Department of Mathematics Aristotle University of Thessaloniki GR-54124 Thessaloniki, Greece. Office: 3.14, 3rd floor, New building of the Faculty of Sciences E-mail: karafyllc@math.auth.gr |
Institute for Mathematical Sciences Stony Brook University 11794-3651, Stony Brook, New York. Office: 3-102, 3rd floor, Math Tower E-mail: christina.karafyllia@stonybrook.edu |

CV

Talks and Conferences

Education:

- Aristotle University of Thessaloniki, Department of Mathematics, Ph.D. Candidate in Complex Analysis, Advisor: Dimitrios Betsakos (January 2017-Present).
- Aristotle University of Thessaloniki, Department of Mathematics, M.Sc. in Mathematics with grade 9.40/10.00 (October 2015-January 2017).
- Aristotle University of Thessaloniki, Department of Mathematics, B.Sc. in Mathematics with grade 9.43/10.00 (September 2011-July 2015).

- Visiting scholar in the Institute for Mathematical Sciences, Stony Brook University (August 2019-December 2019).
- Participant in educational and research procedures in the Department of Mathematics, Aristotle University of Thessaloniki (March 2016-November 2016).

Complex analysis, geometric function theory, potential theory, conformal mapping, harmonic measure, extremal length, hyperbolic metric, Hardy spaces.

Publications:

- On a relation between harmonic measure and hyperbolic distance on planar domains, Indiana Univ. Math. J. (to appear). arXiv preprint
- Hyperbolic distance and membership of conformal maps in the Hardy space, Proc. Amer. Math. Soc. 147 (2019), no. 9, 3855-3858. arXiv preprint
- On the Hardy number of a domain in terms of harmonic measure and hyperbolic distance (submitted). arXiv preprint
- On a property of harmonic measure on simply connected domains (submitted). arXiv preprint

Conformal invariant quantities in the complex plane and relations between them. PDF file in Greek.

Scholarships-Distinctions:

- Scholar of Onassis Foundation for Ph.D. studies in Greece (October 2017-Present).
- Success in the written exams in Complex and Functional Analysis of P. Grammatikakis' Scholarship for Ph.D. studies in Mathematics by the Academy of Athens (June 2017).

- Scholar of Exchange Scholarships of Aristotle University with participation in educational and research procedures in the Department of Mathematics of Aristotle University of Thessaloniki (March 2016-November 2016).