Luya Wang

Luya Wang

I am a postdoc member at Princeton University and Institute for Advanced Study. My faculty sponsors are Peter Ozsváth and Helmut Hofer.

During 2023-2024, I was an NSF postdoc at Stanford University sponsored by Ciprian Manolescu. I received my PhD in 2023, advised by Michael Hutchings.

My research interests lie in low-dimensional topology and symplectic geometry. More specifically, I study pseudo-holomorphic curves and their applications in low-dimensional and symplectic topology.

Here is my CV.

Contact

Research papers

Regular Lagrangians in Lefschetz fibrations (with Joseph Breen and Agniva Roy). arXiv:2510.12170.

Properties of contact toric structures and concave boundaries of linear plumbings (with Aleksandra Marinković, Jo Nelson, Ana Rechtman, Laura Starkston and Shira Tanny). arXiv:2501.08451.

A note on a nontrivial connected component of the space of symplectic structures. Algebraic & Geometric Topology, to appear. arXiv:2410.16216.

Spinal open books and symplectic fillings with exotic fibers (with Hyunki Min and Agniva Roy). arXiv:2410.10697.

Spin(7)-instantons on Joyce's first examples of compact Spin(7)-manifolds (with Mateo Galdeano, Daniel Platt and Yuuji Tanaka). Journal of Geometric Analysis, to appear. arXiv:2310.03451.

On Donaldson's four-six question (with Amanda Hirschi). arXiv:2309.07041. Slides. Recording.

Infinitely many monotone Lagrangian tori in higher projective spaces (with Soham Chanda and Amanda Hirschi). Journal of Fixed Point Theory and Applications (2024). arXiv:2307.06934.

A connected sum formula for embedded contact homology. Advances in Mathematics (2025). arXiv:2305.01646. Recording.

Legendrian embedded contact homology (with Julian Chaidez, Oliver Edtmair, Yuan Yao and Ziwen Zhao). arXiv:2302.07259.

Fixed-point-free pseudo-Anosov homeomorphisms, knot Floer homology and the cinquefoil (with Ethan Farber and Braeden Reinoso). Geometry and Topology (2024). arXiv:2203.01402. Slides.

A combinatorial proof of invariance of double-point enhanced grid homology (with Timothy Ratigan and Joshua Wang). Journal of Knot Theory and Its Ramifications, to appear. arXiv:1810.03202.

Hyperbolicity of links in thickened surfaces (with Colin Adams, Carlos Albors-Riera, Beatrix Haddock, Zhiqi Li, Daishiro Nishida and Braeden Reinoso). Topology and its Applications (2019). arXiv:1802.05770.

Seminars and Workshops

Joint PU/IAS Symplectic Geometry Seminar.

AMS-AWM Special Session for Women and Gender Minorities in Symplectic and Contact Geometry and Topology.

Stanford Topology Seminar.

KYLEREC workshop. This is an annual student-run symplectic geometry workshop.

The Geometric Topology Grad and Postdoc Seminar (GT GAPS). This is a weekly student-run Zoom seminar.

Teaching

Fall 2025: Instructor for MAT 201 (Multivariable Calculus), Princeton University.

Spring 2019: Graduate Student Instructor for Math 54 (Linear Algebra & Differential Equations), UC Berkeley.

Fall 2018: Graduate Student Instructor for Math 54 (Linear Algebra & Differential Equations), UC Berkeley.