Research
Research interests: Algebraic and Hodge cycles. Moduli spaces and period map. Algebraicity, modularity and differential equations of periods.
Articles
A. P. Braun, H. Fortin, D. López Garcia, R. Villaflor Loyola, More on G-flux and general Hodge cycles on the Fermat sextic, J. High Energy Phys., in press
J. Duque Franco, R. Villaflor Loyola, Periods of join algebraic cycles, arXiv:2312.17222
R. Villaflor Loyola, Toric differential forms and periods of complete intersections, J. Algebra, 643: 86-118, 2024
V. González-Aguilera, A. Liendo, P. Montero, R. Villaflor Loyola, On a Torelli principle for automorphisms of Klein hypersurfaces, Trans. Am. Math. Soc., in press
J. Duque Franco, R. Villaflor Loyola, On fake linear cycles inside Fermat varieties, Algebra Number Theory, 17(10): 1847-1865, 2023
J. Cao, H. Movasati, R. Villaflor Loyola, Gauss-Manin connection in disguise: Quasi Jacobi forms of index zero, Int. Math. Res. Not., 2024(08): 6680-6709, 2024
R. Villaflor Loyola, Small codimension components of the Hodge locus containing the Fermat variety, Commun. Contemp. Math., 24(07): 2150053, 2022
R. Villaflor Loyola, Periods of complete intersection algebraic cycles, Manuscr. Math., 167(3-4): 765-792, 2022
E. Aljovin, H. Movasati, R. Villaflor Loyola, Integral Hodge conjecture for Fermat varieties, J. Symb. Comput., 94: 177-184, 2019
H. Movasati, R. Villaflor Loyola, Periods of linear algebraic cycles, Pure Appl. Math. Q., 14(3-4): 563-577, 2018
Book
A Course in Hodge Theory: Periods of Algebraic Cycles (with H. Movasati), 33° Colóquio Brasileiro de Matemática (2021)
Thesis
Periods of Algebraic Cycles. 19.03.19. IMPA. Slides.