 Edificio Rolando Chuaqui Campus San Joaquín Avenida Vicuña Mackenna 4860, Macul Santiago, Chile E-mail: ias.efraimidis@gmail.com (iason.efraimidis@mat.uc.cl will expire soon) Teaching 2014/15: Mathematics for freshmen, Department of Chemistry, UAM (problem solving seminar) (information) 2015/16: Differential Equations for sophomores, Department of Mathematics, UAM (problem solving seminar) (information) 2016/17: Differential Equations for sophomores, Department of Mathematics, UAM (problem solving seminar) (information) 2018, 1st semester: Complex Variables, Masters program, Faculty of Mathematics, PUC (problem solving seminar) (information) 2018, 2nd semester: Problem solving seminar, Ph.D. program, preparation for the qualification exam, Faculty of Mathematics, PUC (information) 2019, 1st semester: Precalculus for freshmen, College, PUC Calculus I for freshmen, Faculty of Economics and Management, PUC 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, several complex variables 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) (with M. Chuaqui) A class of Weierstrass-Enneper lifts of harmonic mappings, Comput. Methods Funct. Theory 19 (2019), no. 2, 237-251 (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, Aristotle University of Thessaloniki, Greece, March 26, 2013
Variational methods for coefficient problems, Analysis Seminar, 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 On Livingston's coefficient inequalities for functions with positive real part, 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 The harmonic inner radius, Seminario de Análisis Complejo, Pontificia Universidad Católica de Chile, Santiago, December 12, 2018 The Schwarzian derivative and the harmonic inner radius, Analysis Winter Meeting, Aristotle University of Thessaloniki, Greece, December 21, 2018 Schwarzian derivatives in several complex variables, Analysis Seminar, Aristotle University of Thessaloniki, Greece, February 7, 2019 Criteria for univalence and quasiconformal extension for harmonic mappings, Complex Analysis Seminar, Universidad Autónoma de Madrid, Spain, February 22, 2019 On shears of univalent harmonic mappings, Seminario de Análisis Complejo, Pontificia Universidad Católica de Chile, Santiago, March 27, 2019 Criteria for univalence and quasiconformal extension for harmonic mappings, Summer Meeting of Young Researchers in Mathematics, University of Athens, Greece, July 17, 2019 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. Reviewer for Mathematical Reviews (MathSciNet). Referee for the following journals: - Analysis and Mathematical Physics - 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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