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Creators/Authors contains: "Ge, Tangli"

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  1. (, International Journal of Number Theory)
    In this paper, we extend a uniformity result of Dimitrov et al. [Uniformity in Mordell-Lang for curves, Ann. of Math. (2) 194(1) (2021) 237–298] to dimension two and use it to get a uniform bound on the cardinality of the set of all quadratic points for non-hyperelliptic non-bielliptic curves which only depend on the Mordell–Weil rank, the genus of the curve and the degree of the number field. 
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  2. (, International Mathematics Research Notices)
    Abstract In this paper, we prove a uniform version of Poonen’s “Mordell-Lang Plus Bogomolov” theorem [ 12], based on Vojta’s method. Our main contribution is to generalize Rèmond’s work on the large points in order to allow an extra $$\epsilon $$-neighborhood in the canonical height topology. The part on small points follows from [ 8]. 
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