, GAFA, Geom. funct. anal. 23 (2013), 334-366.
G. Misiolek and S. Preston, Fredholm properties of Riemannian exponential maps on diffeomorphism groups, Invent. math. 179 (2010), 191-227.
A. Himonas and G. Misiolek, Non-uniform dependence on initial data of solutions to the Euler equations of hydrodynamics, Comm. Math. Phys. 296 (2010), 285-301.
B. Khesin and G. Misiolek, Euler equations on homogeneous spaces and Virasoro orbits, Adv. Math. 176 (2003), 116-144.
G. Misiolek, The exponential map on the free loop space is Fredholm, GAFA, Geom. funct. anal. 7 (1997), 954-969.
G. Misiolek, Conjugate points in D_µ(T^2), Proc. Amer. Math. Soc. 124 (1996), 977-982.