Geometric Analysis on Real Analytic Manifolds

​Prof.  Andrew Lewis received his  Doctorate in Applied Mechanics in 1995 from the California Institute of Technology. From 1996-1998 he was a Postdoctoral Fellow in the Mathematics Institute at the University of Warwick. In 1998, he joined the Department of Mathematics and Statistics at Queen's University, and has remained there till the present. He became Associate Professor in 2004 and Full Professor in 2014.He has published in the areas of geometric control theory, geometric mechanics, and geometric functional analysis. He has  published three books: (1) Geometric Control of Mechanical Systems (with F. Bullo, Springer Texts in Applied Mathematics, 2004); (2) Time-Varying Vector Fields and Their Flows (with S. Jafarpoour, Springer Briefs in Mathematics, 2014); and (3) Tautological Control Systems (Springer Briefs in Control, 2014).

• - 1. Notation and Background. - 2. Topology for Spaces of Real Analytic Sections and Mappings. - 3. Geometry: Lifts and Differentiation of Tensors. - 4. Analysis: Norm Estimates for Derivatives. - 5. Continuity of Some Standard Geometric Operations.