Research interests


My mathematical research interests include, but are not limited to, the differential geometry of submanifolds, and Lie groups and Lie algebras. Furthermore, my physics research interests include the physics and topology of DNA and epigenetics.

Publications and preprints


Physics


  • M. Liefsoens, T. Földes, M. Barbi. Spectral-based detection of chromatin loops in multiplexed super-resolution FISH data. Nature communications 15, 7670 (2024).
    Available here (open acces)

Mathematics


  • M. Liefsoens. Hypersurfaces of any homogeneous ℂP³. Annali di Matematica (2025).
    Available here
  • M. Liefsoens, H. Ma, L. Vrancken. Classification results for totally real surfaces of nearly Kähler ℂP³. Journal of Geometry and Physics 216, 105574 (2025).
    Available here
  • M. Liefsoens. A note on Levi-flat hypersurfaces in ℂP³. Romanian journal of Mathematics and Computer science, conference proceedings 15, 2, pages 11-17 (2025).
  • M. Anarella, M. Liefsoens. Isometry groups of nearly Kähler manifolds. Results in Mathematics 80, 145 (2025).
    Available here

Selected talks


  • May 24, 2025, Bucharest, Romania
    Title: Fundamentals of Nearly Kähler ℂP³: Curvature, Isometries and Hypersurfaces
    This talk was part of the RIGA conference.
  • June 4, 2024, Nankai University, Tianjin, P.R. China
    Title: Fundamentals of nearly Kähler ℂP³: curvature, isometries and submanifolds
  • May 31, 2024, Tsinghua University, Beijing, P.R. China
    Title: Fundamentals of nearly Kähler ℂP³: curvature, isometries and submanifolds
  • July 13, 2023, KU Leuven, Leuven, Belgium
    Title: Nearly Kähler ℂP³: from the Hopf fibration to Lagrangian submanifolds
    This talk was part of the conference Padge.
  • November 24, 2022, Sète, France
    Title: Coil-globule transition in TADs: role of topology? Joint with Maria Barbi
    This talk was part of the super-coiled retreat.

Posters


  • June 1, 2023, Paris, France
    Title: Revealing DNA’s topology, A spectral energy approach to loop detection
    Click to Download
    This poster was presented at the third anual meeting of the GDR ADN&G.

Talks and conferences


  • Pure and Applied Differential Geometry PADGE2023,
    July 10 - July 14, 2023, Leuven, Belgium.
  • Third anual meeting of the GDR ADN&G,
    May 31 - June 1, 2023, Paris, France.
  • H-Workshop 2023,
    February 6 - February 10, 2023, Granada, Spain.
  • Super-coiled retreat,
    November 23 - November 25, 2022, Sète, France.
  • AMS-EMS-SMF International Meeting,
    July 18 - July 22, 2022, Grenoble, France.
  • Workshop on Singularities in Geometry and Dynamics,
    November 22 - November 23, 2021, Hasselt, Belgium.