Alexander M Kasprzyk


  1. Polytopes and machine learning, with Jiakang Bao, Yang-Hui He, Edward Hirst, Johannes Hofscheier, and Suvajit Majumder.[arXiv]
  2. Sharp bounds on fake weighted projective spaces with canonical singularities, with Gennadiy Averkov, Martin Lehmann, and Benjamin Nill.[arXiv]
  3. Hilbert series, machine learning, and applications to physics, with Jiakang Bao, Yang-Hui He, Edward Hirst, Johannes Hofscheier, and Suvajit Majumder. [arXiv]
  4. On the Fine interior of three-dimensional canonical Fano polytopes, with Victor Batyrev and Karin Schaller. [arXiv]
  5. Projecting Fanos in the mirror, with Ludmil Katzarkov, Victor Przyjalkowski, and Dmitrijs Sakovics. [arXiv]
  6. Quasi-period collapse for duals to Fano polygons: an explanation arising from algebraic geometry, with Ben Wormleighton. [arXiv]
  7. Equivalence classes for smooth Fano polytopes, with Akihiro Higashitani.
  8. Three-dimensional lattice polytopes with two interior lattice points, with Gabriele Balletti. [arXiv]
  9. On the maximum dual volume of a canonical Fano polytope, with Gabriele Balletti and Benjamin Nill. [arXiv]
  10. Singularity content, with Mohammad Akhtar. [arXiv]
  11. Classifying terminal weighted projective space. [arXiv]
  12. Normal forms of convex lattice polytopes, with Roland Grinis. [arXiv]
  13. Maximally mutable Laurent polynomials (appendix 2.3MB), with Tom Coates, Giuseppe Pitton, and Ketil Tveiten.[arXiv]
    To appear in Proceedings of the Royal Society Series A.
  14. 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.
  15. Laurent inversion, with Tom Coates and Thomas Prince. [MR/doi/arXiv]
    Pure and Applied Mathematics Quarterly, 15 (2019), no. 4, 1135-1179.
  16. 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).
  17. Gorenstein formats, canonical and Calabi-Yau threefolds, with Gavin Brown and Lei Zhu. [doi/arXiv]
    Experimental Mathematics (2019).
  18. 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.
  19. 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.
  20. Minimality and mutation-equivalence of polygons, with Benjamin Nill and Thomas Prince. [MR/doi/arXiv]
    Forum of Mathematics, Sigma, 5 (2017), e18.
  21. Mutations of fake weighted projective planes, with Mohammad Akhtar [MR/doi/arXiv]
    Proceedings of the Edinburgh Mathematical Society, 59 (2016), no. 2, 271-285.
  22. 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.
  23. 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.
  24. Four-dimensional projective orbifold hypersurfaces, with Gavin Brown. [MR/doi/arXiv]
    Experimental Mathematics, 25 (2016), no. 2, 176-193.
  25. 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).
  26. 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.
  27. Seven new champion linear codes, with Gavin Brown [MR/doi/arXiv]
    LMS Journal of Computation and Mathematics, 16 (2013), 109-117.
  28. 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.
  29. Small polygons and toric codes, with Gavin Brown [MR/doi/arXiv]
    Journal of Symbolic Computation, 51 (2013), 55-62.
  30. Minkowski polynomials and mutations (appendices 6.5MB), with Mohammad Akhtar, Tom Coates, and Sergey Galkin [MR/doi/arXiv]
    SIGMA, 8 (2012), 094, pp. 707.
  31. 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.
  32. Reflexive polytopes of higher index and the number 12, with Benjamin Nill [MR/doi/arXiv]
    Electronic Journal of Combinatorics, 19 (2012), no. 3, P9.
  33. Computational birational geometry of minimal rational surfaces, with Gavin Brown and Daniel Ryder. [arXiv]
  34. The boundary volume of a lattice polytope, with Gábor Hegedüs [MR/doi/arXiv]
    Bulletin of the Australian Mathematical Society, 85 (2012), 84-104.
  35. Roots of Ehrhart polynomials of smooth Fano polytopes, with Gábor Hegedüs [MR/doi/arXiv]
    Discrete and Computational Geometry, 46 (2011), no. 3, 488-499.
  36. Canonical toric Fano threefolds [MR/doi/arXiv]
    Canadian Journal of Mathematics, 62 (2010), no. 6, 1293-1309.
  37. 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.
  38. Bounds on fake weighted projective space [MR/doi/arXiv]
    Kodai Mathematical Journal, 32 (2009), 197-208.
  39. A note on palindromic δ-vectors for certain rational polytopes, with Matt Fiset [MR/doi/arXiv]
    Electronic Journal of Combinatorics, 15 (2008), N18.
  40. Toric Fano threefolds with terminal singularities [MR/doi/arXiv]
    Tohoku Mathematical Journal, 58 (2006), no. 1, 101-121.
  41. 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