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 am supported by the EPSRC grant Dualities and Correspondences in Algebraic Geometry via Derived Categories and Noncommutative Methods.

I work in algebraic geometry. My research involves understanding algebraic varieties through the lens of their derived category. This leads naturally to investigating the behavior of derived and triangulated categories using techniques ranging from homological algebra to representation theory to noncommutative geometry.

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

Together with Theo Raedschelders I am organizing the workshop The Geometry of Derived Categories which will take place in Liverpool in September 2019.

My current Ph.D. student is Felix Küng. He works on finding new examples of non-fourier-Mukai functors.

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, J. Noncomm. Geom 11/4 (2017) pp. 1267-1287, pdf
On the existence of Fourer-Mukai functors, Mathematische Zeitschrift (2017) Vol. 287, Issue 1, pp 155-179, pdf

Working Seminars
Fall 2018: Working seminar on Fourier-Mukai transforms part 2
Fall 2017: Working seminar on Fourier-Mukai transforms
Fall 2016: Postgraduate reading seminar on homological algebra.
Spring 2014: Joint SISSA/ICTP Working seminar on Bridgeland Stability Conditions. Check out the videos of our lectures!
Fall 2012: Graduate working seminar on Homological Projective Duality.
Spring 2012: Undergraduate learning seminar on Percolation Theory.