Department of Mathematics
Florida State University
office: 111 Love Building
About me: I am currently an assistant professor at Florida State University. Previously I was a PostDoc at the University of Vienna, where I completed my PhD under the supervison of Peter W. Michor. My research lies within the the field of infinite dimensional Riemannian geometry. In particular I am interested in the study of manifolds of mappings, shape spaces and diffeomorphism groups. More information about my research can be found on my google.scholar profile and here.
M. Bauer, S. Joshi, K. Modin.
On Geodesic Completeness for Riemannian Metrics on Smooth Probability Densities.
Calculus of Variations and Partial Differential Equations, (2017) 56:113, 2017.
M. Bauer, B. Kolev and S. Preston.
Geometric investigations of a vorticity model equation.
Journal of Differential Equations, (1), 260 (2016), Pages 478–516.
M. Bauer, J. Escher and B. Kolev.
Local and Global Well-posedness of the fractional order EPDiff equation on R^d.
Journal of Differential Equations (6) 258 (2015), p. 2010-2053.
M. Bauer, M. Bruveris, P. W. Michor.
Overview of the geometries of shape spaces and diffeomorphism
J. Math. Imaging Vis.,
50(1-2), 60-97, 2014.
M. Bauer, P. Harms and P. W. Michor.
Sobolev metrics on the manifold of all Riemannian metrics.
Journal of Differential Geometry 94, 2 (2013), 187-208.