Dorina Mitrea


Dorina Irena-Rita Mitrea is a Romanian-American mathematician known for her work in harmonic analysis, partial differential equations, and the theory of distributions, and in mathematics education. She is a professor of mathematics and chair of the mathematics department at Baylor University.

Education and career

Mitrea earned a master's degree in 1987 from the University of Bucharest. Her thesis, Riemann’s Theorem for Simply Connected Riemann Surfaces, was supervised by Cabiria Andreian Cazacu. She completed her doctorate in 1996 from the University of Minnesota. Her dissertation, Layer Potential Operators and Boundary Value Problems for Differential Forms on Lipschitz Domains, was supervised by Eugene Barry Fabes.
Mitrea joined the University of Missouri mathematics faculty in 1996, and became M. & R. Houchins Distinguished Professor of Mathematics at the University of Missouri in 2016. She moved to Baylor as professor and chair in 2019.

Books

Mitrea is the author of:
  • Layer Potentials, the Hodge Laplacian, and Global Boundary Problems in Nonsmooth Riemannian Manifolds
  • Calculus Connections: Mathematics for Middle School Teachers
  • Distributions, Partial Differential Equations, and Harmonic Analysis
  • Groupoid Metrization Theory: With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis
  • The Hodge-Laplacian: Boundary Value Problems on Riemannian Manifolds
  • -Square Function Estimates on Spaces of Homogeneous Type and on Uniformly Rectifiable Sets
  • Singular Integral Operators, Quantitative Flatness, and Boundary Problems
  • Geometric Harmonic Analysis I: A Sharp Divergence Theorem with Nontangential Pointwise Traces
  • Geometric Harmonic Analysis II: Function Spaces Measuring Size and Smoothness on Rough Sets
  • Geometric Harmonic Analysis III: Integral Representations, Calderón-Zygmund Theory, Fatou Theorems, and Applications to Scattering
  • Geometric Harmonic Analysis IV: Boundary Layer Potentials on Uniformly Rectifiable Domains, and Applications to Complex Analysis
  • ''Geometric Harmonic Analysis V: Fredholm Theory and Finer Estimates for Integral Operators, with Applications to Boundary Problems''

Recognition

Mitrea was elected as a Fellow of the American Mathematical Society in the 2024 class of fellows.

Personal life

She is married to Marius Mitrea. Her husband is also a mathematician, and moved with Mitrea from Missouri to Baylor.