World's Best Scientists 2026 revealed!

D-Index & Metrics

Computer Science

D-Index
43
Citations
25545
World Ranking
7735
National Ranking
3339

Research.com Recognitions

  • 2021 - Frank Nelson Cole Prize in Algebra
  • 2020 - Fellow of the American Mathematical Society For contributions to algebraic geometry, in particular the minimal model program and the K-stability of Fano varieties.

Overview

Chenyang Xu is a researcher affiliated with Princeton University in the United States, whose work primarily centers on mathematics, with special emphasis on geometry and topology. Their contributions cover a range of subfields including mathematical physics, applied mathematics, computational theory and mathematics, as well as algebra and number theory.

Their research topics include:

  • Geometry and complex manifolds
  • Algebraic Geometry and Number Theory
  • Advanced Algebra and Geometry
  • Geometric Analysis and Curvature Flows
  • Advanced Differential Equations and Dynamical Systems
  • Polynomial and algebraic computation
  • Functional Equations Stability Results

Chenyang Xu has published extensively in several academic venues with frequent appearances in:

  • arXiv (Cornell University)
  • Oberwolfach Reports
  • Annals of Mathematics
  • Journal of the American Mathematical Society
  • Duke Mathematical Journal

Notable recent papers include:

  • "Finite generation for valuations computing stability thresholds and applications to K-stability" (2022), Annals of Mathematics
  • "A minimizing valuation is quasi-monomial" (2020), Annals of Mathematics
  • "Openness of K-semistability for Fano varieties" (2022), Duke Mathematical Journal
  • "K-stability of Fano varieties: an algebro-geometric approach" (2021), EMS Surveys in Mathematical Sciences
  • "Algebraicity of the metric tangent cones and equivariant K-stability" (2021), Journal of the American Mathematical Society

In addition, Chenyang Xu is preparing a book on "K-stability of Fano Varieties," to be published by Cambridge University Press in 2025.

Their frequent coauthors include:

  • Yuchen Liu
  • Ziquan Zhuang
  • Harold Blum
  • Chi Li
  • Daniel Huybrechts

Chenyang Xu has received several awards such as the Frank Nelson Cole Prize in Algebra in 2021. In 2020, they were named a Fellow of the American Mathematical Society, recognized for contributions to algebraic geometry, especially regarding the minimal model program and the K-stability of Fano varieties.

Best Publications

  • Snakes, shapes, and gradient vector flow

    Chenyang Xu;J.L. Prince

  • Current methods in medical image segmentation.

    Dzung L. Pham;Chenyang Xu;Jerry L. Prince

  • Level set evolution without re-initialization: a new variational formulation

    Chunming Li;Chenyang Xu;Changfeng Gui;M.D. Fox

  • Distance Regularized Level Set Evolution and Its Application to Image Segmentation

    Chunming Li;Chenyang Xu;Changfeng Gui;Martin D Fox

  • Gradient vector flow: a new external force for snakes

    Chenyang Xu;J.L. Prince

  • Generalized gradient vector flow external forces for active contours

    Chenyang Xu;Jerry L. Prince

  • A topology preserving level set method for geometric deformable models

    Xiao Han;Chenyang Xu;J.L. Prince

  • A Survey of Current Methods in Medical Image Segmentation

    Dzung L. Pham;Chenyang Xu;Jerry L. Prince

  • Image Segmentation Using Deformable Models

    Dzung L. Pham;Chenyang Xu;Jerry L. Prince

  • LEVEL SET EVOLUTION WITHOUT REINITIALIZATION: A NEW VARIATIONAL FORMULATION

    C M Li;C Y Xu;C F Gui

  • On the relationship between parametric and geometric active contours

    Chenyang Xu;A. Yezzi;J.L. Prince

  • A multilevel banded graph cuts method for fast image segmentation

    H. Lombaert;Yiyong Sun;L. Grady;Chenyang Xu

  • Reconstruction of the human cerebral cortex from magnetic resonance images

    C. Xu;D.L. Pham;M.E. Rettmann;D.N. Yu

  • CRUISE: cortical reconstruction using implicit surface evolution.

    Xiao Han;Dzung L. Pham;Duygu Tosun;Maryam E. Rettmann

  • Automated sulcal segmentation using watersheds on the cortical surface.

    Maryam E. Rettmann;Xiao Han;Chenyang Xu;Jerry L. Prince

  • Topology correction in brain cortex segmentation using a multiscale, graph-based algorithm

    Xiao Han;Chenyang Xu;U. Braga-Neto;J.L. Prince

  • MRI Tissue Classification and Bias Field Estimation Based on Coherent Local Intensity Clustering: A Unified Energy Minimization Framework

    Chunming Li;Chenyang Xu;Adam W. Anderson;John C. Gore

  • A Computational Framework for the Statistical Analysis of Cardiac Diffusion Tensors: Application to a Small Database of Canine Hearts

    J.-M. Peyrat;M. Sermesant;X. Pennec;H. Delingette

  • Gradient vector flow deformable models

    Chenyang Xu;Jerry L. Prince

  • Registration of 4D Cardiac CT Sequences Under Trajectory Constraints With Multichannel Diffeomorphic Demons

    Jean-Marc Peyrat;Hervé Delingette;Maxime Sermesant;Chenyang Xu

  • Sulcal segmentation using watersheds on the cortical surface

    Maryam E. Rettmann;Xiao Han;Chenyang Xu;Jerry L. Prince

Frequent Co-Authors

Jerry L. Prince
Jerry L. Prince Johns Hopkins University
Dzung L. Pham
Dzung L. Pham Henry M. Jackson Foundation
Norbert Rahn
Norbert Rahn Siemens (Germany)
Duygu Tosun
Duygu Tosun University of California, San Francisco
Joachim Hornegger
Joachim Hornegger University of Erlangen-Nuremberg
Maxime Sermesant
Maxime Sermesant Université Côte d'Azur
Hervé Delingette
Hervé Delingette French Institute for Research in Computer Science and Automation - INRIA
Xavier Pennec
Xavier Pennec French Institute for Research in Computer Science and Automation - INRIA
Nicholas Ayache
Nicholas Ayache French Institute for Research in Computer Science and Automation - INRIA
Christos Davatzikos
Christos Davatzikos University of Pennsylvania

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