Martin Bauer

Associate Professor
Department of Mathematics
Florida State University
office: 422 Love Building
mail: bauer@math.fsu.edu

About me: I am currently Associate 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-2324962, 2023-2026 and DMS-1953244, 2020-2023) and by Binational Science Foundation (BSF 2023-2026). More information about my research and a complete list of publications can be found on my google.scholar profile and here.

Selected Publications:

1. M. Bauer, M. Bruveris, P. Harms, P. Michor. Smooth perturbations of the functional calculus and applications to Riemannian geometry on spaces of metrics. Communications in Mathematical Physics, (2022): 1-33.
   arXiv:1810.03169.
2. M. Bauer, P. Harms, S. Preston. Vanishing distance phenomena and the geometric approach to SQG. Arch Rational Mech Anal, 235, 1445–1466 (2020).
   doi:10.1007/s00205-019-01449-7, arXiv:1805.04401.
3. 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.
   doi:10.1007/s00526-017-1195-8, arXiv:1702.08870.
4. 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.
   doi:10.1016/j.jde.2014.11.021, arXiv:1411.4081
5. 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.
   Euclid, arXiv:1102.3347