Stamatis Pouliasis

Address
Lubbock, Texas 79409-1042.
Office: MATH 219.

and

Avenida Escazú, Edificio AE205,
San Rafael de Escazú,
San José, Costa Rica, 10203.
Office: 301C.


E-mail: stamatis.pouliasis AT ttu.edu
            stamatispouliasis AT gmail.com  (replace AT by the @ sign)

Here is my C.V.

Education

B. Sc. in Mathematics, Department of Mathematics, Aristotle University of Thessaloniki, Greece, 2001-2005.
M. Sc. in Mathematics, Department of Mathematics, Aristotle University of Thessaloniki, Greece, 2005-2007.
Ph. D. in Mathematics, Department of Mathematics, Aristotle University of Thessaloniki, Greece, 2008-2011. 

Advisor: Dimitrios Betsakos.

Employment
Research Interests

Potential theory and complex analysis.

Publications
  1. Invariance of Green equilibrium measure on the domain, Filomat 27:4 (2013), 593-600. PDF file Preprint
  2. Condenser energy under holomorphic motions, Illinois J. Math. Vol. 55, Number 3 (2011), 1119-1134. PDF file Preprint
  3. Condenser capacity and meromorphic functions, Comput. Methods Funct. Theory 11 (2011), No. 1, 237-245. PDF file Preprint
  4. (with D. Betsakos), Equality cases for condenser capacity inequalities under symmetrization, Annales UMCS, Mathematica, Vol. 66 (2012), Issue 2, 1-24. PDF file Preprint
  5. (with D. Betsakos), Versions of Schwarz's lemma for condenser capacity and inner radius, Canadian Mathematical Bulletin 56 (2013), no. 2, 241-250. PDF file Preprint
  6. (with M. Papadimitrakis), Condenser capacity under multivalent holomorphic functions, Comput. Methods Funct. Theory, Vol. 13 (2013), Issue 1, 11-20. PDF file Preprint
  7. (with J. Mashreghi), Condenser capacity, exponential Blaschke products and universal covering maps, Proc. Amer. Math. Soc. 143 (2015), no. 8, 3547-3559. PDF file Preprint
  8. (with T. Ransford), On the harmonic measure and the capacity of rational lemniscates, Potential Analysis, Vol. 44 (2016), Issue 2, 249-261. PDF file Preprint
  9. (with G. Bao and N. G. Gögüs), Qp spaces and Dirichlet type spaces, Canadian Mathematical Bulletin, 60 (2017), no. 4, 690-704. PDF file Preprint
  10. (with G. Bao and N. G. Gögüs), On Dirichlet spaces with a class of superharmonic weights, Canadian Journal of Mathematics, 70 (2018), 721-741.. PDF file Preprint
  11. (with G. Bao and N. G. Gögüs), Intersection of harmonically weighted Dirichlet spaces, Comptes Rendus Mathematique, Vol. 355 (2017), Issue 8, 859-865. PDF file Preprint
  12. A reverse rearrangement inequality for energy integrals, The First NEAM: Conference Proceedings, Theta Foundation, Bucharest, 2018,  93-99. Preprint
  13. (with G. BaoJ. Mashreghi and H. Wulan), Möbius invariant function spaces and  Dirichlet spaces with superharmonic weights, J. Australian Math. Soc. (to appear). PDF file Preprint
  14. (with D. Betsakos), Isometries for the modulus metric are quasiconformal mappings, Trans. Amer. Math. Soc. (to appear). PDF file Preprint
  15. (with D. Betsakos, G. Kelgiannis and M. Kourou), On the asymptotic behavior of condenser capacity under Blaschke products and universal covering maps, submitted, 2018.
  16. (with D. Betsakos, G. Kelgiannis and M. Kourou), Semigroups of holomorphic functions and condenser capacity, submitted, 2018.
  17. (with T. Ransford and M. Younsi), Analytic capacity and holomorphic motions, submitted, 2018.
  18. (with A. Yu. Solynin), Infinitesimally small spheres and conformally invariant metrics, submitted, 2018.
Talks
  1. Superharmonicity and harmonicity properties of condenser energy under dilation, Summer School in Conformal Geometry, Potential Theory and Applications, Maynooth, Ireland, 23-27 June 2009.
  2. Superharmonicity and harmonicity properties of condenser energy under dilation, Complex and Harmonic Analysis 2009, Archanes, Greece, 3-5 September 2009.
  3. Condenser energy under holomorphic motions, Workshop in Complex Analysis and Operator Theory, Thessaloniki, Greece, 11-16 July 2010.
  4. Condenser capacity and meromorphic functions, Analysis Seminar, Department of MathematicsAristotle University of Thessaloniki, Thessaloniki, Greece, 19 October 2010.
  5. Equality cases for condenser capacity inequalities under symmetrization, Complex and Harmonic Analysis 2011, Málaga, Spain, 10-14 July 2011.
  6. Versions of Schwarz's lemma for condenser capacity and inner radius, Mini-Workshop in Complex Analysis and Applications,  Faculty of Mathematics, University of Belgrade, Serbia, 27-28 February 2012. (invited)
