Publications

Preprints

  1. The Heisenberg algebra of a vector space and Hochschild homology (with Timothy Logvinenko)
  2. Fixed point counts and motivic invariants of bow varieties of affine type A (with Richárd Rimányi)
    [ preprint ]
  3. Noncommutative projective partial resolutions and quiver varieties (with Søren Gammelgaard)
    [ preprint ]
  4. Slicing up multigraded linear series
    [ preprint ]
  5. The Heisenberg category of a category (with Clemens Koppensteiner and Timothy Logvinenko)
    [ preprint ]

Published Articles

  1. Blow-ups and the quantum spectrum of surfaces (with Szilárd Szabó)
    To appear in Advances in Mathematics [ preprint ]
  2. On a sequence of Grothendieck groups
    To appear in Homology, Homotopy and Applications [ preprint ]
  3. Euler characteristics of affine ADE Nakajima quiver varieties via collapsing fibers (with Lukas Bertsch and Balázs Szendrői)
    Journal of the London Mathematical Society 111 (2), e70074 (2025)
  4. A power structure over the Grothendieck ring of geometric dg categories
    Proceedings of the Edinburgh Mathematical Society Volume 68, pp. 300–318 (2025)
  5. Kleinian singularities: some geometry, combinatorics and representation theory (with Lukas Bertsch and Balázs Szendrői)
    Jahresbericht der Deutschen Mathematiker Vereinigung 126 (4) pp. 213–247 (2024)
  6. 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
  7. Rigid ideal sheaves and modular forms
    The Quarterly Journal of Mathematics, Volume 73 (2022), Issue 3, pp. 1035–1053
  8. 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
  9. 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
  10. Young walls and equivariant Hilbert schemes of points in type D
    Singularities and Their Interaction with Geometry and Low Dimensional Topology, Birkhäuser Basel, 2021
  11. Canonical spectral coordinates for the Calogero-Moser space associated with the cyclic quiver (with Tamás Görbe)
    Journal of Nonlinear Mathematical Physics 27(2) (2020)
  12. The transition function of G2 over S6
    Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 15 (2019), 078
  13. 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
  14. Enumeration of diagonally colored Young diagrams
    Monatshefte für Mathematik 183(1) (2017), pp. 143–157
  15. 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.
  16. Hilbert scheme of points on cyclic quotient singularities of type (p,1)
    Periodica Mathematica Hungarica Volume 73 (2016), Issue 1, pp. 93-99
  17. 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.
  18. 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.

Other Writings

  1. Hilbert schemes of points on some classes of surface singularities, PhD thesis (mathematics), 2016.
  2. Statistical methods for the investigation of scale-free networks (in Hungarian), Orsz. Tud. Diák Konf., Vol. 29, 2009