The Arithmetic of Differential Equations
Addressing the question of when algebraic differential equations yield algebraic function solutions, tracing the history from Fuchs to contemporary conjectures by Grothendieck and Katz.
Assistant Professor
Self-contained public lectures, keynote addresses, and research seminars.
Addressing the question of when algebraic differential equations yield algebraic function solutions, tracing the history from Fuchs to contemporary conjectures by Grothendieck and Katz.
An exploration of non-abelian Hodge theory, developing structures on fundamental group representations analogous to those in cohomology, and presenting new related conjectures.