Alice Rizzardo

University of Liverpool

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


I am a Senior 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 former Ph.D. student Felix Küng graduated in March 2022. He works on finding new examples of non-Fourier-Mukai functors. He is now a a postdoc at the Université Libre de Bruxelles.

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), Compositio Mathematica 158/6 (2022), 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 American 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
Fall 2024 and Spring 2025: Approximable Triangulated Categories
Fall 2023 and Spring 2024: Homotopy Type Theory
Fall 2022: Our favorite papers
Spring 2020 and Winter 2021: Hodge theory
Spring 2019: Bridgeland stability conditions
Fall 2018: Fourier-Mukai transforms part 2
Fall 2017: Fourier-Mukai transforms
Working seminars I coordinated elsewhere
Fall 2016: Postgraduate reading seminar on homological algebra (University of Edinburgh)
Spring 2014: Working seminar on stability conditions (Joint SISSA/ICTP)
Fall 2012: Graduate working seminar on Homological Projective Duality (SISSA)
Spring 2012: Undergraduate learning seminar on Percolation Theory (Columbia University)


I am quite fond of my old website picture, since I will never take a picture like that ever again. I have immortalized it here.