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Ana Granados, Ph.D.

Department of Mathematics


Education

Ph.D. Mathematics, Universidad Autónoma de Madrid (Spain)
M.S. Mathematics, Universidad Autónoma de Madrid (Spain)

Practice Areas

  • Complex Analysis
  • Geometric Function Theory

Publications and Media Placements

Y. Quintana, A. Granados y A. Portilla, ¿Y si en las elecciones generales contáramos los votos como los suecos?, The conversation (2023).

J.M. Rodríguez, A. Portilla y A. Granados, ¿Por qué lo llaman estadística cuando quieren decir sesgo?, The conversation; BBC News mundo; El Economista, (2023).

A. Granados, D. Pestana, A. Portilla, J.M. Rodriguez and E. Touris, Liouville property and quasi-isometries on negatively curved Riemannian surfaces, Proc. R. Soc. Edinb. Section A Math. (2023), 1-23.

Carballosa, A. Granados, J.A. Méndez-Bermúdez, D. Pestana, A. Portilla, Computational properties of the arithmetic-geometric index, Journal of Mathematical Chemistry, 60 (2022): 1854-1871.

Granados, D. Pestana, A. Portilla, J.M. Rodriguez, Stability of p-parabolicity under quasi-isometries, Mathematische Nachrichten (2022).

A. Granados, A. Portilla, J.M. Rodríguez and J.M. Sigarreta, Inequalities on the Geometric-Arithmetic Index, Hacettepe Journal of Mathematics and Statistics 50(3) 778-794 (2021)

A. Granados, D. Pestana, A. Portilla, J. M. Rodríguez, E. Touris. Stability of the volume growth rate under quasi-isometries.  Revista Matemática Complutense (2019) 1-40.

W. Carballosa, A. Granados, D. Pestana, A. Portilla, J. M. Rodríguez, J. M. Sigarreta. Relations between some topological índices and the line graph.  Journal of Mathematical Chemistry 58(3) (2019) 1-15.

A. Granados, A. Portilla, La vacuna solidaria: las matemáticas demuestran que 93=100%, El Escéptico: la revista para el fomento de la razón y la ciencia 51, Invierno 2019.

A. Granados, A. Portilla, La función exponencial planta cara a la homeopatía,  Revista SUMA 93 (2019).

A. Granados, D. Pestana, A. Portilla, J.M. Rodríguez, E. Touris. Stability on the Injectivity Radius under Quasi-isometries and Applications to Isoperimetric Inequalities.  Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 112(4) (2018), 1225-1247.

A. Portilla, A. Granados La homeopatía suspende matemáticas.  The Conversation; Público; Cadena Ser (2018).

A. Granados, D. Pestana, A. Portilla, J. M. Rodríguez. Gromov hyperbolicity in Mycielskian graphs. Symetry (2017), 9(8), 131.

A. Cantón, A. Granados, A. Portilla, J. M. Rodríguez. Quasi-isometries and isoperimetric inequalities in planar domains. Journal of the Mathematical Society of Japan 67, Number 1 (2015), 127-157.

A. Cantón, A. Granados, D. Pestana, J. M. Rodríguez. Gromov hyperbolicity of periodic graphs. Bull. Malays. Math. Sci. Soc. (2016) 39(Suppl 1): 89.

A. Cantón, A. Granados, D. Pestana, J. M. Rodríguez. Gromov hyperbolicity of periodic planar graphs. Acta Mathematica Sinica, 30 (2014), 79-90.

A. Cantón, A. Granados, A. Portilla, J. M. Rodríguez. Isoperimetric inequalities in graphs and surfaces. Electronic notes in Discrete Mathematics. Sept 2014 (Vol : 46) pp. 257-264. DOI: 10.1016/j.endm.2014.08.034

A. Cantón, A. Granados, D. Pestana, J. M. Rodríguez. Gromov hyperbolicity of planar graphs. Cent. Eur. J. Math 11 (10) 2013, pp. 1817-1830.

A. Granados, J. M. Rodríguez, J.M. Sigarreta. Pythagorean relations in Jordan measurable sets. Advances and Applications in Mathematical Sciences, 12(1) 2012, pp. 19-27.

A. Cantón, D. Drasin, A. Granados. Asymptotic values of meromorphic functions of finite order. Indiana University Math. J., 59 2010, pp. 1057-1086.

J. Stumper, H. Haas, A. Granados, In Situ Determination of MEA Resistance and Electrode Diffusivity of a Fuel Cell. J. of the Electrochemical Society 152 2005, A837-A844.

A. Cantón, A. Granados, Ch. Pommerenke, Borel images and analytic functions. Michigan Math. J. 52 2004, 279-287.

A. Granados, A theorem of Hayman-Wu on simply connected Riemannian manifolds. Illinois J.Math.47 2003, 1167-1176.

A. Cantón, A. Granados, Ch. Pommerenke, Conformal images of Borel sets. Bull. London Math. Soc. 35 2003, 479483.

A. Granados, On a problem raised by Gabriel and Beurling, Michigan Math. J., Vol. 46, 1999, 461-487.

J.L. Fernández, A. Granados, On geodesic curvature and conformal mapping, St. Petersburgh Math. J., Vol.9, No. 3, 1998, 615-637.

A. Cantón, A. Granados, Encuentro regional de Matemáticas e Industria organizado por el SIAM, La Gaceta de la RSME, Vol.3 n.3, 2000, 385-392.

Professional Organizations and Associations

Teacher at Estalmat, Program to develop math talent (Programa Estímulo del Talento Matemático). Universidad Complutense (Madrid). From February 2006 on. [More information]

International stays

  • Seattle University, Fall 2016.
  • University of British Columbia, Vancouver, BC (Canada). Postdoctoral Stay. Sept. 2002-Aug. 2003.
  • University of Washington, Seattle, WA. Fulbright Postdoctoral Fellow. July 2000-Aug. 2002.
  • University of Washington, Seattle, WA. Visiting Scholar. Sept. 1999-June 2000.
  • Purdue University, West Lafayette, IN (6 weeks), 1999.
  • University of Columbus, Columbus, OH (20 weeks), 1994.