Song Yu  喻淞

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

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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

• 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 · IASM talk

• The Open Crepant Transformation Conjecture for toric Calabi-Yau 3-orbifolds

  J. Differential Geom. (2025) · DOI · arXiv · Columbia talk

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 · SCGP talk · WHVSS talk

• Open/closed correspondence via relative/local correspondence

  With Chiu-Chu Melissa Liu

  Adv. Math. (2022) · DOI · arXiv · IASM talk · MAP talk

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

• 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

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

• 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

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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

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Last updated: September 20, 2026