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
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)
Links to some 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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