# Personal Information

Name: Matthaios

Surname: Katsanikas

Date of Birth: 04/01/1979

Place of Birth: Athens, Greece

Address at work: Research Center for Astronomy and Applied Mathematics (RCAAM), Academy of Athens, Soranou Efesiou 4, Athens, Greece, GR-11527

Tel.: +30 2106597139

E-mails: mkatsanikas@gmail.com, matthaios.katsanikas@bristol.ac.uk

## Education

B.Sc in Mathematics (2002) - Department of Mathematics of the National and Kapodistrian University of Athens, Greece.

M.Sc in Astrophysics, Astronomy and Mechanics (2005) - Department of Physics of the National and Kapodistrian University of Athens, Greece.

Ph.D in Astrophysics and Applied Mathematics (2012) - Department of Physics of the National and Kapodistrian University of Athens, Greece & Research Center for Astronomy and Applied Mathematics of the Academy of Athens, Greece. Graduated with honors.

## Research Interests and activities

1. Dynamical Astronomy, Chaos Theory and Nonlinear Dynamical Systems.

Phase space geometry of Hamiltonian systems.

Visualization of 4D Poincaré sections for Hamiltonian systems and of 4D phase space of symplectic maps.

Numerical methods for distinguishing between regular and chaotic behavior in Hamiltonian systems.

Diffusion and Lyapunov exponents in Hamiltonian systems.

Phase space transport and invariant manifolds in Hamiltonian systems.

The structure of KAM (Kolmogorov - Arnold - Moser) tori and Arnold diffusion.

Numerical methods for locating periodic orbits - stability and bifurcations of periodic orbits in Hamiltonian systems.

Hamiltonian Hopf bifurcation and complex instability.

Machine learning in Hamiltonian systems.

Differential geometry and topology in chaos theory and Hamiltonian systems.

Celestial Mechanics - perturbation theory - normal forms.

Galactic dynamics - stellar dynamics of barred and disk galaxies.

Chaos in general relativity.

Chemical reaction dynamics.

Regarding this activity, I am a member of the International Astronomical Union (IAU), of the Hellenic Astronomical Society and of the Hellenic Mathematical Society. I am also a member of the inter-division commission A-F Celestial Mechanics and Dynamical Astronomy of the International Astronomical Union (IAU).

2. History, philosophy and popularization of science.

Philosophy of Mathematics and Physics.

Popularization of Mathematics, Physics, and Astronomy through their historical development and results of scientific research in these disciplines.

Epistemology and Theory of Knowledge.

Archaeoastronomy and History of Astronomy.

History of Ancient Mathematics.

Regarding this activity, I am a member of the British Society for the philosophy of science and member of the commission C2 communicating astronomy with the public, of the commission C3 history of astronomy and of the inter-commission C1-C3-C4 working group for astronomy in culture of the International Astronomical Union (IAU).

## Employment History

1) 6/9/2021-now: Associate Researcher - Assistant Professor Level at the Research Center for Astronomy and Applied Mathematics (RCAAM), Academy of Athens, Greece.

2) 1/9/2017 - 31/8/2021: Research Associate in Applied Mathematics at School of Mathematics of the University of Bristol, UK.

3) 24/5/2012 - 31/8/2017: Postdoctoral Researcher at the Research Center for Astronomy and Applied Mathematics of the Academy of Athens, Greece.

4) 3/12/2015 - 16/12/2015: Visiting Researcher at the Institute of Theoretical Physics, Faculty of Mathematics and Physics, Charles University in Prague, Czech Republic.

## Participation in Research Projects

1) CHAMPS Project "Chemistry and Mathematics in Phase space", EPSRC-sponsored Programme Grant involving Bristol University, Cardiff University, Imperial College and Leeds University from 1/9/2017- 31/8/2021.

2) ``The origin of Astrophysical magnetic fields'' in the framework of Action ``Excellence'' (Aristeia) of the General Secretariat for Research and Technology of Greece and of the European Union at the Research Center for Astronomy and Applied Mathematics of the Academy of Athens, from 13/1/2014 to 26/9/2015.

