I am a postdoctoral assistant professor at University of Michigan. Previously, I was a member at the Institute for Advanced Study, a Ritt Assistant Professor 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.

My research is partially supported by NSF grant DMS-2104309.

I'm interested in low-dimensional topology. My work focuses on topological applications of Heegaard Floer homology and Khovanov homology.

I organize the University of Michigan Topology Seminar.

email: tlinh@umich.edu
office: 3831 East Hall

I'm interested in low-dimensional topology. My work focuses on topological applications of Heegaard Floer homology and Khovanov homology.

▪ Homology concordance homomorphisms
 with Irving Dai, Jennifer Hom, and Matthew Stoffregen.
  [pdf].

▪ A combinatorial description of the LOSS Legendrian knot invariant
 with Dongtai He.
  [pdf].

▪ Comparing Bennequin-type inequalities
  with Elaina Aceves and Keiko Kawamuro.
  New York J. Math. 27 (2021), 124-140.
  [arXiv]. [published].

▪ Braids, fibered knots, and concordance questions
 with Diana Hubbard, Keiko Kawamuro, Feride Ceren Kose, Gage Martin,
 Olga Plamenevskaya, Katherine Raoux, and Hannah Turner.
  [arXiv]. To appear in the Proceedings Volume of the 2019 Research Collaboration
  Conference for Women in Symplectic and Contact Geometry and Topology.

▪ On the Upsilon invariant of fibered knots and right-veering open books
 with Dongtai He and Diana Hubbard.
  [arXiv]. To appear in Math. Res. Lett.

▪ Annular link invariants from the Sarkar-Seed-Szabó spectral sequence.
 with Melissa Zhang.
  [arXiv]. To appear in Michigan Math. J.

▪ A slicing obstruction from the 10/8+4 theorem.
  2019-20 MATRIX Annals, MATRIX Book Ser., Springer, (2021), 167-172.
  [published].

▪ More concordance homomorphisms from knot Floer homology
  with Irving Dai, Jennifer Hom, and Matthew Stoffregen.
  Geom. Topol., 25 (2021) 275-338.
  [arXiv]. [published].

▪ An infinite rank summand of the homology cobordism group
  with Irving Dai, Jennifer Hom, and Matthew Stoffregen.
  [arXiv]. Submitted.

▪ A refinement of the Ozsváth-Szabó large integer surgery formula and knot concordance
  Proc. Amer. Math. Soc., 149 (2021), no. 4, 1757-1771.
  [arXiv]. [published].

▪ Truncated Heegaard Floer homology and knot concordance invariants
  Algebr. Geom. Topol., 19 (2019), no. 4, 1881-1901.
  [arXiv] [published].

▪ Extremal Measures and Clockwise Overlays
  with Hari Bercovici and Wingsuet Li.
  Discrete Math. 315 (2014), 53-64.
  [published]

Current Courses

University of Michigan

  Math 697: Topics in Topology (Winter 2021)

Past Courses

University of Michigan

  Math 115: Calculus I (Fall 2020)

Columbia University

  Math 2000: Intro to Higher Mathematics (Fall 2018)

  Math 1201: Calculus III (Spring 2019)

  Math 1101: Calculus I (Fall 2018, Fall 2017)

Princeton University

  MAT 201: Multi-variable Calculus (Fall 2014)

Other Teaching Experiences

▪ 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.