N. Garcia-Fritz

发表

A Diophantine definition of the constants in $\mathbb{Q}(z)$

H. Pasten, N. Garcia-Fritz, 2022, 2208.11616.

Non-Diophantine sets in rings of functions

T. Pheidas, H. Pasten, N. Garcia-Fritz, 2022, 2210.10556.

Towards Hilbert’s tenth problem for rings of integers through Iwasawa theory and Heegner points

H. Pasten, N. Garcia-Fritz, 2020, Mathematische Annalen.

Sequences of powers with second differences equal to two and hyperbolicity

N. Garcia-Fritz, 2017 .

Quadratic sequences of powers and Mohanty’s conjecture

N. Garcia-Fritz, 2016, 1610.05340.

Families of explicit quasi-hyperbolic and hyperbolic surfaces

G. Urz'ua, N. Garcia-Fritz, 2018, Mathematische Zeitschrift.

On the conjectures of Vojta and Campana over function fields with explicit exceptional sets

N. Garcia-Fritz, 2022, 2203.00626.

Elliptic Curves with Long Arithmetic Progressions Have Large Rank

H. Pasten, N. Garcia-Fritz, 2019, International Mathematics Research Notices.

Towards Hilbert’s tenth problem for rings of integers through Iwasawa theory and Heegner points

H. Pasten, N. Garcia-Fritz, 2019, Mathematische Annalen.

Uniform positive existential interpretation of the integers in rings of entire functions of positive characteristic

H. Pasten, N. Garcia-Fritz, 2014, 1411.7109.