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FRANCESCO BOTTACIN

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Position

Professore Ordinario

Address

VIA TRIESTE, 63 - TORRE ARCHIMEDE - PADOVA

Telephone

0498271464

Author of 15 publications in the field of Complex Algebraic Geometry and 3 textbooks.

Keywords: moduli spaces, vector bundles, symplectic structures, Poisson structures, integrable systems

Main research periods abroad:
- University of Paris-Sud (France), january-september 1993
- University of Artois-Pole de Lens (France), september 1993 - september 1994
- University Louis Pasteur, Strasbourg (France), october 1996 - february 1997
- University of California at Davis, Davis (USA), september 1997 - february 1998
- Research Institute for Mathematical Sciences (RIMS), Kyoto University, Kyoto, december 1999 - march 2000

Teaching:
Creation of YouTube channel (https://www.youtube.com/channel/UCpJGeVBfmf-6S3neeImAw1w) with video lectures of a course of Linear Algebra.
Creation of YouTube channel (https://www.youtube.com/channel/UC09W0PH3jmNzMjNu12UPXwQ) with video lectures of a course of Differential Geometry.

Various:
Member of the editorial board of the Journal of Advanced Mathematical Studies, 2008-2012.
President of the Joint Commission Teachers Students of the School of Science at the University of Padua, from 2015.

Notices

Teachings

Research Area

Moduli spaces of sheaves: study of the geometric properties of moduli spaces of sheaves on an algebraic variety.

Symplectic and Poisson geometry: study of varieties equipped with a symplectic or Poisson structure. Symplectic and Poisson structures on moduli spaces of sheaves.

Integrable dynamical systems: study of algebraically completely integrable dynamical systems. Integrable systems defined on moduli spaces of sheaves or on Hilbert schemes of points.

Differential equations of mathematical physics: KdV (KP, etc.) equations. Solution methods based on the theory of theta functions.