Postdoctoral Fellow at the University of Toronto (working with Prof. J.
My CV can be found here.
of Mathematics, University of Toronto
Bahen Centre, 40 St. George St., Room 6290
Toronto, ON, Canada
Office: BA 6103
geometry: Finding curves of bounded genus on surfaces,
applications of the Bombieri-Lang conjecture, geometric hyperbolicity,
modular surfaces, Galois
Logic: Definability and decidability in number theory.
Also interested in: Nevanlinna theory, Counting arithmetic
Quadratic sequences of powers and Mohanty's conjecture. Accepted for publication in International Journal of Number Theory (2017). (pdf)
Sequences of powers
with second differences equal to two and hyperbolicity. Accepted for publication in Transactions of the American Mathematical Society (2016). (pdf)
Curves of low genus on surfaces and some extensions of Büchi’s Problem.
Definability and Decidability Problems in Number Theory. Abstracts from
the Oberwolfach workshop held October 23-29, 2016. To appear in
Oberwolfach Reports, European Math. Soc. (pdf)
positive existential interpretation of the integers in rings of entire
functions of positive characteristic. (with H. Pasten) J. Number Theory 156
Representation of Powers by Polynomials and the Language of Powers,
J. Lond. Math. Soc. (2) 87 (2013), no. 2, 347–364.
Thesis (at Queen's University, under the supervision of E. Kani)
Curves of low genus and applications to Diophantine problems. (pdf)