- I am a professor of mathematics at Bristol University and an honorary visiting professor at Royal Holloway, University of London. My interests are in algebraic combinatorics and representation theory, especially the representation theory of the symmetric groups and related algebras. I also post to my mathematical blog.
- Research
- Most recent paper: Two stability theorems on plethysms of Schur functions. Coauthor: Rowena Paget.
- Other recent papers: Weak lumping of left-invariant random walks on left cosets of finite groups. Coauthors: Edward Crane, Álvaro Gutiérrez, Erin Russell.
- A new modular plethystic SL2(F)-isomorphism SymN-1E ⊗ ⋀N+1Symd+1E ≡ Δ (2,1N-1)SymdE. Coauthor: Alvaro L. Martinez.
- FrontierMath: A benchmark for evaluating advanced mathematical reasoning in AI. Coauthors: Elliot Glazer, Ege Erdeil, Tamay Besiroglu et al.
- The partition algebra and the plethysm coefficients II: Ramified plethysm. Coauthors: Chris Bowman, Rowena Paget.
- A necessary and sufficient condition for double coset lumping of Markov chains on groups with an application to the random to top shuffle. Coauthor: John R. Britnell.
- Involutive random walks on total orders and the anti-diagonal eigenvalue property. Coauthor: John R. Britnell.
- Modular plethystic isomorphisms for two-dimensional linear groups. Coauthor: Eoghan McDowell.
- Plethysms of symmetric functions and representations of SL2(C). Coauthor: Rowena Paget.
- A lower bound for the partition function from Chebychev's inequality applied to a coin flipping model for the random partition.
- A corollary of Stanley's Hook Content Formula.
- Plethysms of symmetric functions and highest weight representations. Coauthors: Melanie de Boeck, Rowena Paget.
- Other mathematics and talks
- Teaching
- Lecture notes for a short course on symmetric functions and the symmetric group in Winter 2015.
- Lecture notes on representations of symmetric groups (revised June 2014).
- Engaging students from diverse backgrounds
- Meeting on 14th September 2021, organised by Prof. Stefanie Gerke and me, sponsored by the LMS. I posted about the meeting on my blog.
- Introduction to Lie algebras
- Surveys in combinatorics 2013
- Introduction to combinatorics
- Royal Holloway Mathematics Seminars until 2020
- Equality and diversity
- Miscellany
Email: mark.wildon@bristol.ac.uk.
Post: Prof. Mark Wildon, School of Mathematics, Fry Building, Woodland Road, Bristol BS8 1UG, UK.