We list the irreducible reduced and not degenerate normal projective varieties $X\subset\mathbb{P}^N$ of dimension $n$ and degree five defined over an algebraically closed field $k$ of char$(k) = 0$. In the smooth case, or when $n = 2$, we give also classification results for any algebraically closed field $k$ of char$(k) \geq 0$.
The Brauer group of $\mathscr{M}_{1,1}$ over algebraically closed fields of characteristic $2$
The universal Poisson deformation of hypertoric varieties and some classification results
The images of Lie polynomials evaluated on $2\times 2$ matrices over an algebraically closed field
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