Research Assistant Professor

From September 2010 through August 2013, I was a Research Assistant Professor at the Simons Center for Geometry and Physics at Stony Brook University. I completed my Ph.D. at the Stanford Mathematics Department under the supervision of Ralph Cohen. My interests lie in algebraic topology, homological algebra, and category theory.

My academic research has focused on relating the algebraic structures of string topology to the Hochschild homology and cohomology of based loop spaces.

- "String topology and the based loop space." Preprint, condensed version of Ph.D. thesis, also available at arXiv:1103.6198.
- Ph.D. Thesis: "String Topology and the Based Loop Space." Submitted August 2010.

I also have interests in related fields, including topological field theories and higher category theory. For older research projects, please view my research webpage.

My past and upcoming teaching assignments:

- Spring 2013: Instructor, MAT 303, Calculus IV with Applications.
- Fall 2011: Instructor, MAT 122, Overview of Calculus, with Applications.
- Spring 2011: Instructor, MAT 125, Calculus A.

- Summer 2010: Teaching Fellow, Math 19, Calculus.
- Spring 2010: Course Assistant, Math 210C, Modern Algebra: Representation Theory.
- Winter 2010: Teaching Assistant, Math 51, Linear Algebra and Differential Calculus of Several Variables.
- Autumn 2009: Teaching Assistant, Math 51, Linear Algebra and Differential Calculus of Several Variables, ACE Section.
- Winter 2009: Teaching Assistant, Math 51, Linear Algebra and Differential Calculus of Several Variables.
- Autumn 2008: Course Assistant, Math 115, Functions of a Real Variable.

In June 2009, I received a Stanford University Centennial Teaching Assistant Award. For 2005–2008, I was supported by an NDSEG Fellowship and had no teaching responsibilities. For other past teaching activities, please view my teaching webpage.

Along with Dean Baskin, I co-organized the 2009–10 Student Research Colloquium, a weekly lunchtime seminar giving advanced graduate students an opportunity to present their research to a general mathematical audience.

In 2006–07, I organized the Faculty Areas of Research Seminar.

Past and upcoming talks:

- "Topological K-Theory." Postdoc Seminar, Simons Center for Geometry and Physics, Stony Brook University, November 2012.
- "String Topology and Poincaré Duality." Young Topologists Meeting, University of Copenhagen, July 2012.
- "Introduction to A-infinity Structures." Postdoc Seminar, Simons Center for Geometry and Physics, Stony Brook University, March 2012.
- "String Topology and the Based Loop Space." Topology Seminar, New Mexico State University, December 2011.
- "Unraveling String Topology." Department Colloquium, New Mexico State University, December 2011
- "String Topology and the Based Loop Space." Structured Ring Spectra, TNG, University of Hamburg, August 2011. Slides.
- "String Topology and the Based Loop Space." Young Topologists Meeting, EPFL, Switzerland, June 2011.
- "String Topology and the Based Loop Space." Thesis defense, Stanford University, May 2010.
- "String Topology and the Based Loop Space." Cascade Topology Seminar, Banff International Research Station, April 2010.
- "String Topology and the Based Loop Space." Topology Seminar, Department of Mathematics, University of California–Berkeley, March 2010.
- "String Topology and the Based Loop Space." Topology Seminar, Department of Mathematical Sciences, University of Copenhagen, January 2010.
- "Unraveling String Topology." Student Research Colloquium, Stanford University Mathematics Department, December 2009.
- "String Topology and the Based Loop Space." AMS Western Section Meeting, University of California at Riverside, November 2009. (My slides.)
- "String Topology via the Chains of the Based Loop Space." International Conference on Loops, Strings, and Moduli Spaces, Nankai University, Tianjin, China, August 2009.
- "An Introduction to String Topology." Graduate Student Topology Conference, University of Wisconsin-Madison, April 2009.
- "String Topology and Hochschild Homology." Oral examination presentation, Stanford University Mathematics Department, August 2008.
- "Group Extensions and Group Cohomology." Graduate Student Colloquium, Stanford University Mathematics Department, April 2008.
- "String Topology and Hochschild Homology." Topology Progress Seminar, Stanford University Mathematics Department, February/March 2008.
- "Decimation-in-frequency Fast Fourier Transforms for the Symmetric Group." AMS-MAA-SIAM Special Session on Research in Mathematics by Undergraduates, Joint Mathematical Meetings, Atlanta, January 2005.
- "Are Fingerprints Unique?" Joint work with S. Avery, E. Harley. SIAM Annual Meeting, July 2004.

Past and upcoming conferences attended:

- Joint Mathematics Meetings, San Diego, January 2013.
- Algebraic Topology: Applications and New Directions, Stanford University, July 2012.
- West Coast Algebraic Topology Summer School 2012: Advances in K-theory, Stanford University, July 2012.
- Young Topologists Meeting, University of Copenhagen, July 2012.
- Homotopical Algebra and Its Applications, LUMINY, June 2012.
- Midwest Topology Seminar, Northwestern University, March 2012.
- Joint Mathematics Meetings, Boston, January 2012.
- Structured Ring Spectra, University of Hamburg, August 2011.
- Young Topologists Meeting, EPFL, Switzerland, June 2011.
- Algebra, Topology, and Fjords Summer School, Sophus Lie Center, Nordfjordeid, Norway, June 2011.
- Dennisfest 70: Geometric and Algebraic Structures in Mathematics, Stony Brook University, May 2011.
- Midwest Topology Seminar, University of Chicago, April 2011.
- Workshop on Differential Cohomology, Simons Center for Geometry and Physics, Stony Brook, January 2011.
- Midwest Topology Seminar, Wayne State University, October 2010.
- Cascade Topology Seminar, Banff International Research Station, April 2010.
- AMS-MAA Joint Mathematics Meetings, San Francisco, CA, January 2010.
- Copenhagen Topology Conference, University of Copenhagen, January 2010.
- AMS Western Regional Meeting, University of California at Riverside, November 2009.
- International Conference on Loops, Strings, and Moduli Spaces, Nankai University, Tianjin, China, August 2009.
- Topological Field Theories Conference and Workshop, Northwestern University, May 2009.
- Graduate Student Topology Conference, University of Wisconsin-Madison, April 2009.
- Third Arolla Conference on Algebraic Topology, Arolla, Switzerland, August 2008.
- Young Persons Workshop on String Topology and the Topology of Moduli Spaces, Stanford University, March 2008.
- Abel Symposium on Algebraic Topology, University of Oslo, August 2007.
- Graduate Student Topology Conference, University of Chicago, April 2007.
- AMS-MAA Joint Mathematics Meetings, Atlanta, GA, January 2005.
- SIAM Annual Meeting, Portland, OR, July 2004.

Last modified: 28 Jan 2013