Alexander M Kasprzyk


  1. Computation and data in the classification of Fano varieties, with Gavin Brown, Tom Coates, Alessio Corti, Tom Ducat, and Liana Heuberger.
  2. Kawamata boundedness for Fano threefolds and the Graded Ring Database, with Gavin Brown.[arXiv]
  3. Laurent polynomials in mirror symmetry: why and how?, with Victor Przyjalkowski.[arXiv]
  4. Databases of quantum periods for Fano manifolds, with Tom Coates.[arXiv]
  5. Polytopes and machine learning, with Jiakang Bao, Yang-Hui He, Edward Hirst, Johannes Hofscheier, and Suvajit Majumder.[arXiv]
  6. Sharp bounds on fake weighted projective spaces with canonical singularities, with Gennadiy Averkov, Martin Lehmann, and Benjamin Nill.[arXiv]
  7. Hilbert series, machine learning, and applications to physics, with Jiakang Bao, Yang-Hui He, Edward Hirst, Johannes Hofscheier, and Suvajit Majumder. [arXiv]
  8. On the Fine interior of three-dimensional canonical Fano polytopes, with Victor Batyrev and Karin Schaller. [arXiv]
  9. Projecting Fanos in the mirror, with Ludmil Katzarkov, Victor Przyjalkowski, and Dmitrijs Sakovics. [arXiv]
  10. Quasi-period collapse for duals to Fano polygons: an explanation arising from algebraic geometry, with Ben Wormleighton. [arXiv]
  11. Equivalence classes for smooth Fano polytopes, with Akihiro Higashitani.
  12. Three-dimensional lattice polytopes with two interior lattice points, with Gabriele Balletti. [arXiv]
  13. On the maximum dual volume of a canonical Fano polytope, with Gabriele Balletti and Benjamin Nill. [arXiv]
  14. Singularity content, with Mohammad Akhtar. [arXiv]
  15. Classifying terminal weighted projective space. [arXiv]
  16. Normal forms of convex lattice polytopes, with Roland Grinis. [arXiv]
  17. Maximally mutable Laurent polynomials (appendix 2.3MB), with Tom Coates, Giuseppe Pitton, and Ketil Tveiten.[MR/doi/arXiv]
    Proceedings of the Royal Society Series A, 477: 20210584 (2021).
  18. Quantum periods for certain four-dimensional Fano manifolds, with Tom Coates, Sergey Galkin, and Andrew Strangeway. [MR/doi/arXiv]
    Experimental Mathematics 29 (2020), no. 2, 183-221.
  19. Laurent inversion, with Tom Coates and Thomas Prince. [MR/doi/arXiv]
    Pure and Applied Mathematics Quarterly, 15 (2019), no. 4, 1135-1179.
  20. Appendix to Four dimensional Fano quiver flag zero loci, by Elana Kalashnikov. Appendix joint with Tom Coates and Elana Kalashnikov. [MR/doi/arXiv]
    Proceedings of the Royal Society Series A, 475:20180791 (2019).
  21. Gorenstein formats, canonical and Calabi-Yau threefolds, with Gavin Brown and Lei Zhu. [doi/arXiv]
    Experimental Mathematics (2019).
  22. Ehrhart polynomial roots of reflexive polytopes, with Gábor Hegedüs and Akihiro Higashitani. [MR/doi/arXiv]
    Electronic Journal of Combinatorics, 26 (2019), no. 1, P1.38.
  23. Fano 3-folds in P2 x P2 format, Tom and Jerry, with Gavin Brown and Muhammad Imran Qureshi. [MR/doi/arXiv]
    European Journal of Mathematics, 4 (2018), no. 1, 51-72.
  24. Minimality and mutation-equivalence of polygons, with Benjamin Nill and Thomas Prince. [MR/doi/arXiv]
    Forum of Mathematics, Sigma, 5 (2017), e18.
  25. Mutations of fake weighted projective planes, with Mohammad Akhtar [MR/doi/arXiv]
    Proceedings of the Edinburgh Mathematical Society, 59 (2016), no. 2, 271-285.
  26. Quantum periods for 3-dimensional Fano manifolds, with Tom Coates, Alessio Corti, and Sergey Galkin. [MR/doi/arXiv]
