Iason Efraimidis
Current Address:
Universidad Autónoma de Madrid
28049 Madrid
Spain
Office: 17-508
Phone: 91 497 2463
E-mail: iason.efraimidis@uam.es
Teaching
2014/15: Mathematics, Department of Chemistry, UAM (problem solving seminar) (information)
2015/16: Differential Equations, Department of Mathematics, UAM (problem solving seminar) (information)
2016/17: Differential Equations, Department of Mathematics, UAM (problem solving seminar) (information)
2018, 1st semester: Complex Variables, Master's program, Faculty of Mathematics, UC (problem solving seminar) (information)
2018, 2nd semester: Problem solving seminar, Ph.D. program, preparation for the qualification exam, Faculty of Mathematics, UC (information)
2019, 1st semester: Precalculus, College, UC
Calculus I, Faculty of Economics and Management, UC
2019, fall semester, Calculus I with Applications (Math1451), TTU (information)
2020, spring semester, Calculus III with Applications (Math2450), TTU
2020, fall semester, Calculus III with Applications (Math2450), TTU (download our Syllabus)
2021, spring semester, Calculus III with Applications (Math2450), TTU
2021, fall semester, Calculus III with Applications (Math2450), TTU
2023, spring semester, Variable Compleja I, Doble Grado Matemáticas-Informática, UAM
2023, fall semester, Matemáticas, Grado en Ciencias Ambientales, UAM
2024, spring semester, Variable Compleja I, Grado de Matemáticas, UAM
Employment
Post Doc, Facultad de Matemáticas, Pontificia Universidad Católica de Chile, Sep. 2017 - Dec. 2018 (supervisor: Prof. Martin Chuaqui)
Adjunct Professor, Facultad de Matemáticas, Pontificia Universidad Católica de Chile, Mar. 2019 - Jul. 2019
Post Doc, Department of Mathematics and Statistics, Texas Tech University, Sep. 2019 - Dec. 2021 (superdvisors: Profs. Alexander Yu. Solynin & Stamatis Pouliasis)
Contratado "María Zambrano", Departamento de Matemáticas, Universidad Autónoma de Madrid, Jan. 2022 - Aug. 2023 (supervisor: Prof. Dragan Vukotić)
Assistant Professor (Ayudante Doctor), Departamento de Matemáticas, Universidad Autónoma de Madrid, Sep. 2023 - present
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.
Publications
A generalization of Livingston’s coefficient inequalities for functions with positive real part, J. Math. Anal. Appl. 435 (2016), no. 1, 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)
(with Á. Ferrada, R. Hernández and R. Vargas) Schwarzian derivatives for pluriharmonic mappings, J. Math. Anal. Appl. 495 (2021), no. 1, 124716 (arXiv:1912.12619)
Criteria for univalence and quasiconformal extension for harmonic mappings on planar domains, Ann. Fenn. Math. 46 (2021), no. 2, 1123-1134 (arXiv:2009.14766)
Quasiconformal extension for harmonic mappings on finitely connected domains, C. R. Math. Acad. Sci. Paris, 359 (2021), no. 7, 905-909 (arXiv:2101.09561)
(with R. Hernández and M.J. Martín) Ahlfors-Weill extensions for harmonic mappings, J. Math. Anal. Appl. 523 (2023), no. 2, 127053 (arXiv:2105.07492)
(with A. Mas and D. Vukotić) Estimates for truncated area functionals on the Bloch space, Proc. Amer. Math. Soc. 151 (2023), pp. 3845-3854. (arXiv:2208.10626)
(with A. Llinares and D. Vukotić) Korenblum's principle for Bergman spaces with radial weights, to appear in Comput. Methods Funct. Theory (arXiv:2307.14699)
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
Las conjeturas de Bieberbach y Zalcman en la teoría de las funciones univalentes, Seminario Junior, UAM-ICMAT, Madrid, Spain, March 12, 2014
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, Analysis Summer Meeting, Aristotle University of Thessaloniki, Greece, June 30, 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
On Bombieri's conjecture for univalent functions, Analysis Seminar, Texas Tech University, US, September 23, 2019
Criteria for univalence and quasiconformal extension for harmonic mappings on planar domains, Analysis Seminar, Texas Tech University, US, October 5, 2020
Schwarzian derivatives for pluriharmonic mappings, Analysis Seminar, Texas Tech University, US, October 19, 2020
Criteria for univalence and quasiconformal extension for harmonic mappings on planar domains, Analysis Seminar, University of Tennessee, Knoxville, US, October 21, 2020
Quasiconformal extensions for harmonic mappings, Analysis Seminar, Texas Tech University, US, April 19, 2021
Schwarzian derivatives for harmonic mappings, Complex Analysis and its Applications, Gelendzhik, Russia, June 3, 2021
Criteria for univalence and quasiconformal extension for harmonic mappings on planar domains, CMFT International Conference, online, January 10, 2022
Harmonic mappings and the Schwarzian derivative, Complex Analysis Seminar, Universidad Autónoma de Madrid, Spain, April 29, 2022
Harmonic mappings and the Schwarzian derivative, Seminario de Análisis Matemático Aplicado, Universidad Carlos III de Madrid, Spain, June 23, 2022
Harmonic mappings and the Schwarzian derivative, Second Congress of Greek Mathematicians (link to Analysis sessions), National Technical University of Athens, Greece, July 4, 2022
Harmonic mappings and the Schwarzian derivative, Workshop de Jóvenes Investigadores, Universidad Complutense de Madrid, Spain, September 27, 2022
Aplicaciones armónicas y la derivada Schwarziana, Seminario de Análisis Matemático y Matemática Aplicada, Universidad de La Laguna, Spain, January 19, 2023
Sobre funciones univalentes con segundo coeficiente prescrito, Complex Analysis Seminar, Universidad Autónoma de Madrid, May 23, 2023
The Hardy space of univalent functions with prescribed second coefficient, XXI Encuentros de Análisis Real y Complejo, Jarandilla de la Vera, May 27, 2023
The Hardy space of univalent functions with prescribed second coefficient, Advanced Courses in Operator Theory and Complex Analysis, Thessaloniki, June 28, 2023
Influence of the second coefficient of univalent functions to Hardy space estimates, Workshop Holomorphic Flows vs. Semigroup (Operator) Theory, ICMAT, Madrid, November 30, 2023
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:
- Acta Mathematica
- Analysis and Mathematical Physics
- Boletín de la Sociedad Matemática Mexicana
- Bulletin des Sciences Mathématiques
- Bulletin of the Hellenic Mathematical Society
- Bulletin of the Malaysian Mathematical Sciences Society
- Canadian Mathematical Bulletin
- Computational Methods and Function Theory
- Czechoslovak Mathematical Journal
- Journal of Geometric Analysis
- Journal of Mathematical Analysis
- Journal of Pure and Applied Mathematics: Advances and Applications
- Matematički Vesnik
- Mathematische Nachrichten
- Mediterranean Journal of Mathematics
- Notices of the American Mathematical Society
- Open Mathematics
- Proceedings of the Romanian Academy
- Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
- Results in Mathematics
- Rocky Mountain Journal of Mathematics
Doctoral Thesis
Coefficient Problems in Geometric Function Theory (thesis)
Master Thesis
The hyperbolic metric and an application to growth estimates for holomorphic functions