These articles are freely available on arXiv - see the links below.

Research Articles


  1. A. Banaji and I. Kolossváry. Intermediate dimensions of Bedford–McMullen carpets with applications to Lipschitz equivalence, arXiv, poster

  2. A. Banaji, A. Rutar and S. Troscheit. Interpolating with generalized Assouad dimensions, arXiv

  3. A. Banaji and J. M. Fraser. Assouad type dimensions of infinitely generated attractors, arXiv
    Submitted to Nonlinearity


  1. A. Banaji. Generalised intermediate dimensions, arXiv
    Monatshefte für Mathematik 202 (2023), 465–506.

  2. A. Banaji. Metric spaces where geodesics are never unique, arXiv
    American Mathematical Monthly 130 (2023), 747–754.

  3. A. Banaji and J. M. Fraser. Intermediate dimensions of infinitely generated attractors, arXiv
    Transactions of the American Mathematical Society 376 (2023), 2449–2479.

  4. A. Banaji and H. Chen. Dimensions of popcorn-like pyramid sets, arXiv
    Journal of Fractal Geometry 10 (2023), 151–168.

  5. A. Banaji and A. Rutar. Attainable forms of intermediate dimensions, arXiv
    Annales Fennici Mathematici 47 (2022), 939–960.

PhD Thesis

Interpolating between Hausdorff and box dimension

Master’s Dissertation

Solvability of partial differential equations on fractal domains


My co-authors to date are Jonathan Fraser (2), Alex Rutar (2), Haipeng Chen (Clarence) (1), István Kolossváry (1), Sascha Troscheit (1)