I received a master's degree after studying at the University of Pisa and I attended my PhD at the University of Parma, Italy. My menthors are S.Spagnolo, C.Viola and A.Zaccagnini. I worked for a few in Analytic Number Theory, but always had the spot for real analysis, special functions, (analytic) combinatorics and Euclidean geometry.

I am the webmaster of www.matemate.it, which is proud of hosting these notes about elementary Mathematics and dirty tricks. Here it is my (?)best of on MSE:

• A short proof of Stirling's inequality through creative telescoping
• A Ramanujan sum
• The Russian integral
• Fibonacci number that ends with 2014 zeroes
• Fibonacci infinite sum resulting in $\pi$
• An analogue of Hensel lifting for Fibonacci numbers
• An interesting identity involving odd powers of $\pi$
• The sum of $\frac{1}{n\sinh(\pi n\sqrt{3})}$ on odd numbers
• How to prove that $\sum_{k\geq 1}\frac{\zeta(2k)}{2^{2k-1}}=1$
• How to distinguish walking on a sphere or on a torus
• Is $\sum_{n\geq 1}\frac{\left|\sin n\right|^n}{n}$ convergent? (YES it is)
• Sum of squares of harmonic numbers
• A closed form for $\phantom{}_4 F_3\left(1,1,1,\frac{3}{2};\frac{5}{2},\frac{5}{2},\frac{5}{2};1\right)$
• On the largest root of the Hermite polynomial $H_n$
• Fourier transform of squared Gaussian Hermite polynomial
• General formula for the 1;5;19;65;211 sequence
• A NASTY integral of a rational function
• Integral $\int_{0}^{+\infty}\frac{\text{arccot}(\sqrt{x}-2\sqrt{x+1})}{x+1}dx$
• Integral $\int_{0}^{\pi}\arctan^2\left(\frac{\sin x}{2+\cos x}\right)dx$
• Different methods to compute $\zeta(2)=\sum_{k\geq 1}\frac{1}{k^2}$ (aka Basel problem)
• On the increasing nature of $x^{x^{x^\ldots}}$ on $\left[1,e^{1/e}\right]$
• A closed form for $\sum_{k\geq 0}\frac{(-1)^{k+1}}{k!}\Gamma^2\left(\frac{k}{2}\right)$ (aka the Taylor series of the squared arcsine)