Philipp Habegger

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All published works

Action	Title	Year	Authors
+ PDF Chat	Galois orbits of torsion points near atoral sets	2024	Vesselin Dimitrov Philipp Habegger
+	Degeneracy loci in the universal family of Abelian varieties	2024	Ziyang Gao Philipp Habegger
+ PDF Chat	Lower Bounds for the Canonical Height of a Unicritical Polynomial and Capacity	2024	Philipp Habegger Harry Schmidt
+	The number of rational points on a curve of genus at least two	2023	Philipp Habegger
+	Diophantische Approximationen	2023	Yann Bugeaud Pietro Corvaja Laura DeMarco Philipp Habegger
+	Degeneracy loci in the universal family of abelian varieties	2023	Ziyang Gao Philipp Habegger
+	The Relative Manin-Mumford Conjecture	2023	Ziyang Gao Philipp Habegger
+ 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
+	Lower Bounds for the Canonical Height of a Unicritical Polynomial and Capacity	2021	Philipp Habegger Harry Schmidt
+ PDF Chat	The geometric Bogomolov conjecture	2020	Serge Cantat Ziyang Gao Philipp Habegger Junyi Xie
+	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
+	A consequence of the relative Bogomolov conjecture	2020	Vesselin Dimitrov Ziyang Gao Philipp Habegger
+	Exponential periods and o-minimality	2020	Johan Commelin Philipp Habegger Annette Huber
+	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
+ 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
+	Galois orbits of torsion points near atoral sets	2019	Vesselin Dimitrov Philipp Habegger
+	Uniform bound for the number of rational points on a pencil of curves	2019	Vesselin Dimitrov Ziyang Gao Philipp Habegger
+ PDF Chat	No Singular Modulus Is a Unit	2018	Yuri Bilu Philipp Habegger Lars Kühne
+	Effective bounds for singular units	2018	Yu. Bilu Philipp Habegger Lars Kühne
+	Heights in families of abelian varieties and the Geometric Bogomolov Conjecture	2018	Ziyang Gao Philipp Habegger
+	No singular modulus is a unit	2018	Yu. Bilu Philipp Habegger Lars Kühne
+ PDF Chat	Diophantine approximations on definable sets	2017	Philipp Habegger
+ PDF Chat	Bad reduction of genus curves with CM jacobian varieties	2017	Philipp Habegger Fabien Pazuki
+	The Norm of Gaussian Periods	2017	Philipp Habegger
+	Distribution of integral division points on the algebraic torus	2017	Philipp Habegger Su-Ion Ih
+	Quasi-Equivalence of Heights and Runge’s Theorem	2017	Philipp Habegger
+	The Norm of Gaussian Periods	2016	Philipp Habegger
+ PDF Chat	Six unlikely intersection problems in search of effectivity	2016	Philipp Habegger G. Jones David Masser
+ PDF Chat	Teichmüller curves in genus three and just likely intersections in G m n × G a n $\mathbf{G}_{m}^{n}\times\mathbf{G}_{a}^{n}$	2016	Matt Bainbridge Philipp Habegger Martin Möller
+	Diophantine Approximations on Definable Sets	2016	Philipp Habegger
+	The norm of a Gaussian periods	2016	Philipp Habegger
+	Teichmüller curves in genus three and just likely intersections in ${\bf G}_m^n\times{\bf G_a}^n$	2016	Matt Bainbridge Philipp Habegger Martin Möller
+ PDF Chat	O-minimality and certain atypical intersections	2016	Philipp Habegger Jonathan Pila
+	Quasi-equivalence of Heights and Runge's Theorem	2016	Philipp Habegger
+ PDF Chat	Singular moduli that are algebraic units	2015	Philipp Habegger
+	The Manin-Mumford Conjecture, an elliptic Curve, its Torsion Points & their Galois Orbits	2015	Philipp Habegger
+ PDF Chat	Small Points and Free Abelian Groups	2015	Robert Grizzard Philipp Habegger Lukas Pottmeyer
+	Algebra & Number Theory	2015	Philipp Habegger
