Staff profile

• Diophantine equations, Badly approximable sets

Doctoral Thesis

• Diophantine approximation: the twisted, weighted and mixed theories
  Harrap, S. (in press). Diophantine approximation: the twisted, weighted and mixed theories. (Thesis). University of York. https://durham-repository.worktribe.com/output/1617978

Journal Article

• Schmidt games and Cantor winning sets
  
  Badziahin, D., Harrap, S., Nesharim, E., & Simmons, D. (2025). Schmidt games and Cantor winning sets. Ergodic Theory and Dynamical Systems, 45(1), 71-110. https://doi.org/10.1017/etds.2024.23
• A problem in non-linear Diophantine approximation
  Harrap, S., Hussain, M., & Kristensen, S. (2018). A problem in non-linear Diophantine approximation. Nonlinearity, 31(5), 1734-1756. https://doi.org/10.1088/1361-6544/aaa498
• Cantor-winning sets and their applications
  Badziahin, D., & Harrap, S. (2017). Cantor-winning sets and their applications. Advances in Mathematics, 318, 627-677. https://doi.org/10.1016/j.aim.2017.07.027
• An Inhomogeneous Jarník type theorem for planar curves
  
  Badziahin, D., Harrap, S., & Hussain, M. (2017). An Inhomogeneous Jarník type theorem for planar curves. Mathematical Proceedings of the Cambridge Philosophical Society, 163(1), 47-70. https://doi.org/10.1017/s0305004116000712
• A note on weighted badly approximable linear forms
  
  Harrap, S., & Moshchevitin, N. (2017). A note on weighted badly approximable linear forms. Glasgow Mathematical Journal, 59(2), 349-357. https://doi.org/10.1017/s0017089516000203
• A note on badly approximabe sets in projective space
  
  Harrap, S., & Hussain, M. (2017). A note on badly approximabe sets in projective space. Mathematische Zeitschrift, 285(1), 239-250. https://doi.org/10.1007/s00209-016-1705-y
• On a mixed Khintchine problem in Diophantine approximation
  
  Harrap, S., & Yusupova, T. (2013). On a mixed Khintchine problem in Diophantine approximation. Moscow Journal of Combinatorics and Number Theory, 3(3-4), 75-97.
• The mixed Littlewood conjecture for pseudo-absolute values
  
  Harrap, S., & Haynes, A. (2013). The mixed Littlewood conjecture for pseudo-absolute values. Mathematische Annalen, 357(3). https://doi.org/10.1007/s00208-013-0928-z
• Twisted inhomogeneous Diophantine approximation and badly approximable sets
  Harrap, S. (2012). Twisted inhomogeneous Diophantine approximation and badly approximable sets. Acta Arithmetica, 151(1), https://doi.org/10.4064/aa151-1-5
• On shrinking targets for ℤm actions on tori
  Bugeaud, Y., Harrap, S., Kristensen, S., & Velani, S. (2010). On shrinking targets for ℤm actions on tori. Mathematika, 56(02), https://doi.org/10.1112/s0025579310001130