Students

Post-docs


D. Gkountaroulis, A new 2-variable generalization of the Jones polynomial, (2014 2016; since September 2016 Post-doctoral Researcher at the U. Lausanne and Centre for Integrative Genomics)

I. Diamantis, The HOMFLYPT skein module of the lens spaces L(p,q) via braids, (2015; since September 2015 Visiting Prof. International College Beijing, China Agricultural U.)

E. Panagiotou, Measuring topological entanglement in polymers, (2013; since August 2013 Visiting Assist. Prof. U. Santa Barbara California)

M. Chlouveraki, Hecke algebras and braid groups associated with complex reflection groups, (2012 2014; CNRS & Maitre de Conferences, U. Versailles)


PhD theses


S. Antoniou, Topological Surgery in Natural Processes and Dynamical Systems, May 2014 -

N. Gugumcu, Knotoids and braidoids, December 2013 -

I. Diamantis, The HOMFLYPT skein module of the lens spaces L(p,1) via braids, July 2015

D. Gkountaroulis, Framization of the Temperley-Lieb algebra and related link invariants, January 2014

E. Panagiotou, Topological methods for measuring polymer entanglements, September 2012


MSc dissertations


C. Antoniou, The Alexander polynomial, June 2016

E. Panagiotou, Topological methods for measuring the entanglement of polymers, December 2008

A. Chronopoulos, The analogues of the 2-variable Jones polynomial for type B-knots in the solid torus (Presentation), February 2008

I. Diamantis, Applications of Knot Theory in Chemistry and Biology (Presentation), November 2007

K. Kominaki, Applications of Knot Theory to electrical networks, July 2002


Diplom dissertations


P. Pantavos, Introduction to Khovanov homology, February 2014

D. Mandratzi, Music and symmetry: the actions of the atonal and the neo-Riemannian group on the set of consonant triads (Presentation), December 2013

D. Mantopoulou-Palouka, The braid groups and applications to cryptography and polymers (Presentation), July 2013

E. Larentzaki, The prime numbers (Presentation), June 2012

V. Bithimitri, Continued fractions and real numbers: approximations and applications (Presentation), November 2011

G. Ninis, Group theory in crystallography (Presentation), April 2011

K. Karvounis, Programming for Yokonuma-Hecke algebras, November 2010

D. Kardaris, Differential Topology in Physics (Presentation), July 2010

A. Nikolakopoulou, Christos Papakyriakopoulos and Dehn’s Lemma, July 2010

K. Panagidis, What is Knot Theory in Mathematics: an introduction in HTML and Flash (co-supervision with N. Tracas), June 2008

I. Kiouvrekis, The Banach-Tarski paradox, June 2008

A. Paterakis, The Theorems of Alexander and Markov in Knot Theory (Presentation), May 2008

E. Androulaki, Thermodynamical Analysis Based On Statistical Mechanics and Knot Theory, March 2008

F. Stavropoulou, Knots and links in graphs and applications to Stereochemical Topology, October 2007

E. Alexopoulou, p-adic numbers and an application to Diophantine equations, June 2007

E. Panagiotou, Twelve proofs of the Fundamental Theorem of Algebra (Presentation), October 2006

K. Eptaimeros, Continuous finite element methods of interior penalty for the biharmonic problem (Presentation), October 2006

A. Chronopoulos, Introduction to Knot Theory, the 2-variable Jones polynomial,  and the classification of Weyl groups, September 2005

K. Barbagianneris, Knots, Braids and Statistical Mechanics (Presentation), September 2005

S. Antoniou, The chaotic attractor of a 3D Lotka-Volterra dynamical system and its relation to the topological surgery, July 2005


Subject "Thema" projects


M. Arvaniti & P. Krystallidis, The Platonic solids, 2017

E. Michalopoulou, Mathematics and movies, 2016

G. Mantzos, The "Keller" Theorem, 2016

A. Poulopoulou, The Mathematics behind the Sodoku game, 2016

S.M. Bouznean, Knot Applications in DNA, 2016