+	A note on divisible points of curves	2014	Martin Bays Philipp Habegger
+	O-minimality and certain atypical intersections	2014	Philipp Habegger Jonathan Pila
+	Teichmueller curves in genus three and just likely intersections in $G_m^n x G_a^n$	2014	Matt Bainbridge Philipp Habegger Martin Moeller
+	O-minimality and certain atypical intersections	2014	Philipp Habegger Jonathan Pila
+ PDF Chat	Torsion points on elliptic curves in Weierstrass form	2013	Philipp Habegger
+ PDF Chat	Small height and infinite nonabelian extensions	2013	Philipp Habegger
+ PDF Chat	The Tate–Voloch Conjecture in a Power of a Modular Curve	2013	Philipp Habegger
+ PDF Chat	Special points on fibered powers of elliptic surfaces	2013	Philipp Habegger
+	The Tate-Voloch Conjecture in a Power of a Modular Curve	2012	Philipp Habegger
+	Effective Height Upper Bounds on Algebraic Tori	2012	Philipp Habegger
+	The Tate-Voloch Conjecture in a Power of a Modular Curve	2012	Philipp Habegger
+	Special Points on Fibered Powers of Elliptic Surfaces	2011	Philipp Habegger
+ PDF Chat	Some unlikely intersections beyond André–Oort	2011	Philipp Habegger Jonathan Pila
+	Torsion Points on Elliptic Curves in Weierstrass Form	2011	Philipp Habegger
+	Special Points on Fibered Powers of Elliptic Surfaces	2011	Philipp Habegger
+	Torsion Points on Elliptic Curves in Weierstrass Form	2011	Philipp Habegger
+ PDF Chat	A Note on Maurin’s Theorem	2010	Enrico Bombieri Philipp Habegger David Masser Umberto Zannier
+	Weakly bounded height on modular curves	2010	Philipp Habegger
+	Multiplicative dependence and isolation II	2009	Philipp Habegger
+	A Bogomolov property modulo algebraic subgroups	2009	Philipp Habegger
+ PDF Chat	A Bogomolov property for curves modulo algebraic subgroups	2009	Philipp Habegger
+ PDF Chat	On the Bounded Height Conjecture	2008	Philipp Habegger
+ PDF Chat	Intersecting subvarieties of abelian varieties with algebraic subgroups of complementary dimension	2008	Philipp Habegger
+ PDF Chat	Intersecting subvarieties of $${G_m^n}$$ with algebraic subgroups	2008	Philipp Habegger
+	Heights and multiplicative relations on algebraic varieties	2007	Philipp Habegger
+ PDF Chat	The equation x+y=α in multiplicatively dependent unknowns	2005	Philipp Habegger

Common Coauthors

Coauthor	Papers Together
Ziyang Gao	10
Vesselin Dimitrov	7
Ziyang Gao	6
Jonathan Pila	4
Vesselin Dimitrov	4
Matt Bainbridge	3
Lars Kühne	3
Junyi Xie	2
David Masser	2
Serge Cantat	2
Harry Schmidt	2
Martin Möller	2
Yu. Bilu	2
Yann Bugeaud	1
Johan Commelin	1
G. Jones	1
Robert Grizzard	1
Lukas Pottmeyer	1
Umberto Zannier	1
Annette Huber	1
Su-Ion Ih	1
Yuri Bilu	1
Enrico Bombieri	1
Pietro Corvaja	1
Fabien Pazuki	1
Martin Bays	1
Laura DeMarco	1
Martin Moeller	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Heights in Diophantine geometry	2006	Enrico Bombieri Walter Gubler	22
+	EXPONENTIAL SUMS EQUATIONS AND THE SCHANUEL CONJECTURE	2002	Boris Zilber	13
+	Tame Topology and O-minimal Structures	1998	L. P. D. van den Dries	11
+	None	1999	Enrico Bombieri David Masser Umberto Zannier	11
+	Anomalous Subvarieties—Structure Theorems and Applications	2007	Enrico Bombieri David Masser Umberto Zannier	11
+	On Schanuel's Conjectures	1971	James Ax	9
+ PDF Chat	On unlikely intersections of complex varieties with tori	2008	Enrico Bombieri David Masser Umberto Zannier	9
+ PDF Chat	Intersecting a plane with algebraic subgroups of multiplicative groups	2009	Enrico Bombieri David Masser Umberto Zannier	8
+	Some Topics in Differential Algebraic Geometry I: Analytic Subgroups of Algebraic Groups	1972	James Ax	8
