Homepage of Oscar Marmon
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.
Publications and preprints
- 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).
Duke Math. J.. 168 (2019), 2727-2799. doi:10.1215/00127094-2019-0025
Conferences organized
Address:
Centre for Mathematical Sciences
Box 118
221 00 Lund, Sweden
Email: oscar.marmon"@"math.lu.se