Papers and Preprints

11.- (With J. Navarro): The Riemann-Roch theorem for the Adams operations. To appear in Expositiones Math., vol. 41, iss. 4. (2023) (Non-updated) Preprint on arXiv.

10.- On the higher Riemann-Roch without denominators. Submitted. (Non updated) Preprint on arXiv

9.- (With J. Navarro) On the Riemann-Roch formula without projective assumptions. Trans. Amer. Math. Soc. 374, 755-772. (2021) (Non-updated) Preprint on arXiv.

8.- (With J. Navarro and I. Ojeda): Commutative monoids and their corresponding affine k-schemes.  Semigroup Forum, 101(2), 421-434. (2020)

7.- (With J. Navarro and C. Tejero): Natural operations on holomorphic forms. Archivum Math. (Brno). vol 54, iss 4, 239-254. (2018) Preprint on arXiv.

6.- Riemann-Roch for homotopy invariant K-theory and Gysin morphisms. Advances in Math. Vol 328, 13, 501-554. (2018) (Non-updated) Preprint on arXiv.

5.- On Grothendieck's Riemann-Roch theorem. Expositiones Math Vol 35, Iss 3, 326-342. (2017) (Non-updated) Preprint on arXiv.

4.- The Riemann-Roch theorem and Gysin morphism in arithmetic geometry. (2016) PhD dissertation.

3.- (With J. Navarro): On the uniqueness of the Gauss-Bonnet-Chern formula (after Gilkey-Park-Sekigawa).  J. of Geom. & Phys, vol. 101 65-70 (2016) Preprint on arXiv

2.- (With J. Navarro): Dimensional Curvature Identities on pseudo-Riemannian geometry. J. of Geom. & Phys, vol. 86 554-563 (2014) Preprint on arXiv

1.- (With J. Navarro): Lovelock’s theorem revisited. J. of Geom. & Phys, vol. 61 (10) 1950-1956 (2011) Preprint on arXiv

Other mathematical texts

• (With J. Navarro): Automorphisms of classical geometries in the sense of Klein. (2009) arXiv:0901.3928v1

• Vladimir Voevodsky, Medalla Fields 2002. La Gaceta de la RSME,  vol 24, nº 3, 623-643  (2021) (Spanish)