Vandita Patel




Welcome to my homepage! I am currently a Postdoctoral Fellow in Number Theory at the University of Toronto, working with Professor Kumar Murty.

Previously, I was a PhD student at the University of Warwick, working under the supervision of Professor Samir Siksek. Activities from my PhD studies can be located here.

Personal

Hometown: Leicester, UK.

Current town: Toronto, Canada.

Nationality: British Citizen.

Email: vandita<at>math<dot>utoronto<dot>ca

Research Interests: Number Theory, Modular Forms, Diophantine Equations, Enumerating Number Fields.

Publications and Preprints

  • V. Patel. Perfect powers that are sums of consecutive squares, (preprint).
  • F. Luca, V. Patel. On perfect powers that are sums of two Fibonacci numbers, (preprint).
  • N. Anbar, A. Ozdak, V. Patel, L. Quoos, A. Somoza, A. Topuzo─člu. On the difference of permutation polynomials, accepted in Finite Fields and their Applications (preprint).
  • N. Anbar, A. Ozdak, V. Patel, L. Quoos, A. Somoza, A. Topuzo─člu. On permutation polynomials over finite fields: differences and iterations, accepted in Proceedings of Women in Numbers Europe 2.
  • V. Patel, S. Siksek. On powers that are sums of consecutive like powers. Res. Number Theory, 3 (2017), Art. 2, 7, (preprint).
  • M. A. Bennett, V. Patel, S. Siksek. Perfect Powers that are sums of Consecutive Cubes. Mathematika, 63 (2017), no. 1, 230 -- 249, (preprint).
  • M. A. Bennett, V. Patel, S. Siksek. Superelliptic Equations Arising from Sums of Consecutive Powers. Acta Arithmetica, 172 (2016), no. 4, 377 -- 393, (preprint).
  • V. Patel. Irrationality of some p-Adic Integers. MMath Dissertation, University of Warwick, 2012.

Teaching

Talks / Posters

  • TBA, Postdoc Seminar, University of Toronto, 17/11/17.
  • Perfect powers that are sums of consecutive like powers: part 2, GANITA Seminar, University of Toronto, 28/09/17.
  • Perfect powers that are sums of consecutive like powers: part 1, GANITA Seminar, University of Toronto, 28/09/17.

Conferences

  • TBC