  7. A capacity inequality for holomorphic functions,  Analysis Seminar in Crete,  9 May 2012.  (invited)
  8. Condenser capacity under multivalent holomorphic functions, Séminaire d' analyse, Département de mathématiques et de statistique, Université Laval, Québec (Québec), Canada, 5 October 2012.
  9. Condenser energy, equilibrium measure and holomorphic motions, Séminaire d' analyse, Département de mathématiques et de statistique, Université Laval, Québec (Québec), Canada, 19 April 2013.
  10. Condenser capacity under multivalent holomorphic functions, Computational Methods and Function Theory 2013, Shantou, Guangdong, China, June 10-14, 2013.
  11. On the asymptotic behavior of the capacity of certain condensers, Analysis SeminarDepartment of Mathematics, University of Western Ontario, London, Ontario, Canada, 1 October 2013. (invited)
  12. On the asymptotic behavior of the capacity of certain condensers, Séminaire d' analyse, Département de mathématiques et de statistique, Université Laval, Québec (Québec), Canada, 25 October 2013.
  13. Condenser capacity, exponential Blaschke products and universal covering maps, Special Session on Invariant Subspaces of Function Spaces, AMS Southeastern Spring Sectional Meeting in Knoxville TN, 21-23 March 2014.
  14. Condenser capacity, exponential Blaschke products and universal covering maps, Session on Complex Analysis and Function Spaces, CMS Summer Meeting in Winnipeg, 6-9 June 2014.
  15. Logarithmic capacity and rational lemniscates, Analysis Seminar, Department of MathematicsAristotleUniversity of Thessaloniki, Thessaloniki, Greece, 29 January 2015.
  16. Logarithmic capacity and rational lemniscates, Istanbul Analysis Seminars, Istanbul, Turkey, 27 February 2015.
  17. Logarithmic capacity and rational lemniscates, Analysis Seminar, Department of Mathematics, Bilkent University, Ankara, Turkey, 23 March 2015. (invited)
  18. Logarithmic capacity and rational lemniscates, General Seminar, Department of Mathematics, Mimar Sinan Fine Arts University, Istanbul, Turkey, 30 April 2015. (invited)
  19. Analytic capacity and symmetrization, Analysis Summer Meeting, Thessaloniki, 25-26 June 2015.
  20. Logarithmic capacity and rational lemniscates, The First Romanian-Turkish Mathematics Colloquium, Constanta, Romania, 14-18 October 2015.
  21. Condenser capacity, holomorphic motions and symmetrization, Istanbul Analysis Seminars, Istanbul, Turkey, 4 December 2015.
  22. Condenser capacity under holomorphic functions, Mathematics Department Seminars, Galatasaray University, 16 December 2015.
  23. Condenser capacity under holomorphic functions, Istanbul Analysis Seminars, Istanbul, Turkey, 12 February 2016.
  24. Logarithmic capacity and rational lemniscates, 15th Panhellenic Conference of Mathematical Analysis, University of Crete, Heraklion, Greece, 27-29 May 2016.
  25. Logarithmic capacity and rational lemniscates, Conference on Harmonic Analysis and Approximation Theory, Centre de Recerca Matemàtica, Barcelona, Spain, 6-10 June 2016.
  26. Condenser capacity under holomorphic functions, International Conference on Complex Analysis and Related Topics, The 14th Romanian-Finnish Seminar, Bucharest, Romania, 20-24 June 2016.
  27. Dirichlet spaces with superharmonic weights (I and II), Analysis Seminar, Department of MathematicsAristotle University of Thessaloniki, Thessaloniki, Greece, 23 and 30 March 2017.
  28. Condenser capacity and holomorphic functions (I and II), Analysis SeminarDepartment of Mathematics and StatisticsTexas Tech University, Lubbock, Texas, 12 and 19 February 2018.
  29. Logarithmic capacity and rational lemniscates, Junior Mini Symposium, Department of Mathematics and StatisticsTexas Tech University, Lubbock, Texas, 20 February 2018. (invited talk).
  30. Dirichlet spaces with superharmonic weights, Complex Analysis and Spectral Theory, A conference in celebration of Thomas Ransford's 60th birthdayUniversité LavalQuébec (Québec), Canada, 21-25 May 2018. (invited talk).
  31. Condenser capacity and holomorphic functions, Special Session in Analysis, First Congress of Greek Mathematicians in Athens,  25-30 June 2018. (invited talk).
  32. Isometries of the modulus metric, Analysis Winter Meeting, Thessaloniki, 21 December 2018.

    PhD Thesis


    Condensers and geometric transformations (in greek, english overview).

    Master Thesis

    Theory of capacity and potential of condensers (in greek).


    Slides of presentations

    Superharmonicity and harmonicity properties of condenser energy under dilation.

    Links