Matthew R. Ballard
Professor in the Department of Mathematics at UofSC 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.
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.
|Sep 1, 2022||VandeBogert awarded an NSF DMS postdoc|
|Aug 31, 2022||AMS MRC applications open|
|Mar 31, 2022||Ballard wins UofSC Garnet Apple for Teaching Innovation|
|Jul 1, 2021||Lamarche awarded an NSF DMS postdoc|
|Jun 22, 2020||Ballard awarded an Simons Foundation grant|
Currently, my research is partially supported by the Simons Foundation. It has also been supported by the National Science Foundation. The work has also benefited from a membership at the Institute for Advanced Study and funding from UofSC and the Southeastern Conference.
- 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