Research group

The research group of algebra and geometry is focused on the following topics.

Research topics

  • Algebraic geometry:
    • Moduli spaces of curves and bundles: Geometry of moduli spaces and their applications;
    • Algebraic Surfaces, classification problems, fibrations and topology;
    • Hodge theory, variation of Hodge structures, period maps, infinitesimal invariants, second fundamental form;
    • Rational function fields and geometric Galois theory.
  • Category theory and homological algebra
  • Derived categories of algebraic varieties and algebraic stacks, Fourier-Mukai functors
  • Triangulated categories and dg-categories, higher category theory
  • Differential geometry and hyperbolic geometry:
    • Teichmueller theory, harmonic maps and minimal Lagrangians, universal Teichmueller space, projective structures, hyperbolic structures with conic singularities;
    • Group actions on Kaehler manifolds, momentum map;
    • Lorentzian geometry, isometric immersions of surfaces, Minkowski problem.
  • Real geometry
    • Analytic spaces;
    • Sums of squares;
    • Regularity of the roots of polynomials.

Upcoming seminars

No event found!

The group organises the Seminars of Algebra and Geometry.

 

Professors and Researchers

Post doc

PhD students

Guests and collaborators

2020

2019

2018

2017

2016