Dr. Teixeira has interests in both pure and applied Mathematics, as well as in Mathematics Education. In pure Mathematics, his main work is in the Functional Analysis field. He received his PhD from The University of Texas at Austin, advised by Dr. Edward Odell. Dr. Teixeira solved the problem of whether the set of S_α-Singular operators form an ideal. Currently, he studies structure of infinite-dimensional Banach Spaces.
In applied Mathematics, Dr. Teixeira has worked in developing tools to predict the results of future events. His tool can be successfully applied to predicting the outcome of sports events. Under this research line, Dr. Teixeira has advised graduate students in projects.
Dr. Teixeira has also been actively working in developing rigorous mathematical explanation for magic tricks and other recreational activities. So far, he has published and worked in relating topics such as Probability, Theory of Cyclic Groups, Linear Algebra, Coding Theory, Algorithms for Data Transmission, and more, with magic tricks. To this date, over 15,000 students have witnessed Dr. Teixeira perform and explain his “Mathemagics” tricks.
In Mathematics Education, Dr. Teixeira has also contributed to researches regarding how college students may mature quantitative reasoning abilities.