Luya Wang

I am a postdoc member at Institute for Advanced Study. My faculty sponsor is 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

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. 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). 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, to appear. 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). 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

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 2018: GSI for Math 54 with John Lott.

Spring 2018: GSI for Math 54 with Vivek Shende.