Ziyang Gao

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All published works

Action	Title	Year	Authors
+ PDF Chat	The Ax–Schanuel conjecture for variations of mixed Hodge structures	2023	Ziyang Gao Bruno Klingler
+ PDF Chat	Corrigendum: Generic rank of Betti map and unlikely intersections	2021	Ziyang Gao
+ PDF Chat	Uniformity in Mordell–Lang for curves	2021	Vesselin Dimitrov Ziyang Gao Philipp Habegger
+ PDF Chat	A consequence of the relative Bogomolov conjecture	2021	Vesselin Dimitrov Ziyang Gao Philipp Habegger
+	The Ax-Schanuel conjecture for variations of mixed Hodge structures	2021	Ziyang Gao Bruno Klingler
+	Recent developments of the Uniform Mordell-Lang Conjecture	2021	Ziyang Gao
+	The Uniform Mordell-Lang Conjecture	2021	Ziyang Gao Tangli Ge Lars Kühne
+ PDF Chat	Generic rank of Betti map and unlikely intersections	2020	Ziyang Gao
+ PDF Chat	The geometric Bogomolov conjecture	2020	Serge Cantat Ziyang Gao Philipp Habegger Junyi Xie
+ PDF Chat	Mixed Ax–Schanuel for the universal abelian varieties and some applications	2020	Ziyang Gao
+	A consequence of the relative Bogomolov conjecture	2020	Vesselin Dimitrov Ziyang Gao Philipp Habegger
+	Uniformity in Mordell-Lang for curves.	2020	Vesselin Dimitrov Ziyang Gao Philipp Habegger
+ PDF Chat	The geometric Bogomolov conjecture	2019	Serge Cantat Ziyang Gao Philipp Habegger Junyi Xie
+	4. Faltings Heights and L-functions: Minicourse Given by Shou-Wu Zhang	2019	Lucia Mocz Rafael von Känel Ziyang Gao
+ PDF Chat	Uniform Bound for the Number of Rational Points on a Pencil of Curves	2019	Vesselin Dimitrov Ziyang Gao Philipp Habegger
+	Uniform bound for the number of rational points on a pencil of curves	2019	Vesselin Dimitrov Ziyang Gao Philipp Habegger
+ PDF Chat	Heights in families of abelian varieties and the Geometric Bogomolov Conjecture	2019	Ziyang Gao Philipp Habegger
+ PDF Chat	ENLARGED MIXED SHIMURA VARIETIES, BI-ALGEBRAIC SYSTEM AND SOME AX TYPE TRANSCENDENTAL RESULTS	2019	Ziyang Gao
+	Heights in families of abelian varieties and the Geometric Bogomolov Conjecture	2018	Ziyang Gao Philipp Habegger
+	Mixed Ax-Schanuel for the universal abelian varieties and some applications	2018	Ziyang Gao
+ PDF Chat	A special point problem of André-Pink-Zannier in the universal family of abelian varieties	2017	Ziyang Gao
+	About the mixed André–Oort conjecture: Reduction to a lower bound for the pure case	2016	Ziyang Gao
+	Enlarged mixed Shimura varieties, bi-algebraic system and some Ax type transcendental results	2016	Ziyang Gao
+ PDF Chat	Towards the Andre–Oort conjecture for mixed Shimura varieties: The Ax–Lindemann theorem and lower bounds for Galois orbits of special points	2015	Ziyang Gao
+	Le théorème d’Ax-Lindemann mixte et ses applications à la conjecture de Zilber-Pink	2014	Ziyang Gao
+ PDF Chat	The mixed Ax-Lindemann theorem and its applications to the Zilber-Pink conjecture	2014	Ziyang Gao
+	A special point problem of André-Pink-Zannier in the universal family of abelian varieties	2014	Ziyang Gao
+	Towards the generalized Andr\'{e}-Oort conjecture: the Ax-Lindemann theorem and lower bounds for Galois orbits of special points of mixed Shimura varieties	2013	Ziyang Gao
+	Towards the André-Oort conjecture for mixed Shimura varieties: the Ax-Lindemann theorem and lower bounds for Galois orbits of special points	2013	Ziyang Gao
+	On cyclic commutative po-semigroups	1997	Ziyang Gao K. P. Shum

