Contact Information
322 Illini Hall, MC-382
1409 W. Green Street
Urbana, IL 61801
Research Areas
Research Description
Differential geometry, gauge theory, holomorphic vector bundles, moduli spaces.
Education
PhD, University of Chicago, 1988
External Links
Recent Publications
Bradlow, S., Branco, L., & Schaposnik, L. P. (2021). Orthogonal Higgs bundles with singular spectral curves. Communications in Analysis and Geometry, 28(8), 1895-1931. https://doi.org/10.4310/CAG.2020.V28.N8.A6
Aparicio-Arroyo, M., Bradlow, S., Collier, B., García-Prada, O., Gothen, P. B., & Oliveira, A. (2019). SO (p, q) -Higgs bundles and Higher Teichmüller components. Inventiones Mathematicae, 218(1), 197-299. https://doi.org/10.1007/s00222-019-00885-2
Aparicio-Arroyo, M., Bradlow, S., Collier, B., García-Prada, O., Gothen, P. B., & Oliveira, A. (2018). Exotic components of SO(p,q) surface group representations, and their Higgs bundle avatars. Comptes Rendus Mathematique, 356(6), 666-673. https://doi.org/10.1016/j.crma.2018.04.024
Bradlow, S., García-Prada, O., Gothen, P., & Heinloth, J. (2018). Irreducibility of moduli of semi-stable chains and applications to U(P, q)-Higgs bundles. In Geometry and Physics: A Festschrift in Honour of Nigel Hitchin (Vol. 2, pp. 455-470). Oxford University Press. https://doi.org/10.1093/oso/9780198802020.003.0018
Bradlow, S. B., & Schaposnik, L. P. (2016). Higgs bundles and exceptional isogenies. Research in Mathematical Sciences, 3, [14]. https://doi.org/10.1186/s40687-016-0062-0