I am interested in mapping class groups of orientable surfaces. In particular, can a subgroup of the mapping class group with a natural topological or geometric definition be characterized purely algebraically? Does the algebraic characterization reveal properties of the mapping class group? Currently, I would like to characterize the disk-pushing subgroup, handle-pushing subgroup, and braid group inside of their respective mapping class groups.

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**Teaching (Spring 2018):**

- MATH 111L.001,
*LABORATORY CALCULUS I*Synopsis- Carr 137, MWF 08:45 AM-09:35 AM

- MATH 111L.003,
*LABORATORY CALCULUS I*Synopsis- Carr 137, MWF 03:20 PM-04:10 PM

- MATH 111L.01L,
*LABORATORY CALCULUS I*Synopsis- Carr 137, Th 10:30 AM-12:15 PM

- MATH 111L.03L,
*LABORATORY CALCULUS I*Synopsis- West Duke 108B, Th 05:05 PM-06:50 PM

- MATH 112L.002,
*LABORATORY CALCULUS II*Synopsis- West Duke 105, MWF 10:20 AM-11:10 AM

- MATH 112L.02L,
*LABORATORY CALCULUS II*Synopsis- West Duke 105, Tu 10:30 AM-12:15 PM

**Office Hours:****111L**: Tuesday 4-5 in Physics 123**112L**: Tuesday 5-6 in Physics 123

By appointment: Wednesday 2-3 in West Duke 09A

Help Room: Tuesday 2-3 and Wednesday 4:30-5:30

**Education:**Ph.D. University of Chicago 2017

**Keywords:**Education and instruction in mathematics • Geometric group theory