| Email: | song-yu at tsinghua.edu.cn |
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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 2024-26, I am in residence at Tsinghua. 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 2024, I am co-organizing the Caltech-Tsinghua Joint Colloquium.
Research
Topological recursion and Crepant Transformation Conjecture
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Topological recursion, Crepant Transformation Conjecture, and holomorphic anomaly equations, in preparation.
- With Bohan Fang, Chiu-Chu Melissa Liu, Zhengyu Zong
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Remodeling Conjecture with descendants, in preparation.
- With Bohan Fang, Chiu-Chu Melissa Liu, Zhengyu Zong
- Talk: [IASM]
- The Open Crepant Transformation Conjecture for toric Calabi-Yau 3-orbifolds, 2020, to appear in J. Differential Geom.
Structures in open Gromov-Witten theory
- Open/closed BPS correspondence and integrality, Commun. Math. Phys., 2024.
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Open WDVV equations and Frobenius structures for toric Calabi-Yau 3-folds, 2023.
- With Zhengyu Zong
- [arXiv]
Open/closed correspondence
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Hodge-theoretic open/closed correspondence and extended Picard-Fuchs system, in preparation.
- Orbifold open/closed correspondence and mirror symmetry, 2022.
- With Chiu-Chu Melissa Liu
- [arXiv]
- Talks: [SCGP] [WHVSS]
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Open/closed correspondence via relative/local correspondence, Adv. Math., 2022.
- With Chiu-Chu Melissa Liu
- [DOI] [arXiv]
- Talks: [IASM] [MAP]
Other projects
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Symmetries of spatial graphs in 3-manifolds, Fundam. Math., 2021.
- With Erica Flapan
- [DOI] [arXiv]
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Avoiding brooms, forks, and butterflies in the linear lattices, Order, 2020.
- With Shahriar Shahriari
- [DOI] [arXiv]
Teaching
Caltech
- 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
Tsinghua
- 2023-25 - Caltech-Tsinghua Joint Colloquium
Caltech
- 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