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Posts

Future Blog Post

less than 1 minute read

Published: January 01, 2199

Blog Post number 4

less than 1 minute read

Published: August 14, 2015

Blog Post number 3

less than 1 minute read

Published: August 14, 2014

Blog Post number 2

less than 1 minute read

Published: August 14, 2013

Blog Post number 1

less than 1 minute read

Published: August 14, 2012

portfolio

Portfolio item number 1

Portfolio item number 2

publications

Cohomological obstructions to Nielsen realization

J. Topol. 8 (2015) 2, 352–376.

Pontryagin classes of locally symmetric manifolds

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

On the non-realizability of braid groups by diffeomorphisms

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

Characteristic classes of fiberwise branched covers via arithmetic groups

Michigan Math. J. 67 (2018), 31–58.

Realization problems for diffeomorphism groups

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

Hyperbolic groups with boundary an n-dimensional Sierpinski space

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

Borel’s stable range for the cohomology of arithmetic groups

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

Surface bundles in topology, algebraic geometry, and group theory

with N. Salter AMS Notices, Feb. 2020.

Groups with 2-sphere Bowditch boundary

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

Arithmeticity of the monodromy of some Kodaira fibrations

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

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.

Advice from our advisor: Benson Farb

coordinating editor AMS Notices, Nov 2021.

Geometric cycles and characteristic classes of manifold bundles

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

Arithmeticity of groups Z^n rtimes Z

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

Finite rigid sets and the separating curve complex

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

Symmetries of exotic aspherical space forms

with M. Bustamante Submitted. arXiv:2109.09196

Convex-cocompact subgroups of the Goeritz group

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

Nielsen realization for sphere twists of 3-manifolds

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

Counting flat cycles in the homology of locally symmetric manifolds

with D. Studenmund arxiv: 2206.11986

Symmetries of exotic negatively curved manifolds

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

Mapping class groups of circle bundles over a surface

with L. Chen Michigan Math J., to appear

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

Surface mapping class group actions on 3-manifolds

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

Homotopy-Anosov Z^2 actions on exotic tori

with M. Bustamante arXiv:2408.09346

talks

Talk 1 on Relevant Topic in Your Field

Published: March 01, 2012

Tutorial 1 on Relevant Topic in Your Field

Published: March 01, 2013

Talk 2 on Relevant Topic in Your Field

Published: February 01, 2014

Conference Proceeding talk 3 on Relevant Topic in Your Field

Published: March 01, 2014

teaching

Calculus (Math 131-132-133)

Undergraduate course, University of Chicago, 2013

Multivariable Calculus (Math 21A)

Undergraduate course, Harvard University, 2016

Mapping class groups

Graduate topics course, Harvard University, 2017

Theoretical linear algebra (Math 25A)

Undergraduate course, Harvard University, 2017

Theoretical multivariable calculus (Math 25B)

Undergraduate course, Harvard University, 2018

Theoretical linear algebra (Math 25A)

Undergraduate course, Harvard University, 2018

Theoretical multivariable calculus (Math 25B)

Undergraduate course, Harvard University, 2019

Algebraic topology I (Math 2410)

Graduate course, Brown University, 2019

Algebraic topology II (Math 2420)

Graduate course, Brown University, 2020

Topology (Math 1410)

Undergraduate course, Brown University, 2020

Graph theory (Math 1230)

Undergraduate course, Brown University, 2021

Complex analysis (Math 1260)

Undergraduate course, Brown University, 2021

Signatures in topology, algebra, & dynamics (Math 2720)

Graduate topics course, Brown University, 2022

Graph theory (Math 1230)

Undergraduate course, Brown University, 2023

Differential geometry (Math 1060)

Undergraduate course, Brown University, 2023

Algebraic topology II (Math 2420)

Graduate course, Brown University, 2024

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