Curriculum Vitae
Research
Research Intersts
- Differential Geometry
- Riemannian Geometry
- Minimal Submainfolds
- Controlled Mean Curvature Submanifolds
- Geometry of Quantum States
Accepted Papers
- QOptCraft: A Python package for the design and study of linear optical quantum systems Aguado, D.G., Gimeno, V., Moyano-Fernández, J.J., Garcia-Escartin, J.C. (2023) Computer Physics Communications, 282, art. no. 108511.
- Geometric approach to non-relativistic Quantum Dynamics of mixed states (With J. Sotoca). Accepted in Journal of Mathematical Physics (2013) [arXiv: 1302.1333]
- Volume Growth, Number of Ends and the Topology of a Complete Submanifold (With V. Palmer). Accepted in JGEA (2011)[arXiv.org: 1112.4042]
- Volume growth of submanifolds and the Cheeger Isoperimetric Constant (With V. Palmer). Accepted in PAMS (2011)[arXiv: 1104.5625]
- Extrinsic isoperimetry and compactification of minimal surfaces in Euclidean and Hyperbolic spaces Gimeno, V., Palmer, V. Israel Journal of Mathematics, 2013, 194(2), pp. 539–553 [arXiv: 1011.5380]
Prepints
- On the fundamental tone of minimal submanifolds with controlled extrinsic curvature [arXiv: 1301.1148]
In Preparation
- Jellet theorem revisited.
- Ends and fundamental tones of minimal submanifolds via extrinsic comparison theory (With Steen Markvorsen).
- Number of ends and Cheeger isoperimetric constant (With Vicente Palmer).