Counting graphic sequences via integrated random walks
      
        Balister, P
        Donderwinkel, S
        Groenland, C
        Johnston, T
        Scott, A
        Transactions of the American Mathematical Society
        volume 378
            issue 7
            4627-2669
            (03 Apr 2025)
        
Short Stories: Rational Approximation
      
        Trefethen, L
        Notices of the American Mathematical Society
        volume 72
            issue 01
            1
            (01 Jan 2025)
        
Happy New Year. And as it's a new year, as usual we have lots of student lectures which you can watch for free. We have already started with Andy Wathen introducing Complex Numbers to our first years and Alain Goriely, complete with 3D print out (picture) explaining the geometry and eavesdropping potential of Conics to the same group.
On the regularity problems of Einstein equations
      
        Wang, Q
        Comptes Rendus Mécanique
        volume 353
                151-175
            (20 Jan 2025)
        
The structure and density of k $k$ ‐product‐free sets in the free semigroup and group
      
        Illingworth, F
        Michel, L
        Scott, A
        Journal of the London Mathematical Society
        volume 111
            issue 1
                (14 Dec 2024)
        
Nonlinear soft mode action for the large-$p$ SYK model
      
        Bucca, M
        Mezei, M
        
                    (19 Dec 2024)
            http://arxiv.org/abs/2412.14799v1
    
On Ruzsa’s discrete Brunn-Minkowski conjecture
      
        van Hintum, P
        Keevash, P
        Tiba, M
        Proceedings of the American Mathematical Society
                    (12 Dec 2024)
        
On the Length of Directed Paths in Digraphs
      
        Cheng, Y
        Keevash, P
        SIAM Journal on Discrete Mathematics
        volume 38
            issue 4
            3134-3139
            (31 Dec 2024)
        
Dimensionality Reduction Techniques for Global Bayesian Optimisation
      
        Long, L
        Cartis, C
        Shustin, P
        
                    (12 Dec 2024)
        
Multiscale modelling shows how cell-ECM interactions impact ECM fibre alignment and cell detachment
      
        Arellano-Tintó, J
        Stepanova, D
        Byrne, H
        Maini, P
        Alarcón, T