| Subject: | Differential Geometry |
| Degree: | Department of Mathematics, University of Patras |
| PhD: | Department of Mathematics, University of Patras PhD Thesis: Study of special classes of contact Riemannian manifolds |
| Research Interests: | Sasaki and Kähler geometry, Harmonic maps between Riemannian manifolds, Minimal submanifolds, Geometric AnalysisHigher rank numerical ranges of matrices and matrix polynomials. Preconditioning and linear system sensitivity. CutFEM method in numerical approximation of PDE’s, Discontinuous Galerkin. |
| Office: | 220, 2nd Floor, Building Β |
| Contact with students: | Monday 15:00 – 16:00 & Tuesday 09:00 – 10:00 |
| E-mail: | mmarkellos@uth.gr |
| Personal Webpage: |
Michail Markellos graduated from the Department of Mathematics of the University of Patras. He received his MSc in Pure mathematics from the University of Patras in 2006. As a scholarship holder of the State Scholarship Foundation (IKY), he obtained his PhD thesis in Mathematics from the University of Patras in 2009. His research interests focus on the field of Differential Geometry. More precisely, his research includes the study of harmonic maps between Riemannian manifolds. During the period 2011 – 2019, he taught as a visiting professor several courses at the Department of Mathematics of the University of Aegean, the Frederick University in Cyprus, the Department of Mathematics of the University of Leeds in United Kingdom and the Department of Mathematics and Statistics of the University of Cyprus in Cyprus. As a postdoctoral researcher, he has carried out research in the University of Ioannina (2019- 2021) under the financial support of the research programme ELIDEK. He is the author of 10 articles in peer-reviewed international scientific journals and 2 articles in conference proceedings with referees. He has given invited or contributed talks in multiple international conferences and seminars in Greece and Europe. He is a reviewer in 2 international journals of his scientific field.
1. M. Markellos, and A. Savas-Halilaj, Rigidity of the Hopf fibration, Calc. Var. Partial Differential Equations, 60,
2021, Article:171.
2. E. Loubeau and M. Markellos, The biharmonic homotopy problem for unit vector fields on 2-tori, Ann. Mat. Pura
Appl. (4), 198, 2019, 1639–1650.
3. M. Markellos and H. Urakawa, Biharmonic vector fields on pseudo-Riemannian manifolds, J. Geom. Phys., 130,
2018, 293-314.
4. M. Markellos and H. Urakawa, The biharmonicity of sections of the tangent bundle, Monatsh. Math., 178, 2015,
389–404.
5. M. Markellos and H. Urakawa, The bienergy of unit vector fields, Ann. Glob. Anal. Geom., 46(4), 2014, 431–457
