Education
1. Department of Mathematics, Aristotle University of Thessaloniki 1986-1990. B.Sc. 1990.
2. Department of Mathematics, Washington University, St.Louis, 1991-1996. M.Sc. 1994.
Ph.D. 1996; Advisor: Albert Baernstein.

Research Interests
Complex analysis, potential theory, geometric function theory, conformal mapping, harmonic measure, capacity, extremal length, hyperbolic metric, Brownian motion, probabilistic potential theory, semigroups of holomorphic functions, composition operators.

Employment
1. 1998-1999: Postdoctoral Fellow, Department of Mathematics, University of Helsinki.
2. 1999-2000: Visiting assistant professor, School of Engineering, Aristotle University of Thessaloniki.
3. 2000-2002: Visiting assistant professor, Department of Applied Mathematics, University of Crete.
4. 2002-2008: Assistant professor, Department Mathematics, Aristotle University of Thessaloniki.
5. 2008-2014: Associate professor, Department Mathematics, Aristotle University of Thessaloniki.
6. 2014-: Professor, Department Mathematics, Aristotle University of Thessaloniki.

Publications
[1] On certain harmonic measures on the unit disk. Colloquium Math.73 (1997), 221-228.
[2] Harmonic measure on simply connected domains of fixed inradius. Ark. Mat. 36 (1998), 275-306.
[3] Polarization, conformal invariants and Brownian motion. Ann. Acad. Sci. Fenn. Ser. A I Math. 23 (1998), 59-82.
[4] On bounded univalent functions that omit two given values. Colloquium Math. 80 (1999), 253-258.
[5] An extension of the Beurling-Nevanlinna projection theorem. Computational Methods in Function Theory (CMFT’97). N.Papamichael, St.Ruscheweyh and E.Saff (Eds.), pp.87-90. World Scientific, 1999.
[6] On conformal capacity and Teichm\”uller’s modulus problem in space. Journal d’Analyse Mathematique 79 (1999), 201-214.
[7] (with A.Yu.Solynin) Extensions of Beuring’s shove theorem for harmonic measure. Complex Variables 42 (2000), 57-65.
[8] (with M.Vuorinen) Estimates for conformal capacity. Constructive Approximation 16 (2000), 589-602.
[9] On the equilibrium measure and the capacity of certain condensers. Illinois J. Math. 44 (2000), 681-689.
[10] Geometric theorems and problems for harmonic measure. Rocky Mountain J. of Math. 31 (2001), 773-795.
[11] Extremal problems for extremal distance and harmonic measure. Complex Variables 45 (2001), 201-212.

[12] Hitting probabilities of conditional Brownian motion and polarization. Bulletin Australian. Math. Soc. 66 (2002), 233-244.
[13] (with A.Yu Solynin) On the distribution of harmonic measure on simply connected planar domains. Journal Australian Math. Soc. 75 (2003), 145-151.
[14] Two point projection estimates for harmonic measure. Bulletin London Math. Soc. 35 (2003), 473-478.
[15] On separating conformal annuli and Mori’s ring domain in $R^n$. Israel J. of Math. 133 (2003), 1-8.
[16] Symmetrization, symmetric stable processes, and Riesz capacities. Trans. Amer. Math. Soc. 356 (2004), 735-755. Addendum 356 (2004), 3821.
[17] Polarization, continuous Markov processes and second order elliptic equations. Indiana Univ. Math. J. 53 (2004), 331-346.
[18] (with K.Samuelsson and M.Vuorinen) The computation of capacity of planar condensers. Publ. Inst. Math. 75 (89) (2004), 233-252.

[19] Elliptic, hyperbolic, and condenser capacity; geometric estimates for elliptic capacity. Journal d’Analyse Mathematique 96 (2005), 37–55.
[20] (with S.Grigoriadou) On the determination of a measure by the orbits generated by its logarithmic potential. Proc. Amer. Math. Soc. 134 (2006), 541–548.
[21] Estimation of the hyperbolic metric by using the punctured plane. Math. Z. 259 (2008), 187–196.
[22] Some properties of $\alpha$-harmonic measure. Colloq. Math. 111 (2008), 297-314.
[23] Equality cases in the symmetrization inequalities for Brownian transition functions and Dirichlet heat kernels. Ann. Acad. Sci. Fenn. Ser. A I Math. (2008), 413–427.
[24] Symmetrization and harmonic measure. Illinois J. Math. 52 (2008), 919-949.
[25] An extremal problem for the hyperbolic metric on Denjoy domains. Comp. Methods Function Theory  10 (2010), 49-59.
[26] Geometric versions of Schwarz’s lemma for quasiregular mappings. Proc. Amer. Math. Soc. 139 (2011), 1397-1407.
[27] Multi-point variations of Schwarz lemma with diameter and width conditions. Proc. Amer. Math. Soc. 139 (2011), 4041-4052.

