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Brandon Seward Associate Professor of Mathematics University of California San Diego AP&M 5739 bseward@ucsd.edu Curriculum Vitae Pronouns: they/them Course Website: Math 142A Research seminar: Group Actions Seminar Research Interests:
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Publications and Preprints | |
26. | Borel combinatorics of abelian group actions (with S. Gao, S. Jackson, and Edward Krohne) Submitted. [PDF] |
25. | Minimal subdynamics and minimal flows without characteristic measures (with J. Frisch and A. Zucker) Forum of Mathematics, Sigma 12 (2024), e58, 1-10. [PDF] |
24. | Borel asymptotic dimension and hyperfinite equivalence
relations (with C. Conley, S. Jackson, A. Marks, and R. Tucker-Drob) Duke Mathematical Journal 172 (2023), no. 16, 3175-3226. [PDF] |
23. | Bernoulli shifts with bases of
equal entropy are isomorphic Journal of Modern Dynamics 18 (2022), 345-362. [PDF] |
22. | The Koopman representation and
positive Rokhlin entropy International Mathematics Research Notices (2023), no. 1, 350-371. [PDF] |
21. | Continuous combinatorics of
abelian group actions (with S. Gao, S. Jackson, and E. Krohne) To appear in Memoirs of the American Mathematical Society. [PDF] |
20. | Positive entropy actions of
countable groups factor onto Bernoulli shifts Journal of the American Mathematical Society 33 (2020), no. 1, 57-101. [PDF] |
19. | Krieger's finite generator
theorem for actions of countable groups III (with A. Alpeev) Ergodic Theory and Dynamical Systems 41 (2021), no. 10, 2881-2917. [PDF] |
18. | Folner tilings for actions of
amenable groups (with C. Conley, S. Jackson, D. Kerr, A. Marks, and R. Tucker-Drob) Mathematische Annalen 371 (2018), no. 1-2, 663-683. [PDF] |
17. | Hyperfiniteness and Borel
combinatorics (with C. Conley, S. Jackson, A. Marks, and R. Tucker-Drob) Journal of the European Mathematical Society 22 (2020), no. 3, 877-892. [PDF] |
16. | Weak containment and Rokhlin
entropy Submitted. [PDF] |
15. | Cost, l^2-Betti numbers, and the sofic
entropy of some algebraic actions (with D. Gaboriau) Journal d'Analyse Mathematique 139 (2019), 1-65. [PDF] |
14. | Forcing constructions and
countable Borel equivalence relations (with S. Gao, S. Jackson, and Edward Krohne) Journal of Symbolic Logic 87 (2022), no. 3, 873-893. [PDF] |
13. | Krieger's finite generator
theorem for actions of countable groups II Journal of Modern Dynamics 15 (2019), 1-39. [PDF] |
12. | Krieger's
finite generator theorem for actions of countable groups I Inventiones Mathematicae 215 (2019), no. 1, 265-310. [PDF] |
11. | Borel
structurability on the 2-shift of a countable group (with R. Tucker-Drob) Annals of Pure and Applied Logic 167 (2016), no. 1, 1-21. [PDF] |
10. | Every
action of a non-amenable group is the factor of a small action Journal of Modern Dynamics 8 (2014), no. 2, 251-270. [PDF] |
9. | Locally
nilpotent groups and hyperfinite equivalence relations (with S. Schneider) Mathematical Research Letters 31 (2024), no. 2, 511-578. [PDF] |
8. | Arbitrarily
large residual finiteness growth (with K. Bou-Rabee) Journal fur die reine und angewandte Mathematik (Crelle's Journal) 710 (2016), 199-204. [PDF] |
7. | Ergodic
actions of countable groups and finite generating partitions Groups, Geometry, and Dynamics 9 (2015), no. 3, 793-810. [PDF] |
6. | Finite
entropy actions of free groups, rigidity of stabilizers, and a
Howe--Moore type phenomenon Journal d'Analyse Mathematique 129 (2016), no. 1, 309-340. [PDF] |
5. | A
subgroup formula for f-invariant entropy Ergodic Theory and Dynamical Systems 34 (2014), no. 1, 263-298. [PDF] |
4. | Group
colorings and Bernoulli subflows (with S. Gao and S. Jackson) Memoirs of the American Mathematical Society 241 (2016), no. 1141, 1-241. [PDF] |
3. | Generalizing
Magnus' characterization of free groups to some free products (with K. Bou-Rabee) Communications in Algebra 42 (2014), no. 9, 3950-3962. [PDF] |
2. | Burnside's
problem, spanning trees, and tilings Geometry & Topology 18 (2014), no. 1, 179-210. [PDF] |
1. | A
coloring property for countable groups (with S. Gao and S. Jackson) Mathematical Proceedings of the Cambridge Philosophical Society 147 (2009), no. 3, 579-592. [PDF] |