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.[3] 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.[4]
Mitrea joined the University of Missouri mathematics faculty in 1996,[3] and became M. & R. Houchins Distinguished Professor of Mathematics at the University of Missouri in 2016.[5] She moved to Baylor as professor and chair in 2019.[2]
Groupoid Metrization Theory: With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis (with Irina Mitrea, Marius Mitrea, and Sylvie Monniaux, Birkhäuser, 2013)[8]
-Square Function Estimates on Spaces of Homogeneous Type and on Uniformly Rectifiable Sets (with Steve Hofmann, Marius Mitrea, and Andrew J. Morris, Memoirs of the American Mathematical Society, 2017)
Singular Integral Operators, Quantitative Flatness, and Boundary Problems (with Juan José Marín, José María Martell, Irina Mitrea, and Marius Mitrea, Progress in Mathematics, 344, Birkhäuser, 2022)
Geometric Harmonic Analysis I: A Sharp Divergence Theorem with Nontangential Pointwise Traces (with Irina Mitrea and Marius Mitrea, Developments in Mathematics 72, Springer, 2022. ISBN978-3031059490)
Geometric Harmonic Analysis II: Function Spaces Measuring Size and Smoothness on Rough Sets (with Irina Mitrea and Marius Mitrea, Developments in Mathematics 73, Springer, 2022. ISBN978-3031137174)
Geometric Harmonic Analysis III: Integral Representations, Calderón-Zygmund Theory, Fatou Theorems, and Applications to Scattering (with Irina Mitrea and Marius Mitrea, Developments in Mathematics 74, Springer, 2023. ISBN978-3-031-22737-0, doi:10.1007/978-3-031-22735-6)
Geometric Harmonic Analysis IV: Boundary Layer Potentials on Uniformly Rectifiable Domains, and Applications to Complex Analysis (with Irina Mitrea and Marius Mitrea, Developments in Mathematics 75, Springer, 2023. ISBN978-3031291814)
Geometric Harmonic Analysis V: Fredholm Theory and Finer Estimates for Integral Operators, with Applications to Boundary Problems (with Irina Mitrea and Marius Mitrea, Developments in Mathematics 76, Springer, 2023.ISBN978-3031315602)
^Faculty honors, University of Missouri Department of Mathematics, retrieved 2019-09-07
^Eichhorn, Jürgen (2002), "Review of Layer Potentials, the Hodge Laplacian, and Global Boundary Problems in Nonsmooth Riemannian Manifolds", Mathematical Reviews, doi:10.1090/memo/0713, MR1809655