Alexander Kasprzyk

Contact

• workRoom B07 Mathematical Sciences Building
  University Park
  Nottingham
  NG7 2RD
  UK
• work0115 9513839
• A.M.Kasprzyk@nottingham.ac.uk
• https://kasprzyk.work/

Biography

About

He is a member of the EPSRC's Strategic Advisory Team for the Mathematical Sciences.

Research Grants (Selected)

• The Combinatorics of Mirror Symmetry, EPSRC Fellowship, 2016-2022.

Editor-in-Chief

• Experimental Mathematics, Taylor & Francis.

Editorial Board Member

• International Journal of Data Science in the Mathematical Sciences, World Scientific.
• Experimental Results, Cambridge University Press.
• Enumerative Combinatorics and Applications, University of Haifa and Kosovar Mathematical Society.

Organisation of Conferences & Workshops (Selected)

• Online Machine Learning Seminar, Sep 2021-present.
• Online Algebraic Geometry Seminar, Apr 2020-present.
• UK Algebraic Geometry Network inaugural conference, University of Nottingham 14-15 Sep 2023.
• DANGER 3: Data, Numbers, and Geometry, London Institute of Mathematics, 24-25 Aug 2023.
• Computational Algebraic Geometry Workshop, University of Warwick, 27-31 Mar 2023.
• Computational Geometry, University of Nottingham, 29 Aug-2 Sep 2022.
• DANGER 2: Data, Numbers, and Geometry, online, 25-26 Aug 2022.
• DANGER: Data, Numbers, and Geometry, online, 25-26 Aug 2021.
• Sanya Workshop on Machine Learning in Geometry and Physics, Tsinghua Sanya International Mathematics Forum, Shanghai, China, 26-28 Jan 2021.
• ICMS 2020: Databases in Mathematics, Braunschweig, Germany, 13-16 Jul 2020.
• Lucia Geometrica: a Celebration of Geometry, Stockholm University, Sweden, 9-13 Dec 2019.
• Lattice polytopes, with a view towards Geometry and Applications, ICMS, Edinburgh, 18-20 Sep 2019.
• Mutations: Mirror Symmetry, Deformations, and Combinatorics, Banff International Research Station, Canada, 11-16 Aug 2019.

Recent Publications

• TOM COATES, JOHANNES HOFSCHEIER and ALEXANDER KASPRZYK, 2023. Machine learning the dimension of a polytope. In: YANG-HUI HE, ed., Machine Learning in Pure Mathematics and Theoretical Physics World Scientific.
• GAVIN BROWN, JAROSŁAW BUCZYŃSKI and ALEXANDER KASPRZYK, 2023. Toric Sarkisov links of toric Fano varieties. In: IVAN CHELTSOV, XIUXIONG CHEN, LUDMIL KATZARKOV and JIHUN PARK, eds., Birational Geometry, Kähler–Einstein Metrics and Degenerations Springer.
• TOM COATES, ALEXANDER KASPRZYK and SARA VENEZIALE, 2023. Machine learning the dimension of a Fano variety Nature Communications. 14, 5526
• TOM COATES, ALEXANDER KASPRZYK and SARA VENEZIALE, 2023. Machine learning detects terminal singularities In: Neural Information Processing Systems (NeurIPS).