    Geometry & Topology, 20-1 (2016), 103-256.
  27. Mirror symmetry and the classification of orbifold del Pezzo surfaces, with Mohammad Akhtar, Tom Coates, Alessio Corti, Liana Heuberger, Alessandro Oneto, Andrea Petracci, Thomas Prince, and Ketil Tveiten. [MR/doi/arXiv]
    Proceedings of the American Mathematical Society, 144 (2016), 513-527.
  28. Four-dimensional projective orbifold hypersurfaces, with Gavin Brown. [MR/doi/arXiv]
    Experimental Mathematics, 25 (2016), no. 2, 176-193.
  29. Four-dimensional Fano toric complete intersections, with Tom Coates and Thomas Prince [MR/doi/arXiv]
    Proceedings of the Royal Society Series A, 471:20140704 (2015).
  30. Mutations of fake weighted projective spaces, with Tom Coates, Samuel Gonshaw, and Navid Nabijou [MR/doi/arXiv]
    Electronic Journal of Combinatorics, 21 (2014), no. 4, P4.14.
  31. Seven new champion linear codes, with Gavin Brown [MR/doi/arXiv]
    LMS Journal of Computation and Mathematics, 16 (2013), 109-117.
  32. Mirror symmetry and Fano manifolds, with Tom Coates, Alessio Corti, Sergey Galkin, and Vasily Golyshev [MR/doi/arXiv]
    In "Proceedings of the 6th European Congress of Mathematics", European Mathematical Society, 2013, pp. 285-300.
  33. Small polygons and toric codes, with Gavin Brown [MR/doi/arXiv]
    Journal of Symbolic Computation, 51 (2013), 55-62.
  34. Minkowski polynomials and mutations (appendices 6.5MB), with Mohammad Akhtar, Tom Coates, and Sergey Galkin [MR/doi/arXiv]
    SIGMA, 8 (2012), 094, pp. 707.
  35. Fano polytopes, with Benjamin Nill [MR/doi]
    In "Strings, Gauge Fields, and the Geometry Behind - the Legacy of Maximilian Kreuzer", A. Rebhan, L. Katzarkov, J. Knapp, R. Rashkov, E. Scheidegger (eds.), World Scientific, 2012, pp. 349-364.
  36. Reflexive polytopes of higher index and the number 12, with Benjamin Nill [MR/doi/arXiv]
    Electronic Journal of Combinatorics, 19 (2012), no. 3, P9.
  37. Computational birational geometry of minimal rational surfaces, with Gavin Brown and Daniel Ryder. [arXiv]
  38. The boundary volume of a lattice polytope, with Gábor Hegedüs [MR/doi/arXiv]
    Bulletin of the Australian Mathematical Society, 85 (2012), 84-104.
  39. Roots of Ehrhart polynomials of smooth Fano polytopes, with Gábor Hegedüs [MR/doi/arXiv]
    Discrete and Computational Geometry, 46 (2011), no. 3, 488-499.
  40. Canonical toric Fano threefolds [MR/doi/arXiv]
    Canadian Journal of Mathematics, 62 (2010), no. 6, 1293-1309.
  41. On the combinatorial classification of toric log del Pezzo surfaces, with Maximilian Kreuzer and Benjamin Nill [MR/doi/arXiv]
    LMS Journal of Computation and Mathematics, 13 (2010), 33-46.
  42. Bounds on fake weighted projective space [MR/doi/arXiv]
    Kodai Mathematical Journal, 32 (2009), 197-208.
  43. A note on palindromic δ-vectors for certain rational polytopes, with Matt Fiset [MR/doi/arXiv]
    Electronic Journal of Combinatorics, 15 (2008), N18.
  44. Toric Fano threefolds with terminal singularities [MR/doi/arXiv]
    Tohoku Mathematical Journal, 58 (2006), no. 1, 101-121.
  45. Toric Fano varieties and convex polytopes [MR/link]
    PhD Thesis, 2006, University of Bath. My supervisor was Professor G K Sankaran.

Electronic resources

Data and databases

Organisation of seminars, conferences, and workshop

A list of seminars, conferences, and workshops that I have organised can be found here.

In the press