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 Kappaminor in Computer Science

Awards

2015
2011
2009

NSF Postdoctoral Fellowship
NSF Graduate Student Research Fellowship
Goldwater Scholarship

Publications

  1. Arithmeticity of the monodromy of some Kodaira fibrations

    with N. Salter, submitted. arxiv:1805.06789

  2. Groups with 2-sphere Bowditch boundary

    with G. Walsh, submitted. arXiv:1710.09018

  3. Geometric cycles and characteristic classes of manifold bundles

    submitted. arXiv:1711.03139

  4. Realization problems for diffeomorphism groups

    with K. Mann, Proc. Georgia Topol. Conf. Accepted

  5. Characteristic classes of fiberwise branched covers via arithmetic groups

    Michigan Math. J. 67 (2018), 31–58.

  6. Hyperbolic groups with boundary an n-dimensional Sierpinski space

    with J. Lafont, J. Topol. Anal. To appear.

  7. On the non-realizability of braid groups by diffeomorphisms

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

  8. Pontryagin classes of locally symmetric manifolds

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

  9. Cohomological obstructions to Nielsen realization

    J. Topol. 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-present
2016
2016, 2014
2014-2015
2012-2015
2012-2013

Directed Reading Program Network, Organizer
Referee for Nagoya Mathematics Journal
Referee for Journal of Topology and Analysis
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

2018











2017




2016



2014
 

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

Irvine, MIT, Temple, UMass-Amherst, Albany, Columbia, UVa, Minnesota, UIC, Madison
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 

2018
2017
2016
2015

Minicourses/Lecture Series

2015

"Topology of diffeomorphism groups," Berkeley graduate student workshop

References

  • Benson Farb
    University of Chicago

  • Michael Hopkins
    Harvard University

  • Danny Calegari
    University of Chicago

  • Andrew Putman
    Notre Dame University

  • Jarek Kedra
    University of Aberdeen