Selected Publication
Homogeneous Z/2-harmonic forms and spinors on R4 from regular 4-polytopes
Clifford Taubes and Yingying Wu
Surveys in Differential Geometry (2026)
We construct homogeneous ℤ/2-harmonic forms and spinors on ℝ⁴, with singular sets given by cones over the edge graphs of regular four-dimensional polytopes. The construction combines elliptic analysis near graph singularities with polytope symmetries and the topology of the twisting line bundle.
Topological aspects of ℤ/2ℤ eigenfunctions for the Laplacian on S²
Clifford Henry Taubes and Yingying Wu.
Journal of Differential Geometry (2024)
We study how twisted Laplace eigenvalues and eigensections vary as branch points move on the sphere. Our compactification incorporates branch-point collisions while preserving continuity of the eigenvalues, and the topology of the associated spectral problem provides a framework for variational constructions beyond symmetric examples.
Examples of singularity models for ℤ/2 harmonic 1-forms and spinors in dimension 3
Clifford Taubes and Yingying Wu.
Proceedings of the Gökova Geometry–Topology Conferences (2020)
We construct the first ℤ/2-harmonic singularity models in three dimensions beyond the straight-line examples. The local models are ℤ/2-harmonic 1-forms or spinors on ℝ³ that are homogeneous under rescaling, with zero loci consisting of four or more rays from the origin. The rays point from the origin to the vertices of a centered tetrahedron in one example, and to those of a centered octahedron and a centered icosahedron in two others.
Moduli spaces of SUSY curves and their operads
Enno Keßler, Yuri I. Manin, and Yingying Wu.
Algebraic Geometry and Physics (2025)
We extend the operadic description of moduli spaces of curves to SUSY curves with Neveu–Schwarz and Ramond punctures. We construct the corresponding SUSY operad using stable SUSY graphs, which encode the combinatorics of gluing and degeneration.
A Proof of the Eigenvalue Ratio Bound for Embedded Surfaces
Ricardo Gloria-Picazzo, Yingying Wu, and Shing-Tung Yau.
arXiv:2603.21035 (2026).
We give a complete proof of Yau’s eigenvalue-ratio conjecture, relating the spectrum of a closed embedded surface in ℝ³ to the Dirichlet spectrum of the domain it encloses. We obtain a positive lower bound depending only on the genus and determine the optimal constant for the first eigenvalue in genus zero.
Full List of Publications
Homogeneous ℤ/2-harmonic forms and spinors on ℝ⁴ from regular 4-polytopes
Clifford Taubes and Yingying Wu.
Surveys in Differential Geometry (2026).
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Topological aspects of ℤ/2ℤ eigenfunctions for the Laplacian on S²
Clifford Henry Taubes and Yingying Wu.
Journal of Differential Geometry (2024).
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Moduli spaces of SUSY curves and their operads
Enno Keßler, Yuri I. Manin, and Yingying Wu.
Algebraic Geometry and Physics 2(2), 163–196 (2025).
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Examples of singularity models for ℤ/2 harmonic 1-forms and spinors in dimension 3
Clifford Taubes and Yingying Wu.
Proceedings of the Gökova Geometry–Topology Conference 2018–2019, 37–66 (2020).
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Comparison Theorems of Phylogenetic Spaces and Algebraic Fans
Yingying Wu.
Doctoral dissertation, The University of Texas at Austin (2019).
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The Properties of a Class of Power Exponent Function
Junliang Cai, Yingying Wu, Yi Cai, and Yu Lan.
Studies in College Mathematics 15(4) (2012).
A Proof of the Eigenvalue Ratio Bound for Embedded Surfaces
Ricardo Gloria-Picazzo, Yingying Wu, and Shing-Tung Yau.
arXiv:2603.21035 (2026).
arXiv · PDF
Surface Eigenvalues with Lattice-Based Approximation – In comparison with analytical solution
Yingying Wu, Tianqi Wu, and Shing-Tung Yau.
arXiv:2203.03603 (2022). Under review.
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Comparison Theorems of Phylogenetic Spaces and the Moduli Spaces of Curves
Yingying Wu and Shing-Tung Yau.
arXiv:2006.04319 (2020).
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Graph Convolutional Networks for Learning Laplace-Beltrami Operators
Yingying Wu⋆, Roger Fu, Yang Peng, and Qifeng Chen.
Geometry-grounded Representation Learning and Generative Modeling Workshop (GRaM), Proceedings of Machine Learning Research 251, 318–331 (2024).
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Novel biomarkers and drug correlations of non-canonical WNT signaling in prostate and breast cancer
Yongming Huang, Meiyin Fan, Yushuai Liu, Xiaoying Jiang, Kevin Du, Alice Wu, Qingyi Li, Yingying Wu, Jiaqian Liang, and Keshan Wang.
Discover Oncology 15(1), 511 (2024).