• View all publications

• TOM COATES, JOHANNES HOFSCHEIER and ALEXANDER KASPRZYK, 2023. Machine learning the dimension of a polytope. In: YANG-HUI HE, ed., Machine Learning in Pure Mathematics and Theoretical Physics World Scientific.
• GAVIN BROWN, JAROSŁAW BUCZYŃSKI and ALEXANDER KASPRZYK, 2023. Toric Sarkisov links of toric Fano varieties. In: IVAN CHELTSOV, XIUXIONG CHEN, LUDMIL KATZARKOV and JIHUN PARK, eds., Birational Geometry, Kähler–Einstein Metrics and Degenerations Springer.
• TOM COATES, ALEXANDER KASPRZYK and SARA VENEZIALE, 2023. Machine learning the dimension of a Fano variety Nature Communications. 14, 5526
• TOM COATES, ALEXANDER KASPRZYK and SARA VENEZIALE, 2023. Machine learning detects terminal singularities In: Neural Information Processing Systems (NeurIPS).
• GAVIN BROWN, ALEXANDER KASPRZYK and LEI ZHU, 2022. Gorenstein formats, canonical and Calabi-Yau threefolds Experimental Mathematics. 31(1), 146-164
• JIAKANG BAO, YANG-HUI HE, EDWARD HIRST, JOHANNES HOFSCHEIER, ALEXANDER KASPRZYK and SUVAJIT MAJUMDER, 2022. Hilbert series, machine learning, and applications to physics Physics Letters B. 827, 136966
• TOM COATES and ALEXANDER KASPRZYK, 2022. Databases of quantum periods for Fano manifolds Nature Scientific Data. 9, 163
• ALEXANDER KASPRZYK and VICTOR PRZYJALKOWSKI, 2022. Laurent polynomials in mirror symmetry: why and how? Proyecciones J. Math.. 41(2), 481-515
• GABRIELE BALLETTI, ALEXANDER KASPRZYK and BENJAMIN NILL, 2022. On the maximum dual volume of a canonical Fano polytope Forum of Mathematics, Sigma. 10, e109
• HAMID ABBAN, GAVIN BROWN, ALEXANDER KASPRZYK and SHIGEFUMI MORI, eds., 2022. Recent Developments in Algebraic Geometry Cambridge University Press.
• ALEXANDER KASPRZYK and BENJAMIN NILL, eds., 2022. Interactions with Lattice Polytopes Springer.
• VICTOR BATYREV, ALEXANDER KASPRZYK and KARIN SCHALLER, 2022. On the Fine interior of three-dimensional canonical Fano polytopes. In: ALEXANDER KASPRZYK and BENJAMIN NILL, eds., Interactions with Lattice Polytopes Springer. 11-47
• GAVIN BROWN, TOM COATES, ALESSIO CORTI, TOM DUCAT, LIANA HEUBERGER and ALEXANDER KASPRZYK, 2022. Computation and data in the classification of Fano varieties. In: YANG-HUI HE, MO-LIN GE, CHENG-MING BAI, JIAKANG BAO and EDWARD HIRST, eds., Nankai Symposium on Mathematical Dialogues Springer.
• TOM COATES, ALEXANDER KASPRZYK, GIUSEPPE PITTON and KETIL TVEITEN, 2021. Maximally mutable Laurent polynomials Proceedings of the Royal Society Series A. 477, 20210584
• TOM COATES, SERGEY GALKIN, ALEXANDER KASPRZYK and ANDREW STRANGEWAY, 2020. Quantum periods for certain four-dimensional Fano manifolds Experimental Mathematics. 29(2), 183-221
• GABOR HEGEDUS, AKIHIRO HIGASHITANI and ALEXANDER KASPRZYK, 2019. Ehrhart polynomial roots of reflexive polytopes Electronic Journal of Combinatorics. 26(1), P1.38
• TOM COATES, ELANA KALASHNIKOV and ALEXANDER KASPRZYK, 2019. Appendix to "Four dimensional Fano quiver flag zero loci" Proceedings of the Royal Society Series A. 475, 20180791
• TOM COATES, ALEXANDER KASPRZYK and THOMAS PRINCE, 2019. Laurent inversion Pure and Applied Mathematics Quarterly. 15(4), 1135-1179
• GAVIN BROWN, ALEXANDER KASPRZYK and MUHAMMAD IMRAN QURESHI, 2018. Fano 3-folds in P2 x P2 format, Tom and Jerry European Journal of Mathematics. 4(1), 51-72
