I am Assistant Professor at Universidad Técnica Federico Santa María (UTFSM) in Valparaíso - Chile. I work in Algebraic Geometry with emphasis in Hodge Theory.
Contact: roberto.villaflor[at]usm.cl
CV, Google Scholar, ORCID and ArXiv.
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Publications
Publications
Lengths of Hodge characters in Fermat varieties (w/ M. Miranda, H. Movasati, L. Rufino), preprint, 2026.
More on G-flux and general Hodge cycles on the Fermat sextic (w/ A. P. Braun, H. Fortin, D. López Garcia), J. High Energy Phys., 2024(46), 2024.
Periods of join algebraic cycles (w/ J. Duque Franco), Ann. Sc. Norm. Super. Pisa Cl. Sci., in press. (2025)
Toric differential forms and periods of complete intersections, J. Algebra, 643: 86-118, 2024.
On a Torelli principle for automorphisms of Klein hypersurfaces (w/ V. González-Aguilera, A. Liendo, P. Montero), Trans. Amer. Math. Soc., 377(8): 5483-5511, 2024.
On fake linear cycles inside Fermat varieties (w/ J. Duque Franco), Algebra Number Theory, 17(10): 1847-1865, 2023.
Gauss-Manin connection in disguise: Quasi Jacobi forms of index zero (w/ J. Cao, H. Movasati), Int. Math. Res. Not., 2024(08):6680-6709, 2024. (2023)
A course in Hodge theory: Periods of algebraic cycles (book w/ H. Movasati), 33° Colóq. Bras. Mat., 2021.
Small codimension components of the Hodge locus containing the Fermat variety, Commun. Contemp. Math., 24(07): 2150053, 2022. (2021)
Periods of complete intersection algebraic cycles, Manuscripta Math., 167(3-4): 765-792, 2022. (2021)
Integral Hodge conjecture for Fermat varieties (w/ E. Aljovin, H. Movasati), J. Symbolic Comput., 95: 177-184, 2019.
Periods of linear algebraic cycles (w/ H. Movasati), Pure Appl. Math. Q., 14(3-4): 563-577, 2018. (2019)
Upcoming activities
Jornada Santas-AGV. 13 de Noviembre, UTFSM, Valparaíso.
Jornadas de Geometría Algebraica. 25 al 27 de Noviembre, CIMAT, Guanajuato.
XCIV Encuentro Anual SOMACHI. 15 al 18 de Diciembre, PUC, Santiago.
Links to other local and online activities
AGREGA. Chile.
Seminario DMAT (Casa Central). UTFSM, Valparaíso.
AGV: "Seminario Artimética y Geometría en Valparaíso". PUCV-UTFSM-UV, Valparaíso.
SGA: "Seminario de Geometría Algebraica". PUC, Santiago.
SaNTAS: "Santiago Number Theory and Algebra Seminar". PUC-UChile-USACH, Santiago.
GADEPs: "Geometry, Arithmetic and Differential Equations of Periods seminar". IMPA.
Seminario Nacional de Geometría Algebraica (en línea). UNAM-CIMAT.
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