Bryan Dimler

Rev. Howard J. Kenna, C.S.C. Research Fellow

Education

Ph.D. in Mathematics, University of California, Irvine - 2026

M.S. in Mathematics, University of Texas at San Antonio - 2020

 B.S. in Mathematics, University of Texas at San Antonio - 2018

 

Research Groups

Analysis and Partial Differential Equations, Differential Geometry, Partial Differential Equations

Research Area

nonlinear PDE, geometric analysis, and geometric measure theory

Bio

Research Interests

I study minimal submanifolds and related topics in geometry and PDE. My work has focused on existence, uniqueness, and regularity questions for minimal submanifolds with possibly high codimension. More generally, I am interested in the interplay between geometry and the nonlinear PDE theory.

Selected Publications

• Special Lagrangians with multiple isolated singularities (with F. Gaia)
  Submitted. Preprint 2026.
• Uniqueness in the Plateau problem for calibrated currents (with C.-K. Lee)
  Submitted. Preprint 2025.
• Minimal submanifolds with multiple isolated singularities
  Submitted. Preprint 2024.
• Strict stability of calibrated cones (with J. Lee)
  Proc. Amer. Math. Soc. 153 (2025), 4411-4422.
• Partial regularity for Lipschitz solutions to the minimal surface system
  Calc. Var. PDE 60 (2023), no. 260.