[28] (with S.Pouliasis) Equality cases for condenser capacity inequalities under symmetrization. Annales Univ. Mariae Curie-Skłodowska 66 (2012), 1-24.

[29] (with S.Pouliasis) Versions of Schwarz’s lemma for condenser capacity and inner radius. Canadian Math. Bul. 56 (2013), 241-250.

[30] Holomorphic functions with image of given logarithmic or elliptic capacity. J. Australian Math. Soc.  94  (2013), 145-157.

[31] Hyperbolic geometric versions of Schwarz’s lemma. Conformal Geometry and Dynamics 17 (2013), 119-132.

[32] Estimates for convex integral means of harmonic functions. Proc. Edinb. Math. Soc. 57 (2014),  619–630.

[33] On the images of horodisks under holomorphic self-maps of the unit disk. Archiv der Math. (Basel) 102 (2014), 91–99.
[34] Lindelof’s principle and estimates for holomorphic functions involving area, diameter, or integral means. Comp. Methods Function Theory  14 (2014), 85-105.

[35] On the existence of strips inside domains convex in one direction. Journal d’Analyse Mathematique 134 (2018), 107-126.

[36] On the asymptotic behavior of the trajectories of semigroups of holomorphic functions.J. Geometric Analysis 26 (2016), 557-569.

[37] On the rate of convergence of parabolic semigroups of holomorphic functions.Analysis and Math. Physics 5 (2015), 207-216.

[38] On the rate of convergence of hyperbolic semigroups of holomorphic functions. Bulletin London Math. Soc. 47 (2015), 493-500.

[39] Geometric description of the classification of holomorphic semigroups. Proc. Amer. Math. Soc. 144 (2016), 1595-1604.

[40] On the eigenvalues of the infinitesimal generator of a  semigroup of composition operators. J. Funct. Anal. 273 (2017), 2249-2274.

[41] On the eigenvalues of the infinitesimal generator of a  semigroup of composition operators on Bergman spaces. Bulletin Hellenic Math. Soc. 61 (2017), 41-54.

[42] (with S.Pouliasis)  Isometries for the modulus metric are quasiconformal mappings. Trans. Amer.  Math. Soc.  372  (2019), 2735-2752.

[43] Angular derivatives and compactness of composition operators on Hardy spaces. J. Operator Theory 82  (2019),  189-196.

[44] (with G.Kelgiannis, M.Kourou, S.Pouliasis)  On the asymptotic behavior of condenser capacity under Blaschke products and universal covering maps. Proc. Amer. Math. Soc. 147 (2019), 2963-2973.

[45] (with G.Kelgiannis, M.Kourou, S.Pouliasis)  Semigroups of holomorphic functions and condenser capacity.   Analysis and Math. Physics  10 (2020), 18 pp.

[46] (with M. D. Contreras, S. Diaz-Madrigal)  On the rate of convergence of semigroups of holomorphic functions at the Denjoy-Wolff point.  Revista Mathematica Iberoamericana 36 (2020), 1659-1686.

[47] (with M. Boudabra, G. Markowsky)  On the probability of fast exits and long stays of planar Brownian motion in simply connected domains. J. Math. Anal. Appl. 493 (2021),  10 pp.

[48] (with C. Karafyllia, N. Karamanlis)  Hyperbolic metric and membership of conformal maps in the Bergman space. Canadian Math. Bul. 64 (2021), 174-181.  

[49] (with A.Yu. Solynin) Heating long pipes, Analysis and Math. Physics 11 (2021), 35 pp.

[50] (with N. Karamanlis)  Conformal invariants and the angular derivative problem.  J. London Math. Soc.  105 (2022), 587-620.

[51] (with M. Boudabra, G. Markowsky) On the duration of stays of Brownian motion in domains in Euclidean space. Electronic Communications in Probability 27 (2022), Paper No. 58, 12 pp.      

[52]  (with A. Yu. Solynin, M. Vuorinen)   Conformal capacity of hedgehogs. Conformal Geometry and Dynamics 27 (2023), 55-97.

[53] (with A. Yu. Solynin) Temperature of rods with Robin boundary conditions. J. Math. Anal. Appl. 528 (2023), Paper No. 127578, 16 pp.

[54] (with N. Karamanlis)   On the monotonicity of the speeds for semigroups of holomorphic self-maps of the unit disk.

Trans. Amer.  Math. Soc. (to appear).

