Publications

(2021). Persistent homology of the cosmic web — I. Hierarchical topology in ΛCDM cosmologies. Monthly Notices of the Royal Astronomical Society.

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(2021). Recent advances in the monodromy theory of integrable Hamiltonian systems. Indagationes Mathematicae.

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(2020). Hamiltonian monodromy and Morse theory. Communications in Mathematical Physics.

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(2019). Scattering invariants in Euler's two-center problem. Nonlinearity.

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(2019). Bifurcations and monodromy of the axially symmetric 1:1:-2 resonance. Journal of Geometry and Physics.

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(2019). A Lagrangian fibration of the isotropic 3-dimensional harmonic oscillator with monodromy. Journal of Mathematical Physics.

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(2018). A study of the effect of doughnut chart parameters on proportion estimation accuracy. Computer Graphics Forum.

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(2017). Rotation forms and local Hamiltonian monodromy. Journal of Mathematical Physics.

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(2017). Parallel transport along Seifert manifolds and fractional monodromy. Communications in Mathematical Physics.

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(2017). Monodromy of Hamiltonian systems with complexity 1 torus actions. Journal of Geometry and Physics.

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(2016). CAST: effective and efficient user interaction for context-aware selection in 3D particle clouds. IEEE Transactions on Visualization and Computer Graphics.

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(2015). The Boundary-Hopf-Fold bifurcation in Filippov systems. SIAM Journal on Applied Dynamical Systems.

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(2013). Uncovering fractional monodromy. Communications in Mathematical Physics.

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(2012). The topology associated to cusp singular points. Nonlinearity.

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(2012). Efficient structure-aware selection techniques for 3D point cloud visualizations with 2DOF input. IEEE Transactions on Visualization and Computer Graphics.

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(2011). Pacer cell response to periodic Zeitgebers. Physica D.

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(2010). Normalization and global analysis of perturbations of the hydrogen atom. Reviews of Modern Physics.

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(2010). Integrable Hamiltonian systems with swallowtails. Journal of Physics A.

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(2010). Fractional bidromy in the vibrational spectrum of HOCl. Physical Review Letters.

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(2010). A geometric fractional monodromy theorem. Discrete and Continuous Dynamical Systems - Series S (DCDS-S).

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(2008). Most typical 1:2 resonant perturbation of the hydrogen atom by weak electric and magnetic fields. Physical Review Letters.

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(2008). Heteroclinic cycles between unstable attractors. Nonlinearity.

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(2007). Fractional monodromy in the 1:-2 resonance. Advances in Mathematics.

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(2007). Classification of perturbations of the hydrogen atom by small static electric and magnetic fields. Proceedings of the Royal Society A.

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(2005). No polar coordinates. Lectures by R. H. Cushman. Geometric Mechanics and Symmetry. The Peyresq Lectures.

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(2004). Hamiltonian Hopf bifurcation of the hydrogen atom in crossed fields. Physica D.

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(2004). Global bending quantum number and the absence of monodromy in the HCN-CNH molecule. Physical Review A.

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(2004). Escapes and recurrence in a simple Hamiltonian system. Celestial Mechanics and Dynamical Astronomy.

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(2004). Analysis of rotation-vibration relative equilibria on the example of a tetrahedral four atom molecule. SIAM Journal on Applied Dynamical Systems.

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(2003). Linear Hamiltonian Hopf bifurcation for point-group-invariant perturbations of the 1:1:1 resonance. Proceedings of the Royal Society A.

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(2001). Orbits in the H2O molecule. Chaos.

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