35 citations · 93 across the 19 of their papers we have counts for
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Teichmueller curves in genus three and just likely intersections in
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…
O-minimality and certain atypical intersections
Philipp Habegger, Jonathan Pila
We show that the strategy of point counting in o-minimal structures can be applied to various problems on unlikely intersections that go beyond the conjectures of Manin-Mumford and…
Small points and free abelian groups
Robert Grizzard, Philipp Habegger, Lukas Pottmeyer
Let be an algebraic extension of the rational numbers and an elliptic curve defined over some number field contained in . The absolute logarithmic Weil height, respectiv…
Singular Moduli that are Algebraic Units
Philipp Habegger
We prove that only finitely many -invariants of elliptic curves with complex multiplication are algebraic units. A rephrased and generalized version of this result resembles Sie…