My main research interest is combinatorial commutative algebra. Sometimes, I also address the theoretical aspects of Groebner bases. I have collaborated with several PhD students (including students from other universities) as one of their actual supervisors. However, when I teach undergraduate students, I value the fundamentals.

While "Algebra" is a broad area of mathematics, my main interest lies in the combinatorial aspects of commutative algebra. In addition to the standard techniques of this theory, I also use "derived categories" and "sheaves." These are major tools of mathematics invented in the mid-20th century, but I am one of the first ones to apply them to combinatorial commutative algebra systematically.