Philipp Habegger

most citedTeichmueller curves in genus three and just likely intersections in

G_{m}^{n} x G_{a}^{n}

7 citations · 10 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2016★ 3 cited

Diophantine Approximations on Definable Sets

P. Habegger

Consider the vanishing locus of a real analytic function on $R^{n}$ restricted to $[0, 1]^{n}$ . We bound the number of rational points of bounded height that approximate this s…

math.NT2016

Quasi-equivalence of Heights and Runge's Theorem

P. Habegger

Let $P$ be a polynomial that depends on two variables $X$ and $Y$ and has algebraic coefficients. If $x$ and $y$ are algebraic numbers with $P (x, y) = 0$ , then by work of Néron $h(x)/…

math.AG2014★ 7 cited

Teichmueller curves in genus three and just likely intersections in $G_{m}^{n} x G_{a}^{n}$

Matt Bainbridge, Philipp Habegger, Martin Moeller

We prove that the moduli space of compact genus three Riemann surfaces contains only finitely many algebraically primitive Teichmueller curves. For the stratum consisting of holomo…

Diophantine Approximations on Definable Sets

Quasi-equivalence of Heights and Runge's Theorem

Teichmueller curves in genus three and just likely intersections in Gmn​xGan​

Teichmueller curves in genus three and just likely intersections in $G_{m}^{n} x G_{a}^{n}$