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Romanian Rhapsody I (piano)
Andrei Teleman

Prof. Andrei Teleman
Institut de Mathématiques de Marseille, UMR 7373
Aix-Marseille Université
Luminy - 163 AVE de Luminy,
case 901, 13009 Marseille
Bureau 329
andrei.teleman[at]univ-amu.fr

Research Intererests
Complex Geometry
Gauge Theory
Differential Geometry

Piano Concerto N° 5 "Emperor" I

Graded tilting for gauged Landau-Ginzburg models and geometric applications, with Ch. Okonek, to appear in Pure and Applied Mathematics Quarterly.

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, 121-161, 2019.

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,  363-392 2018.

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, 1423–1473, 2018.

A continuity theorem for families of sheaves on complex surfaces, with N. Buchdahl and M. Toma, Journal of Topology, Vol. 10, 4, 995-1028, 2017.

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

Analytic cycles in flip passages and in instanton moduli spaces over non-Kählerian surfaces, Int. J. Math., Vol. 27, No. 07, 2016, doi: 10.1142/S0129167X16400097.

A variation formula for the determinant line bundle. Compact subspaces of moduli spaces of stable bundles over class VII surfaces, in "Geometry, analysis and probability : in honor of Jean-Michel Bismut", Progress in Mathematics, Birkhäuser, 2017.

Instanton moduli spaces on non-Kählerian surfaces. Holomorphic models around the reduction loci, Journal of Geometry and Physics, Vol. 91, p. 66-87, 2015, doi:10.1016/j.geomphys.2015.01.007.

Kähler classes on universal moduli spaces and volumina of Quot spaces, with Ch. Okonek, Journal of Geometry and Physics, Volume 96, p. 81–106, 2015, doi:10.1016/j.geomphys.2015.06.004.

On the torsion of the first direct image of a locally free sheaf, Annales de l'Institut Fourier, 65 no. 1, p. 101-136, 2015, doi: 10.5802/aif.2926.

A wall crossing formula for degrees of real central projection, with Ch. Okonek, Int. J. Math. Vol. 25, Issue 4, 1450038, 2014, doi: 10.1142/S0129167X14500384.

The g-areas and commutator length, with F. Lalonde, Int. J. Math., Vol. 24, No 7, 1350057, 2013, doi: 10.1142/S0129167X13500572.

Intrinsic signs and lower bounds in real algebraic geometry, with Ch. Okonek, Journal für die reine und angewandte Mathematik, Issue 688, 219-241, 2014.

Infinite bubbling in non-Kählerian geometry, with G. Dloussky, Math. Ann.Vol. 353,   No. 4, 1283-1314,  2012.

Abelian Yang-Mills theory on Real tori and theta divisors of Klein surfaces, with Ch. Okonek, Comm. Math. Phys. 323, 813-858, 2013.

Instantons and holomorphic curves on class VII surfaces, Annals of Mathematics, 172, 1749–1804, 2010.

Introduction à la théorie de jauge, book, Cours Spécialisés, SMF, 191 pages, 2012.

Gauge theoretical methods in the classification of non-Kählerian surfaces, "Algebraic Topology - Old and New" (the Postnikov Memorial Volume), Banach Center Publications Vol. 85, 2009.

Cohomotopy Seiberg-Witten invariants and the universal cohomotopy invariant jump formula, with Ch. Okonek,  J. Math. Sci. Univ. Tokyo 15, No 3,   325-409, 2008.

Families of holomorphic bundles, Communications in Contemporary Mathematics, Vol. 10, N° 4, 523-551, 2008.

Harmonic sections in sphere bundles, normal neighborhoods of reduction loci, and instanton moduli spaces on definite 4-manifolds, Geometry & Topology 11, 1681–1730, 2007.

The universal Kobayashi-Hitchin correspondence on Hermitian manifolds, with M. Lübke, Memoirs of the AMS, Vol. 183, No. 863, July 2006, 97 pages.

The pseudo-effective cone of a non-Kählerian surface and applications, Math. Ann. Vol. 335, No 4, 965-989, 2006.

Donaldson Theory on non-Kählerian surfaces and class VII surfaces with b2=1, Invent. math. 162, 493-521, 2005.

A selection of recent articles
Géométrie Différentielle
lien
Langage et raisonnements
mathématiques lien
Teaching
 Algèbre 2
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 Algèbre et Géométrie
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Videos with recent conferences

Gauge theoretical approach in the classification of class VII surfaces, talk given in the Workshop "Geometric Structures on Manifolds", Banff International Research Station, April 15-20 2012.

The classification problem for class VII surfaces,  talk given in the Workshop "Instantons in complex geometry", Moscow, Steklov Institute, March 14-18  2011

Recent workshops

Géométrie des variétés complexes 4, October 25 - 29 2010, CIRM, Luminy,
Organisers: Daniel Barlet, Georges Dloussky, Karl Oeljeklaus

Complex and Riemannian Geometry ("thematic month"), January 31 - March 4 2011, CIRM, Luminy Organisers: Vincent Guedj, Andrei Teleman

Moduli spaces in Geometry, October 26-30 2015, CIRM, Luminy
Organizers: Joseph Ayoub, Alexander Schmitt, Andrei Teleman

VBAC 2018: Gauge Theory and Complex Geometry
Organizers: Steven Bradlow, Alexander Schmitt, Andrei Teleman

Les calanques