The 'Oxford Women and Non Binary People in Mathematics Day 2025: Pathways to Progress' is taking part this Saturday 1st March from 10 - 4:30 in the Mathematical Institute. Registration is still available here and is open to everyone, regardless of their gender identity. Note that you don't need to attend for the whole day.
A Computational Mathematics Student Summer Placement is available at the Rutherford Appleton Laboratory.
The Mathematical Research Software Engineering Group sits within the Computational Mathematics Theme of the Scientific Computing Department. As a summer placement student in our Group, you will be embedded in the team and will become familiar with our software, the mathematics behind it, and the problems it is designed to solve.
The Oxford Maths Festival is returning for 2025!
A reminder that prelims corner is taking place every Monday at 11am in the South Mezzanine! Feel free to stop by and ask Mario any questions you may have relating to your study, problem sheets or student life in general. Drinks and snacks provided!
Fridays@2 continues in L1 this week with: Why study the history of mathematics? (https://www.maths.ox.ac.uk/node/70564)
Mon, 28 Apr 2025
14:15
14:15
L5
Complex Dynamics — degenerations and irreducibility problems
Rohini Ramadas
(University of Warwick)
Abstract
Complex dynamics is the study of the behaviour, under iteration, of complex polynomials and rational functions. This talk is about an application of combinatorial algebraic geometry to complex dynamics. The n-th Gleason polynomial G_n is a polynomial in one variable with Z-coefficients, whose roots correspond to degree-2 polynomials with an n-periodic critical point. Per_n is a (nodal) Riemann surface parametrizing degree-2 rational functions with an n-periodic critical point. Two long-standing open questions are: (1) Is G_n is irreducible over Q? (2) Is Per_n connected? I will sketch an argument showing that if G_n is irreducible over Q, then Per_n is connected. In order to do this, we find a special degeneration of degree-2 rational maps that tells us that Per_n has smooth point with Q-coordinates "at infinity”.
Global Existence and Nonlinear Stability of Finite-Energy Solutions of
the Compressible Euler-Riesz Equations with Large Initial Data of Spherical
Symmetry
Carrillo, J
Charles, S
Chen, G
Yuan, D
(18 Feb 2025)
http://arxiv.org/abs/2502.13094v1
the Compressible Euler-Riesz Equations with Large Initial Data of Spherical
Symmetry
Optimal control in combination therapy for heterogeneous cell
populations with drug synergies
Martina-Perez, S
Johnson, S
Crossley, R
Kasemeier, J
Kulesa, P
Baker, R
(17 Feb 2025)
http://arxiv.org/abs/2502.12079v1
populations with drug synergies
The MPLS Divisional Teaching Award Scheme celebrates success, and recognises innovation and/or leadership in teaching. Awards are available to all those who teach, including graduate students, postdoctoral researchers and learning support staff.
Nominations open on 1st March and may be made by academics, staff and students. You can nominate yourself or another person.