Alice Rizzardo

University of Liverpool

Office: 525
Phone: (+44) 0151 795 8001
Email: alice.rizzardo@liverpool.ac.uk
My Curriculum Vitae.


I am a Lecturer at the University of Liverpool.

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.

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

Here is the calendar of the Liverpool Algebraic Geometry group.

Papers
New examples of non-Fourier-Mukai functors (with T. Raedschelders and M. Van den Bergh), arxiv
A k-linear triangulated category without a model (with M. Van den Bergh), Annals of Mathematics 191 (2020), arxiv
A note on non-unique enhancements (with M. Van den Bergh), Proceedings of the Amer- incan Mathematical Society 147 (2019), arxiv
Adjoints to a Fourier-Mukai transform, Advances in Mathematics (2017), Vol. 322, pp 83-96, arxiv
An example of a non-Fourier-Mukai functor between derived categories of coherent sheaves (with A. Neeman and M. Van den Bergh), Inventiones Mathematicae 216/3 (2019), arxiv
Scalar extensions of derived categories and non-Fourier-Mukai functors (with M. Van den Bergh), Advances in Mathematics (2015), pp. 1100-1144, arxiv
Representations of cohomological functors over extension fields, J. Noncomm. Geom 11/4 (2017) pp. 1267-1287, arxiv
On the existence of Fourer-Mukai functors, Mathematische Zeitschrift (2017) Vol. 287, Issue 1, pp 155-179, arxiv

Working Seminars
Spring 2020: Working seminar on Hodge theory
Spring 2019: Working seminar on Bridgeland stability conditions
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 stability conditions.
Fall 2012: Graduate working seminar on Homological Projective Duality.
Spring 2012: Undergraduate learning seminar on Percolation Theory.