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Publications & Preprints

My main interests are mathematical physics and algebraic geometry. You can find my papers on the arXiv or on Google scholar.

Mathematics

  1. On Suffridge Polynomials (with Dmitriy Dmitrishin & Alex Stokolos)
    Submitted (2020). [arXiv]
  2. On the Koebe Quarter Theorem for Polynomials (with Dmitriy Dmitrishin, Andrey Smorodin & Alex Stokolos), Proc. Int. Geom. Cent. 14 (2021). [arXiv]
  3. Univalence of a certain quartic function
    Topics in classical and modern analysis, Appl. Numer. Harmon. Anal. Birkhäuser/Springer (2019). [arXiv]
  4. Example of an order 16 non symplectic action on a K3 surface
    J. Algebra 458 (2016). [arXiv]
  5. Generalized Borcea-Voisin construction
    Lett. Math. Phys. 12 (2012), no. 1. [arXiv]
  6. On some order 6 automorphisms of elliptic K3 surfaces
    Albanian J. Math. 6 (2012), no. 2. ex [arXiv]
  7. Toroidal orbifolds à la Vafa-Witten
    Adv. Theor. Math. Phys. 11 (2007), no. 4. [arXiv]
  8. Automorphisms and Calabi-Yau Threefolds
    PhD Thesis University of Pennsylvania (2006) [pdf]

Physics

  1. Topology of High-k States in Quartic Metamaterials (with Maxim Durach & Thomas Mulkey)
    Frontiers in Optics / Laser Science, OSA Technical Digest (2018), JW3A, 102. [article]
  2. The Inverse Problem of Quartic Photonics (with Thomas Mulkey & Maxim Durach)
    Optics Letters 43, 1226-1229 (2017) [arXiv]

Popular Articles

  1. Depressing Cubics and Barycentres
    To appear in Math. Gaz. (2025). [html]
  2. Edge coloring and the Möbius strip
    Math. Mag. 94, no. 2 (2021). [html]
  3. Mille viae ducunt homines matricum productum
    Losanges 33 (2016). [pdf] [html]
  4. Les entiers... ces fonctions qui s'ignorent
    Accromath 9 (2014). [pdf] [html]
  5. S'il vous plaît... dessine-moi un élément de torsion!
    Images des Mathématiques, CNRS (2014). [html]

Notes

  1. Geometric Aspects of Valuation Theory
    Notes du mini-cours de Bernard Teissier lors de la conférence GAEL XIII à Luminy (2005). [pdf]

Research Expository

  1. Introduction to Dessins d'Enfants and the Grothendieck Correspondence
    Mémoire de licence Université de Louvain (2000). [pdf]

Unpublished & e-prints

  1. Tetrachromagea
    Preprint (2015). [arXiv]
  2. On alternate dual frames (with Julien Giol)
    Preprint (2007). [pdf]
  3. Schur multipliers and extension by 0 (with Julien Giol)
    Preprint (2006). [pdf]