 Edificio Rolando Chuaqui Campus San Joaquín Avenida Vicuña Mackenna 4860, Macul Santiago, Chile Office: 133 Phone: (+56) 2 2354 1021
E-mail: ias.efraimidis@gmail.com and iason.efraimidis@mat.uc.cl Teaching (Docencia) 2014/15: Mathematics for first year students, Department of Chemistry (problem solving seminar). (información) 2015/16: Differential Equations for second year students, Department of Mathematics (problem solving seminar). (información) 2016/17: Differential Equations for second year students, Department of Mathematics (problem solving seminar). (información) 2018, primer semestre: Variable Compleja, Magister (clase de ayudantía). (información) 2018, segundo semestre: Seminario de Problemas, alumnos de 1er año de postgrado, preparación para el Examen de Calificación Education
B. Sc. in Mathematics, Department of Mathematics, Aristotle University of Thessaloniki, Greece, 2004-2009. M. Sc. in Mathematics, Department of Mathematics, Aristotle University of Thessaloniki, Greece, 2009-2011 (advisor: Prof. Dimitrios Betsakos). Ph.D. in Mathematics, Department of Mathematics, Universidad Autónoma de Madrid, Spain, 2012-2017, (advisor: Prof. Dragan Vukotić). Research I'm interested in Complex Analysis and Geometric Function Theory: extremal problems for holomorphic or harmonic mappings, variational methods for univalent functions, the Schwarzian derivative and, also, in some spaces of holomorphic functions.
I belong to the research project "Inequalities and operators in real and complex analysis". (site of the project)
Publications A generalization of Livingston’s coefficient inequalities for functions with positive real part, J. Math. Anal. Appl. 435 (2016), 369-379. (arXiv:1506.07111) (with J. Gaona, R. Hernández and O. Venegas) On harmonic Bloch-type mappings, Complex Var. Elliptic Equ. 62 (2017), no. 8, 1081-1092. (arXiv:1607.04626) (with D.Vukotic) Applications of Livingston-type inequalities to the generalized Zalcman functional, Math. Nachr. 291 (2018), no.10, 1502-1513. (arXiv:1611.00682) On the failure of Bombieri's conjecture for univalent functions, Comput. Methods Funct. Theory 18 (2018), no. 3, 427-438. (arXiv: 1612.07242) (with C. Pastor) Some more counterexamples for Bombieri's conjecture on univalent functions, J. Korean Math. Soc. 55 (2018), no. 6, pp. 1485-1498. (arXiv:1710.10462) Preprints (with M. Chuaqui) A class of Weierstrass-Enneper lifts of harmonic mappings (arXiv:1804.07413) Talks
Variations of Schwarz lemma, Workshop on Complex Analysis and Applications, Belgrade, Serbia, February 27-28, 2012.
Variational methods for coefficient problems, Analysis Seminar, Mathematics Department, Aristotle University of Thessaloniki, Greece, March 26, 2013.
Variational methods for coefficient problems, Analysis Seminar, Mathematics Department, Turku University, Finland, August 28, 2013.
Zalcman's conjecture for univalent functions, Workshop of Young Researchers in Mathematics, Complutense University of Madrid, Spain, September 22-24, 2014.
A coefficient inequality for functions with positive real part, Mathematics Research Seminar, University of Eastern Finland, Joensuu, November 7, 2014.
Livingston’s inequalities for functions with positive real part, generalizations and applications, Analysis Summer Meeting, Aristotle University of Thessaloniki, Greece, June 25-26, 2015. Sobre las desigualdades de Livingston para los coeficientes de las funciones con la parte real positiva, Complex Analysis Seminar, Universidad Autónoma de Madrid, Spain, July 17, 2015. Coefficient inequalities in the Carathéodory class of functions, Workshop on Complex Analysis and Operator Theory, Málaga, Spain, June 19-24, 2016. Sobre las funciones armónicas de tipo Bloch, Complex Analysis Seminar, Universidad Autónoma de Madrid, Spain, October 27, 2016. On Bombieri's conjecture for univalent functions, Complex Analysis Seminar, Universidad Autónoma de Madrid, Spain, December 21, 2016. On Bombieri's conjecture for univalent functions, Mini Workshop, Pontificia Universidad Católica de Chile, Santiago, January 19, 2017. Two conjectures on the coefficients of univalent functions, Complex Analysis Seminar, Universidad Autónoma de Madrid, Spain, May 31, 2017. Coefficient problems in geometric function theory, thesis defense, Universidad Autónoma de Madrid, Spain, June 16, 2017. On Bombieri's conjecture for univalent functions, CMFT International Conference, Lublin, Poland, July 13, 2017. La desigualdad isoperimétrica, Club de Matemática, Pontificia Universidad Católica de Chile, Santiago, April 6, 2018. A class of Weierstrass-Enneper lifts of harmonic mappings, XXXI Jornada de Matemática de la Zona Sur, Valdivia, Chile, April 26, 2018. Poster Sessions A generalization of Livingston’s coefficient inequalities for functions with positive real part, Normal Families in Complex Analysis, Würzburg, Germany, May 22-29, 2015. (PDF) Other service Organizer for the Junior Seminar (UAM-ICMAT) for the doctoral students of Universidad Autónoma de Madrid, 2016-17. Organizer for the conference "New Developments in Complex Analysis and Function Theory", July 2-6, 2018, Department of Mathematics and Applied Mathematics, University of Crete, Heraklion, Greece. Referee for the following journals: - Canadian Mathematical Bulletin - Journal of Mathematical Analysis - Journal of Pure and Applied Mathematics: Advances and Applications - Matematički Vesnik - Mathematische Nachrichten - Results in Mathematics Doctoral Thesis Coefficient Problems in Geometric Function Theory (thesis) Master Thesis
The hyperbolic metric and an application to growth estimates for holomorphic functions Links
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