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Teaching, Mentoring, and Service
In Spring 2024 I am teaching Math 354 Section 4: Linear Optimization and Math 442: Introduction to Algebraic Topology. I am an organizer of the Rutgers Topology/Geometry Seminar, the math department coordinator for the DIMACS REU, and the faculty adviser for the Rutgers Student AWM Chapter..
Other Activities
Previous courses:
- Math 311H: Honors Introduction to Real Analysis I
- Math541: Introduction to Algebraic Topology II (Rutgers, Spring 2023)
- Math 354, Section 04: Linear Optimization (Rutgers, Spring 2022)
- Math 540: Algebraic Topology I (Rutgers, Fall 2021)
- Math 311: Introduction to Real Analysis (Rutgers, Spring 2021)
- Math 540: Algebraic Topology I (Rutgers, Fall 2020)
- Math 549: Lie Groups (Rutgers, Spring 2020)
- Math 135: Calculus I (Rutgers, Fall 2019)
- Math 310: Abstract Algebra I and Number Theory (MSU, Spring 2019)
- Math 327H: Honors Introduction to Analysis (MSU, Fall 2018)
- Math 996: Special Topics in Topology (MSU, Spring 2018)
- Math 320: Analysis I (MSU, Fall 2017)
- Math 254H: Honors Multivariable Calculus (MSU, Fall 2017)
- Math 961: Algebraic Topology II (MSU, Spring 2017)
- Math 132, Section 045: Calculus I (MSU, Fall 2016)
- Math 131A: Analysis (UCLA, Spring 2016)
- Math 115A: Linear Algebra (UCLA, Winter 2016)
- Math 32B: Calculus of Several Variables (UCLA, Winter 2016)
- Math 32A: Calculus of Several Variables (UCLA, Fall 2015)
- Math 227A: Algebraic Topology II (UCLA, Spring 2015)
- Math 131A: Analysis. (UCLA, Winter 2015)
- Math 120A: Differential Geometry. (UCLA, Fall 2014)
- Math 1: Precalculus. (UCLA, Fall 2014)
- Math 131B: Analysis. (UCLA, Spring 2014)
- Math 31B: Calculus II. (UCLA, Winter 2014)
- Math 131B: Analysis. (UCLA, Winter 2014)
- Math 131A: Analysis. (UCLA, Fall 2013)
- Math S110D.I: Calculus II (Columbia University, Summer 2011)
- Math V1101.12: Calculus I (Columbia University, Fall 2010)
Postdoctoral supervision:
- A. Mallick. Current.
- K. Raoux (co-supervised with M. Hedden, Fall 2017-Spring 2021). Currently an assistant professor at the University of Arkansas.
Graduate supervision:
Undergraduate research supervision through Rutgers's DIMACS REU:
- Concordance invariants of satellite knots, Summer 2023. Co-supervised with A. Mallick.
- Relationships between combinatorial knot invariants, Summer 2021. This project led to this paper, now published by Rose-Hulman Undergraduate Mathematics Journal.
- Algebraic invariants of pretzel knots, Summer 2020. This project led to this paper, now published by Journal of Knot Theory and its Ramifications.
Undergraduate research supervision through MSU's Exchange Research Program:
- Combinatorial knot Floer homology and immersed curves, Fall 2017. Co-mentored with K. Raoux.
Undergraduate research supervision as a TA for the Columbia Topology REU:
- Heegaard Floer Homology and the Fundamental Group, Summer 2013. Project Head: Jen Hom. This project led to this paper.
- Knot Floer Homology and Concordance, Summer 2012. Project Heads: Jen Hom and Peter Horn. This project led to this paper.
- Knot Floer Homology: Properties and Computations, Summer 2011. Project Head: Jen Hom. This project led to this paper.
Invited minicourses:
Conference organization:
Notable outreach:
- In Summer 2018 and 2019 I ran a weeklong free-for-the-participants Girls' Topology Camp for middle school aged girls at MSU.
- In Spring 2018 I presented at the Spartan Girls' Math and Science Day.
Past organizational roles:
- From April-October 2020 I co-organized the Trends in Low-Dimensional Topology Seminar.
- From Fall 2016-Spring 2019 I co-organized the MSU Geometry and Topology Seminar.
- In Spring 2015 I organized the UCLA Topology Seminar.
- From Fall 2011 to Spring 2013, I co-organized the Columbia Graduate Topology Seminar.
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