Tianqi Wu
mike890505@gmail.com
Research Interests
My research is mainly in the area of discrete geometry, and its applications in geometry processing. My current work focuses on discrete conformal geometry and discrete harmonic maps (Tutte’s embeddings). I also have works related to convex geometry and conformal geometry.
Biography
Visiting Assistant Professor, Clark University, 2021 - 2022
Postdoc in Math, CMSA at Harvard, 2019 - 2021
Ph.D. in Math, NYU, 2019
M.S. in Math, Tsinghua University, 2014
B.S. in Math, Peking University, 2012
Papers
Prescribed curvature problem for discrete conformality on convex spherical cone-metrics, with Ivan Izmestiev and Roman Prosanov, Advances in Mathematics, to appear. [arXiv]
The Deformation Spaces of Geodesic Triangulations of Flat Tori, with Yanwen Luo and Xiaoping Zhu, Algebraic and Geometric Topology, to appear. [arXiv]
The Convergence of Discrete Uniformizations for Closed Surfaces, with Xiaoping Zhu, Journal of Differential Geometry, to appear. [arXiv]
The Deformation Space of Geodesic Triangulations and Generalized Tutte's Embedding Theorem, with Yanwen Luo and Xiaoping Zhu, Geometry & Topology, 27.8 (2023): 3361-3385. [arXiv]
The Deformation Space of Delaunay Triangulations of the Sphere, with Yanwen Luo and Xiaoping Zhu, Pacific Journal of Mathematics 323.1 (2023): 115-127. [arXiv]
The Convergence of Discrete Uniformizations for Genus Zero Surfaces, with Yanwen Luo and Xiaoping Zhu, Discrete & Computational Geometry (2023): 1-24. [arXiv]
Computing Harmonic Maps and Conformal Maps on Point Clouds, with Shing-Tung Yau, Journal of Computational Mathematics 41.5 (2023). [arXiv]
Discrete conformal geometry of polyhedral surfaces and its convergence, with Jian Sun and Feng Luo, Geometry & Topology, 26.3 (2022): 937-987. [arXiv]
What is Learned in Knowledge Graph Embeddings?, with Michael R. Douglas and Michael Simkin and Omri Ben-Eliezer and Peter Chin and Trung V. Dang and Andrew Wood, the International Conference on Complex Networks and Their Applications, 2021. [arXiv]
Convergence of discrete conformal geometry and computation of uniformization maps, with Xianfeng Gu, Feng Luo, Asian Journal of Mathematics 23.1 (2019): 21-34. [PDF]
A discrete uniformization theorem for polyhedral surfaces II, with Xianfeng Gu, Ren Guo, Feng Luo and Jian Sun, Journal of Differential Geometry 109, no. 3 (2018): 431-466. [arXiv]
A discrete uniformization theorem for polyhedral surfaces, with Xianfeng Gu, Feng Luo and Jian Sun, Journal of Differential Geometry 109, no. 2 (2018): 223-256. [arXiv]
Discrete conformal deformation: Algorithm and experiments, with Jian Sun, Xianfeng Gu, Feng Luo, SIAM Journal on Imaging Sciences 8, no. 3 (2015): 1421-1456. [arXiv]
Rigidity of infinite hexagonal triangulation of the plane, with Xianfeng Gu and Jian Sun, Transactions of the American Mathematical Society 367, no. 9 (2015): 6539-6555. [arXiv]
Preprints
Rigidity of the Delaunay Triangulations of the Plane, with Song Dai, arXiv:2305.02609.
Koebe conjecture and the Weyl problem for convex surfaces in hyperbolic 3-space, with Feng Luo, arXiv:1910.08001.
Fractional combinatorial Calabi flow on surfaces, with Xu Xu, arXiv:2107.14102.
Surface Eigenvalues with Lattice-Based Approximation In comparison with analytical solution, with Yingying Wu and Shing-Tung Yau. arXiv:2203.03603.
Teaching
Instructor for Differential Equations, Clark University, Spring 2022
Instructor for Honors Calculus II, Clark University, Spring 2022
Instructor for Calculus I, Clark University, Fall 2021 and Spring 2022
Instructor for Methods of Analysis, Harvard University, Fall 2019
Instructor for the Weyl Problem and Intrinsic Geometry of Convex Surfaces, Capital Normal University, Summer 2019
TA for Mathematical analysis, New York University, Fall 2018
TA for Math Honors IV, New York University, Spring 2018
TA for ODE, New York University, Fall 2017
Referee
Transactions of the AMS
Proceedings of the AMS
International Mathematics Research Notices
Discrete and Computational Geometry
Calc. Var. Partial Differential Equations
American Journal of Mathematics
Asian Journal of Mathematics
Pacific Journal of Mathematics
Communications in Analysis and Geometry
Mathematical Research Letters
Award
Silver Medalist, International Mathematical Olympiad 2008, Madrid
Talks
Workshop on Discrete and Computational Geometry, Shape Analysis, and Applications, Rutgers University, 5/2023
Math Seminar, Wuhan University, 4/2023
Workshop on Discrete Shapes, Harvard University, 5/2022
Geometry and Topology Seminar, McMaster University, 3/2022
Geometry and Geometric Analysis seminar, Clark University, 11/2021
CMSA Interdisciplinary Science Seminar, Harvard University, 6/2021
CMSA member seminar, Harvard University, 10/2020
Topology Seminar, Texas A&M University, 9/2020
CMSA member seminar, Harvard University, 4/2020
Special seminar, Tianjin University, 8/2019
Workshop on "Discrete and Computational Geometry and its Applications", Capital Normal University, 7/2019
CMSA member seminar, Harvard University, 3/2019
AMS Sectional Meeting, Special Session on Discretization in Geometry and Dynamics, Northeastern University, 4/2018