Song Yu  喻淞

Email:	song-yu at tsinghua.edu.cn

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.

I am co-organizing the Caltech-Tsinghua Joint Colloquium.

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Research

Links to my [arXiv] [ORCiD]

Topological recursion and Crepant Transformation Conjecture

• Topological recursion, Crepant Transformation Conjecture, and holomorphic anomaly equations (in preparation)
  • With Bohan Fang, Chiu-Chu Melissa Liu, Zhengyu Zong
• 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
  • Preprint (2020) to appear in J. Differential Geom. [arXiv]
  • Talk: [Columbia]

Structures in open Gromov-Witten theory

• 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
  • Commun. Math. Phys. (2024) [DOI] [arXiv]

Open/closed correspondence

• Hodge-theoretic open/closed correspondence (in preparation)
• Orbifold open/closed correspondence and mirror symmetry
  • With Chiu-Chu Melissa Liu
  • Preprint (2022) [arXiv]
  • Talks: [SCGP] [WHVSS]
• Open/closed correspondence via relative/local correspondence
  • With Chiu-Chu Melissa Liu
  • Adv. Math. (2022) [DOI] [arXiv]
  • Talks: [IASM] [MAP]

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]

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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

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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

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Last updated: April 23, 2025