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.

During my PhD, I had the opportunity to spend some time researching at the Max Planck Institute for Mathematics in Bonn.

Personal

Hometown: Leamington Spa, 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

  • A. Koutsianas, V. Patel. Perfect powers that are sums of squares in a three term arithmetic progression, (on arXiv).
  • A. Argáez-García, V. Patel. On perfect powers that are sums of cubes of a three term arithmetic progression, (on arXiv).


  • V. Patel. Perfect powers that are sums of consecutive squares, C. R. Math. Rep. Acad. Sci. Canada, Vol. 40 (2) (2018), 33-38. (on arXiv).
  • F. Luca, V. Patel. On perfect powers that are sums of two Fibonacci numbers, J. Number Theory, 189 (2018), 90-96, published online. (on arXiv).
  • N. Anbar, A. Odžak, V. Patel, L. Quoos, A. Somoza, A. Topuzoğlu. On the difference between permutation polynomials. Finite Fields Appl. 49 (2018), 132–142. (on arXiv).
  • N. Anbar, A. Odžak, V. Patel, L. Quoos, A. Somoza, A. Topuzoğlu. On permutation polynomials over finite fields: differences and iterations. Women in Numbers Europe II (2018). (Publisher: Manz, Springer).
  • V. Patel, S. Siksek. On powers that are sums of consecutive like powers. Res. Number Theory, 3 (2017), Art. 2, 7 pp. (on arxiv).
  • M. A. Bennett, V. Patel, S. Siksek. Perfect Powers that are sums of Consecutive Cubes. Mathematika, 63 (2017), no. 1, 230 -- 249. (on arXiv).
  • M. A. Bennett, V. Patel, S. Siksek. Superelliptic Equations Arising from Sums of Consecutive Powers. Acta Arith., 172 (2016), no. 4, 377 -- 393. (on arXiv).


Teaching

Talks / Posters

  • Perfect powers that are sums of consecutive squares, GANITA Seminar, University of Toronto, 25/01/18.
  • Perfect powers that are sums of consecutive k-th powers, 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