3.)``Analytic computation of Invariant Manifolds and the structure of Chaos'' at the Research Center for Astronomy and Applied Mathematics of the Academy of Athens from 1/1/2013 to 31/12/2014.

4.) ``Dissemination of Research Results'' at the Research Center for Astronomy and Applied Mathematics of the Academy of Athens from 24/5/2012 to 12/1/2014, from1/2/2012 to 23/5/2012 and from 1/12/2010 to 31/5/2011.

5.) ``Nonlinear phenomena in galactic disks'' at the Research Center for Astronomy and Applied Mathematics, Academy of Athens from 1/1/2010 to 15/6/2010.

6.) ``Preliminary Study of the impact of climate change on economic and social issues in Greece and in the Eastern Mediterranean'', sponsored by the Mariopouleio-Kanaginis Foundation of Environmental Sciences in Greece, at the Research Center for Astronomy and Applied Mathematics of the Academy of Athens from 1/1/2008 to 31/12/2008.

7.) ``Developing codes for studying the behavior of gas in galactic disks''at the Research Center for Astronomy and Applied Mathematics of the Academy of Athens from 1/1/2006 to 31/12/2006.

8.) ``Qualitative and Quantitative analysis of chaotic regions in three dimensional galactic potentials'' at the Research Center for Astronomy and Applied Mathematics of the Academy of Athens from 1/1/2005 to 31/12/2005.

9.) ``Study of the Structure of the phase space in galactic potentials of three degrees of freedom'' at the Research Center for Astronomy and Applied Mathematics of the Academy of Athens from 1/1/2004 to 31/12/2004.

## Talks

1.) Katsanikas M. [16 July 2010] ``The structure and evolution of confined tori near a Hamiltonian Hopf Bifurcation'', International Conference "Nonlinear Dynamics and Complexity:Theory, Methods and Applications", dedicated to the 60th birthday of Tassos Bountis, Thessaloniki 12-16 July 2010, Greece.

2.) Katsanikas M. [13 July 2011] `` The structure of the phase space in a 3D autonomous Hamiltonian system of galactic type'', Third La Plata International school in Astronomy and Geophysics: "Chaos, Diffusion and non-Integrability in Hamiltonian systems- Applications to Astronomy", La Plata 11-15 July 2011, Argentina.

3.) Katsanikas M. [8 May 2012] `` The structure of the phase space in galactic potentials of three degrees of freedom'' in seminar series of the Research center for Astronomy and Applied Mathematics of the Academy of Athens, Greece.

4.) Katsanikas M. [22 June 2012] `` The structure of the phase space in a 3D autonomous Hamiltonian system of galactic type and 4D symplectic maps'', invited talk in the Mathematics Institute, University of Warwick, United Kingdom (invited talk).

5.) Katsanikas M. [20 June 2013] ``Lyapunov Characteristic Numbers and the structure of the Phase space in the neighborhood of Simple and Double unstable fixed points in a 4D Symplectic map'' International Conference ``Methods of Chaos Detection and Predictability: Theory and Applications (MCDPTA13)'' 17-21 June 2013, Max Planck Institute for the Physics of Complex Systems, Dresden, Germany.

6.) Katsanikas M. [8 December 2015] ``Chaos and Dynamics in 3D Autonomous Hamiltonian systems of galactic type and 4D symplectic maps'' Invited talk in the Institute of Theoretical Physics, Faculty of Mathematics and Physics, Charles University in Prague, Czech Republic (invited talk).

7.) Katsanikas M. [13 July 2018] ``Phase Space Structure and Transport in a Caldera Potential Energy Surface'' CHAMPS Research Day, Imperial College London (London, UK).

8.) Katsanikas M. [26 July 2018] ``Phase Space Structure and Transport in a Caldera Potential Energy Surface'' Workshop "Geometry of Chemical Reaction Dynamics in Gas and Condensed Phases" (17-27 July 2018) at Telluride Science Research Center (Colorado, USA).

9.) Katsanikas M. [19 March 2019] "Phase Space Structure and Transport in a Caldera Potential Energy Surface'' CHAMPS - Workshop "Discovering Phase Space Structure and Reaction Mechanisms from Trajectory Data Sets" (19th March 2019), Engineers House The Promenade Clifton Down, Bristol BS8 3NB, UK.

