Daniel Loughran

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All published works

Action	Title	Year	Authors
+ PDF Chat	Campana points on wonderful compactifications	2024	Dylon Chow Daniel Loughran Ramin Takloo-Bighash Sho Tanimoto
+	Frobenian multiplicative functions and rational points in fibrations	2023	Daniel Loughran Lilian Matthiesen
+ PDF Chat	The elliptic sieve and Brauer groups	2023	Subham Bhakta Daniel Loughran Simon L. Rydin Myerson Masahiro Nakahara
+ PDF Chat	Distribution of genus numbers of abelian number fields	2023	Christopher Frei Daniel Loughran Rachel Newton
+	Normal distribution of bad reduction	2023	Robert J. Lemke Oliver Daniel Loughran Ari Shnidman
+	The Hasse norm principle for abelian extensions -- corrigendum	2023	Christopher Frei Daniel Loughran Rachel Newton
+	Rationality and arithmetic of the moduli of abelian varieties	2023	Daniel Loughran G. K. Sankaran
+ PDF Chat	GOOD REDUCTION AND CYCLIC COVERS	2022	Ariyan Javanpeykar Daniel Loughran Siddharth Mathur
+ PDF Chat	Rank jumps on elliptic surfaces and the Hilbert property	2022	Daniel Loughran Cecília Salgado
+ PDF Chat	Number fields with prescribed norms (with an appendix by Yonatan Harpaz and Olivier Wittenberg)	2022	Christopher Frei Daniel Loughran Rachel Newton
+ PDF Chat	Multivariate normal distribution for integral points on varieties	2022	Daniel El-Baz Daniel Loughran Efthymios Sofos
+ PDF Chat	Number fields with prescribed norms	2022	Christopher Frei Daniel Loughran Rachel Newton Yonatan Harpaz Olivier Wittenberg
+ PDF Chat	Quantitative arithmetic of diagonal degree 2 K3 surfaces	2021	Damián Gvirtz Daniel Loughran Masahiro Nakahara
+ PDF Chat	An Erdős–Kac law for local solubility in families of varieties	2021	Daniel Loughran Efthymios Sofos
+	The elliptic sieve and Brauer groups	2021	Subham Bhakta Daniel Loughran Simon L. Rydin Myerson Masahiro Nakahara
+ PDF Chat	Arithmetic hyperbolicity and a stacky Chevalley–Weil theorem	2020	Ariyan Javanpeykar Daniel Loughran
+ PDF Chat	Brauer–Manin obstruction for Erdős–Straus surfaces	2020	Martin Bright Daniel Loughran
+	Multivariate normal distribution for integral points on varieties	2020	Daniel El-Baz Daniel Loughran Efthymios Sofos
+	Multivariate normal distribution for integral points on varieties	2020	Daniel El-Baz Daniel Loughran Efthymios Sofos
+ PDF Chat	Pseudo-split fibers and arithmetic surjectivity	2020	Daniel Loughran Alexei N. Skorobogatov Arne Smeets
+ PDF Chat	Inverse Galois problem for del Pezzo surfaces over finite fields	2020	Daniel Loughran Andrey Trepalin
+	Hasse principle for a family of K3 surfaces	2020	Daniel Loughran
+	Quantitative arithmetic of diagonal degree $2$ K3 surfaces	2019	Damián Gvirtz Daniel Loughran Masahiro Nakahara
+ PDF Chat	Integral Hasse Principle and Strong Approximation for Markoff Surfaces	2019	Daniel Loughran Vladimir Mitankin
+	Quantitative arithmetic of diagonal degree $2$ K3 surfaces	2019	Damián Gvirtz Daniel Loughran Masahiro Nakahara
+	Rank jumps on elliptic surfaces and the Hilbert property	2019	Daniel Loughran Cecília Salgado
+	Frobenian multiplicative functions and rational points in fibrations	2019	Daniel Loughran Lilian Matthiesen
+ PDF Chat	ZERO-LOCI OF BRAUER GROUP ELEMENTS ON SEMI-SIMPLE ALGEBRAIC GROUPS	2018	Daniel Loughran Ramin Takloo-Bighash Sho Tanimoto
+	Inverse Galois problem for del Pezzo surfaces over finite fields	2018	Daniel Loughran Andrey Trepalin
