University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
wall-crossing and vertex algebras
I am in the final year of my PhD. I am supported by the Simons Collaboration on Special Holonomy. My supervisor is Dominic Joyce.
C3.3 Differentiable Manifolds. Tutor, Michaelmas term 2019.
2019 Nairobi Workshop in Algebraic Geometry. Teaching Assistant, September 2019.
B3.3 Algebraic Curves. Teaching Assistant, Hilary term 2018.
C3.3 Differentiable Manifolds. Teaching Assistant, Michaelmas term 2018.
C3.6 Modular Forms. Teaching Assistant, Hilary term 2018.
B2.2 Commutative Algebra. Teaching Assistant, Hilary term 2018.
Prizes, awards, and scholarships:
Visiting researcher, Kavli Institute for the Mathematics and Physics of the Universe, July-August 2019.
Affiliate member, Centre for Quantum Geometry of Moduli Spaces, October 2018 - August 2019.
PhD scholarship, Simons Collaboration on Special Holonomy in Geometry, Analysis, and Physics, October 2017 - March 2021.
Major / recent publications:
Orientability of moduli spaces of Spin(7)-instantons and coherent sheaves on Calabi–Yau 4-folds
Y. Cao, J. Gross, D. Joyce
to appear in Advances in Mathematics 368, 2020.
Universal structures in C-linear enumerative invariant theories
J. Gross, D. Joyce, Y. Tanaka
Homology of moduli stacks of complexes