Preprints
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The Heisenberg algebra of a vector space (with Timothy Logvinenko)
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Kleinian singularities: some geometry, combinatorics and representation theory (with Lukas Bertsch and Balázs Szendrői)
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Fixed point counts and motivic invariants of bow varieties of affine type A (with Richárd Rimányi)
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Noncommutative projective partial resolutions and quiver varieties (with Søren Gammelgaard)
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Euler characteristics of affine ADE Nakajima quiver varieties via collapsing fibers (with Lukas Bertsch and Balázs Szendrői)
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Slicing up multigraded linear series
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Blow-ups and the quantum spectrum of surfaces (with Szilárd Szabó)
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The Heisenberg category of a category (with Clemens Koppensteiner and Timothy Logvinenko)
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Published Articles
- On a sequence of Grothendieck groups
To appear in Homology, Homotopy and Applications [ preprint ] - A power structure over the Grothendieck ring of geometric dg categories
To appear in the Proceedings of the Edinburgh Mathematical Society [ preprint ] - G-fixed Hilbert schemes on K3 surfaces, modular forms, and eta products (with Jim Bryan)
Épijournal de Géométrie Algébrique, Volume 6 (2022), Article Nr. 6 - Rigid ideal sheaves and modular forms
The Quarterly Journal of Mathematics, Volume 73 (2022), Issue 3, pp. 1035–-1053 - Quot schemes for Kleinian orbifolds (with Alastair Craw, Søren Gammelgaard and Balázs Szendrői)
Special Issue on Enumerative and Gauge-Theoretic Invariants in honor of Lothar Göttsche, Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 17 (2021), 099 - Punctual Hilbert schemes for Kleinian singularities as quiver varieties (with Alastair Craw, Søren Gammelgaard and Balázs Szendrői)
Algebraic Geometry 8 (6) (2021) pp. 680–704 - Young walls and equivariant Hilbert schemes of points in type D
Singularities and Their Interaction with Geometry and Low Dimensional Topology, Birkhäuser Basel, 2021 - Canonical spectral coordinates for the Calogero-Moser space associated with the cyclic quiver (with Tamás Görbe)
Journal of Nonlinear Mathematical Physics 27(2) (2020) - The transition function of G2 over S6
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 15 (2019), 078 - Euler characteristics of Hilbert schemes of points on simple surface singularities (with Balázs Szendrői and András Némethi)
European Journal of Mathematics 4 (2018), pp. 439-524 - Enumeration of diagonally colored Young diagrams
Monatshefte für Mathematik 183(1) (2017), pp. 143–157 - Euler characteristics of Hilbert schemes of points on surfaces with simple singularities (with Balázs Szendrői and András Némethi)
International Mathematics Research Notices 2017.13 (2017) pp. 4152–4159. - Hilbert scheme of points on cyclic quotient singularities of type (p,1)
Periodica Mathematica Hungarica Volume 73 (2016), Issue 1, pp. 93-99 - An efficient block model for clustering sparse graphs (with Janne Sinkkonen and András A. Benczúr)
MLG 2010 - 8th International Workshop on Mining and Learning with Graphs (in conjunction with KDD 2010), 2010. - A block model suitable for sparse graphs (with Juuso Parkkinen, Janne Sinkkonen and Samuel Kaski)
MLG 2009 - 7th International Workshop on Mining and Learning with Graphs, 2009. - Statistical methods for the investigation of scale-free networks (in Hungarian), Orsz. Tud. Diák Konf., Vol. 29, 2009
Other Writings
- Hilbert schemes of points on some classes of surface singularities, PhD thesis (mathematics), 2016.