Effective equidistribution of norm one elements in CM-fields (with Shabnam Akhtari and Jeffrey D. Vaaler), submitted. preprint
Most totally real fields do not have universal forms or the Northcott property, (with Nicolas Daans, Siu Hang Man, Vítězslav Kala, and Pavlo Yatsyna), Proc. Natl. Acad. Sci. USA 122 (2025), article e2419414122, 8 pp. preprint
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Small generators of abelian number fields, Forum Math. 37 (2025), no.2, 629–636. preprint
On Mahler's inequality and small integral generators of totally complex number fields, (with Murray Child), Acta Arith. 213 (2024), no. 2, 169–180. preprint
On the Northcott property for infinite extensions, Essent. Number Theory 2 (2023), no.1, 1–14. preprint
Northcott numbers for the house and the Weil height, (with Fabien Pazuki and Niclas Technau), Bull. Lond. Math. Soc. 54 (2022), no. 5, 1873–1897. preprint
Bertini and Northcott, (with Fabien Pazuki), Res. Number Theory 7, 12 (2021). preprint
Averages and higher moments for the ℓ-torsion in class groups, (with Christopher Frei), Math. Ann. 379 (2021), no.3-4, 1205–1229. preprint
Average bounds for the ℓ-torsion in class groups of cyclic extensions, (with Christopher Frei), Res. Number Theory (2018) 4:34. preprint
Bounds for the ℓ-torsion in class groups, Bull. 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
Counting lattice points and weak admissibility for a lattice and its dual, (with Niclas Technau), Israel J. Math., 1-19 (2020). 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
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
Weakly admissible lattices, o-minimality, and lattice point counting,Oberwolfach Reports (2017), Report No. 22/2017.
Northcott Number and Undecidability of certain Algebraic Rings, Oberwolfach Reports (2016), Report No. 49/2016.
Property (N), Decidability, and Diophantine Approximation, Oberwolfach Reports (2016), Report No. 21/2016.
Weakly admissible lattices and primitive points, Oberwolfach Reports (2016), Report No. 3/2016.
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
A generalization of Schanuel's Theorem, Oberwolfach Reports
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