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Speaking with Style - Final Presentations 2021

Programme

This year's presentations of our first year PhD students take place online in parallel sessions on Teams.
We use the Colloquium team, meetings for the sessions are set up in the Speaking with Style channel.
Links to these individual sessions are provided below.

Session 1

Meeting Link (Teams).

3:05 Elvira Lupoian Algebraic approximations of pi and the LLL algorithm
3:15 Robin Visser How to prove Fermat's sums of two squares theorem in one sentence
3:25 Muhammad Manji There are infinitely many primes p ≡ 5 mod 8
3:35 Diana Mocanu Elliptic Curves in Cryptography
Session 2

Meeting Link (Teams).

3:05 Barnabas Szabo Euler's theorem on perfect numbers
3:15 Yiping Zhang Within-host modelling of immunisation
3:25 Ben Moore Ramanujan's divisor sum convolution identities
3:35 Nuno Arala Santos The AM-GM inequality
Session 3

Meeting Link (Teams).

3:05 Vanthana Ganeshalingam Representation Theory: Maschke’s Theorem
3:15 David Fernandez Caballero Circling around zeros: the Poincaré-Hopf theorem
3:25 Xenia Dimitrakopoulou Wilson's theorem
3:35 Jacques Bara Eigenvector Centrality and Lou Reed
Session 4

Meeting Link (Teams).

3:05 David Tintinago Pinzon An Introduction to Algebraic K-theory
3:15 Marco La Vecchia The Sylvester–Gallai theorem, revisited
3:25 Julie Rasmusen Why higher category theory?
3:35 Paul Pantea Bundles of joy: Möbius bands, doughnuts, and high-dimensional spheres
Session 5

Meeting Link (Teams).

3:05 Milos Tasic Non-compactness of the unit ball
3:15 Georgios Athanasopoulos Brownian Motion: A variant of Einstein's approach and its mathematical justification
3:25 Andreas Koller Boltzmann distributions are everywhere: what Gibbs?
3:35 Sotiris Kotitsas The Law of Large Numbers and the Monte Carlo Integration
Session 6

Meeting Link (Teams).

3:05 James Everitt Transitivity of Anosov Flows on Abelian Covers
3:15 Alexander Baumgartner Schottky Groups and Pairs of Pants
3:25 Daofei Zhang Prime Orbit Theorem
3:35 Andreas Mountakis The Banach-Tarski Paradox
3:45 William O’Regan Covering the Sierpinski Triangle with Tubes