Andrei Teleman
                                

Institut de Mathématiques de Marseille,
Aix-Marseille Université

Luminy - 163 AVE de Luminy, 13009 Marseille
andrei.teleman[at]univ-amu.fr
     
Research Intererests:

Complex Geometry
Gauge Theory
Differential Geometry
      

 Recent publications:

- A gauge theoretical generalisation of Bryant's correspondence, https://arxiv.org/abs/2602.17132.

- On the classification of Inoue surfaces, en collaboration avec Zahraa Khaled,
https://arxiv.org/abs/2406.15158.

- Reductive homogeneous spaces associated with real forms. A gauge-theoretical generalisation, with N. Al Choueiry, Bull. Math. Soc. Sci. Math. Roumanie, 2025, Tome 68 (116) (3), p. 235-252.


- Holomorphic bundles framed along a real hypersurface and the Riemann-Hilbert problem, Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 34 (2025) no. 3, p. 581-656..

- The Newlander-Nirenberg theorem for principal bundles, Math. Z. 306, 20 (2024).
https://doi.org/10.1007/s00209-023-03413-4.

- Holomorphic bundles on complex manifolds with boundary, Math. Res. Lett. 31, no. 1, 303–328 (2024)..

- Graded tilting for gauged Landau-Ginzburg models and geometric applications, with Ch. Okonek, Pure and Applied Mathematics Quarterly vol 17, N° 1 (2021) 185 – 235.

- Smooth deformations of singular contractions of class VII surfaces, with G. Dloussky, Mathematische Zeitschrift,
https://doi.org/10.1007/s00209-020-02481-0 (2020).

- Non-Kählerian Compact Complex Surfaces, Complex Non-Kähler Geometry, eds: D. Angella, L. Arosio, E. Di Nezza, authors: S. Dinew, S. Picard, A. Teleman, A. Verjovsky, Cetraro, Italy 2018, Springer, LNM, vol. 2246 (2019) 121-161.

- Donaldson theory in non-Kählerian geometry, in "Modern Geometry: A Celebration of the Work of Simon Donaldson", Proceedings of Symposia in Pure Mathematics, Vol. 99 (2018) 363-392.

- On the Donaldson–Uhlenbeck compactification of instanton moduli spaces on class VII surfaces, with N. Buchdahl and M. Toma, The Quarterly Journal of Mathematics, Volume 69, Issue 4 (2018) 1423–1473.

- A continuity theorem for families of sheaves on complex surfaces, with N. Buchdahl and M. Toma, Journal of Topology, Vol. 10 (2017) 995-1028.

- Towards the Classification of Class VII Surfaces, in:"Complex and Symplectic Geometry", Springer INdAM Series, vol 21. Springer, Cham 2017.