**In Journals:**

**Average bounds for the $\ell$-torsion in
class groups of cyclic extensions**,** **(with Christopher
Frei), submitted.**
**preprint

**Bounds for the $\ell$-torsion in class
groups**,** **Bull. Lond. Math. Soc. doi:10.1112/blms.12113.
preprint

**Weakly admissible lattices, primitive points****,
Diophantine approximation, and o-minimality****, to appear in
Mathematika.**** **preprint

** **

**On a Counting Theorem of Skriganov**,
(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.

**N****orthcott 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.

**In progress:**

- Integral quadratic points of bounded height,
(with R. Dietmann).
- On the number of integers that are sum of k
units, (with C. Frei and V.
Ziegler).
- Around the Northcott Property.
- Bertini's Theorem and the Northcott Property, (with Fabien Pazuki).