• ALEXANDER KASPRZYK, BENJAMIN NILL and THOMAS PRINCE, 2017. Minimality and mutation-equivalence of polygons Forum of Mathematics, Sigma. 5, e18
• GAVIN BROWN and ALEXANDER M. KASPRZYK, 2016. Four-dimensional projective orbifold hypersurfaces Experimental Mathematics. 25(2), 176-193
• MOHAMMAD AKHTAR, TOM COATES, ALESSIO CORTI, LIANA HEUBERGER, ALEXANDER M. KASPRZYK, ALESSANDRO ONETO, ANDREA PETRACCI, THOMAS PRINCE and KETIL TVEITEN, 2016. Mirror symmetry and the classification of orbifold del Pezzo surfaces Proceedings of the American Mathematical Society. 144, 513-527
• TOM COATES, ALESSIO CORTI, SERGEY GALKIN and ALEXANDER M. KASPRZYK, 2016. Quantum Periods for 3-dimensional Fano Manifolds Geometry & Topology. 20(1), 103-256
• MOHAMMAD AKHTAR and ALEXANDER M. KASPRZYK, 2016. Mutations of fake weighted projective planes Proceedings of the Edinburgh Mathematical Society. 59(2), 271-285
• TOM COATES, ALEXANDER M. KASPRZYK and THOMAS PRINCE, 2015. Four-dimensional Fano toric complete intersections Proc. Roy. Soc. London Ser. A. 471, 20140704
• TOM COATES, SAMUEL GONSHAW, ALEXANDER M. KASPRZYK and NAVID NABIJOU, 2014. Mutations of fake weighted projective spaces Electron. J. Combin.. 21(4), P4.14
• BROWN, GAVIN and KASPRZYK, ALEXANDER M., 2013. Small polygons and toric codes J. Symbolic Comput.. 51, 55--62
• TOM COATES, ALESSIO CORTI, SERGEY GALKIN, VASILY GOLYSHEV and ALEXANDER M. KASPRZYK, 2013. Mirror Symmetry and Fano Manifolds In: European Congress of Mathematics Kraków, 2-7 July, 2012. 285-300
• BROWN, GAVIN and KASPRZYK, ALEXANDER M., 2013. Seven new champion linear codes LMS J. Comput. Math.. 16, 109-117
• HEGEDÜS, GÁBOR and KASPRZYK, ALEXANDER M., 2012. The boundary volume of a lattice polytope Bull. Aust. Math. Soc.. 85, 84-104
• ALEXANDER M. KASPRZYK and BENJAMIN NILL, 2012. Reflexive polytopes of higher index and the number 12 Electron. J. Combin.. 19(3), P9
• ALEXANDER M. KASPRZYK and BENJAMIN NILL, 2012. Fano polytopes. In: ANTON REBHAN, LUDMIL KATZARKOV, JOHANNA KNAPP, RADOSLAV RASHKOV and EMANUEL SCHEIDEGGER, eds., Strings, Gauge Fields, and the Geometry Behind - the Legacy of Maximilian Kreuzer World Scientific. 349-364
• MOHAMMAD AKHTAR, TOM COATES, SERGEY GALKIN and ALEXANDER M. KASPRZYK, 2012. Minkowski polynomials and mutations SIGMA Symmetry Integrability Geom. Methods Appl.. 8, 094, pp. 707
• HEGEDÜS, GÁBOR and KASPRZYK, ALEXANDER M., 2011. Roots of Ehrhart polynomials of smooth Fano polytopes Discrete Comput. Geom.. 46(3), 488-499
• ALEXANDER M. KASPRZYK, 2010. Canonical toric Fano threefolds Canad. J. Math.. 62(6), 1293-1309
• ALEXANDER M. KASPRZYK, MAXIMILIAN KREUZER and BENJAMIN NILL, 2010. On the combinatorial classification of toric log del Pezzo surfaces LMS J. Comput. Math.. 13, 33-46
• ALEXANDER M. KASPRZYK, 2009. Bounds on fake weighted projective space Kodai Math. J.. 32(2), 197-208
• MATTHEW FISET and ALEXANDER M. KASPRZYK, 2008. A note on palindromic $delta$-vectors for certain rational polytopes Electron. J. Combin.. 15(1), N18
• ALEXANDER M. KASPRZYK, 2006. Toric Fano three-folds with terminal singularities Tohoku Math. J.. 58(1), 101-121
• BROWN, GAVIN and KASPRZYK, ALEXANDER M., The Graded Ring Database