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Ana Granados, Ph.D.

Department of Mathematics

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Education

Ph.D. Mathematics, Universidad Aut贸noma de Madrid (Spain)
M.S. Mathematics, Universidad Aut贸noma de Madrid (Spain)

Practice Areas

• Complex Analysis
• Geometric Function Theory

Publications and Media Placements

Y. Quintana, A. Granados y A. Portilla, 驴Y si en las elecciones generales cont谩ramos los votos como los suecos?, The conversation (2023).

J.M. Rodr铆guez, A. Portilla y A. Granados, 驴Por qu茅 lo llaman estad铆stica 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. M茅ndez-Berm煤dez, 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. Rodr铆guez 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. Rodr铆guez, E. Touris. Stability of the volume growth rate under quasi-isometries.  Revista Matem谩tica Complutense (2019) 1-40.

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

A. Granados, A. Portilla, La vacuna solidaria: las matem谩ticas demuestran que 93=100%, El Esc茅ptico: la revista para el fomento de la raz贸n y la ciencia 51, Invierno 2019.

A. Granados, A. Portilla, La funci贸n exponencial planta cara a la homeopat铆a,  Revista SUMA 93 (2019).

A. Granados, D. Pestana, A. Portilla, J.M. Rodr铆guez, E. Touris. Stability on the Injectivity Radius under Quasi-isometries and Applications to Isoperimetric Inequalities.  Revista de la Real Academia de Ciencias Exactas, F铆sicas y Naturales. Serie A. Matem谩ticas 112(4) (2018), 1225-1247.

A. Portilla, A. Granados La homeopat铆a suspende matem谩ticas.  The Conversation; P煤blico; Cadena Ser (2018).

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

A. Cant贸n, A. Granados, A. Portilla, J. M. Rodr铆guez. Quasi-isometries and isoperimetric inequalities in planar domains. Journal of the Mathematical Society of Japan 67, Number 1 (2015), 127-157.

A. Cant贸n, A. Granados, D. Pestana, J. M. Rodr铆guez. Gromov hyperbolicity of periodic graphs. Bull. Malays. Math. Sci. Soc. (2016) 39(Suppl 1): 89.

A. Cant贸n, A. Granados, D. Pestana, J. M. Rodr铆guez. Gromov hyperbolicity of periodic planar graphs. Acta Mathematica Sinica, 30 (2014), 79-90.

A. Cant贸n, A. Granados, A. Portilla, J. M. Rodr铆guez. 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. Cant贸n, A. Granados, D. Pestana, J. M. Rodr铆guez. Gromov hyperbolicity of planar graphs. Cent. Eur. J. Math 11 (10) 2013, pp. 1817-1830.

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

A. Cant贸n, 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. Cant贸n, 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. Cant贸n, 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. Fern谩ndez, A. Granados, On geodesic curvature and conformal mapping, St. Petersburgh Math. J., Vol.9, No. 3, 1998, 615-637.

A. Cant贸n, A. Granados, Encuentro regional de Matem谩ticas 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 Est铆mulo del Talento Matem谩tico). Universidad Complutense (Madrid). From February 2006 on. []

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.