Common Coauthors

Coauthor	Papers Together
Philipp Habegger	10
Vesselin Dimitrov	6
Serge Cantat	2
Bruno Klingler	2
Junyi Xie	2
Lucia Mocz	1
Rafael von Känel	1
Lars Kühne	1
Tangli Ge	1
K. P. Shum	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Arithmetical compactification of mixed Shimura varieties	1990	Richard Pink	10
+ PDF Chat	Generic rank of Betti map and unlikely intersections	2020	Ziyang Gao	9
+ PDF Chat	Towards the Andre–Oort conjecture for mixed Shimura varieties: The Ax–Lindemann theorem and lower bounds for Galois orbits of special points	2015	Ziyang Gao	9
+ PDF Chat	The hyperbolic Ax-Lindemann-Weierstraß conjecture	2015	Bruno Klingler Emmanuel Ullmo Andrei Yafaev	9
+	Algebraic groups and number theory	1992	В. П. Платонов Andrei S. Rapinchuk	8
+ PDF Chat	Heights in families of abelian varieties and the Geometric Bogomolov Conjecture	2019	Ziyang Gao Philipp Habegger	8
+ PDF Chat	Ax-Lindemann for A_g	2014	Jonathan Pila Jacob Tsimerman	8
+ PDF Chat	Definability of restricted theta functions and families of abelian varieties	2013	Ya’acov Peterzil Sergei Starchenko	8
+ PDF Chat	Arithmetic on curves	1986	Barry Mazur	7
+	Equidistribution of Small Points on Abelian Varieties	1998	Shou-Wu Zhang	7
+	Heights and the specialization map for families of abelian varieties.	1983	Joseph H. Silverman	7
+	On Schanuel's Conjectures	1971	James Ax	7
+	Some Topics in Differential Algebraic Geometry I: Analytic Subgroups of Algebraic Groups	1972	James Ax	7
+ PDF Chat	A Combination of the Conjectures of Mordell-Lang and André-Oort	2006	Richard Pink	7
+ PDF Chat	O-minimality and certain atypical intersections	2016	Philipp Habegger Jonathan Pila	7
+ PDF Chat	O-minimality and the André-Oort conjecture for C^n	2011	Jonathan Pila	7
+ PDF Chat	Special points on fibered powers of elliptic surfaces	2013	Philipp Habegger	7
+	Décompte dans une conjecture de Lang	2000	Gaël Rémond	7
+	The Betti map associated to a section of an abelian scheme (with an appendix by Z. Gao)	2018	Yves André Pietro Corvaja Umberto Zannier	7
+	Mumford-Tate groups of mixed Hodge structures and the theorem of the fixed part	1992	Yves André	6
+ PDF Chat	Mixed Ax–Schanuel for the universal abelian varieties and some applications	2020	Ziyang Gao	6
+	POINTS OF FINITE ORDER ON AN ABELIAN VARIETY	1981	Fedor Bogomolov	6
+ PDF Chat	Uniform Manin-Mumford for a family of genus 2 curves	2020	Laura DeMarco Holly Krieger Hexi Ye	6
+	Inégalité de Vojta en dimension supérieure	2000	Gaël Rémond	6
+ PDF Chat	None	1998	B.J. Moonen	6
+ PDF Chat	Uniform bounds for the number of rational points on hyperelliptic curves of small Mordell–Weil rank	2018	Michael Stoll	5
+	Heights in Diophantine geometry	2006	Enrico Bombieri Walter Gubler	5
+	Complex analytic geometry and analytic-geometric categories	2009	Ya’acov Peterzil Sergei Starchenko	5
+	A Uniform Bound for Rational Points on Twists of a Given Curve	1993	Joseph H. Silverman	5
+	The average number of rational points on genus two curves is bounded	2018	Levent Alpöge	5
+	Positivite et Discretion des Points Algebriques des Courbes	1998	Emmanuel Ullmo	5
+ PDF Chat	Uniform bounds for the number of rational points on curves of small Mordell–Weil rank	2016	Eric Katz Joseph Rabinoff David Zureick-Brown	5
+	Volumes of complex analytic subvarieties of Hermitian symmetric spaces	2002	Jun-Muk Hwang Wing-Keung To	5
+	Points rationnels sur les familles de courbes de genre au moins 2	1997	Teresa De Diego	5
+ PDF Chat	A special point problem of André-Pink-Zannier in the universal family of abelian varieties	2017	Ziyang Gao	5
+ PDF Chat	Ax-Schanuel for Shimura varieties	2019	Ngaiming Mok Jonathan Pila Jacob Tsimerman	5
+	Siegel's Theorem in the Compact Case	1991	Paul Vojta	5
+ PDF Chat	The irreducibility of the space of curves of given genus	1969	Pierre Deligne D. Mumford	5
+ PDF Chat	Uniform Bound for the Number of Rational Points on a Pencil of Curves	2019	Vesselin Dimitrov Ziyang Gao Philipp Habegger	5
+	Uniformity in Mordell-Lang for curves.	2020	Vesselin Dimitrov Ziyang Gao Philipp Habegger	5
+ PDF Chat	Torsion points on families of simple abelian surfaces and Pell's equation over polynomial rings (with an appendix by E. V. Flynn)	2015	David Masser Umberto Zannier	4
+ PDF Chat	Applications du théorème d’Ax–Lindemann hyperbolique	2013	Emmanuel Ullmo	4
+	The Mordell conjecture revisited	1990	Enrico Bombieri	4
+ PDF Chat	Galois orbits and equidistribution of special subvarieties: towards the André-Oort conjecture	2014	Emmanuel Ullmo Andrei Yafaev	4
+ PDF Chat	Heights of projective varieties and positive Green forms	1994	Jean-Benoît Bost Henri Gillet Christophe Soulé	4
+	Tame Topology and O-minimal Structures	1998	L. P. D. van den Dries	4
+ PDF Chat	Theta height and Faltings height	2012	Fabien Pazuki	4
+ PDF Chat	Torsion points on families of squares of elliptic curves	2011	David Masser Umberto Zannier	4
+ PDF Chat	A Study of Variation of Mixed Hodge Structure	1986	Masaki Kashiwara	4
+ PDF Chat	Relative Manin–Mumford for Semi-Abelian Surfaces	2016	Daniel Bertrand David Masser Anthony L. Pillay Umberto Zannier	4