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Brock Schmutzler

Lecturer

Brock Schmutzler

Educational Background

Ph.D. (2016) University of Missouri

M.A. (2011) University of Missouri

B.S. (2006) Truman State University

Departments/Programs

  • Mathematics

Research

Geometric analysis, geometric measure theory, global analysis, harmonic analysis; boundary value problems involving non-smooth domains, layer potential methods 

Courses

Fall 2020

Publications

• Calderón–Zygmund Theory for Second-Order Elliptic Systems on Riemannian Manifolds (with D. Mitrea, I. Mitrea, and M. Mitrea), Integral Methods in Science and Engineering, pp. 413-426, C. Constanda and A. Kirsch (editors), Birkhäuser, 2015.

• The Regularity Problem in Rough Subdomains of Riemannian Manifolds (with M. Mitrea), Integral Methods in Science and Engineering, pp. 427-440, C. Constanda and A. Kirsch (editors), Birkhäuser, 2015.

• Characterizing the Density of Continuous Functions in Lebesgue Spaces and Lusin’s Theorem via Regularity Properties of the Underlying Measure Space (with R. Alvarado and M. Mitrea), preprint (20 pages).

• Layer Potential Techniques for Boundary Value Problems on Rough Subdomains of Riemannian Manifolds (with D. Mitrea, I. Mitrea, and M. Mitrea), in preparation (250 pages).