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. My research is currently supported by the National Science Foundation (DMS-1912037, 2019-2022 and DMS-1953244, 2020-2023). More information about my research and a complete list of publications can be found on my google.scholar profile and here.
M. Bauer, P. Harms, S. Preston.
Vanishing distance phenomena and the geometric approach to SQG.
Arch Rational Mech Anal, 235, 1445–1466 (2020).
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, 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.