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My favorite research topic is Diophantine equations.

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6 Points on hyperelliptic curves: $y^2=5(x^2-3)(x^2+2)(x^2-11/5)$ Oct 8 '19
5 Why do the $2$-Selmer ranks of $y^2 = x^3 + p^3 $ and $y^2 = x^3 - p^3 $ agree? Jan 8 '16
4 Special type Diophantine equations with integer solutions Jun 5 '15
4 Arranging numbers from $1$ to $n$ such that the sum of every two adjacent numbers is a perfect power Aug 3 '15
2 Generators of sandpile groups of wheel graphs Oct 17 '20
1 How to solve a quadratic diophantine equation Jun 5 '15
1 Integral points on a particular family of curves Aug 2 '15
1 On the Diophantine equation $x^2 = y^p + 2^{r}z^p$ where $p\geq 7$ is an odd prime and $r \geq 2$ Nov 7 '16
1 Diophantine equation that has an infinite number of positive integers solutions Jun 15 '20
1 A three variable linear diophantine promise problem Aug 23 '15
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