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Immune Epitopes of SARS-CoV-2 Spike and Considerations for Universal Vaccine Development
Nicholas Magazine, Tianyi Zhang, Anang D. Bungwon, Michael C. McGee, Yingying Wu, Gianluca Veggiani, and Weishan Huang.
ImmunoHorizons 8(3), 214–226 (2024).
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Explaining Competitive-Level Programming Solutions using LLMs
Jierui Li, Szymon Tworkowski, Yingying Wu, and Raymond Mooney.
Presented at the Natural Language Reasoning and Structured Explanations Workshop, 61st Annual Meeting of the Association for Computational Linguistics (ACL 2023).
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AlphaSnake: Policy Iteration on a Nondeterministic NP-hard Markov Decision Process
Kevin Du, Ian Gemp, Yi Wu, and Yingying Wu⋆.
AAAI Conference on Artificial Intelligence, Student Abstract, 37(13) (2023).
Publisher · PDF · arXiv
PhyloTransformer: A Discriminative Model for Mutation Prediction Based on a Multi-head Self-attention Mechanism
Yingying Wu⋆, Shusheng Xu, Shing-Tung Yau⋆, and Yi Wu⋆.
Machine Learning & Global Health Workshop, International Conference on Learning Representations (ICLR 2023).
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Mutations of the SARS-CoV-2 Spike Protein
Nicholas Magazine, Tianyi Zhang, Yingying Wu, Michael McGee, and Weishan Huang.
Viruses 14(3), 640 (2022).
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Enzalutamide-induced and PTH1R-mediated TGFBR2 degradation in osteoblasts confers resistance in prostate cancer bone metastases
Shang Su, Jingchen Cao, Xiangqi Meng, Ruihua Liu, Alexandra Vander Ark, Erica Woodford, Reian Zhang, Isabelle Stiver, Xiaotun Zhang, Zachary B. Madaj, Megan J. Bowman, Yingying Wu, H. Eric Xu, Bin Chen, Haiquan Yu, and Xiaohong Li.
Cancer Letters 525, 170–178 (2022).
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Investigating the Role of Eye Movements and Physiological Signals in Search Satisfaction Prediction Using Geometric Analysis
Yingying Wu, Yiqun Liu, Yen-Hsi Richard Tsai, and Shing-Tung Yau.
Journal of the Association for Information Science and Technology 70(9), 981–999 (2019).
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Beyond Greedy Search: Pruned Exhaustive Search for Diversified Result Ranking
Yingying Wu, Yiqun Liu, Fei Chen, Min Zhang, and Shaoping Ma.
11th ACM SIGIR International Conference on Theory of Information Retrieval (ICTIR 2018). Best Paper Nomination.
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A Novel Approach for Retrieving Chlorophyll-a Concentrations from Satellite Ocean Color Data
Yingying Wu and Joaquim Goes.
25th ACM SIGKDD International Conference on Knowledge Discovery & Data Mining, Project Showcase (KDD 2019).
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Seeing the Unseen: Mining an Ocean of Data for Retrieving the Vertical Distribution of Chlorophyll-a from Satellite Ocean Color Data
Jinghui Wu, Joaquim Goes, and Yingying Wu.
25th ACM SIGKDD International Conference on Knowledge Discovery & Data Mining, Project Showcase (KDD 2019).
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Treating Each Intent Equally? The Equilibrium of IA-Select
Yingying Wu, Yiqun Liu, Ke Zhou, Xiaochuan Wang, Min Zhang, and Shaoping Ma.
27th International Conference on World Wide Web, Poster Paper (WWW 2018).
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Predicting Online Shopping Search Satisfaction and User Behaviors with Electrodermal Activity
Yingying Wu, Yiqun Liu, Ning Su, Shaoping Ma, and Wenwu Ou.
26th International Conference on World Wide Web, Poster Paper (WWW 2017).
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Investigating Examination Behavior of Image Search Users
Xiaohui Xie, Yiqun Liu, Xiaochuan Wang, Meng Wang, Zhijing Wu, Yingying Wu, Min Zhang, and Shaoping Ma.
40th International ACM SIGIR Conference on Research and Development in Information Retrieval (SIGIR 2017).
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The Application of Conformal Mapping to Stomatology
Yingying Wu.
Master’s thesis, Harvard University (2012).
Publisher
Auto-scaled Bayesian Browsing Model in Massive Data
Liyun Ru, Anhui Wang, Yingying Wu, and Shaoping Ma.
IEEE International Conference on Cloud Computing and Intelligent Systems (CCIS 2012). Best Paper Award.
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Research on Indexing Page Collection Selection Method for Search Engine
Liyun Ru, Zhichao Li, Yingying Wu, and Shaoping Ma.
Semantic Web and Web Science, proceedings of the Sixth Chinese Semantic Web Symposium (CSWS 2012) and the First Chinese Web Science Conference (CWSC 2012), 345–355 (2013).
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Search Query Correction based on User Intent Analysis
Liyun Ru, Zhichao Li, Yingying Wu, and Shaoping Ma.
Journal of Computational Information Systems 9(6), 2157–2166 (2013).