11 citations · 15 across the 3 of their papers we have counts for
4 papers
Irrational points on random hyperelliptic curves
Joseph Gunther, Jackson S. Morrow
We consider genus hyperelliptic curves over with a rational Weierstrass point, ordered by height. If is odd, we prove, under an assumption, that there exis…
Slicing the stars: counting algebraic numbers, integers, and units by degree and height
Robert Grizzard, Joseph Gunther
Masser and Vaaler have given an asymptotic formula for the number of algebraic numbers of given degree and increasing height. This problem was solved by counting lattice points…
Integral points of bounded degree on the projective line and in dynamical orbits
Joseph Gunther, Wade Hindes
Let be a non-empty effective divisor on . We show that when ordered by height, any set of -integral points on of bounded degree has relative…
Random hypersurfaces and embedding curves in surfaces over finite fields
Joseph Gunther
We use Poonen's closed point sieve to prove two independent results. First, we show that the obvious obstruction to embedding a curve in a smooth surface is the only obstruction ov…