Tapia is currently the University Professor at Rice University. His professional academic career began in 1968 when he accept an assistant professor position at the Mathematics Research Center (MRC) at the University of Wisconsin-Madison. After two years at the MRC, he moved to Rice University, where he remains to this day.
University positions • 1968–1970: Assistant Professor,
Army Mathematics Research Center,
University of Wisconsin–Madison • 1970–1972: Assistant Professor of Mathematical Sciences, Rice University • 1972–1976: Associate Professor of Mathematical Sciences, Rice University • 1976–present: Professor of Mathematical Sciences, Rice University • 1978–1983: Chair, Department of Mathematical Sciences, Rice University • 1978–1983: Adjunct Professor,
T.I.R.R., (then called the Texas Institute for Rehabilitation and Research) Baylor College of Medicine • 1986–1988: Lecturer, Department of Community Medicine,
Baylor College of Medicine • 1989–2000:Director of Education and Outreach Programs, Center for Research on Parallel Computation, Rice University • 1989–present: Associate Director of Graduate Studies, Office of Research and Graduate Studies, Rice University • 1991–2005: Noah Harding Professor of Computational and Applied Mathematics, Rice University • 1999–present: Director, Center for Excellence and Equity in Education, Rice University • 2000–present: Adjunct Professor, College of Natural Sciences and Mathematics, University of Houston • 2005–present: Maxfield and Oshman Professor of Engineering, Rice University • 2005–present: University Professor, Rice University
External positions • 1978–1991: Editor,
SIAM Journal on Numerical Analysis • 1981–1996: Editor,
Journal of Optimization Theory and Applications • 1989–1992: Member, SIAM Board of Trustees, • 1990–1991: Editor,
SIAM Journal on Optimization • 1992–1994: Member, Mathematical Sciences Education Board,
National Research Council • 1992: Member,
National Academy of Engineering • 1996–2002: Member,
National Science Board Publications Tapia has published two books and authored or co-authored over 100 research papers in mathematics. In 2022, Tapia published the book
Losing the Precious Few: How America Fails to Educate its Minorities in Science and Engineering. The book examines the lack of representation of domestic minority groups in STEM fields, identifying key causes such as standardized testing, gaps in K-12 education, and racial biases. He emphasizes the importance of improving access to higher education to address this disparity. The book offers insights for educators, students, and parents on fostering a more inclusive academic environment. ; Books • {{cite book|title=Nonparametric Density Estimation|publisher=Johns Hopkins University Press|location=Baltimore, Maryland|date=1978 • {{cite book|title=Nonparametric Function Estimation, Modeling, and Simulation|publisher=Society for Industrial and Applied Mathematics (SIAM)|location=Philadelphia, Pennsylvania|date=1990 == Awards and honors ==