Navigation

Florent BAUDIER, Visiting Assistant Professor

Office: Blocker 509A florent[AT] math.tamu.edu CV.pdf

Research Interests

• Metric Geometry (embeddings of graphs, groups and general metric spaces, geometric properties of metric spaces...)
• Nonlinear Banach Space Theory (nonlinear geometry, Lipschitz/uniform/coarse classification, Ribe Program, differentiability...)
• Classical Banach Space Theory
• Quantitative Metric Geometry (low distortion embeddings of finite metric spaces, probabilistic methods...)
• Applications of the above to Theoretical Computer Science and Geometric Group Theory

Publications

• F. Albiac and F. Baudier, Embeddability of snowflaked metrics with applications to the nonlinear geometry of the spaces Lp and lp for 0<p<∞, to appear in Journal of Geometric Analysis.
• F. Baudier, Embeddings of proper metric spaces into Banach spaces, Houston J. Math. 38 (2012), no. 1, 209-223.
• F. Baudier, N. J. Kalton and G. Lancien, A new metric invariant for Banach spaces, Studia Math. 199 (2010), no. 1, 73-94.
• F. Baudier and G. Lancien, Embeddings of locally finite metric spaces into Banach spaces, Proc. Amer. Math. Soc. 136 (2008),1029-1033.
• F. Baudier, Metrical characterization of super-reflexivity and linear type of Banach spaces, Archiv Math. 89 (2007), 419-429.

Pre-prints

• F. Baudier, Quantitative nonlinear embeddings into Lebesgue sequence spaces, submitted for publication.
• F. Baudier, A topological obstruction to small-distortion embeddability into spaces of continous functions, preprint.