+	Arithmetic hyperbolicity and a stacky Chevalley-Weil theorem	2018	Ariyan Javanpeykar Daniel Loughran
+	Integral Hasse principle and strong approximation for Markoff surfaces.	2018	Daniel Loughran Vladimir Mitankin
+ PDF Chat	The number of varieties in a family which contain a rational point	2018	Daniel Loughran
+	Rational points and non-anticanonical height functions	2018	Christopher Frei Daniel Loughran
+ PDF Chat	Good reduction of Fano threefolds and sextic surfaces	2018	Ariyan Javanpeykar Daniel Loughran
+ PDF Chat	Del Pezzo surfaces over finite fields and their Frobenius traces	2018	Barinder S. Banwait Francesc Fité Daniel Loughran
+ PDF Chat	Rational points of bounded height on general conic bundle surfaces	2018	Christopher Frei Daniel Loughran Efthymios Sofos
+	Sieving rational points on varieties	2018	T. D. Browning Daniel Loughran
+ PDF Chat	The Hasse norm principle for abelian extensions	2018	Christopher Frei Daniel Loughran Rachel Newton
+	Inverse Galois problem for del Pezzo surfaces over finite fields	2018	Daniel Loughran Andrey Trepalin
+	Integral Hasse principle and strong approximation for Markoff surfaces	2018	Daniel Loughran Vladimir Mitankin
+	An Erd\H{o}s-Kac law for local solubility in families of varieties	2017	Daniel Loughran Efthymios Sofos
+	Rational points and non-anticanonical height functions	2017	Christopher Frei Daniel Loughran
+	D. Loughran - Sieving rational points on algebraic varieties	2017	Daniel Loughran Jérémy Magnien
+	Sieving rational points on varieties	2017	T. D. Browning Daniel Loughran
+	Zero-loci of Brauer group elements on semi-simple algebraic groups	2017	Daniel Loughran Ramin Takloo-Bighash Sho Tanimoto
+	Pseudo-split fibres and arithmetic surjectivity	2017	Daniel Loughran Alexei N. Skorobogatov Arne Smeets
+ PDF Chat	Normes de droites sur les surfaces cubiques	2017	Jean-Louis Colliot-Thélène Daniel Loughran
+	Sieving rational points on varieties	2017	T. D. Browning Daniel Loughran
+	Normes de droites sur les surfaces cubiques	2017	Jean-Louis Colliot-Thélène Daniel Loughran
+ PDF Chat	The moduli of smooth hypersurfaces with level structure	2016	Ariyan Javanpeykar Daniel Loughran
+ PDF Chat	Varieties with too many rational points	2016	T. D. Browning Daniel Loughran
+ PDF Chat	Fibrations with few rational points	2016	Daniel Loughran Arne Smeets
+ PDF Chat	Complete intersections: moduli, Torelli, and good reduction	2016	Ariyan Javanpeykar Daniel Loughran
+ PDF Chat	Failures of weak approximation in families	2016	Martin Bright T. D. Browning Daniel Loughran
+	Good reduction of Fano threefolds and sextic surfaces	2015	Ariyan Javanpeykar Daniel Loughran
+	The moduli of smooth hypersurfaces with level structure	2015	Ariyan Javanpeykar Daniel Loughran
+	Fibrations with few rational points	2015	Daniel Loughran Arne Smeets
+ PDF Chat	The Hasse principle for lines on diagonal surfaces	2015	Jörg Jahnel Daniel Loughran
+ PDF Chat	Rational points of bounded height and the Weil restriction	2015	Daniel Loughran
+	The Hasse norm principle for abelian extensions	2015	Christopher Frei Daniel Loughran Rachel Newton
+	Complete intersections: Moduli, Torelli, and good reduction	2015	Ariyan Javanpeykar Daniel Loughran
+ PDF Chat	The Hasse Principle for Lines on del Pezzo Surfaces	2015	Jörg Jahnel Daniel Loughran
