About
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Introduction
I am a post-doctoral researcher at the Technical University of Berlin (Germany) under the mentoring of Prof. Yuri Suris. My current research lies in the theory of integrable dynamical systems, mostly focusing on discrete multi-time integrable systems and the symplectic invariants of semitoric invariants.
I am also teaching assistant for several courses at BSc and MSc level, in German, Dutch and English.
Current institution
Additional affiliations
October 2019 - present
Position
- PostDoc Position
Description
- Research on dynamical systems and integrability. Focus on studying symplectic properties of semitoric systems using mathematical software. Also interested in applying deep learning to problems in symplectic geometry and data-driven dynamics.
October 2015 - September 2019
Position
- PhD Student
Description
- Doctoral research in the field of dynamical systems and integrability. I used mathematical software to compute the symplectic invariants of several families of semitoric systems, completing their classification for the first time.
October 2015 - present
Position
- Graduate Teaching Assistant
Description
- Multivariate Calculus, Gewone Differentiaalvergelijkingen (Ordinary Differential Equations), Dynamische Systemen (Dynamical Systems), Meetkundige Functionaalanalyse (Geometric Functional Analysis)
Education
October 2015 - September 2019
September 2012 - April 2015
September 2010 - July 2011
Publications
Publications (8)
Semitoric integrable systems were symplectically classified by Pelayo and Vũ Ngọc in 2009–2011 in terms of five invariants. Four of these invariants were already well-understood prior to the classification, but the fifth invariant, the so-called twisting index invariant, came as a surprise. Intuitively, the twisting index encodes how the structure...
Semitoric systems are a special class of completely integrable systems with two degrees of freedom that have been symplectically classified by Pelayo and Vũ Ngọc about a decade ago in terms of five symplectic invariants. If a semitoric system has several focus–focus singularities, then some of these invariants have multiple components, one for each...
Semitoric systems are a special class of completely integrable systems with two degrees of freedom that have been symplectically classified by Pelayo and Vu Ngoc about a decade ago in terms of five symplectic invariants. If a semitoric system has several focus-focus singularities, then some of these invariants have multiple components, one for each...
The coupled angular momenta are a family of completely integrable systems that depend on three parameters and have a compact phase space. They correspond to the classical version of the coupling of two quantum angular momenta and they constitute one of the fundamental examples of so-called semitoric systems. Pelayo and Vũ Ngọc have given a classifi...
About six years ago, semitoric systems on 4-dimensional manifolds were classified by Pelayo & Vũ Ngọc by means of five invariants. A standard example of such a system is the coupled spin–oscillator on S2×R2. Calculations of three of the five semitoric invariants of this system (namely the number of focus–focus singularities, the generalised semitor...
Semitoric systems are a special class of completely integrable systems in four dimensions for which one of the first integrals generates an $\mathbb{S}^1$-action. They were classified by Pelayo & Vu Ngoc in terms of five symplectic invariants about a decade ago. We give a survey over the recent progress which has been mostly focused on the explicit...
The coupled angular momenta are a family of completely integrable systems that depend on three parameters and have a compact phase space. They correspond to the classical version of the coupling of two quantum angular momenta and they constitute one of the fundamental examples of so-called semitoric systems. Pelayo & Vu Ngoc have given a classifica...
About six years ago, semitoric systems on 4-dimensional manifolds were classified by Pelayo & V\~u Ng\.{o}c by means of five invariants. A standard example of such a system is the coupled spin-oscillator on $\mathbb{S}^2 \times \mathbb{R}^2$. Calculations of three of the five semitoric invariants of this system (namely the number of focus-focus sin...