+ PDF Chat	On the Bounded Height Conjecture	2008	Philipp Habegger	8
+ PDF Chat	Spans of Hecke points on modular curves	2001	Bjorn Poonen	7
+	Polynomials with Special Regard to Reducibility	2000	Andrzej Schinzel	7
+	Equidistribution of Small Points on Abelian Varieties	1998	Shou-Wu Zhang	7
+	An Introduction to Diophantine Approximation.	1958	John C. Brixey J. W. S. Cassels	7
+	Heights and the specialization map for families of abelian varieties.	1983	Joseph H. Silverman	6
+ PDF Chat	Torsion points on families of squares of elliptic curves	2011	David Masser Umberto Zannier	6
+ PDF Chat	Positive line bundles on arithmetic varieties	1995	Shou-Wu Zhang	6
+	A generalization of the Chowla-Selberg formula.	1991	Yuichiro Taguchi Yukiyoshi Nakkajima	6
+ PDF Chat	The rational points of a definable set	2006	Jonathan Pila A. J. Wilkie	6
+ PDF Chat	On a question of Lehmer and the number of irreducible factors of a polynomial	1979	Edward Dobrowolski	6
+	Algebraic Number Theory	1999	Jürgen Neukirch	6
+ PDF Chat	Heights in families of abelian varieties and the Geometric Bogomolov Conjecture	2019	Ziyang Gao Philipp Habegger	6
+	Courbes algébriques et équations multiplicatives	2008	Guillaume Maurin	6
+ PDF Chat	None	1998	Pierre Colmez	6
+	Positivity in Algebraic Geometry I	2004	Robert Lazarsfeld	6
+	Weakly bounded height on modular curves	2010	Philipp Habegger	6
+ PDF Chat	Rational points in periodic analytic sets and the Manin–Mumford conjecture	2008	Jonathan Pila Umberto Zannier	5
+ PDF Chat	The Arithmetic of Elliptic Curves	1986	Joseph H. Silverman	5
+ PDF Chat	Special points on fibered powers of elliptic surfaces	2013	Philipp Habegger	5
+ PDF Chat	Arithmetic on curves	1986	Barry Mazur	5
+	Elliptic Functions	1987	Serge Lang	5
+	Diophantine Geometry: An Introduction	2000	Marc Hindry Joseph H. Silverman	5
+ PDF Chat	Approximate formulas for some functions of prime numbers	1962	J. Barkley Rosser Lowell Schoenfeld	5
+ PDF Chat	O-minimality and the André-Oort conjecture for C^n	2011	Jonathan Pila	5
+ PDF Chat	Uniform Manin-Mumford for a family of genus 2 curves	2020	Laura DeMarco Holly Krieger Hexi Ye	5
+	Décompte dans une conjecture de Lang	2000	Gaël Rémond	5
+ PDF Chat	Generic rank of Betti map and unlikely intersections	2020	Ziyang Gao	5
+ PDF Chat	The irreducibility of the space of curves of given genus	1969	Pierre Deligne D. Mumford	5
+	An Introduction to the Theory of Numbers. By G. H. Hardy and E. M. Wright. 2nd edition. Pp. xvi, 407 25s. 1945. (Oxford)	1946	T. A. A. B.	5
+	The average number of rational points on genus two curves is bounded	2018	Levent Alpöge	4
+ PDF Chat	Uniform bounds for the number of rational points on hyperelliptic curves of small Mordell–Weil rank	2018	Michael Stoll	4
+	Le problème de Lehmer en dimension supérieure	1999	Francesco Amoroso S. David	4
+ PDF Chat	Lemmes de zéros dans les groupes algébriques commutatifs	1986	Patrice Philippon	4
+ PDF Chat	Heights of projective varieties and positive Green forms	1994	Jean-Benoît Bost Henri Gillet Christophe Soulé	4
+ PDF Chat	Torsion anomalous points and families of elliptic curves	2010	David Masser Umberto Zannier	4
+	Inégalité de Vojta en dimension supérieure	2000	Gaël Rémond	4
+ PDF Chat	On measures of polynomials in several variables	1981	Chris Smyth	4
+	Hyperbolic distribution problems and half-integral weight Maass forms	1988	William Duke	4
+ PDF Chat	Torsion anomalous points and families of elliptic curves	2008	David Masser Umberto Zannier	4
+	Points rationnels sur les familles de courbes de genre au moins 2	1997	Teresa De Diego	4