About me
I am a Research Assistant at Imperial College London working in the Centre for Mathematics of Precision Healthcare, under the supervision of Sophia Yaliraki and Mauricio Barahona.
I was a PhD student at Imperial College London under the supervision of Darryl D. Holm.
My PhD research lied at the interface of geometric mechanics, integrable systems and stochastic mechanics.
Apart from these topic, I am now interested in dynamical systems on graphs and dimensionality reduction algorithms.
Prior to Imperial College I did a Bachelor and Master in Physics at Ecole Polytechnique Fédérale de Lausanne, with a specialisation in Mathematics.
For my Master thesis I also worked in the field of computational astrophysics with Lastro.
Talks and posters
Coming talks:
- Satellite meeting at CCS18: Extracting and analysing networks from spatio-temporal data, Thesalloniki, 26 September 2018
- From Stochastic Geometric Mechanics to Mass Transportation Problems, Lisboa, 3-6 September 2018
Previous talks:
- Graph Theory and Physics, Imperial College London, 30 May 2018
- Developments in Healthcare imaging, Turing Gateway to Mathematics, University of Cambridge, 2 May 2018
- JAMS, Imperial College London, 6 December 2017
- Shape analysis and computational anatomy, Newton Institute, University of Cambridge, 13-17 November 2017
- Integrable Systems Seminars, University of Leeds, 3 November 2017
- Classic and Stochastic Approaches to Mathematical Fluid Dynamics, Imperial College London, 2-6 October 2017
- SIAM Mathematical Physics Day, Imperial College London, 8 February 2017
- Seminar, Dublin Institute of Technology, Dublin, 21 October 2016
- JAMS, Imperial College London, 12 October 2016
- Analysis and Partial Differential Equations, Imperial College London, 26-30 September 2016
- Seminar Københavns Universitet, Copenhagen, 20 June 2016
- AGM Meeting on Symmetry and Shape Analysis, Imperial College London, 29 April 2016
- Noncommutative Analysis and Partial Differential Equations , Imperial College London, 11-15 April 2016
- Mathematical Physics Seminar, Imperial College London, 23 March 2016
- 10th International Young Researchers Workshop on Geometry, Mechanics and Control, Institut Henri Poincaré , France, 13-15 January 2016
- AMMP day, Imperial College London, 16 December 2015
- JAMS, Imperial College London, 5 November 2015
- Mathematical physics seminar,University of Kent, 30 October 2015
- International Workshop: Waves, Solitons and Turbulence in Optical Systems , WASTOS15, Berlin, 12-14 October 2015
- 5th MICCAI workshop on Mathematical Foundations of Computational Anatomy, MFCA 2015, Munich, 9 October 2015
- 14th Conference “Mathematics in Technical and Natural Sciences”, 2015, Zakopane, Poland, 18-24 September 2015
- Algebraic and Geometric Aspects of Integrable Systems, PGR Workshop, Loughborough, 17-18 September 2015
- Workshop Classic and Stochastic Geometric Mechanics, Part of the semester Geometric Mechanics, Variational and Stochastic Methods, EPFL, Switzerland, 08-11 June 2015
- 9th International Young Researchers Workshop on Geometry, Mechanics and Control, University of Zaragoza, 21 January 2015
- AGM network meeting, Symmetry and Shape Analysis, Imperial College London, 13 June 2014
- AGM Network meeting, Geometric Fluid Dynamics, University of Surrey, 16 May 2014
Posters:
- 8th International Summer School on Geometry, Mechanics and ControlMiraflores de la Sierra, Madrid, Spain, 30 June-5 July 2014
- Fifth International Conference and School Geometry, Dynamics, Integrable SystemsICTP, Trieste, Italy, 16-27 June 2014
- 4th Iberoamerican Meeting on Geometry, Mechanics and Control, Rio de Janeiro, Brazil, 7-11 April 2014
Videos
I put here videos illustrating some of my works.
Videos of heavy top lattice
Below are the videos of the heavy top lattice with $\mathbb I= \mathrm{diag}(1,2,3)$ and $\mathbb J = \mathrm{diag}(1,2,3)$ (joint work with S. Takao).
- Deterministic, $\Gamma(0) \approx (0,1,0)$ Video: mov
- Dissipative, $\Gamma(0) \approx (0,1,0)$ Video: mov
- Deterministic, $\Gamma(0) \approx (1,0,0)$ Video: mov
- Dissipative, $\Gamma(0) \approx (1,0,0)$ Video: mov
- Deterministic, $\Gamma(0) \approx (1,1,1)$ Video: mov
- Dissipative, $\Gamma(0) \approx (1,1,1)$ Video: mov
Videos of $Diff$-strands peakon anti-peakon collision
Video of Arnaudon, Holm, Ivanov 2017. Video: mov
Videos of random attractors
Below are the videos of the random attractors on coadjoint orbits.
Videos of the CH-NLS equation
Below are a few videos of simulations of the CH-NLS equation. This equation was studied in arXiv:1507.02591 and corresponds to the figures of this paper. The CH-NLS equation reads $$ im_t = u_{xx} + m(|u|-\alpha^2|u_x|),\qquad m=u-\alpha^2u_{xx}.$$
- Figure 2(b): Fission of an initial pulse into two solitons and radiations. Video: mov
- Figure 3(a): Collision of two solitary waves, similar to the NLS equation. Video: mov
- Figure 3(b): Collision of two solitary waves, with a narrow profile. Video: mov
- Figure 3(c): Collision of two solitary waves, with a higher speed. Video: mov