Research

Publications and Preprints

  1. A diameter bound for finite simple groups of large rank (with Yilong Yang)

Journal of the London Mathematical Society (Journal | ArXiv)


  1. On a Cheeger type inequality in Cayley graphs of finite groups

European Journal of Combinatorics (Journal | ArXiv)


  1. On minimal complements in groups (with Jyoti Prakash Saha)

The Ramanujan Journal (Journal | ArXiv)


  1. Minimal additive complements in finitely generated abelian groups (with Jyoti Prakash Saha)

The Ramanujan Journal (Journal | ArXiv)


  1. Asymptotic complements in the integers (with Jyoti Prakash Saha)

Journal of Number Theory (Journal | ArXiv)


  1. On additive co-minimal pairs (with Jyoti Prakash Saha)

Journal of Number Theory (Journal | ArXiv)


  1. Infinite co-minimal pairs in the integers and integral lattices (with Jyoti Prakash Saha)

Combinatorial and Additive Number Theory, IV (Journal | ArXiv)


  1. A Cheeger type inequality in finite Cayley sum graphs (with Jyoti Prakash Saha)

Algebraic Combinatorics (ALCO) (Journal | ArXiv)


  1. Infinite co-minimal pairs involving lacunary sequences and generalisations to higher dimensions (with Jyoti Prakash Saha)

The Ramanujan Journal (to appear) (Journal | ArXiv)


  1. Large girth graphs with bounded diameter-by-girth ratio (with Goulnara Arzhantseva)

ArXiv


  1. On semilinear sets and asymptotically approximate groups (with Wolfgang Alexander Moens)

ArXiv


  1. Flexibility and movability in Cayley graphs

ArXiv


  1. Approximate subloops and Freiman's theorem in finitely generated commutative moufang loops

ArXiv


  1. On non-minimal complements (with Jyoti Prakash Saha)

ArXiv


  1. Asymptotic behaviour of minimal complements (with Jyoti Prakash Saha)

ArXiv


  1. Spectrum of twists of Cayley and Cayley sum graphs (with Jyoti Prakash Saha)

ArXiv


  1. On non-surjective word maps on PSL2(Fq) (with Jyoti Prakash Saha)

ArXiv


  1. Expansion in Cayley graphs, Cayley sum graphs and their twists (with Jyoti Prakash Saha)

ArXiv


  1. A spectral bound for vertex-transitive graphs (with Jyoti Prakash Saha)

ArXiv