Personal details
Personal details
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I am a Mathematics Ph.D. currently working in industry. This website details my activities as a professional mathematician, last working as a postdoctoral researcher in the geometry section of KU Leuven with Marco Zambon. Before that I was part of the geometry group of the Université libre de Bruxelles, working with Joel Fine. I obtained my Ph.D. from Utrecht University with Gil Cavalcanti and Marius Crainic as a member of the Geometric Structures group there.
An up to date full CV is available upon request.
Links to: arXiv preprints page, Google scholar, ResearchGate and LinkedIn.
Research interests:
Research interests:
My research interests consist mainly of differential geometry, namely Poisson, Dirac, and generalized complex geometry, specifically the usage of Lie algebroids to extend symplectic techniques to this setting. Furthermore, I am interested in gauge theory, particularly Seiberg-Witten gauge theory and the related fields of index theory and low-dimensional topology. I am moreover interested in hypersymplectic geometry and the study of symplectic Lie groupoids.
Published work:
Published work:
Obstructions for symplectic Lie algebroids, SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) 16 (2020), 121, 13 pages.
Available online, arXiv:1811.05084.
Fibrations and log-symplectic structures (with Gil Cavalcanti), J. Symplectic Geom. 17 (2019), no. 3, 603-638.
Available online, arXiv:1606.00156.
Fibrations and stable generalized complex structures (with Gil Cavalcanti), Proc. Lond. Math. Soc. 117 (2018), no. 6, 1242-1280.
Available online, arXiv:1703.03798.
Classification of boundary Lefschetz fibrations over the disc (with Stefan Behrens, Gil Cavalcanti), Geometry and Physics: Volume 2, Chapter 15 (Oxford University Press, 2018).
Available online, arXiv:1706.09207.
Fibrations in semi-toric and generalized complex geometry, 41 pages (with Gil Cavalcanti, Aldo Witte). Accepted for publication in Canadian Journal of Mathematics, to appear.
Self-crossing stable generalized complex structures, 42 pages (with Gil Cavalcanti, Aldo Witte). Accepted for publication in J. Symplectic Geom., to appear.
Preprints:
Preprints:
Poisson structures of divisor-type, 57 pages. Submitted.
PhD thesis:
PhD thesis:
Geometric structures and Lie algebroids, 220 pages. Utrecht University, 2017.
Available online, arXiv:1712.09560.
Notes and slides:
Notes and slides:
Constructing stable generalized complex four-manifolds, link.
Notes for a talk at GQT School and Colloquium, June 2018.Symplectic groupoids of elliptic Poisson manifolds, link.
Slides for online Friday Fish talk, July 2020.
In preparation:
In preparation:
Below is an incomplete list of papers that are currently in preparation.
Dirac and generalized complex structures of divisor-type.
Symplectic groupoids of elliptic Poisson structures.
Poisson cohomology of almost-regular Poisson manifolds (with Melinda Lanius).
On the modular foliation of a Poisson manifold (with Charlotte Kirchhoff-Lukat).
Family Seiberg-Witten invariants and hypersymplectic four-manifolds (with Joel Fine).
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