## 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** - 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).

- V. Patel. Perfect powers that are sums of consecutive like powers. PhD thesis, University of Warwick (2017).
- V. Patel. Irrationality of some p-Adic Integers. MMath Dissertation, University of Warwick (2012).

### Teaching

- 2017 Fall: MAT223 - Instructor for Linear Algebra.
- 2018 Winter: TBC

### 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