Iason Efraimidis

Current Address:

Universidad Autónoma de Madrid

Departamento de Matemáticas

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)

2015/16: Differential Equations, Department of Mathematics, UAM (problem solving seminar)

2016/17: Differential Equations, Department of Mathematics, UAM (problem solving seminar)

2018, 1st semester: Complex Variables, Master's program, Faculty of Mathematics, UC (problem solving seminar)

2018, 2nd semester: Problem solving seminar, Ph.D. program, preparation for the qualification exam, Faculty of Mathematics, UC

2019, 1st semester: Precalculus, College, UC

Calculus I, Faculty of Economics and Management, UC

2019, fall semester, Calculus I with Applications (Math1451), TTU

2020, spring semester, Calculus III with Applications (Math2450), TTU

2020, fall semester, Calculus III with Applications (Math2450), TTU

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

2025, spring semester, Álbebra Lineal y Geometría, 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, Comput. Methods Funct. Theory 25 (2025), 239-250 (arXiv:2307.14699)

(with P. Gumenyuk) Hyperbolic convexity of holomorphic level sets, Rev. Mat. Iberoam., published online (arXiv: 2411.10222)

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

Hyperbolic convexity of holomorphic level sets, Complex Analysis Seminar, Universidad Autónoma de Madrid, November 13, 2024

Hyperbolic convexity of holomorphic level sets, Analysis Winter Meeting, Aristotle University of Thessaloniki, December 23, 2024

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