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
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