About

Gabor Szekelyhidi is associated with Northwestern University's Mathematics Department, which supports research and training activities in the field of dynamics. The research group focuses on the study of dynamical systems, a vibrant area of mathematics that describes the time-evolution of mechanical systems and abstract models, originating with the work of Poincare in celestial mechanics. The group aims to increase research strength in dynamics both at Northwestern and across the US, emphasizing broad training, mentoring, and dissemination of research goals and successes. While specific details about Szekelyhidi's individual research focus or contributions are not provided on the page, he is listed among the principal investigators involved in this initiative.

Research topics

• Geometry
• Mathematical analysis
• Mathematics
• Pure mathematics
• Combinatorics
• Applied mathematics

Selected publications

• Gromov–Hausdorff limits of Kähler manifolds with Ricci curvature bounded below

  Geometric and Functional Analysis · 2022 · 17 citations

  Senior authorCorresponding
  • Mathematics
  • Mathematical analysis
  • Pure mathematics
  DOI

• Weak Harnack inequalities for eigenvalues and constant rank theorems

  Communications in Partial Differential Equations · 2021 · 7 citations

  1st authorCorresponding
  • Mathematics
  • Mathematical analysis
  • Pure mathematics

  We consider convex solutions of nonlinear elliptic equations which satisfy the structure condition of Bian and Guan. We prove a weak Harnack inequality for the eigenvalues of the Hessian of these solutions. This can be viewed as a quantitative version of the constant rank theorem.

  PublisherDOI

• <scp>Gromov‐Hausdorff</scp> Limits of Kähler Manifolds with Ricci Curvature Bounded Below <scp>II</scp>

  Communications on Pure and Applied Mathematics · 2020 · 17 citations

  Senior authorCorresponding
  • Mathematics
  • Pure mathematics
  • Mathematical analysis

  We study noncollapsed Gromov‐Hausdorff limits of Kähler manifolds with Ricci curvature bounded below. Our main result is that each tangent cone is homeomorphic to a normal affine variety. This extends a result of Donaldson‐Sun, who considered noncollapsed limits of polarized Kähler manifolds with two‐sided Ricci curvature bounds. © 2019 Wiley Periodicals LLC

  DOI

Recent grants

• Singularities of Minimal Hypersurfaces and Lagrangian Mean Curvature Flow

  NSF · $112k · 2022–2023

• CAREER: Canonical metrics and stability in complex geometry

  NSF · $443k · 2014–2020

• Kahler geometry and canonical metrics

  NSF · $131k · 2013–2017

• Canonical metrics in complex geometry

  NSF · $111k · 2009–2012

Frequent coauthors

• Tobias Colding

  Maryland Department of Natural Resources

  48 shared

• Jakob Stix

  40 shared

• Jun-Muk Hwang

  40 shared

• David Masser

  University of Basel

  40 shared

• Olivier Schiffmann

  Centre National de la Recherche Scientifique

  40 shared

• Joachim Cuntz

  40 shared

• Daniel Huybrechts

  University of Bonn

  40 shared

• Franz Stückle

  Queen's University

  38 shared

Labs

• RTG Dynamics: Classical, Modern and QuantumPI

Education

• Ph.D., Mathematics

  University of Chicago

  2005

• M.S., Mathematics

  University of Chicago

  2002

• B.S., Mathematics

  University of Chicago

  2001

Awards & honors

• NSF CAREER grant (2014)
• invited speaker at the 2014 International Congress of Mathem…

Similar researchers at Northwestern University

• Mercouri G. Kanatzidish-205
• Chad Mirkinh-189
• Omar Farhah-184
• Tobin J. Marksh-176
• Joseph Hupph-171