- Geometrical methods in Differential Equations and Mathematical Physics: Transport equation, hyperbolic PDE’s
- Computational Geometry
- Artificial Intelligence: Deep Learning
- Stochastic Simulation (Diffusion processes and Oil Reservoirs)
- C. Valero. Maxwell’s Equations, The Euler Index and Morse Theory. Mathematical Notes, Springer, Volume 100, Issue 3, pp 352–362 or Mat. Zametki, 2016, Volume 100, Issue 3, Pages 331–343. DOI:10.4213/mzm10887
- C. Valero. Effective diffusion in the region between two surfaces. Physical Review E 94, 022121 (2016). DOI:10.1103/PhysRevE.94.022121
- C. Valero. Effective diffusion on Riemannian fiber bundles. Journal of Mathematical Physics 56, 023507 (2015). DOI:10.1063/1.4907984
- C. Valero & R. Herrera. A Fick-Jacobs equation for channels over 3D curves. Physical Review E 90, 052141 (2014). DOI : 10.1103/PhysRevE.90.052141
- C. Valero & R. Herrera. Projecting diffusion along the normal bundle of a plane curve. Journal of Mathematical Physics 55, 053509 (2014). DOI:10.1063/1.4875106
- C. Valero. Efficient Surface Triangulation using the Gauss Map. International Journal of Computer Mathematics. Vol. 90, Issue 13, (2013), no 7, 1381-1396. DOI:10.1080/00207160.2013.764993
- C. Valero. Morse Theory for the Eigenvalue Functions of Symmetric Tensors. Journal of Topology and Analysis, Vol.1 (2009), No. 4, 417-429. DOI:10.1142/S1793525309000199
- R. Muciño and C. Valero. Geometry and Dynamics of the Residue Theorem. Morfismos. 5 (2001), 1. PDF
- R. Muciño and C. Valero. Bifurcations of Meromorphic Vector Fields on the Riemann Sphere. Ergodic Theory and Dynamical Systems. 15 (1995), 1211-1222. DOI:10.1017/S0143385700009883