Algebraic Geometry
Complex Analysis and Geometry
Moduli spaces of vector bundles on projective and complex varieties
Sheaves on toric varieties
Interactions between Algebraic Geometry,
Differential Geometry and Theoretical Physics
Computations for moduli problems in Algebraic Geometry
Main publications:
1. I. Coanda, G. Trautmann: The Splitting Criterion of Kempf and the Babylonian Tower Theorem. Communications of Algebra 34 (2006), 2485-2488.
2. I. Coanda, G. Trautmann: Horrocks Theory and the Bernstein-Gelfand-Gelfand Correspondence. Transactions of the AMS 358 (2005), 1015-1031.
3. H.G. Freiermuth, G. Trautmann: On the Moduli Scheme of Stable Sheaves Supported on Cubic Space Curves. American Journ. of Mathematics 126 (2004), 363-393.
4. I. Coanda, A. Tikhomirov, G. Trautmann: Irreducibility and Smoothness of the Moduli Space of Mathematical 5-Instantons over P3. Intern. Journ. of Mathematics 14 (2003), 1-45.
5. J. M. Drezet, G. Trautmann: Moduli spaces of decomposable morhpisms of sheaves and quotients by non-reductive groups. Ann. Inst. Fourier, Grenoble 53 (2003), 97-107.
6. G. Ottaviani, G. Trautmann: The tangent space of a special symplectic instanton bundle on P2n+1. manuscripta math. 85 (1995), 97-107.