The Analysis Seminar in Thessaloniki

2023-2024

ARISTOTLE UNIVERSITY OF THESSALONIKI
DEPARTMENT OF MATHEMATICS
DIVISION OF MATHEMATICAL ANALYSIS

Organizing Committee:

1. Fotiadis
2. Galanopoulos

Seminar Room:  M2, 3rd floor in the building of the School of Sciences

Program of Talks

Monday,  23 October 2023, 12.15-13.00

Eleftherios Theodosiadis, Stockholm University
Title: Geometric discription of some Loewner chains with infinitely many slits

 

Thursday,  2 November 2023, 11.15-12.00

Ioannis Polychrou, Aristotle University of Thessaloniki
Title: The sinh-Gordon equation and harmonic mappings

Thursday,  30 November 2023, 11.15-12.00

Aurelia Dymek, Nikolaus Copernicus University in Torun
Title: Dynamics of sets of numbers

 

Tuesday,  5 December 2023, 12.15-13.00 (Room M0)

Konstantinos Tsinas, University of Crete
Title: Multiple ergodic averages along primes

Friday,  15 December 2023, 12.15-13.00

Nikos Stylianopoulos, University of Cyprus
Title: Comparison Law for Cristoffel functions

———————————————————————————————————-

Analysis Winter Meeting 2023
Friday,  22 December 2023

Program

10.00-10.25:  Vyron Vellis, University of Tennessee
Tangents of Holder curves

10.35-11.00: Dimitrios Ntalampekos, Stony Brook University
Definition of quasiconformality and exceptional sets

11.10-11.35:  Athanasios Tsantaris, University of Helsinki
Quasiconformal curves and quasiconformal mappings

                                               Break

12.00-12.25: Athanasios Kouroupis, NTNU, Trondheim
An extension of Bohr’s theorem

12.35-13.00:  Vassilis Daskalogiannis, A.U.Th. and A.C.T.
Generalized Ηilbert operators arising from Hausdorff matrices

13.10-13.35:  Vasiliki Evdoridou, Open University U.K.
Contracting compositions of inner functions and the Denjoy-Wolff set

                                               Break

16.30-16.55: Nikolaos Eptaminitakis,  Leibniz University Hannover
The method of weakly nonlinear geometric optics for the Westervelt equation

17.05-17.30: Myrto Manolaki, University College Dublin
Taylor polynomials and boundary behaviour of Abel universal functions

17.40-18.05: Konstantinos Maronikolakis, University College Dublin
Composition problems of Abel universal functions

                                               Break

18.30-18.55: Nikolaos Athanasiou, University of Crete
Formation of trapped surfaces in the Einstein-Yang-Mills system

19.05-19.30:   Stathis Chrontsios, University of Tennessee
Dimension notions and holomorphic maps

———————————————————————————————————————-

Tuesday,  6 February 2024, 11.15-12.00

Jani Virtanen, University of Reading, UK
Title: Essential positivity and Toeplitz operators

Thursday,  8 February 2024, 11.15-12.00

Santeri Miihkinen, University of Reading, UK
Title: The infinite Hilbert matrix of analytic functions

 

Thursday,  28 March 2024, 11.15-12.00

Nikolaos Athanasiou, A.U.Th.
Title: Formation of trapped surfaces in the General Theory of Relativity

Thursday,  4 April 2024, 11.15-12.00

Dimitrios Vavitsas, Jagiellonian University

Title: Non-cyclicity and polynomials in Dirichlet-type spaces of Bn

 

Thursday,  11 April 2024, 11.15-12.00

Francisco Jose Cruz Zamorano, Universidad de Sevilla
Title: Recent advances on Koenigs functions and Hardy spaces

 

Thursday,  18 April 2024, 11.15-12.00

Nikolaos Papanastassiou, NKUA
Title: Excaustive sequences of functions

 

Thursday,  16 May 2024, 11.15-12.00

Miltiadis Paschalis, NKUA
Title: Shape sensitivity of the Hardy constant

 

Thursday,  16 May 2024, 12.15-13.00

Mihalis Mourgoglou,  University of Basque Country, UPV/EHU
Title: Varopoulos extensions and applications to boundary value problems in rough domains
Tuesday,  18 June 2024, 11.15-12.00

Alejandro Mahillo,  Universidad de Zaragoza
Title: Spectral properties of the Cesaro operator via semigroup theory and a note on universality

 

Friday,  21 June 2024, 10.15-11.00

Konstantinos Bambouras,  NTNU, Trondheim

Title: Norm attaining vectors and Hilbert points

 

Friday,  21 June 2024, 11.15-12.00

Christna Giannitsi,  Vanderblitt University

Title: A brief introduction to analysis on the Gaussian integers.