Averages and higher moments for the
$\ell$-torsion in class groups, (with Christopher
Average bounds for the $\ell$-torsion in
class groups of cyclic extensions, (with Christopher
Number Theory (2018) 4:34.
Bounds for the $\ell$-torsion in class
Lond. Math. Soc., 50 (2018) 124-13. preprint
Weakly admissible lattices, primitive points, Diophantine approximation, and o-minimality, Mathematika, 64 (2), 2018, 475-496 . preprint
Skriganov's counting theorem and weak admissibility for a lattice and its dual, (with Niclas Technau), submitted. preprint
Asymptotic Diophantine approximation: The multiplicative case, Ramanujan J, (2017), Vol. 43, Issue 1, 83-93. preprint
Integral points of fixed degree and bounded height, Int. Math. Res. Notices, (2016), Vol. 2016, 3906-3943. preprint
Number fields without small generators, (with Jeffrey D. Vaaler), Math. Proc. Cam. Philos. Soc. 159 (2015), no. 3, 379-385. preprint
Schanuel's Theorem for heights defined via extension fields, (with Christopher Frei), Ann. Sc. Norm. Super. Pisa Cl. Sci., Vol. XV (2016), 355-398, 2016. preprint
Counting lattice points and o-minimal structures, (with Fabrizio Barroero), Int. Math. Res. Notices (2014), Vol. 2014, 4932-4957. preprint
On the Northcott property and other properties related to polynomial mappings, (with Sara Checcoli), Math. Proc. Cam. Philos. Soc. 155 (2013), no. 1, 1-12. preprint
Counting points of fixed degree and given height over function fields, (with Jeffrey Lin Thunder), Bull. Lond. Math. Soc. 45 (2013), no. 2, 283-300. preprint
A note on small generators of number fields, (with Jeffrey D. Vaaler), Diophantine Methods, Lattices, and Arithmetic Theory of Quadratic Forms, Contemporary Mathematics, vol. 587, Amer. Math. Soc., Providence, RI, 2013. preprint
Lipschitz class, narrow class, and counting lattice points, Proc. Amer. Math. Soc. 140 (2012), no. 2, 677-689. preprint
On certain infinite extensions of the rationals with Northcott property, Monatsh. Math. 162 (2011), no. 3, 341-353. preprint
Small generators of function fields, J. Theor. Nombres Bordeaux 22, (2010), no. 3, 544-551. preprint
On number fields with nontrivial subfields, Int. J. Number Theory 7, (2011), no. 3, 695-720. preprint
Counting points of fixed degree and bounded height on linear varieties, J. Number Theory 130 (2010), no. 8, 1763-1784. preprint
Counting points of fixed degree and bounded
height, Acta Arith.
140 (2009), no. 2, 145-168. preprint
Counting primitive points of bounded height, Trans.
Amer. Math. Soc. 362 (2010), no. 9, 4793-4829. preprint
In Conference Proceedings:
Weakly admissible lattices, o-minimality, and lattice point counting, Oberwolfach Reports (2017), preliminary_OWR_2017_18.pdf.
Northcott Number and Undecidability of certain Algebraic Rings, Oberwolfach Reports (2016), preliminary_OWR_2016_49.pdf.
Property (N), Decidability, and
Diophantine Approximation, Oberwolfach Reports (2016), preliminary_OWR_2016_21.pdf.
Weakly admissible lattices and primitive points, Oberwolfach Reports (2016), OWR_2016_03.pdf.
A generalization of Schanuel's Theorem, (with Christopher Frei), Oberwolfach Reports (2012), no. 22/2012.