Curriculum Vitae

cv.pdf

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).

Thesis

Master thesis Phd thesis