Liam Mazurowski

Office:	Malott 531
Email:	lmm334 [at] cornell [dot] edu

I am currently an H.C. Wang Assistant Professor at Cornell University.

I received my PhD from the University of Chicago in June 2021. My advisor was André Neves.

My research lies in Differential Geometry, Geometric Analysis, and PDEs with a focus on non-linear variational problems. In particular, I am interested in minimal surfaces, constant mean curvature surfaces, the p-Laplacian, and scalar curvature.

• On the Stability of the Yamabe Invariant of S³
            Joint with Xuan Yao
  
• Min-max Theory for Free Boundary Minimal Hypersurfaces in Locally Wedge-Shaped Manifolds
            Joint with Tongrui Wang
  
• Curvature Estimates for Stable Free Boundary Minimal Hypersurfaces in Locally Wedge-Shaped Manifolds
            Joint with Tongrui Wang
  
• Monotone Quantities for p-Harmonic Functions and The Sharp p-Penrose Inequality
            Joint with Xuan Yao
            To appear in Mathematical Research Letters
  
• The Yamabe Invariant of RP³ via Harmonic Functions
            Joint with Xuan Yao
  
• The Half-Volume Spectrum of a Manifold
            Joint with Xin Zhou
  
• Prescribed Mean Curvature Min-Max Theory in Some Non-Compact Manifolds
  
• CMC Doublings of Minimal Surfaces via Min-Max
            Journal of Geometric Analysis, 2022
• A Weyl Law for the p-Laplacian
  
• Generic Extensions and Generic Polynomials for Linear Algebraic Groups
            Joint with Eric Chen and J.T. Ferrara as part of the 2015 LSU REU
            Journal of Algebra, 2016
  

• Fall 2023: Measure Theory and Lebesgue Integration
  
  
• Spring 2023: Introduction to Analysis
  
  
• Fall 2022: Linear Algebra with Applications
  
  
• Spring 2022: Introduction to Analysis
  
  
• Fall 2021: Manifolds and Differential Forms
  Lecture Notes

Pictures of food I've cooked.