Alexander Kasprzyk
@amkasprzyk.bsky.social
https://kasprzyk.work
Algebraic Geometry • Combinatorics • Mirror Symmetry • Machine Learning
Editor-in-Chief for “Experimental Mathematics”.
Member of EPSRC’s Math Strategic Advisory Team.
Mathematician at the University of Warwick.
Algebraic Geometry • Combinatorics • Mirror Symmetry • Machine Learning
Editor-in-Chief for “Experimental Mathematics”.
Member of EPSRC’s Math Strategic Advisory Team.
Mathematician at the University of Warwick.
For further details see Felipe Espreafico's arXiv preprint.
arxiv.org/abs/2205.08302
arxiv.org/abs/2205.08302
Gauss-Manin connection in disguise: Open Gromov-Witten invariants
In mirror symmetry, after the work by J. Walcher, the number of holomorphic disks with boundary on the real quintic lagrangian in a general quintic threefold is related to the periods of the mirror…
arxiv.org
January 23, 2026 at 5:50 PM
For further details see Felipe Espreafico's arXiv preprint.
arxiv.org/abs/2205.08302
arxiv.org/abs/2205.08302
For further details see the arXiv preprint by Pieter Belmans, Sergey Galkin, and Swarnava Mukhopadhyay.
arxiv.org/abs/2009.05568
arxiv.org/abs/2009.05568
Decompositions of moduli spaces of vector bundles and graph potentials
We propose a conjectural semiorthogonal decomposition for the derived category of the moduli space of stable rank 2 bundles with fixed determinant of odd degree, independently formulated by…
arxiv.org
January 21, 2026 at 9:25 AM
For further details see the arXiv preprint by Pieter Belmans, Sergey Galkin, and Swarnava Mukhopadhyay.
arxiv.org/abs/2009.05568
arxiv.org/abs/2009.05568
Alas I haven’t done anything Barbara (the papers have always included the names of coauthors). Teaching has prevented me getting around to editing the queued posts. But I will once I get a chance.
January 16, 2026 at 6:24 PM
Alas I haven’t done anything Barbara (the papers have always included the names of coauthors). Teaching has prevented me getting around to editing the queued posts. But I will once I get a chance.
The article discussed by Pierrick Bousseau - joint with Hülya Argüz - was published in Crelles Journal.
www.degruyterbrill.com/document/doi...
www.degruyterbrill.com/document/doi...
Fock–Goncharov dual cluster varieties and Gross–Siebert mirrors
Cluster varieties come in pairs: for any 𝒳 {\mathcal{X}} cluster variety there is an associated Fock–Goncharov dual 𝒜 {\mathcal{A}} cluster variety. On the other hand, in the context of mirror…
www.degruyterbrill.com
January 16, 2026 at 5:50 PM
The article discussed by Pierrick Bousseau - joint with Hülya Argüz - was published in Crelles Journal.
www.degruyterbrill.com/document/doi...
www.degruyterbrill.com/document/doi...
Good idea. When they’re mentioned in the abstract, like in this example, I’ll do that. Thanks.
January 14, 2026 at 12:13 PM
Good idea. When they’re mentioned in the abstract, like in this example, I’ll do that. Thanks.
For more details see the arXiv preprint by Maria Chiara Brambilla, Olivia Dumitrescu, Elisa Postinghel, and Luis José Santana Sánchez.
arxiv.org/abs/2410.18008
arxiv.org/abs/2410.18008
Birational geometry of blowups via Weyl chamber decompositions and actions on curves
We study the birational geometry of $X^n_s$, the blow-up of $\mathbb{P}^n_\mathbb{C}$ at $s$ points in general position. We identify a set of subvarieties, which we call Weyl $r$-planes, that belong…
arxiv.org
January 9, 2026 at 5:50 PM
For more details see the arXiv preprint by Maria Chiara Brambilla, Olivia Dumitrescu, Elisa Postinghel, and Luis José Santana Sánchez.
arxiv.org/abs/2410.18008
arxiv.org/abs/2410.18008
Fei Xie's paper, "Residual categories of quadric surface bundles", was published in Crelles Journal.
www.degruyterbrill.com/document/doi...
www.degruyterbrill.com/document/doi...
Residual categories of quadric surface bundles
We show that the residual categories of quadric surface bundles are equivalent to the (twisted) derived categories of some scheme under the following hypotheses. • Case 1: The quadric surface bundle…
www.degruyterbrill.com
January 7, 2026 at 5:44 PM
Fei Xie's paper, "Residual categories of quadric surface bundles", was published in Crelles Journal.
www.degruyterbrill.com/document/doi...
www.degruyterbrill.com/document/doi...
For more details see Kiumars Kaveh's paper - joint with Christopher Manon - "Toric principal bundles, piecewise linear maps and Tits buildings", published in Mathematische Zeitschrift.
link.springer.com/article/10.1...
link.springer.com/article/10.1...
Toric principal bundles, piecewise linear maps and Tits buildings
We define the notion of a piecewise linear map from a fan $$\Sigma $$ Σ to $$\tilde{\mathfrak {B}}(G)$$ B ~ ( G ) , the cone over the Tits building of a linear algebraic group G. Let $$X_\Sigma $$ X…
link.springer.com
January 5, 2026 at 9:27 AM
For more details see Kiumars Kaveh's paper - joint with Christopher Manon - "Toric principal bundles, piecewise linear maps and Tits buildings", published in Mathematische Zeitschrift.
link.springer.com/article/10.1...
link.springer.com/article/10.1...