My Publications and List of Talks are on separate webpages.
2016-present, Assistant Professor, University of Notre Dame
2012-2016, Advanced Researcher at the Max Planck Institute for Mathematics, Bonn, Germany
2010–2012, CLE Moore Instructor and NSF Postdoctoral Fellow, Massachusetts Institute of Technology, Cambridge, MA
2009–2010, NSF Postdoctoral Fellow, Harvard University, Cambridge, MA
Summer 2009, Postdoctoral Fellow, Max Planck Institute for Mathematics, Bonn, Germany
2009 Ph. D. in Mathematics, University of California, Berkeley. Advisor: P. Teichner. Thesis: “The classification of Two-Dimensional Extended Topological Field Theories”
2003 B.S. in Mathematics, Harvey Mudd College. Advisor: W. Gu. Thesis: “Cayley Manifolds in the Calabi-Yau 4-Torus”
1999 High School Diploma, South Eugene High School (Eugene OR).
Awards and Honors
2012-2014 AMS-Simons Travel Grant
2009-2012 National Science Foundation Mathematical Sciences Postdoctoral Research Fellowship
2009 Herb Alexander Prize for outstanding doctoral dissertation
2003 Chavin Prize for outstanding mathematics thesis (undergraduate)
Given over 100 invited talks
See my comprehensive list
Member of Scientific Committee of the Max-Planck Institute for Mathematics
Active participant since Fall 2013 (7 sessions)
Co-organized Midwest Topology Seminar, Winter 2017
Co-organized Higher Structures 2015
Co-organized West Coast Algebraic Topology Summer School 2014 (topic: topological field theories)
2016-Present Co-organized Notre Dame Topology Seminar
2016 Principal organizer for Cobordism Hypothesis Seminar at MPIM
2014-2016 Co-organized weekly topology seminar at MPIM
2012-2013 Co-organized weekly student seminar on higher category theory (with P. Teichner) at MPIM
2011 Co-organized weekly summer seminar on Quantum Field Theory (with K. Ormsby) at MIT
2004 Co-organized weekly graduate student seminar Many Cheerful Facts at UC Berkeley.
Refereed for numerous mathematics journals
(list available by request)
Supervision of Students and Postdocs
I supervised Piotr Pstra?gowski during his master’s degree, which he obtained in the Summer of 2014 from the University of Bonn.
I mentored the following Postdocs at the MPIM: Tobias Barthel, Rune Haugseng, Drew Heard, and Claudia Scheimbauer.
Designed and taught topics course
Bordism: Old and New (Transversality, Pontryagin-Thom, h-principle, connections to cobordism hypothesis)
University of Bonn, 2013. Bordism Old and New
Designed and taught mini-courses
- 2014 July. The Galatius-Madsen-Tilmann-Weiss Theorem (3 hours of course lectures) International Max-Planck Research School on Moduli Spaces
- 2014 March. Structures on tensor categories inspired by local topological field theory (6 hours of course lectures). Erlangen, Germany
- 2013 Jan. Dualizability in Low-Dimensional Higher Category Theory (6 hours of course lectures) Hamburg, Germany
- 2012 May. Dualizablility in Low-Dimensional Higher Category Theory (4 hours of course lectures) Thematic Program on Topology and Field Theories, Notre Dame University.
- 2011 Feb. Two-dimensional extended topological field theory (6 hours of course lectures). Workshop and school on higher gauge theory, TQFT, and Quantum Gravity, Lisbon, Portugal.