If you want to master something, teach it. The more you teach, the better you learn. Teaching is a powerful tool to learning.

—Richard Feynman

This is the official webpage for the UCL Undergraduate Mathematics Colloquium.

You can find our past events here.

Looking for some light reading? Check out: The Naked Lecturer.

Interested in giving a talk? Email us!

UPCOMING TALK

Wednesday, 20 Mar 2024, 4-6pm (Poster)

Title: Abstract Continued Fraction in Enumerative Combinatorics
Speaker: Veronica Bitonti
Location: Gordon Street (25) Maths 500
Abstract:
Dealing with patterns and how they can be formed is one of the main objects of studies in enumerative combinatorics, and an essential tool to understand such properties is through the majestic method, used already by Euler in 1746, to represent ordinary generating functions as a continued fraction. In particular, in 1980, Flajolet analysed in great detail the connection between Stieltjes-type and Jacobi-type continued fractions and generating functions for Dyck and Motzkin Paths with height-dependent weights. Further developments in this direction has expanded such knowledge to Thron-type continued fractions (T-fractions) which can be interpreted in terms of Schröder Paths. Recently such ideas were extended by Pétréolle, Shu, Sokal in 2018 to what they call “branched continued fractions”. In this presentation, the aim is to introduce the main concepts of the subject by looking at some classes of labelled increasing trees.