| Email: | songyu at caltech dot edu |
|---|
I am a joint postdoctoral fellow at California Institute of Technology and Tsinghua University Yau Mathematical Sciences Center, supervised by Nicolai Reshetikhin and Tony Yue Yu. For 2026-27, I am in residence at Caltech. I am broadly interested in algebraic geometry, enumerative geometry, and mirror symmetry.
I am a recent PhD graduate from Columbia University, advised by Chiu-Chu Melissa Liu. Before, I was an undergraduate student at Pomona College, advised by Erica Flapan and Shahriar Shahriari. I am also an alumnus of Budapest Semesters in Mathematics and Math in Moscow.
Here is my curriculum vitae.
In Fall 2026, I am:
- Teaching Ma 130a - Algebraic geometry
- Co-organizing the Caltech Algebra and Geometry Seminar
- Co-organizing the Caltech-Tsinghua Joint Colloquium
Research
Topological recursion and Crepant Transformation Conjecture
- Topological recursion, Crepant Transformation Conjecture, and holomorphic anomaly equations (in preparation)
-
All-genus open mirror symmetry for toric Calabi-Yau 3-orbifolds with multiple branes
- With Bohan Fang, Chiu-Chu Melissa Liu, Zhengyu Zong
- Preprint (2026) [arXiv]
-
Remodeling Conjecture with descendants
- With Bohan Fang, Chiu-Chu Melissa Liu, Zhengyu Zong
- Preprint (2025) [arXiv]
- Talk: [IASM]
- The Open Crepant Transformation Conjecture for toric Calabi-Yau 3-orbifolds
Open/closed correspondence
-
Multi-component open/relative/local correspondence
- With Ke Zhang, Zhengyu Zong
- Preprint (2025) [arXiv]
-
Hodge-theoretic open/closed correspondence
- Preprint (2025) [arXiv]
- Orbifold open/closed correspondence and mirror symmetry
- With Chiu-Chu Melissa Liu
- Preprint (2022), to appear in Geom. Topol. [arXiv]
- Talks: [SCGP] [WHVSS]
-
Open/closed correspondence via relative/local correspondence
- With Chiu-Chu Melissa Liu
- Adv. Math. (2022) [DOI] [arXiv]
- Talks: [IASM] [MAP]
Quantum cohomology and birational geometry
- Quantum cohomology of variations of GIT quotients and flips
- With Zhaoxing Gu, Tony Yue Yu
- Preprint (2025) [arXiv]
Structures in open Gromov-Witten theory
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Open WDVV equations and Frobenius structures for toric Calabi-Yau 3-folds
- With Zhengyu Zong
- Forum Math. Sigma (2025) [DOI] [arXiv]
- Open/closed BPS correspondence and integrality
Other projects
-
Symmetries of spatial graphs in 3-manifolds
- With Erica Flapan
- Fundam. Math. (2021) [DOI] [arXiv]
-
Avoiding brooms, forks, and butterflies in the linear lattices
- With Shahriar Shahriari
- Order (2020) [DOI] [arXiv]
Teaching
Caltech
- Winter 2027 - Ma 130b - Algebraic geometry
- Fall 2026 - Ma 130a - Algebraic geometry
- Spring 2024 - Ma 130c - Algebraic geometry
- Fall 2023 - Ma 130a - Algebraic geometry
Columbia
- Summer 2021 - MATH UN2010 - Linear algebra
- Summer 2020 - MATH UN1102 - Calculus II
- Fall 2019 - MATH UN3951 - undergraduate seminar on Topics in graph theory
- Spring 2019 - MATH UN3952 - undergraduate seminar on Elementary applied topology
Seminars Co-organized
Caltech
- 2026-27 - Caltech Algebra and Geometry Seminar
- 2023-27 - Caltech-Tsinghua Joint Colloquium
- Spring 2024 - Southern California Algebraic Geometry Seminar
- Winter 2024 - learning seminar on Quasimap theory and applications
- 2023-24 - Caltech/USC Algebra & Geometry Seminar
Columbia
- Fall 2018 - learning seminar on Intersection theory
Last updated: September 20, 2026