# Employment

2016-

2015

**Benjamin Peirce Fellow**, Harvard University**NSF Postdoctoral Fellow**, Stanford University

# Education

2015

2010

**Ph.D. Mathematics**, University of Chicago

Advisor: Benson Farb

Thesis: *Obstructions to realizing mapping classes by diffeomorphisms***B.S. Mathematics**, Washington and Lee University

summa cum laude, Phi Beta Kappa*, *minor in Computer Science

# Awards

2015

2011

2009

NSF Postdoctoral Fellowship

NSF Graduate Student Research Fellowship

Goldwater Scholarship

# Research articles

- Borel's stable range for the cohomology of arithmetic groups
**submitted**. arxiv:1904.04902 - Symmetries of exotic negatively curved manifolds
with M. Bustamante,

**submitted**. arxiv:1901.00815 - Arithmeticity of the monodromy of some Kodaira fibrations
with N. Salter,

**submitted**. arxiv:1805.06789 - Geometric cycles and characteristic classes of manifold bundles
**submitted**. arXiv:1711.03139 - Groups with 2-sphere Bowditch boundary
with G. Walsh, accepted to

**Groups Geom. Dyn.**arXiv:1710.09018 - Realization problems for diffeomorphism groups
with K. Mann, accepted to

**Proc. Georgia Topol. Conf.** - Characteristic classes of fiberwise branched covers via arithmetic groups
**Michigan Math. J.**67 (2018), 31–58. - Hyperbolic groups with boundary an n-dimensional Sierpinski space
with J. Lafont, to appear in

**J. Topol. Anal.** - 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.

# Teaching

2019

2018

2017

2016

2013-14

2016-present

2014-present

2014-2015

2012-2015

2012-2013

Directed Reading Program Network, Organizer

Referee for Nagoya Math J, Michigan Math J, G&T, AGT, JTA

Upward Bound Saturday-school instructor to 24 CPS students

UChicago Directed Reading Program committee member, mentored 6 students

UChicago REU, mentored 8 students

# Conference talks

2019

2018

2017

2016

2014

4-manifolds: confluence of high/low dimensions (Fields Institute)

Redbud topology conference (Norman, OK)

Spring Topology and Dynamics Conference (Birmingham, AL)

AMS Sectional Session on Groups in low dimensional topology (Fayetteville, AR)

Hamilton Geometry and Topology Workshop (Dublin)

Summer conference on topology and applications (Bowling Green, KY)

Young topologists meeting (Copenhagen)

Glances@Manifolds (Krakow)

Manifolds, groups, and homotopy (Skye, Scotland)

AMS Sectional Session on Boundaries and nonpositive curvature in group theory (Vanderbilt)

AMS Sectional Session on Symmetry in differential geometry (Ohio State)

Structure of 3-manifold groups (CIRM)

Joint Math Meetings (San Diego):

Special session on research from the SMALL REU

Special session on boundaries for groups and spaces

Canadian Math Society Winter meeting (Waterloo)

Math Congress of Americas (Montreal)

Cohomology of arithmetic groups masterclass (Copenhagen)

G^3 conference (Pensacola)

Spring Topology and Dynamics Conference (Jersey City)

Surface bundles (Oberwolfach)

Surgery and Geometry (Banff)

Workshop on group actions (Fields Institute)

Cornell topology festival

Wasatch topology conference (Park City)

Topological methods in group theory (Ohio State)

# Seminar Talks

UCSD, Tufts, Michigan, Ohio State

Irvine, MIT, Temple, UMass, Albany, Columbia, UVa, Minnesota, UIC, Rutgers, Madison, Brown

MIT, Boston College, Madison, Notre Dame, Northwestern, Brandeis, Northeastern, Brown

Purdue, Tufts, Binghamton, Boston U

LMU Munich, Northwestern, Indiana, Stanford, Berkeley, Rice, Ohio State, Purdue

2019

2018

2017

2016

2015

# Minicourses/Lecture Series

2015

"Topology of diffeomorphism groups," Berkeley graduate student workshop

# References

**Benson Farb**

University of Chicago**Danny Calegari**University of Chicago**Michael Hopkins**Harvard University**Jarek Kedra**University of Aberdeen**Andrew Putman**

Notre Dame University