Matthew R. Ballard
Professor in the Department of Mathematics at USC and a member of the SC AG NT group.

I study algebraic geometry and am particularly interested in questions arising from mirror symmetry. Much of my current work focuses on derived categories and their relation to more classical questions. I am also interested in formal verification, particular of modern mathematics.
For more information about me, see my CV. For a list of my papers, please view the publications page.
For a little of my pedagogical philosophy and experience, see my teaching page. As an extension of teaching, I take pride in mentoring researchers at all stages and I regularly organize mathematical events, even virtual ones. If you are interested in participating in such an event, please contact me.
news
Sep 24, 2023 | Ballard joins Mathlib maintainers |
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Sep 1, 2023 | Ballard awarded an NSF grant |
Mar 31, 2023 | New Arxiv preprint |
Sep 1, 2022 | VandeBogert awarded an NSF DMS postdoc |
Aug 31, 2022 | AMS MRC applications open |
funding
Currently, my research is partially supported by the National Science Foundation. It has also been supported by the Simons Foundation. The work has also benefited from a membership at the Institute for Advanced Study and funding from USC and the Southeastern Conference.
selected publications
- arXivConsequences of the existence of exceptional collections in arithmetic and rationality2020
- JMPAKernels for Grassmann flopsJ. Math. Pures Appl. (9) 2021
- CrelleVariation of geometric invariant theory quotients and derived categoriesJ. Reine Angew. Math. 2019
- Pub. IHESA category of kernels for equivariant factorizations and its implications for Hodge theoryPubl. Math. Inst. Hautes Études Sci. 2014
- Invent. Math.Orlov spectra: bounds and gapsInvent. Math. 2012