+ PDF Chat	Good reduction of algebraic groups and flag varieties	2015	Ariyan Javanpeykar Daniel Loughran
+	Good reduction of algebraic groups and flag varieties	2015	Ariyan Javanpeykar Daniel Loughran
+	Fibrations with few rational points	2015	Daniel Loughran Arne Smeets
+ PDF Chat	Equivariant Compactifications of Two-Dimensional Algebraic Groups	2014	Ulrich Derenthal Daniel Loughran
+	The Hasse principle for lines on del Pezzo surfaces	2014	Jörg Jahnel Daniel Loughran
+	The Hasse principle for lines on del Pezzo surfaces	2014	Jörg Jahnel Daniel Loughran
+	The number of varieties in a family which contain a rational point	2013	Daniel Loughran
+	Varieties with too many rational points	2013	T. D. Browning Daniel Loughran
+	The number of varieties in a family which contain a rational point	2013	Daniel Loughran
+	Equivariant compactifications of two-dimensional algebraic groups	2012	Ulrich Derenthal Daniel Loughran
+	Rational points of bounded height and the Weil restriction	2012	Daniel Loughran
+ PDF Chat	Manin's conjecture for a singular quartic del Pezzo surface	2012	Daniel Loughran
+	Rational points of bounded height and the Weil restriction	2012	Daniel Loughran
+ PDF Chat	Singular del Pezzo surfaces that are equivariant compactifications	2010	Ulrich Derenthal Daniel Loughran
+ PDF Chat	Manin’s conjecture for a singular sextic del Pezzo surface	2010	Daniel Loughran
+	Manin's Conjecture for a Singular Sextic del Pezzo Surface	2010	Daniel Loughran
+	Singular del Pezzo surfaces that are equivariant compactifications	2009	Ulrich Derenthal Daniel Loughran

Common Coauthors

Coauthor	Papers Together
Ariyan Javanpeykar	11
Christopher Frei	8
Efthymios Sofos	6
Rachel Newton	6
T. D. Browning	6
Arne Smeets	5
Ulrich Derenthal	4
Masahiro Nakahara	4
Jörg Jahnel	4
Sho Tanimoto	3
Daniel El-Baz	3
Vladimir Mitankin	3
Ramin Takloo-Bighash	3
Andrey Trepalin	3
Damián Gvirtz	3
Subham Bhakta	2
Jean-Louis Colliot-Thélène	2
Lilian Matthiesen	2
Simon L. Rydin Myerson	2
Martin Bright	2
Alexei N. Skorobogatov	2
Cecília Salgado	2
Dylon Chow	1
Robert J. Lemke Oliver	1
Masahiro Nakahara	1
Ari Shnidman	1
Yonatan Harpaz	1
Siddharth Mathur	1
C. Frei	1
G. K. Sankaran	1
Barinder S. Banwait	1
Francesc Fité	1
Olivier Wittenberg	1
Jérémy Magnien	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Torsors and Rational Points	2001	Alexei N. Skorobogatov	13
+ PDF Chat	The number of varieties in a family which contain a rational point	2018	Daniel Loughran	12
+	Introduction to Analytic and Probabilistic Number Theory	2015	Gérald Tenenbaum	12
+	Rational Points on Varieties	2017	Bjorn Poonen	12
+ PDF Chat	Failures of weak approximation in families	2016	Martin Bright T. D. Browning Daniel Loughran	12
+	Rational points of bounded height on Fano varieties	1989	Jens Frankē Yuri I. Manin Yuri Tschinkel	11
+ PDF Chat	Fibrations with few rational points	2016	Daniel Loughran Arne Smeets	11
+	Algebraic Geometry	1977	Robin Hartshorne	10
+	Endlichkeitss�tze f�r abelsche Variet�ten �ber Zahlk�rpern	1983	Герд Фалтингс	10
+	Manin's conjecture for toric varieties	1995	Victor V. Batyrev Yuri Tschinkel	10
+ PDF Chat	IGUSA INTEGRALS AND VOLUME ASYMPTOTICS IN ANALYTIC AND ADELIC GEOMETRY	2010	Antoine Chambert-Loir Yuri Tschinkel	9
+	Lectures on the Mordell-Weil Theorem	1997	Jean-Pierre Serre	9
+	Groupe de Brauer et arithmétique des groupes algébriques linéaires sur un corps de nombres.	1981	Jean-Jacques Sansuc	9
