Starter grant  funded by the ERC, held at the University of Edinburgh Hodge Institute

Duration: November 2017 to May 2023

To facilitate the work of the group, we run a biweekly working/research seminar

This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant agreement No. 759967)

The team

• Francesca Carocci, Postdoc 2018-2020 Working on projects across Gromov-Witten theory and DT theory, including a project with Sjoerd Beentjes on the cohomological strong rationality conjetcure

• Travis Mandel, postdoc 2018-2020 Working on scattering diagrams, Gromov-Witten theory and positivity problems for quantum cluster algebras

• Sjoerd Beentjes, postdoc 2018-2019 + 2020-2021 Since arriving Sjoerd has been leading work under project 4 (DT invariants for CY3s)of my ERC starter grant “CatDT”.  In addition he has been doing self-conducted research on independent projects on K3 surfaces, along with projects with one of my collaborators in Trieste, Andrea Ricolfi, on the DT/PT correspondence

• Tomasz Przezdziecki, postdoc 2019- Working on a variety of projects across geometric representation theory, including Hall algebras and KLR algebras

• Lucien Hennecart, postdoc 2021- Working on a variety of projects concerning Kac polynomials of quivers and more exotic smooth categories, as well as nonabelian Hodge theory and Higgs bundles

• Alexandre Minets, postdoc 2021- Working on a variety of projects spanning cohomological Hall algebras associated to Higgs bundles and KLR algebras, along with their 3d enhancements

• Sebastian Schlegel-Mejia, PhD student 2019- Working on Higgs bundles and DT theory

• Shivang Jindal, PhD student 2021- Working on cohomological DT theory, Hilbert schemes, and geometric representation theory