Song Yu's Homepage

Email: songyu at caltech dot edu

I am a joint postdoctoral fellow at California Institute of Technology and Tsinghua Yau Mathematical Sciences Center, supervised by Nicolai Reshetikhin and Tony Yue Yu. For 2023-24, 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.

In Spring 2024, I am:

Links to my [ORCiD] [arXiv]

Open WDVV equations and Frobenius structures for toric Calabi-Yau 3-folds, with Zhengyu Zong, 2023. [arXiv]
Open/closed BPS correspondence and integrality, 2023. [arXiv]

Hodge-theoretic open/closed correspondence and extended Picard-Fuchs system, in preparation.
Orbifold open/closed correspondence and mirror symmetry, with Chiu-Chu Melissa Liu, 2022. [arXiv]
- Talks: [SCGP] [WHVSS] Slides: [WHVSS]
Open/closed correspondence via relative/local correspondence, with Chiu-Chu Melissa Liu, Adv. Math., 2022. [DOI] [arXiv]
- Talks: [Zhejiang University] [MAP Meeting]

Topological recursion, Crepant Transformation Conjecture, and holomorphic anomaly equations, with Bohan Fang, Chiu-Chu Melissa Liu, Zhengyu Zong, in preparation.
The Open Crepant Transformation Conjecture for toric Calabi-Yau 3-orbifolds, 2020, to appear in J. Differential Geom. [arXiv]
- Talk: [Columbia University]

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]

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

Song Yu 喻淞