Research interests:

• Nonlineal functional analysis
• Differentiability and geometry of Banach spaces
• Global analysis in manifolds

Main recent publications:

• J. A. Jaramillo, M. Jiménez-Sevilla, and L. Sánchez-González: Characterization of a Banach-Finsler manifold in terms of the algebras of smooth functions, preprint.
• M. Jiménez-Sevilla and L. Sánchez-González: On some problems on smooth approximation and smooth extension of Lipschitz functions on Banach-Finsler manifolds, Nonlinear Analysis: TMA, 74 (2011), 3487-3500.
• M. Jiménez-Sevilla and L. Sánchez-González: Smooth extension of functions on a certain class of non-separable Banach spaces, J. Math. Anal. Appl., 378 (2011), 173-183.
• M. Jiménez-Sevilla and L. Sánchez-González: LFC bumps on separable Banach spaces, J. Math. Anal. Appl., 365 (2010), 315-319