I am a postdoc at Lund University, funded by a scholarship from the Knut and Alice Wallenberg foundation. My research interest is number theory, more specifically studying the density of solutions to Diophantine equations using methods from algebraic geometry and analytic number theory.

- The density of integral points on complete
intersections (with an appendix by Per Salberger)

Q. J. Math.**59**(2008), 29-53. doi:10.1093/qmath/ham022 - The density of integral points on hypersurfaces
of degree at least four.
.

Acta Arith**141**(2010), 211-240. doi:10.4064/aa141-3-1 - A generalization of the Bombieri-Pila determinant
method.

In Proceedings of the HIM trimester on Diophantine equations, Journal of Mathematical Sciences 171 (2010), 736-744. doi:10.1007/s10958-010-0178-5 - Sums and differences of four
*k*-th powers.

Monatsh. Math., 164 (2011), 55-74. doi:10.1007/s00605-010-0248-2 - The density of twins of
*k*-free numbers (with R. Dietmann).

*Bull. London Math. Soc.***46**(2014), 818-826. doi:10.1112/blms/bdu038 - Random Thue and Fermat equations (with R.
Dietmann).

*Acta Arith.***167**(2015), 189-200. doi:10.4064/aa167-2-6 - Diophantine equations in moderately many
variables.

*Michigan Math. J.***65**(2016), 547-566. doi:10.1307/mmj/1472066147 - On the Hasse principle for quartic hypersurfaces
(with P. Vishe).

To appear in*Duke Math. J.*. pdf

- Where Geometry meets Number Theory, Gothenburg, July 17-19, 2017
**N**^{3}-Days IX, Lund, November 30-December 1, 2018- Öresund
Number Theory Day, Lund, January 28, 2020

Box 118

221 00 Lund, Sweden

Email: oscar.marmon"@"math.lu.se