- Professor

- Department of Mathematics
- University of Crete
- University Campus
- GR-700 13 Voutes, Iraklion, Crete
- GREECE

- Office: Gamma 320
- Tel: (0030)-2810-393825 (office) FAX: (0030)-2810-393881
- Home Address: Nteli Drakou 21, GR-714 09 Iraklion, Crete, GREECE

E-mail:`athanako@math.uoc.gr`

My CV in english (ps, pdf) and in greek (ps, pdf) . A description of my research in greek (ps, pdf) .

- Dynamical Systems
- Differential Geometry and Topology
- Ergodic Theory

- D+ stable dynamical systems on 2-manifolds,
*Math. Z.*196 (1987), 453-462. (pdf) - (with P. Strantzalos) On minimal sets in 2-manifolds,
*J. reine angew. Math.*388 (1988), 206-211. (pdf) - The flow near nontrivial minimal sets on 2-manifolds,
*Math. Proc. Camb. Phil. Soc.*108 (1990), 569-573. (pdf) - Cohomology and asymptotic stability of 1-dimensional continua,
*Manuscripta Math.*72 (1991), 415-423. (pdf) - A characterization of Denjoy flows,
*Bull. London Math. Soc.*24 (1992), 83-86. (pdf) - Some aspects of the theory of asymptotic cycles,
*Expositiones Math.*13 (1995), 321-336. (pdf) - (with A. Manoussos) Minimal flows on multipunctured surfaces
of infinite type,
*Bull. London Math. Soc.*27 (1995), 595-598. (pdf) - One-dimensional chain recurrent sets of flows in the 2-sphere,
*Math. Z.*223 (1996), 643-649. (pdf) - Flows with cyclic winding numbers groups,
*J. reine angew. Math.*481 (1996), 207-215. (pdf) - (with Th. Petrescou and P. Strantzalos) A class of flows on
2-manifolds with simple recurrence,
*Comment. Math. Helvetici*72 (1997), 618-635. (pdf) - Rotation numbers and isometries,
*Geom. Dedicata*72 (1998), 1-13. (pdf) - Volume preserving flows with cyclic winding numbers groups and
without periodic orbits on 3-manifolds,
*Manuscripta Math.*97 (1998), 37-44. (pdf) - Periodicity criteria of Poincare-Bendixson type,
*Univ. Iagel. Acta Math.*36 (1998), 181-182. (pdf) - Rotation of orbits and isometries,
*Proceedings of the 3d Panhellenic Conference of Geometry*, (1999), 67-71. - (with A. Alexellis) Chain recurrence in flows on the Klein
bottle,
*Math. Proc. Camb. Phil. Soc.*127 (1999), 83-91. (pdf) - Cohomology of surface minimal sets,
*Expositiones Math.*17 (1999), 371-374. (pdf) - On the Ruelle rotation for torus diffeomorphisms,
*Math. Z.*234 (2000), 225-239. (pdf) - Explosions near isolated unstable attractors,
*Pacific J. Math.*210 (2003), 201-214. (pdf) - Remarks on the region of attraction of an isolated invariant set,
*Colloq. Math.*104 (2006), 157-167. (pdf) - Pointwise recurrent homeomorphisms with stable fixed points,
*Topology Appl.*153 (2006), 1192-1201. (pdf) - Divergence of C1 vector fields and nontrivial minimal sets on
2-manifolds,
*J. Differential Equations*243 (2007), 24-35. (pdf) - Asymptotically stable one-dimensional compact minimal sets,
*Topol. Methods Nonlinear Anal.*30 (2007), 397-406. (pdf) - (with C. Panagiotakis and G. Tziritas) The equipartition of curves,
*Computational Geom.*42 (2009), 677-689. (pdf) - The Ruelle rotation of Killing vector fields,
*Colloq. Math.*116 (2009), 243-247. (pdf) - Denjoy C1 diffeomorphisms of the circle and McDuff's question,
*Expositiones Math.*33 (2015), 48-66. (pdf) - On the existence of absolutely continuous automorphic measures, preprint. (pdf)

- Winter semester: (i) Analysis I ( Exercises and January's 2018 examination with the grades ), (ii) Differential Geometry ( Exercises and January's 2018 examination with the grades ).
- Spring semester: Introduction to Riemannian Geometry (graduate course).

Some subjects for a Master's Thesis can be found here .

- The Geometry Seminar 2001-2002 at the Univ. of Crete.
- The Dynamical Systems and the Geometry Seminar 2002-2003 at the Univ. of Crete.
- The Geometry Seminar 2003-2004 at the Univ. of Crete.
- The Dynamical Systems Seminar 2004-2005 at the Univ. of Crete.
- The Dynamical Systems Seminar 2005-2006 at the Univ. of Crete.
- The Geometry Seminar 2006-2007 at the Univ. of Crete.
- The Dynamical Systems and the Geometry Seminar 2007-2008 at the Univ. of Crete.
- The Mechanics and Symplectic Geometry Seminar 2013-2014 at the Univ. of Crete.

- Handwritten lecture notes on elementary Topology (in Greek).
- Handwritten lecture notes on Calculus III (Differential Equations) (in Greek).
- Lectures on some Classical theorems of topology in dimension 2 (in Greek).
- Exercises on Differentiable Manifolds and Riemannian Geometry (in Greek).
- Lectures on Poincare-Bendixson Theory given in the Summer School on Mathematics, 2002, held at Iraklion (in Greek).
- A lecture on Rotation Numbers in Dynamical Systems (in Greek).
- A lecture on the (Non-)Existence of periodic orbits in dynamical systems (in English).
- A crash course in Hyperbolic Geometry (in Greek).
- A lecture on The gradient structure of flows (in Greek).
- A lecture on Stable and unstable minimal attractors (in English).
- Six chapters of introductory Notes on Ergodic Theory of Dynamical Systems from a geometric point of view (in English).
- Four chapters of introductory Notes on Symplectic Geometry (in English).
- Notes on Vector bundles and characteristic classes (in English).
- An introductory course in Discrete Dynamical Systems (in Greek).

K. Athanassopoulos, 24.01.2014