Homotopy-Anosov Z^2 actions on exotic tori, *with M. Bustamante*

arXiv:2408.09346

- Ph.D in Mathematics , University of Chicago, 2015
- Advisor: Benson Farb
- Thesis: Obstructions to realizing mapping classes by diffeomorphisms

- B.S. in Mathematics, Washington and Lee University, 2010
- summa cum laude, Phi Beta Kappa, minor in computer science

- 2024-present: Joukowsky Family Assistant Professor, Brown University
- 2019-2024: Assistant Professor, Brown University
- 2016-2019: Benjamin Peirce Fellow, Harvard University
- 2015-2016: NSF Postdoctoral Fellow, Stanford University

- 2023: NSF career grant DMS-2236705
- 2021: NSF grant (Topology) DMS-2104346
- 2015: NSF Postdoctoral Fellowship DMS-1502794
- 2011: NSF Graduate Student Research Fellowship DGE-114408
- 2009: Goldwater Scholarship

Homotopy-Anosov Z^2 actions on exotic tori,

*with M. Bustamante*arXiv:2408.09346

Surface mapping class group actions on 3-manifolds,

*with A. al Beaini and L. Chen*Submitted. arxiv:2311.15508

Mapping class groups of exotic tori and actions by SL(d,Z),

*with M. Bustamante, M. Krannich, A. Kupers*Trans. Amer. Math. Soc., to appear

Mapping class groups of circle bundles over a surface,

*with L. Chen*Michigan Math J., to appear

Symmetries of exotic negatively curved manifolds,

*with M. Bustamante*J. Diff. Geom. 120 (2022) 2, 231-250.

Counting flat cycles in the homology of locally symmetric manifolds,

*with D. Studenmund*arxiv: 2206.11986

Nielsen realization for sphere twists of 3-manifolds,

*with L. Chen*Israel J. Math., to appear

Convex-cocompact subgroups of the Goeritz group,

Trans. Amer. Math. Soc. 377 (2024), no. 1, 271–322.

Symmetries of exotic aspherical space forms,

*with M. Bustamante*Submitted. arXiv:2109.09196

Finite rigid sets and the separating curve complex,

*with J. Huang*Topology Appl. 312 (2022).

Arithmeticity of groups Z^n rtimes Z,

Indiana Univ. Math. J. 71 (2022) 4, 1797-1818.

Geometric cycles and characteristic classes of manifold bundles,

*with appendix by M. Krannich*Comment. Math. Helv. 96 (2021) 1, 1-45.

Characteristic classes of bundles of K3 manifolds and the Nielsen realization problem,

*with J. Giansiracusa and A. Kupers*Tunis. J. Math. 3 (2021) 1, 75-92.

Arithmeticity of the monodromy of some Kodaira fibrations,

*with N. Salter*Compositio Math. 156 (2020) 1, 114-157.

Groups with 2-sphere Bowditch boundary,

*with G. Walsh*Groups Geom. Dyn. 14 (2020) 3, 791-811.

Borel's stable range for the cohomology of arithmetic groups,

J. Lie Theory. 29(2019) 4, 1093-1102.

Hyperbolic groups with boundary an n-dimensional Sierpinski space,

*with J. Lafont*J. Topol. Anal. 11 (2019) 1, 233–247.

Characteristic classes of fiberwise branched covers via arithmetic groups,

Michigan Math. J. 67 (2018), 31–58.

On the non-realizability of braid groups by diffeomorphisms,

*with N. Salter*Bull. Lond. Math. Soc., 48 (2016) 3, 457–471.

Pontryagin classes of locally symmetric manifolds,

Algebr. Geom. Topol. 15 (2015) 5, 2709-2756.

Cohomological obstructions to Nielsen realization,

J. Topol. 8 (2015) 2, 352–376.

Advice from our advisor: Benson Farb,

*coordinating editor*AMS Notices, Nov 2021.

Surface bundles in topology, algebraic geometry, and group theory,

*with N. Salter*AMS Notices, Feb. 2020.

Realization problems for diffeomorphism groups,

*with K. Mann*Proc. Sympos. Pure Math. 102 (2019) 131-156.

- 2024
- Ceresa cycle in arithmetic and geometry (ICERM)
- Spring topology and dynamics conference (Charlotte)
- Seminars: Tufts, Wesleyan

- 2023
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Algebraic topology II (Math 2420),

*Brown University*, 2024Differential geometry (Math 1060),

*Brown University*, 2023Graph theory (Math 1230),

*Brown University*, 2023Signatures in topology, algebra, & dynamics (Math 2720),

*Brown University*, 2022Complex analysis (Math 1260),

*Brown University*, 2021Graph theory (Math 1230),

*Brown University*, 2021Topology (Math 1410),

*Brown University*, 2020Algebraic topology II (Math 2420),

*Brown University*, 2020Algebraic topology I (Math 2410),

*Brown University*, 2019Theoretical multivariable calculus (Math 25B),

*Harvard University*, 2019Theoretical linear algebra (Math 25A),

*Harvard University*, 2018Theoretical multivariable calculus (Math 25B),

*Harvard University*, 2018Theoretical linear algebra (Math 25A),

*Harvard University*, 2017Mapping class groups,

*Harvard University*, 2017Multivariable Calculus (Math 21A),

*Harvard University*, 2016Calculus (Math 131-132-133),

*University of Chicago*, 2013

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