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Mathematics

D-Index
37
Citations
5950
World Ranking
2494
National Ranking
1039

Overview

Feng Luo is affiliated with Rutgers, The State University of New Jersey in the United States. Their research spans across multiple disciplines including Computer Science and Physics and Astronomy, with significant contributions to subfields such as Statistical and Nonlinear Physics, Computer Graphics and Computer-Aided Design, Computational Mechanics, Atomic and Molecular Physics, and Optics, as well as Applied Mathematics.

The main topics covered in Luo's work include Computational Geometry and Mesh Generation, Advanced Numerical Analysis Techniques, Opinion Dynamics and Social Influence, Complex Network Analysis Techniques, Quantum Many-Body Systems, Polynomial and Algebraic Computation, and Child and Animal Learning Development.

Recent publications authored or co-authored by Luo include:

  • Extreme solution for fractional differential equation with nonlinear boundary condition, 2024, Carpathian Journal of Mathematics
  • Higher-degrees Hybrid Non-uniform Subdivision Surfaces, 2024, Computer-Aided Design
  • Quadrilateral mesh generation II: Meromorphic quartic differentials and Abel-Jacobi condition, 2020, Computer Methods in Applied Mechanics and Engineering
  • Stimulus-dependent emergence of understanding the 'same-different' concept in budgerigars, 2024, Proceedings of the Royal Society B Biological Sciences
  • Co-evolution of Opinion and Social Tie Dynamics Towards Structural Balance, 2021, arXiv (Cornell University)

Luo frequently collaborates with other researchers, including Haotian Wang, Na Lei, Xiaopeng Zheng, Zhongxuan Luo, and Xianfeng Gu. This network of co-authors reflects interdisciplinary engagement within Luo's fields of study.

Their research has appeared in various publication venues that include:

  • Computer Methods in Applied Mechanics and Engineering
  • Proceedings of the Royal Society B Biological Sciences
  • arXiv (Cornell University)
  • Carpathian Journal of Mathematics
  • Computer-Aided Design

The integration of topics such as computational geometry, mesh generation, and opinion dynamics indicates a focus on both theoretical and applied aspects of mathematical and computational sciences. The work on nonlinear boundary conditions and subdivision surfaces reveals an engagement with advanced numerical methods and computational design techniques.

Best Publications

  • Amyloid fibril structure of α-synuclein determined by cryo-electron microscopy.

    Yaowang Li;Chunyu Zhao;Feng Luo;Zhenying Liu

  • COMBINATORIAL RICCI FLOWS ON SURFACES

    Bennett Chow;Feng Luo

  • The Ricci Flow: Techniques and Applications

    Bennett Chow;Bennett Chow;Sun-Chin Chu;David Glickenstein;Christine Guenther

  • Discrete Surface Ricci Flow

    M. Jin;J. Kim;F. Luo;X. Gu

  • COMBINATORIAL YAMABE FLOW ON SURFACES

    Feng Luo

  • The Ricci Flow: Techniques and Applications: Part II: Analytic Aspects

    Bennett Chow;Bennett Chow;Sun-Chin Chu;David Glickenstein;Christine Guenther

  • Automorphisms of the complex of curves

    Feng Luo

  • Liouville equation and spherical convex polytopes

    Feng Luo;Gang Tian

  • The Ricci Flow: Techniques and Applications: Part III: Geometric-Analytic Aspects

    Bennett Chow;Sun-Chin Chu;David Glickenstein;Christine Guenther

  • Greedy routing with guaranteed delivery using Ricci flows

    Rik Sarkar;Xiaotian Yin;Jie Gao;Feng Luo

  • Rigidity of Polyhedral Surfaces

    Feng Luo

  • A discrete uniformization theorem for polyhedral surfaces

    Xianfeng David Gu;Feng Luo;Jian Sun;Tianqi Wu

  • Community Detection on Networks with Ricci Flow.

    Chien-Chun Ni;Yu-Yao Lin;Feng Luo;Jie Gao

  • Variational principles for Minkowski type problems, discrete optimal transport, and discrete Monge–Ampère equations

    Xianfeng Gu;Feng Luo;Jian Sun;Shing-Tung Yau

  • Optimal Mass Transport for Shape Matching and Comparison

    Zhengyu Su;Yalin Wang;Rui Shi;Wei Zeng

  • Area-Preservation Mapping using Optimal Mass Transport

    Xin Zhao;Zhengyu Su;Xianfeng David Gu;Arie Kaufman

  • Z(2)-Systolic Freedom and Quantum Codes

    Michael H. Freedman;David A. Meyer;Feng Luo

  • Rigidity of polyhedral surfaces, II

    Ren Guo;Feng Luo

  • Rigidity of Polyhedral Surfaces, III

    Unknown

  • Resilient Routing for Sensor Networks Using Hyperbolic Embedding of Universal Covering Space

    Wei Zeng;Rik Sarkar;Feng Luo;Xianfeng Gu

  • The unified discrete surface Ricci flow

    Min Zhang;Ren Guo;Wei Zeng;Feng Luo

  • A discrete uniformization theorem for polyhedral surfaces

    Feng Luo

  • Implicit function theorem

    Bennett Chow;Sun-Chin Chu;David Glickenstein;Christine Guenther

Frequent Co-Authors

James Isenberg
James Isenberg University of Oregon
Xianfeng Gu
Xianfeng Gu Stony Brook University
Shing-Tung Yau
Shing-Tung Yau Tsinghua University
Jie Gao
Jie Gao Rutgers, The State University of New Jersey
Jian Sun
Jian Sun Megvii
Ying He
Ying He Nanyang Technological University
Michael H. Freedman
Michael H. Freedman University of California, Santa Barbara
Shuyi Zhang
Shuyi Zhang Shenyang Agricultural University
Hongbin Sun
Hongbin Sun Tsinghua University
Lin He
Lin He Shanghai Jiao Tong University

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