Natalia
Garcia-Fritz

Postdoctoral Fellow at the University of Toronto (working with Prof. J. Tsimerman)

My CV can be found here.

Contact information

Department
of Mathematics, University of Toronto

Bahen Centre, 40 St. George St., Room 6290

Toronto, ON, Canada

M5S 2E4

Office: BA 6103

Email: natalia.garciafritz@utoronto.ca

Bahen Centre, 40 St. George St., Room 6290

Toronto, ON, Canada

M5S 2E4

Office: BA 6103

Email: natalia.garciafritz@utoronto.ca

Mathematical interests

Arithmetic geometry: Finding curves of bounded genus on surfaces, applications of the Bombieri-Lang conjecture, geometric hyperbolicity, modular surfaces, Galois representations.

Logic: Definability and decidability in number theory.

Also interested in: Nevanlinna theory, Counting arithmetic objects.

Papers

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)

Uniform positive existential interpretation of the integers in rings of entire functions of positive characteristic. (with H. Pasten) J. Number Theory 156 (2015), 368-393.

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)