I am a post-doc at TU Graz, working in number theory.

From April to September 2016, I was a professor at Ludwig-Maximilians-Universität München.

Journal articles:

All of my papers are also available on the arXiv.

  1. Rational points of bounded height on general conic bundle surfaces, with D. Loughran and E. Sofos, submitted, 2016
    (preprint, arXiv)
  2. Generalised divisor sums of binary forms over number fields, with E. Sofos, submitted, 2016
    (preprint, arXiv)
  3. The Hasse norm principle for abelian extensions, with D. Loughran and R. Newton, Amer. J. Math, to appear
    (preprint, arXiv)
  4. Forms of differing degrees over number fields, with M. Madritsch, Mathematika 63 (1): 92-123, 2017
    (preprint, arXiv, DOI:10.1112/S0025579316000206)
  5. Counting rational points on smooth cubic surfaces, with E. Sofos, Math. Res. Lett. 23 (1): 127-143, 2016
    (preprint, arXiv, DOI:10.4310/MRL.2016.v23.n1.a7)
  6. O-minimality on twisted universal torsors and Manin's conjecture over number fields, with M. Pieropan, Ann. Sci. Éc. Norm. Supér. 49 (4):757-811, 2016
    (preprint, arXiv)
  7. On Manin's conjecture for a certain singular cubic surface over imaginary quadratic fields, with U. Derenthal, Int. Math. Res. Not. IMRN 2015 (10): 2728-2750, 2015
    (preprint, arXiv, DOI:10.1093/imrn/rnu016)
  8. On sums of S-integers of bounded norm, with R. F. Tichy and V. Ziegler, Monatsh. Math. 175 (2): 241-247, 2014
    (preprint, arXiv, DOI:10.1007/s00605-013-0574-2)
  9. Counting imaginary quadratic points via universal torsors, II, with U. Derenthal, Math. Proc. Camb. Philos. Soc. 156 (3): 383-407, 2014
    (preprint, arXiv, DOI:10.1017/S0305004113000728)
  10. Counting imaginary quadratic points via universal torsors, with U. Derenthal, Compositio Math. 150 (10): 1631-1678, 2014
    (preprint, arXiv, DOI:10.1112/S0010437X13007902)
  11. Schanuel's theorem for heights defined via extension fields, with M. Widmer, Ann. Sc. Norm. Super. Pisa Cl. Sci., Vol. XV (2016), 355-398, 2016
    (preprint, arXiv, DOI:10.2422/2036-2145.201401_009)
  12. Counting rational points over number fields on a singular cubic surface, Algebra Number Theory 7 (6): 1451-1479, 2013
    (preprint, arXiv, DOI:10.2140/ant.2013.7.1451)
  13. Additive unit representations in rings over global fields - A survey, with F. Barroero and R. F. Tichy, Publ. Math. Debrecen 79 (3-4): 291-307, 2011
    (preprint, arXiv)
  14. On rings of integers generated by their units, Bull. London Math. Soc. 44, 167-182, 2012
    (preprint, arXiv, DOI:10.1112/blms/bdr089)
  15. Sums of units in function fields II - The extension problem, Acta Arith. 149 (4): 361-369, 2011
    (preprint, arXiv, DOI:10.4064/aa149-4-5)
  16. Sums of units in function fields, Monatsh. Math. 164 (1): 39-54, 2011
    (preprint, arXiv, DOI:10.1007/s00605-010-0219-7)
  17. Non-unique factorization of polynomials over residue class rings of the integers, with S. Frisch, Comm. Algebra, 39 (4): 1482-1490, 2011
    (preprint, arXiv, DOI:10.1080/00927872.2010.549158)

Conference proceedings:

  1. Some applications of o-minimality in quantitative arithmetic geometry, Mathematisches Forschungsinstitut Oberwolfach, Report No. 22/2017
  2. Divisor sums and rational points on conic bundle surfaces, Mathematisches Forschungsinstitut Oberwolfach, Report No. 53/2016

Lehre (teaching):

Siehe TUGraz online.