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Scientists in ICTP's Mathematics section publish their research in some of the world's most prestigious journals; for the latest publications, see below.

Journal article
2026
On the action of non-invertible symmetries on local operators in 3+1d
JHEP (2026)
Putrov, Pavel | Radhakrishnan, Rajath
Journal article
2026
Quantum K‐invariants via Quot schemes II
Journal of the London Mathematical Society (2026)
Shubham Sinha | Ming Zhang
Journal article
2026
Quantum K-invariants via Quot schemes I
Journal de Mathématiques Pures et Appliquées (2026)
Shubham Sinha | Ming Zhang
Journal article
2026
Bergman–Einstein Metrics on Two-Dimensional Stein Spaces
Michigan Mathematical Journal (2026)
Soumya Ganguly | Shubham Sinha
Journal article
2026
Sharp Endpoint Extension Inequalities for the Moment Curve on Finite Fields
International Mathematics Research Notices (2026)
Chandan Biswas | Emanuel Carneiro | Taryn C Flock | Diogo Oliveira e Silva | Betsy Stovall | James Tautges
Journal article
2026
Non-anomalous non-invertible symmetries in 1+1D from gapped boundaries of SymTFTs
JHEP (2026)
Putrov, Pavel | Radhakrishnan, Rajath
Journal article
2025
Rigorous computation of expansion in one-dimensional dynamics
Chaos: An Interdisciplinary Journal of Nonlinear Science (2025)
Paweł Pilarczyk | Michał Palczewski | Stefano Luzzatto
Preprint
2025
Intersection Theory of Hyperquot Schemes on curves
Riccardo Ontani | Shubham Sinha | Weihong Xu
Preprint
2025
A Borel--Weil--Bott theorem for Quot schemes on $\mathbb{P}^1$
Ajay Gautam | Feiyang Lin | Shubham Sinha
Preprint
2025
A short way of counting maps to hypersurfaces in Grassmannians
Alina Marian | Shubham Sinha
Journal article
2025
Kähler–Einstein metrics on quasi-projective manifolds
Mathematische Annalen (2025)
Quang-Tuan Dang | Duc-Viet Vu
Preprint
2025
Modulus of continuity of Monge--Amp\`ere potentials in big cohomology classes
Quang-Tuan Dang | Hoang-Son Do | Hoang Hiep Pham

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All publications
Journal article
1999
Theta functions and Hodge numbers of moduli spaces of sheaves on rational surfaces
Communications in Mathematical Physics (1999)
Göttsche, L.
Journal article
1999
Euler number of the compactified Jacobian and multiplicity of rational curves
Journal of Algebraic Geometry (1999)
Fantechi, B. | Göttsche, L. | Van Straten, D.
Journal article
1999
On minimal surfaces incompressible in homology and abelian varieties
Journal of the London Mathematical Society (1999)
Arezzo, C.
Journal article
1999
On the Torelli theorem for minimal immersions
International Journal of Mathematics (1999)
Arezzo, C.
Journal article
1999
On the existence of periodic minimal surface
Journal of Algebraic Geometry (1999)
Arezzo, C. | Pirola, G.P.
Journal article
1998
A conjectural generating function for numbers of curves on surfaces
Communications in Mathematical Physics (1998)
Götische, L.
Journal article
1998
Jacobi forms and the structure of Donaldson invariants for 4-manifolds with b<sub>+</sub> = 1
Selecta Mathematica, New Series (1998)
Götische, L. | Zagier, D.
Journal article
1998
The quantum cohomology of blow-ups of ℙ<sup>2</sup> and enumerative geometry
Journal of Differential Geometry (1998)
Göttsche, L. | Pandharipande, R.
Journal article
1998
Wall-crossing formulas, the Bott residue formula and the Donaldson invariants of rational surfaces
Quarterly Journal of Mathematics (1998)
Ellingsrud, G. | Göttsche, L.
Journal article
1998
Stable complete minimal surfaces in hyperkähler manifolds
Compositio Mathematica (1998)
Arezzo, C.
Journal article
1996
Change of polarization and Hodge numbers of moduli spaces of torsion free sheaves on surfaces
Mathematische Zeitschrift (1996)
Göttsche, L.
Journal article
1996
Hodge numbers of moduli spaces of stable bundles on K3 surfaces
International Journal of Mathematics (1996)
Göttsche, L. | Huybrechts, D.
Journal article
1996
Modular forms and Donaldson invariants for 4-manifolds with b<sub>+</sub> = 1
Journal of the American Mathematical Society (1996)
Göttsche, L.
Journal article
1996
Rationality of moduli spaces of torsion free sheaves over rational surfaces
Manuscripta Mathematica (1996)
Göttsche, L.
Journal article
1995
Variation of moduli spaces and Donaldson invariants under change of polarization
Journal fur die Reine und Angewandte Mathematik (1995)
Ellingsrud, G. | Gottsche, L.
Journal article
1993
The cohomology ring of the Hilbert scheme of 3 points on a smooth projective variety
Journal fur die Reine und Angewandte Mathematik (1993)
Fantechi, B. | Göttsche, L.
Journal article
1993
Perverse sheaves and the cohomology of Hilbert schemes of smooth algebraic surfaces
Mathematische Annalen (1993)
Göttsche, L. | Soergel, W.
Journal article
1990
Betti numbers for the hilbert function strata of the punctual hilbert scheme in two variables
Manuscripta Mathematica (1990)
Göttsche, L.
Journal article
1990
The Betti numbers of the Hilbert scheme of points on a smooth projective surface
Mathematische Annalen (1990)
Göttsche, L.
Journal article
1990
d-very-ample line bundles and embeddings of hilbert schemes of 0-cycles
Manuscripta Mathematica (1990)
Catanese, F. | Gœttsche, L.
Journal article
Resurgence in complex Chern-Simons theory
Gukov, Sergei | Marino, Marcos | Putrov, Pavel
Journal article
Duality Defects
Gadde, Abhijit | Gukov, Sergei | Putrov, Pavel
Journal article
Multi-instantons in large N Matrix Quantum Mechanics
Marino, Marcos | Putrov, Pavel
Journal article
On categorification of Stokes coefficients in Chern-Simons theory
Gukov, Sergei | Putrov, Pavel
Journal article
On finite group global and gauged $q$-form symmetries in TQFT
Furlan, Manuel | Putrov, Pavel
Journal article
Path integral in energy representation in quantum mechanics
Putrov, Pavel
Journal article
$\mathbb{Q}/\mathbb{Z}$ symmetry
Putrov, Pavel

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