[2] Wyels did her undergraduate studies at Pomona College, and earned a master's degree from the University of Michigan.
[1] She completed her Ph.D. in mathematics from the University of California, Santa Barbara in 1994; her dissertation, Isomorphism Problems In A Matrix Setting, was supervised by Morris Newman.
[1][4] In 2012, Wyels was a winner of one of the Deborah and Franklin Haimo Awards for Distinguished College or University Teaching of Mathematics, given by the Mathematical Association of America to recognize teaching excellence that extends beyond a single institution.
Her award citation particularly recognized her mentorship of Mexican and first-generation college students through the Research Experiences for Undergraduates program and through personal donations to education in Mexico, and her foundation of a mentorship program at CSUCI.
[5] In 2017, the Society for the Advancement of Chicanos/Hispanics and Native Americans in Science gave Wyels their distinguished mentor award.