She went to Yale University for graduate studies, completing her Ph.D. there in 1993. Her dissertation, Sobolev Spaces On Lipschitz Curves: Paraproducts, Inverses And Some Related Operators, was supervised by Peter Jones.[4][5] After working for three years as an instructor at Princeton University, she joined the University of New Mexico faculty in 1996.[4]
Books
Pereyra is the author or editor of:
Lecture Notes on Dyadic Harmonic Analysis (Second Summer School in Analysis and Mathematical Physics, Cuernavaca, 2000; Contemporary Mathematics 289, American Mathematical Society, 2001)[6]
Wavelets, Their Friends, and What They Can Do For You (with Martin Mohlenkamp, EMS Lecture Series in Mathematics, European Mathematical Society, 2008)[7]
Harmonic Analysis: from Fourier to Wavelets (with Lesley Ward, Student Mathematical Library 63, American Mathematical Society, 2012)[8]
Harmonic Analysis, Partial Differential Equations, Complex Analysis, Banach Spaces, and Operator Theory: Celebrating Cora Sadosky's Life, Vols. I, II (edited with S. Marcantognini, A. M. Stokolos, and W. Urbina, Association for Women in Mathematics Series, Springer, 2016 and 2017)