+	Sur le nombre des points rationnels de hauteur borné des variétés algébriques	1990	Victor V. Batyrev Yu. I. Manin	9
+	Topics in Galois Theory	2011	Jean-Pierre Serre	9
+	Hauteurs et mesures de Tamagawa sur les variétés de Fano	1995	Emmanuel Peyre	9
+	Rational points on some Fano cubic bundles	1996	Victor V. Batyrev Yuri Tschinkel	8
+	A Finiteness Theorem for Del Pezzo Surfaces over Algebraic Number Fields	1985	A. J. Scholl	8
+ PDF Chat	On the distribution of points of bounded height on equivariant compactifications of vector groups	2002	Antoine Chambert-Loir Yuri Tschinkel	8
+	Descent on fibrations over the projective line	1996	Alexei N. Skorobogatov	8
+	Cohomology of Number Fields	2008	Jürgen Neukirch Alexander Schmidt Kay Wingberg	8
+ PDF Chat	Complete intersections: moduli, Torelli, and good reduction	2016	Ariyan Javanpeykar Daniel Loughran	7
+	Algebraic groups and number theory	1992	В. П. Платонов Andrei S. Rapinchuk	7
+	A positive proportion of plane cubics fail the Hasse principle	2014	Manjul Bhargava	7
+ PDF Chat	Lectures on the Mordell-Weil Theorem	1989	Jean-Pierre Serre	7
+	Number of Points of Varieties in Finite Fields	2000	Serge Lang André Weil	7
+ PDF Chat	THE PROPORTION OF FAILURES OF THE HASSE NORM PRINCIPLE	2016	T. D. Browning Rachel Newton	7
+	Uniformity of stably integral points on elliptic curves	1997	Dan Abramovich	7
+	Algebraic geometry and arithmetic curves	2003	Qing Liu	6
+	La conjecture de Weil pour les surfacesK3	1971	Pierre Deligne	6
+	The geometric sieve and the density of squarefree values of invariant polynomials	2014	Manjul Bhargava	6
+ PDF Chat	The Intermediate Jacobian of the Cubic Threefold	1972	C. Herbert Clemens Phillip Griffiths	6
+	Analytic Number Theory	2004	Henryk Iwaniec Emmanuel Kowalski	6
+ PDF Chat	Arithmetic on curves	1986	Barry Mazur	6
+ PDF Chat	Actions algébriques de groupes arithmétiques	2013	Philippe Gille Laurent Moret-Bailly	6
+ PDF Chat	Séparation et propriété de Deligne-Mumford des champs de modules d'intersections complètes lisses	2012	Olivier Benoist	6
+	On ternary quadratic forms that represent zero: II	2007	C. Hooley	6
+ PDF Chat	La $R$-équivalence sur les tores	1977	Jean-Louis Colliot-Thélène Jean-Jacques Sansuc	5
+	Forms in many variables	1962	B. J. Birch	5
+ PDF Chat	Orbifold generic semi-positivity: an application to families of canonically polarized manifolds	2015	Frédéric Campana Mihai Păun	5
+	Néron models and the arithmetic Shafarevich conjecture for certain canonically polarized surfaces	2014	Ariyan Javanpeykar	5
+	Moduli Stacks of Polarized K3 Surfaces in Mixed Characteristic	2005	Jordan Rizov	5
+	Noetherian approximation of algebraic spaces and stacks	2014	David Rydh	5
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust	5
+ PDF Chat	Random Diophantine Equations	2004	Bjorn Poonen José Felipe Voloch	5
+ PDF Chat	Arithmetic on Singular Del Pezzo Surfaces	1988	Daniel Coray M. A. Tsfasman	5
+ PDF Chat	Manin’s conjecture for quartic Del Pezzo surfaces with a conic fibration	2011	Régis de la Bretèche T. D. Browning	5
+ PDF Chat	On large Picard groups and the Hasse Principle for curves and K3 surfaces	1996	Daniel Coray Constantin Manoil	5
+ PDF Chat	Tame stacks in positive characteristic	2008	Dan Abramovich Martin Olsson Angelo Vistoli	5
+ PDF Chat	Heights in number fields	1979	Stephen H. Schanuel	5