Grants per year
Personal profile
Research Interests
Professor Brown primarily works in smooth hyperbolic dynamics, nonuniform hyperbolicity, and smooth ergodic theory. His recent work focuses on smooth group actions. He often applies tools from smooth dynamics and smooth ergodic theory to study rigidity phenomenon for actions of large groups. In particular, he is interested in measure rigidity questions and problems related to the rigidity of lattice actions and the Zimmer program.
Education/Academic qualification
BA, Oberlin College
… → 2004
Mathematics, PhD, Tufts University
Fingerprint
- 1 Similar Profiles
Collaborations and top research areas from the last five years
Grants
- 2 Active
-
RTG: Dynamics: Classical, Modern and Quantum
Kra, B. R., Kra, B. R., Avni, N., Avni, N., Brown, A., Brown, A., Khayutin, I., Khayutin, I., Wunsch, J. & Wunsch, J.
7/1/22 → 6/30/27
Project: Research project
-
Research Output
- 13 Article
-
SMOOTH ERGODIC THEORY OF Zd-ACTIONS
Brown, A., Rodriguez Hertz, F. & Wang, Z., 2023, In: Journal of Modern Dynamics. 19, p. 455-540 86 p.Research output: Contribution to journal › Article › peer-review
Open Access -
C1actions on manifolds by lattices in Lie groups
Brown, A., Damjanović, D. & Zhang, Z., Mar 13 2022, In: Compositio Mathematica. 158, 3, p. 529-549 21 p.Research output: Contribution to journal › Article › peer-review
2 Scopus citations -
Invariant measures and measurable projective factors for actions of higher-rank lattices on manifolds
Brown, A., Hertz, F. R. & Wang, Z., Nov 2022, In: Annals of Mathematics. 196, 3, p. 941-981 41 p.Research output: Contribution to journal › Article › peer-review
2 Scopus citations -
Smoothness of stable holonomies inside center-stable manifolds
Brown, A., Dec 18 2022, In: Ergodic Theory and Dynamical Systems. 42, 12, p. 3593-3618 26 p.Research output: Contribution to journal › Article › peer-review
3 Scopus citations -
Zimmer's conjecture: Subexponential growth, measure rigidity, and strong property (T)
Brown, A., Fisher, D. & Hurtado, S., Nov 2022, In: Annals of Mathematics. 196, 3, p. 891-940 50 p.Research output: Contribution to journal › Article › peer-review
3 Scopus citations