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Research Output 2010 2019

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2019
2 Citations (Scopus)

Del Pezzo surfaces over finite fields and their Frobenius traces

Banwait, B., Fité, F. & Loughran, D., 1 Jul 2019, In : Mathematical Proceedings of the Cambridge Philosophical Society. 167, 1, p. 35-60 26 p.

Research output: Contribution to journalArticle

Open Access

Integral Hasse principle and strong approximation for Markoff surfaces

Loughran, D. & Mitankin, V., 8 May 2019, (Accepted/In press) In : International Mathematics Research Notices. 28 p.

Research output: Contribution to journalArticle

Open Access

Inverse Galois problem for del Pezzo surfaces over finite fields

Loughran, D. & Trepalin, A., 21 Feb 2019, (Accepted/In press) In : Mathematical Research Letters.

Research output: Contribution to journalArticle

Open Access
1 Citation (Scopus)

Rational points and non-anticanonical height functions

Frei, C. & Loughran, D., 2019, In : Proceedings of the American Mathematical Society. 147, 8, p. 3209-3223 15 p.

Research output: Contribution to journalArticle

Open Access
2018

An Erdős-Kac law for local solubility in families of varieties

Loughran, D. & Sofos, E., 8 Aug 2018, (Accepted/In press) In : Selecta Mathematica.

Research output: Contribution to journalArticle

Open Access

Good Reduction of Fano Threefolds and Sextic Surfaces

Javanpeykar, A. & Loughran, D., 27 Apr 2018, In : Annali della Scuola Normale Superiore di Pisa. 18, 2, p. 509-535 27 p.

Research output: Contribution to journalArticle

Open Access

Normes de droites sur les surfaces cubiques

Colliot-thélène, J. & Loughran, D., 14 Sep 2018, In : Pure and Applied Mathematics Quarterly. 13, 1, p. 123-130 8 p.

Research output: Contribution to journalArticle

Open Access

Pseudo-split fibres and arithmetic surjectivity

Loughran, D., Smeets, A. & Skorobogatov, A., 27 Sep 2018, (Accepted/In press) In : Annales Scientifiques de l'École Normale Supérieure .

Research output: Contribution to journalArticle

3 Citations (Scopus)

Rational points of bounded height on general conic bundle surfaces

Frei, C., Loughran, D. & Sofos, E., 1 Aug 2018, In : Proceedings of the London Mathematical Society. 117, 2, p. 407-440 34 p.

Research output: Contribution to journalArticle

Open Access

Sieving rational points on varieties

Browning, T. & Loughran, D., 18 Sep 2018, In : Transactions of the American Mathematical Society. 371, 8, p. 5757-5785 29 p.

Research output: Contribution to journalArticle

Open Access
4 Citations (Scopus)

The Hasse norm principle for abelian extensions

Frei, C., Loughran, D. & Newton, R., 31 Dec 2018, In : American Journal of Mathematics. 140, 6, p. 1639-1685 47 p.

Research output: Contribution to journalArticle

Open Access

The number of varieties in a family which contain a rational point

Loughran, D., 31 Oct 2018, In : Journal of the European Mathematical Society. 20, 10, p. 2539-2588 50 p.

Research output: Contribution to journalArticle

Open Access

Zero-loci of Brauer group elements on semi-simple algebraic groups

Loughran, D., Takloo-bighash, R. & Tanimoto, S., 29 Nov 2018, In : Journal of the Institute of Mathematics of Jussieu. p. 1-41 41 p.

Research output: Contribution to journalArticle

Open Access
2017
2 Citations (Scopus)

Complete intersections: moduli, Torelli, and good reduction

Javanpeykar, A. & Loughran, D., 1 Aug 2017, In : Mathematische Annalen. 368, 3-4, p. 1191-1225 35 p.

Research output: Contribution to journalArticle

Open Access
2016
9 Citations (Scopus)

Failures of weak approximation in families

Bright, M. J., Browning, T. D. & Loughran, D., 1 Jul 2016, In : Compositio Mathematica. 152, 7, p. 1435-1475 41 p.

Research output: Contribution to journalArticle

Open Access
2 Citations (Scopus)

Fibrations with few rational points

Loughran, D. & Smeets, A., 1 Oct 2016, In : Geometric and Functional Analysis. 26, 5, p. 1449-1482 34 p.

Research output: Contribution to journalArticle

Open Access

The Hasse principle for lines on diagonal surfaces

Jahnel, J. & Loughran, D., 1 Jan 2016, In : Mathematical Proceedings of the Cambridge Philosophical Society. 160, 1, p. 107-119 13 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

The moduli of smooth hypersurfaces with level structure

Javanpeykar, A. & Loughran, D., 19 Dec 2016, In : Manuscripta Mathematica. 154, 1-2, p. 13-22 9 p.

Research output: Contribution to journalArticle

Open Access
4 Citations (Scopus)

Varieties with too many rational points

Browning, T. D. & Loughran, D., 7 Oct 2016, In : Mathematische Zeitschrift. 285, 3-4, p. 1249-1267 19 p.

Research output: Contribution to journalArticle

Open Access
2015
4 Citations (Scopus)

Equivariant Compactifications of Two-Dimensional Algebraic Groups

Derenthal, U. & Loughran, D., 1 Feb 2015, In : Proceedings of the Edinburgh Mathematical Society. 58, 1, p. 149-168 20 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

Good reduction of algebraic groups and flag varieties

Javanpeykar, A. & Loughran, D., 1 Feb 2015, In : Archiv der Mathematik. 104, 2, p. 133-143 11 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

Rational points of bounded height and the Weil restriction

Loughran, D., 1 Sep 2015, In : Israel Journal of Mathematics. 210, 1, p. 47-79 33 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

The Hasse Principle for Lines on del Pezzo Surfaces

Jahnel, J. & Loughran, D., 27 Mar 2015, In : International Mathematics Research Notices. 2015, 23, p. 12877–12919 33 p.

Research output: Contribution to journalArticle

2012
3 Citations (Scopus)

Manin's conjecture for a singular quartic del Pezzo surface

Loughran, D., 14 Jun 2012, In : Journal of the London Mathematical Society. 86, 2, p. 558-584

Research output: Contribution to journalArticle

2010
9 Citations (Scopus)

Manin’s conjecture for a singular sextic del Pezzo surface

Loughran, D., 1 Jan 2010, In : Journal de Théorie des Nombres de Bordeaux. 22, 3, p. 675-701

Research output: Contribution to journalArticle

4 Citations (Scopus)

Singular del Pezzo surfaces that are equivariant compactifications

Derenthal, U. & Loughran, D., 1 Dec 2010, In : Journal of Mathematical Sciences. 171, 6, p. 714-724

Research output: Contribution to journalArticle