Luciano Rila

@drtrapezio.bsky.social

622 Followers 169 Following

Admissions tutor at UCL Maths. LGBTQ+ in STEM. He/Him.

Topological surfaces with holes by Maryam Mirzakhani
Head and shoulder picture of a male gay couple on top of the sugar loaf mountain in Rio de Janeiro with a breathtaking view of Copacabana beach and hills.
Prove that, if c >= a and d >= b, then ab + cd >= bc + ad. If x >= y, use the previous result to show that x^2 + y^2 >= 2xy. If further, x >= z and y>= z, use the first result to show that z^2 + xy >= xz + yz and deduce that x^2 + y^2 + z^2 >= xy + yz + zx. Prove that this result holds for all x, y and z.
Given that f(0)=1 and f(x-y) = f(x)f(y) - f(a-x)f(a+y), show that f(a) = 0, f(t) = f(-t), f(2a) = -1, f(2a - t) = - f(t) and f(4a+t) = f(t).
Static trapeze practice starting with me upside down with my legs wrapped on either rope and hands on either rope. One hand lets go of the rope and holds the bar under my head. Then I unwrap one leg and pose!
Leaves covered in ice with blue skies on the background.
The book cover of The Marble Faun of Grey Gardens by Jerry Torre and Tony Maietta.
A video of a capybara grazing grass.
Extract from lecture notes: square root of -1, we lied (aka complex numbers, aka mental tortures. In the 16th century in Italy, Girolano Cardano proposed a method for solving cubic equations that involved the square root of expressions which were potentially negative. Mathematicians shuddered. The horror of the square root of negative numbers took over the scientific world. Cardano himself called it mental tortures. The complex numbers were born.
Me doing some moves on a static trapeze.
The front of the lecture theatre viewed from the seats with LGBTQIA+ STEM Day (November 18) on the screen, rainbow lights on the wall and queer flags around the lectern.
The cover of a book of short stories entitled I’m a Fool to Want You by Camila Sosa Villada
The cover of a book entitled Random Fatigue: From Data to Theory