Preprints
Compatibility of Hodge Theory on Alexander Modules (with Moisés Herradón Cueto)
arXiv: 2401.01209
Hodge Theory of Abelian Covers (with Moisés Herradón Cueto)
arXiv: 2401.00489
On the topology of fiber-type curves: a Zariski pair of affine nodal curves (with José Ignacio Cogolludo-Agustín)
arXiv: 2306.07359
Quasi-projective varieties whose fundamental group is a free product of cyclic groups (with José Ignacio Cogolludo-Agustín)
arXiv: 2210.17282
Publications
Mixed Hodge Structures on Alexander Modules (with Christian Geske, Moisés Herradón Cueto, Laurenţiu Maxim and Botong Wang).
Mem. Amer. Math. Soc., Volume 296, Number 1479, 2024. DOI: 10.1090/memo/1479
Vanishing of Higher Order Alexander-type Invariants of Plane Curves (with José Ignacio Cogolludo-Agustín)
Math. Nachr., Volume 296, Issue 3, 2023, pages 1026-1040. DOI:10.1002/mana.202100610
Eigenspace Decomposition of Mixed Hodge Structures on Alexander Modules (with Moisés Herradón Cueto)
Int. Math. Res. Not. IMRN, Volume 2023, Issue 17, August 2023, Pages 14890-14928. DOI: 10.1093/imrn/rnac241
Alexander modules, Mellin transformation and variations of mixed Hodge structures (with Moisés Herradón Cueto, Laurenţiu Maxim and Botong Wang).
Adv. Math. Volume 411, Part A (2022), DOI: 10.1016/j.aim.2022.108798
Hodge Theory on Alexander Invariants -- a survey (with Christian Geske, Moisés Herradón Cueto, Laurenţiu Maxim and Botong Wang).
Topology Appl. 313 (2022), art. no. 107981 . DOI:10.1016/j.topol.2021.107981
Twisted Alexander Modules of Hyperplane Arrangement Complements
Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 115 (2021), no. 2, Paper No. 70, DOI :10.1007/s13398-021-01008-4
On a conjecture of Teissier: the case of log canonical thresholds (with Mircea Mustaţă).
Mat. Sb. 212, no. 3 (2021), 175-192; DOI: 10.4213/sm9442 (Russian), 10.1070/SM9442 (English)
Higher Order Degrees of Affine Plane Curve Complements (with Laurenţiu Maxim)
Indiana Univ. Math. J. 70 (2021), no. 1, 179-211, DOI: 10.1512/iumj.2021.70.8297
On the signed Euler characteristic property for subvarieties of abelian varieties (with Christian Geske and Laurenţiu Maxim)
J. Singul. 17 (2018), 368-387; DOI: 10.5427/jsing.2018.17p
Outreach Publications
El Problema de "Doblar y Un Solo Corte" (The "Fold and One Cut" Problem)
Matgazine 4 (2013), 33-57, ISSN: 2174-503 X.
Desafíos Matemáticos (propuestos por la Real Sociedad Matemática Española en su centenario)
Colección Biblioteca Estímulos Matemáticos, RSME y Ediciones SM (2012), 107--110, ISBN: 974-84-675-5778-7.
I'm one of 60 coauthors of this book, which is a collection of mathematical challenges that the Royal Spanish Mathematical Society did to celebrate its 100th anniversary, coordinated by Adolfo Quirós. In particular, Sofía Nieto and I wrote "Partículas en Movimiento" ("Particles in motion") pages 107 to 110 of the book. The part we wrote together is based on the script I wrote for the mathematical challenges of the Spanish newspaper "El País", that Sofía Nieto explained in this video, and gave the solution to in this other video.
ISBN: 974-84-675-5778-7
