Nikos Kavallaris

My main research interests include:

1. Deterministic and Stochastic Modelling of phenomena arising in Biology (Chemotaxis, Angiogenesis, Tumour Growth, DNA Methylation, Cell motility e.t.c ), Ecology (Mutualism), Game Theory (Replicator Dynamics) as well as of Industrial processes (Ohmic Heating, Resistance Spot Welding, Linear Friction Welding in Metals, Torsion Test in Metals, MEMS control e.t.c. ).

2. Mathematical Analysis of Nonlinear and Non-local Parabolic Deterministic & Stochastic Differential Equations and Reaction Diffusion Systems

3. Uncertainty Quantification of stochastic models arising in Biology, Ecology, Finance, etc.

4. Topological Data Analysis of Biological Physical Systems

The current semester I am teaching the following module:

MAGB65/22 Optimization

MAGA47, Mathematics for Engineers III

MAGA48, Applied Mathematics

MAGA49 Mathematics with specialisation in surveying technology

MAGB01, Ordinary Differential Equations

My main research collaborators are based in:

1) Osaka University, Japan

2) Heriot-Watt University, UK

3) Laboratoire Analyse, Géométrie et Applications (LAGA, UMR 7539)
de l'Université Sorbonne Paris Nord, France

4) Brown University, USA

5) Sussex University, UK

6) Aegean University, Greece

7) Athens University of Economics and Business, Greece

8) Monash Univeresity, Australia

I delivered his PhD studies in the National Technical University of Athens from 1997 to 2000 with a full scholarship. 

Next I worked as a Visiting Lecturer at the National Technical University of Athens for 3 years (2001-2004) lecturing Mathematics to Mechanical, Civil, Chemical and Electrical Engineering students.

In the period 2004 -2005 I held a research position in the University of Wroclaw, in the framework of HYKE (Hyperbolic Kinetic Equations) EU funded research project. Later, from 2005-2006 he received a scholarship for the Greek National Scholarships Foundation of Greece (I.K.Y) for postdoctoral research at the National Technical University of Athens. Afterwards, in the period 2006-2007 I worked as a postdoctoral researcher in a project founded by Centre of Excellence (COE) program of Japanese Government at Osaka University, Japan.

Before joining Karlstads University I held positions as Senior Lecturer and Associate Professors in Aegean University (2007-2013), Greece, and University of Chester (2013-2021) , UK.

I am a co-organizer of the minisymposium ''Analysis of Nonlocal PDEs'' of Equadiff 2024 international conference is taking place at Karlstad University the period 10-14 June 2024.

Moreover, I  achieved several research projects among which was an EU Marie-Curie project.