My research focuses on commutative algebra, homological algebra, and algebraic geometry, with particular interest in the algebraic properties of Ext*R(M, N) over complete intersections. I also study matrix factorizations and their applications in commutative algebra and related areas. Beyond pure mathematics, I’m interested in mathematics education, especially the preparation of elementary and secondary teachers, the use of technology in teaching, and alternative grading approaches such as standards-based grading.