Department of Mathematics
I am a Ritt Assistant Professor in the Department of Mathematics at Columbia University. Previously, I was an NSF Postdoctoral Fellow at Columbia University and at MIT. In 2016 I received my Ph.D. from Princeton University under the supervision of Peter Ozsváth and Zoltán Szabó.
My research interests lie in low-dimensional topology, specifically the connections between Heegaard Floer homology, knot theory and Khovanov homology.
I co-organize the Columbia Symplectic Geometry, Gauge Theory, and Categorification Seminar.
Office: 427 Mathematics
This fall/winter 2018, I'll attend the following conferences:
◦ Knotted Surfaces in 4-manifolds at the University of Massachusetts, Amherst
◦ Homological Mirror Symmetry Annual Meeting at the Simons Foundation
◦ Tech Topology Conference at the Georgia Institute of Technology
◦ Virginia Topology Conference at the University of Virginia
◦ MATRIX Topology Interactions at the University of Melbourne
My research interests lie in low-dimensional topology, specifically the connections between Heegaard Floer homology, knot theory and Khovanov homology.papers
An infinite rank summand of the homology cobordism group
with I. Dai, J. Hom, and M. Stoffregen.
Truncated Heegaard Floer homology and knot concordance invariants.
More concordance homomorphisms from knot Floer homology
with I. Dai, J. Hom, and M. Stoffregen. In preparation.
Extremal Measures and Clockwise Overlays
with H. Bercovici and W.S. Li
Discrete Mathematics, Vol. 315-316, (2014), 53-64.
fall 2018I am currently teaching Calculus I and Intro to Higher Mathematics.
Fall 2017: Calculus I.
Fall 2014: Multi-variable Calculus.
In the summer of 2018, I jointly supervised an undergraduate research project in the Columbia REU.
outreach and mentorship
The Association for Women in Mathematics mentor network at Columbia University matches faculty and graduate student mentors with women undergraduates majoring in mathematics.
The Columbia Undergraduate Mathematics Society brings together undergraduates studying mathematics in this weekly seminar.
STEM outreach entails bringing science to K-12 students and the broader public and is vital to spark interest in STEM careers for K-12 students and improve the public's science literacy. With this in mind, the Office of Postdoctoral Affairs organized a STEM outreach colloquium in partnership with the NYC Department of Education. The event took place in the evening of March 27th, 2018, and featured 4 selected talks by postdocs, followed by a networking session. The audience comprised of high school students and teachers that belong to the NYC Department of Education's High School Science Research Pathways Program as well as postdocs and PhD students from Columbia.
The Women in Science at Columbia (WISC) Graduate Research Symposium is a multi-disciplinary research conference that aims to highlight and celebrate emerging research conducted by women graduate students in the science, technology, engineering, and math fields. The format of the symposium is designed to encourage discussion across an array of STEM disciplines by sharing the details of current research and placing them in a broader context, making connections and engaging in research networking.
The Scientista Symposium is an intercollegiate conference for women in STEM that brings together women undergraduates and graduate students from across the country for a weekend of inspirational talks, workshops, networking, and research. The conference includes a science research poster fair, where students present their work to the conference's international audience of STEM students and professionals. Judges provide valuable feedback to female students on their original scholarly research projects.
The Princeton University Mathematics Competition (PUMaC) is an annual competition run by the Princeton University Math Club. Participants from all over the US and various international teams come to the Princeton University campus and spend the day taking various mathematics assessment tests and having fun. PUMaC aims to foster a love for mathematics among high school students.
The Program for Women and Mathematics brings together research mathematicians with women undergraduates, graduate students, and postdoctoral scholars for an intensive workshop held on the campus of the Institute for Advanced Study.