Biography

Dr Sanjida Islam is a lecturer of Mathematics at Northeastern University London. She joined the University in August 2023. Sanjida was educated at the University of Kent.

Research

Sanjida’s PhD thesis is titled ‘Special Polynomials associated with rational solutions of Painlevé equations’. A special polynomial refers to polynomials that have a particular use in mathematical physics or other branches of mathematics.

The Painlevé equations are second order non-linear differential equations that have a plethora of interesting mathematical properties. The equations arise in a variety of applications such as plasma physics, linear waves, and quantum gravity.

The generalised Okamoto polynomials are special polynomials associated with rational solutions of the fourth Painlevé equation. Sanjida’s research focuses on properties of the generalised Okamoto polynomials and polynomials that she introduced in her PhD thesis, called the 4-Okamoto polynomials. Sanjida’s thesis can be found via the following link.

Sanjida has presented her findings at several research seminars and conferences, such as the Young Researchers in Mathematics conference. During her PhD, Sanjida was a postgraduate research seminar organiser in the mathematics department at the University of Kent.