Alice Rizzardo

Area Matematica

Office: 719
Phone: (+39) 040 3787856
My Curriculum Vitae.

I am a Postdoctoral Research Fellow at SISSA. I graduated from Columbia University in May 2012. My advisor was Johan de Jong. I have held postdoctoral positions at the School of Mathematics of the University of Edinburgh and at MSRI.

I work in Algebraic Geometry, and specifically on derived categories of coherent sheaves on a projective variety. In particular, I have been studying functors between derived categories of coherent sheaves and how they can be expressed in a geometric way. In general, I am interested in investigating the behavior of the derived category of a scheme using techniques ranging from homological algebra to representation theory.

Adjoints to a Fourier-Mukai transform, pdf
An example of a non-Fourier-Mukai functor between derived categories of coherent sheaves (with M. Van den Bergh), pdf
Scalar extensions of derived categories and non-Fourier-Mukai functors (with M. Van den Bergh), Advances in Mathematics (2015), pp. 1100-1144, pdf
Representations of cohomological functors over extension fields, to appear in J. Noncomm. Geom., pdf
On the existence of Fourer-Mukai kernels, pdf

Working Seminars
Spring 2014: I coordinated a joint SISSA/ICTP working seminar on Bridgeland Stability Conditions. Check out the videos of our lectures!
Fall 2012: I coordinated a graduate working seminar on Homological Projective Duality.
Spring 2012: I coordinated an undergraduate learning seminar on Percolation Theory.

Calculus 2, Summer 2012
Calculus 2, Spring 2010
Calculus 1, Fall 2009
Calculus 1, Summer 2009