Alvarez gained interest in helping disadvantaged minorities with mathematics from an incident of racial discrimination that occurred in Madison, where her sixth-grade son (who had inherited his mother's talent for mathematics) was placed in a lower-level mathematics track because of his Hispanic ethnicity. She moved to Vancouver in 2004, and began the PIMS Emerging Indigenous Scholars Summer School Program at UBC in 2007.[1]
At UBC, Alvarez is known for the summer mathematics camps she developed to improve the mathematical education of indigenous secondary-school students.[1][4] She is the 2012 winner of the Adrien Pouliot Award, given by the Canadian Mathematical Society for significant contributions to mathematics education in Canada.[2]
As well as her work with indigenous people, Alvarez has been active in organizing mathematics competitions, workshops, and fundraising for mathematics education among the general population.[2][5]