Research

Schmidt is nominally a number theorist. He is currently most interested in: natural extensions for continued fractions for various Fuchsian groups (with C. Kraaikamp, and various third co-authors: K. Calta, I. Smeets, H. Nakada, and W. Steiner; with K. Calta; and, with P. Arnoux) and connections between the ergodic theory of billiards and 1-forms on algebraic curves and, with the ergodic theory and arithmetic of generalized continued fractions. Recent results include joint work with former Ph.D. student B. Edwards and former master's student S. Sanderson on a method for computing Veech groups of translation surfaces.

PhD Students

Schmidt's current PhD students are: Peyton Pfeiffer, Mesa Walker, and Ayse Yiltekin. Worapan Homsomboon finished his dissertation, on dynamical systems on the Sierpinski carpet in the summer of 2022. Other former PhD students: K. Daowsud, H. Do, B. Edwards, T. Hatase, A. Moreira (Bell), J. Schmurr, K. Smith, see linked website (under photo).

Education

Ph.D., Pennsylvania, 1989

Research areas