Alice Rizzardo

University of Liverpool

Office: 525
Phone: (+44) 0151 795 8001
My Curriculum Vitae.

I am a Lecturer at the University of Liverpool.
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.

I am the recipient of the EPSRC grant Dualities and Correspondences in Algebraic Geometry via Derived Categories and Noncommutative Methods.

I have held postdoctoral positions at the University of Edinburgh, at SISSA and at MSRI.

A k-linear triangulated category without a model (with M. Van den Bergh), arxiv
A note on non-unique enhancements (with M. Van den Bergh), to appear in Proceedings of the American Mathematical Society, arxiv
Adjoints to a Fourier-Mukai transform, Advances in Mathematics (2017), Vol. 322, pp 83-96, 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 functors, Mathematische Zeitschrift (2017) Vol. 287, Issue 1, pp 155179, pdf

Working Seminars
Fall 2017: I coordinated a Working seminar on Fourier-Mukai transforms.
Fall 2016: I coordinated a postgraduate reading seminar on homological algebra.
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.