Luya Wang

I am an NSF postdoc at Stanford University. My faculty sponsor is 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

Spin(7)-instantons on Joyce's first examples of compact Spin(7)-manifolds (with Mateo Galdeano, Daniel Platt and Yuuji Tanaka). 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). arXiv:2307.06934.

A connected sum formula for embedded contact homology. 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). To appear in Geometry and Topology. arXiv:2203.01402. Slides.

A combinatorial proof of invariance of double-point enhanced grid homology (with Timothy Ratigan and Joshua Wang). 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

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 2018: GSI for Math 54 with John Lott.

Spring 2018: GSI for Math 54 with Vivek Shende.