# Employment

2016-

2015

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

# Education

2015

2010

**Ph.D. Mathematics**, University of Chicago**B.S. Mathematics**, Washington and Lee University

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

# Awards

2015

2011

2009

**NSF Postdoctoral FellowshipNSF Graduate Student Research Fellowship**

**Goldwater Scholarship**

# Publications

**Realization problems for diffeomorphism groups**with K. Mann, arXiv:1802.00490

**Groups with 2-sphere Bowditch boundary**Submitted. arXiv:1710.09018

**Geometric cycles and characteristic classes of manifold bundles**Submitted. arXiv:1711.03139

**Characteristic classes of fiberwise branched covers via arithmetic groups**Mich. Math. J. to appear.

**Hyperbolic groups with boundary an n-dimensional Sierpinski space**with J. Lafont, J. Topol. Anal. to appear.

**On the non-realizability of braid groups by diffeomorphisms**with N. Salter, Bulletin of the London Mathematical Society, 48 (2016) 3, 457–471.

**Pontryagin classes of locally symmetric manifolds**Algebraic and Geometric Topology 15 (2015) 5, 2709-2756.

**Cohomological obstructions to Nielsen realization**Journal of Topology 8 (2015) 2, 352-376.

# Teaching

2018

2017

2016

2013-14

Spring: Math 25b (honors linear algebra and real analysis II)

Fall: Math 25a (honors linear algebra and real analysis I)

Spring: Mapping class groups (topics course)

Fall: Math 21a (Multivariable calculus, Harvard)

Math 131-132-133 (Calculus, U. Chicago)

# Service

2016

2016, 2014

2014-2015

2012-2015

2012-2013

Referee for Nagoya Mathematics Journal

Referee for Journal of Topology and Analysis

Upward Bound Saturday-school instructor to 24 Chicago public high school students

Directed Reading Program committee member and mentor for 6 students at UChicago

REU mentor for 8 students at UChicago

# Conference talks

2018

2017

2016

2014

AMS Sectional (Ohio State)

Special session on Symmetry in Differential Geometry

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)

# Minicourses/Lecture Series

2015

"Topology of diffeomorphism groups", Berkeley graduate student workshop, 5 lectures

# Invited Talks

2018

2017

2016

2015

Irvine, MIT

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

# References

**Benson Farb**

Professor of Mathematics

University of Chicago**Danny Calegari**

Professor of Mathematics

University of Chicago**Mladen Bestvina**

Professor of Mathematics

University of Utah**Jean-Francois Lafont**

Professor of Mathematics

Ohio State University**Andrew Putman**

Professor of Mathematics

Notre Dame University