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

Analytic cycles in flip passages and in instanton moduli spaces over non-Kählerian surfaces, to appear in Int. J. Math., arXiv:1501.01651 [math.DG]

A variation formula for the determinant line bundle. Compact subspaces of moduli spaces of stable bundles over class VII surfaces, to appear in Proceedings of the Conference in honor of J. M. Bismut, arXiv:1309.0350 [math.CV].

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, arXiv:1411.4985 [math.DG].

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, arXiv:1312.6295 [math.DG].

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, arXiv:1309.0342 [math.CV].

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, arXiv:1404.1004 [math.SG]

Intrinsic signs and lower bounds in real algebraic geometry, with Ch. Okonek, Journal für die reine und angewandte Mathematik, Issue 688, 219-241, 2014, arXiv:1112.3851 [math.AG]

Infinite bubbling in non-Kählerian geometry, with G. Dloussky, Math. Ann.Vol. 353,   No. 4, 1283-1314,  2012 arXiv:1012.5247

Abelian Yang-Mills theory on Real tori and theta divisors of Klein surfaces, with Ch. Okonek, Comm. Math. Phys. 323, 813-858, 2013, arXiv:1011.1240 [math.AG].

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

Introduction à la théorie de jauge,  Cours Spécialisés, SMF, 2012. Read the introduction: link
 
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. link

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. link

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

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

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

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

Donaldson Theory on non-Kählerian surfaces and class VII surfaces with $b_2=1$, Invent. math. 162, 493-521, 2005. link

A selection of recent articles

 

Géométrie Différentielle
lien
Géométrie et Arithmétique lien
Teaching
 Algèbre et Géométrie M1
lien
 Algèbre et Géométrie L3
lien
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