Institute for Advanced Study
School of Mathematics
1 Einstein Drive
Princeton, NJ 08540
USA
photo by: Dan Komoda / IAS
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Linh Truong
Institute for Advanced Study
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photo by: Dan Komoda / IAS |
I am a member at the IAS. Previously, I was a Ritt Assistant Professor in the Department of Mathematics at Columbia University, and an NSF Postdoctoral Fellow at Columbia University and at MIT. In 2016 I completed my Ph.D. from Princeton University, advised by Peter Ozsváth and Zoltán Szabó.
Starting June 2020, my research will be partially supported by NSF grant DMS-200553.
I'm interested in low-dimensional topology. My work focuses on topological applications of Heegaard Floer homology and Khovanov homology.
email: ltruong@math.ias.edu
office: Fuld Hall 422, 1 Einstein Drive, Princeton, NJ 08540
I'm interested in low-dimensional topology. My work focuses on topological applications of Heegaard Floer homology and Khovanov homology.
▪ Braids, fibered knots, and concordance questions
with Diana Hubbard, Keiko Kawamuro, Feride Ceren Kose, Gage Martin,
Olga Plamenevskaya, Katherine Raoux, and Hannah Turner.
[arXiv]. Submitted.
▪ On the Upsilon invariant of fibered knots and right-veering open books
with Dongtai He and Diana Hubbard.
[arXiv]. Submitted.
▪ Annular link invariants from the Sarkar-Seed-Szabó spectral sequence.
with Melissa Zhang.
[arXiv]. Submitted.
▪ A refinement of the Ozsváth-Szabó large integer surgery formula and knot concordance
[arXiv]. To appear in Proceedings of the AMS.
▪ More concordance homomorphisms from knot Floer homology
with Irving Dai, Jennifer Hom, and Matthew Stoffregen.
[arXiv]. To appear in Geometry & Topology.
▪ An infinite rank summand of the homology cobordism group
with Irving Dai, Jennifer Hom, and Matthew Stoffregen.
[arXiv]. Submitted.
▪ A slicing obstruction from the 10/8+4 theorem.
[pdf]. To appear in MATRIX Annals.
▪ Truncated Heegaard Floer homology and knot concordance invariants
Algebraic & Geometric Topology, 19-4 (2019), 1881-1901.
[arXiv] [published]
▪ Extremal Measures and Clockwise Overlays
with Hari Bercovici and Wingsuet Li.
Discrete Mathematics, Vol. 315-316, (2014), 53-64.
[published]
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past courses
Columbia University
Princeton University
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other teaching/mentorship
▪ At the Perspectives on Dehn surgery workshop at ICERM at Brown University in July 2019, I served as the teaching assistant for Yi Ni's course on Heegaard Floer homology and Dehn surgery.
▪ At the PCMI Graduate Summer School in July 2019, I served as a teaching assistant for Jen Hom's course on Heegaard Floer homology.
▪ In spring 2019, I supervised an undergraduate independent reading course on the topics of knot Floer homology, Khovanov homology and applications to knot concordance and contact geometry.
▪ In summer 2018, Akram Alishahi and I mentored a group of six undergraduates in the Columbia Summer Undergraduate Research Program.
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.