Paul Minter is a mathematician working in geometric analysis and geometric measure theory. His work is focused on understanding regularity and compactness questions in geometric variational problems, in particular for minimal submanifolds.
Geometric Measure Theory; Geometric Analysis; Partial Differential Equations; Differential Geometry.
Clay Research Fellowship (Clay Mathematics Institute, 2023)
The Fine Structure of the Singular Set of Area-Minimizing Integral Currents III: Frequency 1 Flat Singular Points and \H^{m-2}-a.e. Uniqueness of Tangent Cones
Joint with C. De Lellis and A. Skorobogatova
arXiv (Apr 2023)
The Structure of Stable Codimension One Integral Varifolds near Classical Cones of Density Q + 1/2
arXiv (Oct 2022)
Quantitative Estimates on the Singular Set of Minimal Hypersurfaces with Bounded Index
Joint with N. S. Aiex and S. McCurdy
arXiv (Sep 2022)
A Structure Theory for Stable Codimension 1 Integral Varifolds with Applications to Area Minimising Hypersurfaces mod p
Joint with N. Wickramasekera
arXiv (Nov 2021), to appear in the Journal of the AMS
The Structure of Stable Codimension One Integral Varifolds near Classical Cones of Density 5/2
arXiv (Aug 2021)
A Campanato Regularity Theory for Multi-Valued Functions with Applications to Minimal Surface Regularity Theory
arXiv (Aug 2021)
Pure Mathematics
