Contact Information
322 Illini Hall, MC-382
1409 W. Green Street
Urbana, IL 61801
Research Description
Differential geometry, gauge theory, holomorphic vector bundles, moduli spaces.
Education
PhD, University of Chicago, 1988
External Links
Recent Publications
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). Composantes exotiques des variétés de représentations du groupe fondamental d'une surface dans SO(p,q) et les fibrés de Higgs correspondants. 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. Res. Math. Sci., 3, Paper No. 14, 28. https://doi.org/10.1186/s40687-016-0062-0
Bradlow, S. B., García-Prada, O., & Gothen, P. B. (2015). Higgs bundles for the non-compact dual of the special orthogonal group. Geometriae Dedicata, 175(1), 1-48. https://doi.org/10.1007/s10711-014-0026-8