10.) Katsanikas M. [25 April 2019] "Phase Space Geometry of Hamiltonian Systems and Applications" School of Science and Engineering, University of Dundee, Scotland, UK (invited talk).

11) Katsanikas M. [20 May 2019] "The Phase Space Geometry in a Caldera" SIAM Conference on Applications of Dynamical Systems, Snowbird Ski and Summer Resort - Snowbird, Utah, U.S.A, 19-23 May 2019.

12) Katsanikas M. [10 June 2019] "The Phase Space Geometry in a Caldera" CHAMPS Research Day, Engineers House The Promenade Clifton Down, Bristol BS8 3NB, UK.

13) Katsanikas M. [23 December 2019] "The Phase Space Transport in a Caldera potential energy surface" in seminar series of Research center for Astronomy and Applied Mathematics of Academy of Athens, Greece.

14) Katsanikas M. [6 October 2021] "Phase space and Dynamics in a caldera potential energy surface" in the symposium-11 "successful dynamical system applications in nonlinear sciences" of the second online conference on Nonlinear Dynamics and Complexity, ISEP, Porto 4-6 October 2021, Portugal (invited talk).

## Posters

1.) Katsanikas M. and Patsis P.A. [2007] ``The Structure of the Phase Space in Galactic Potentials of Three Degrees of Freedom'' International conference`` Chaos in Astronomy", Athens, Greece,17-20 September 2007.

2.) Katsanikas M. and Patsis P.A. [2008] ``The visualization of the 4D surfaces of section in galactic potentials of three degrees of freedom'' 21st Conference - Summer School in Nonlinear Science and Complexity, Athens, Greece, 21 July -2 August 2008.

3.) Katsanikas M. and Patsis P.A. [2009] ``The Orbital Behavior at the neighborhood of Stable Periodic Orbits in a 3D Galactic Potential'' 9th International Conference of the Hellenic Astronomical Society, Athens, Greece, 20-24 September 2009.

4.) Katsanikas M., Patsis P.A. and Pinotsis A.D. [2010] ``The phase space at the neighborhood of periodic orbits with high order multiplicity in 3D Hamiltonian systems'' International Conference in Nonlinear Dynamics and Complexity, dedicated to the 60th birthday of Tassos Bountis Thessaloniki, Greece, 12-16 July 2010.

5.) Katsanikas M. [2014] ``The cosmic Battery and the astrophysical Magnetic Discs'' International Conference ``Extreme Astrophysics in ever-changing Universe'' Ierapetra Crete, Greece, 16-20 June 2014.

6.) Katsanikas M. [2019] "Phase Space Structure and Transport in a Caldera Potential Energy Surface'' EPSRC Session, CHAMPS - School of Mathematics, University of Bristol, UK, 12th March 2019.

## Reviewer for Refereed Scientific Journals

Astrophysics and Space Science, PLOS ONE, Physica D, The European Physical Journal Plus, Revista Mexicana de Astronomia y Astrofisica, Communications in Nonlinear Science and Numerical Simulation, International Journal of Bifurcation and Chaos, Results in Physics

## Professional Memberships

1.) Society for Industrial and Applied Mathematics (SIAM).

2.) International Astronomical Union (IAU).

3.) Hellenic Mathematical Society.

4.) Hellenic Astronomical Society.

5.) British Society for the Philosophy of Science.

## Organization of conferences and meetings

##

1) Main Organizer of the Workshop "Chaos Indicators, Phase Space and Chemical Reaction Dynamics", CHAMPS - University of Bristol UK, Online 4-6 May 2020.

2) Main Organizer of the mini-symposium "Exploring The Phase Space: From Galaxies to Molecules - Part I and II" of the SIAM Conference on Applications of Dynamical Systems, Snowbird Ski and Summer Resort - Snowbird, Utah, U.S.A, 19-23 May 2019.

3) Member of the Local Organizing Committee (LOC) of the 11th International Conference of the Hellenic Astronomical Society, Athens, Greece, 8-12 September 2013.