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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
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
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
Preprint
2025
Singularities vs non-pluripolar Monge--Amp\`{e}re masses
Quang-Tuan Dang | Hoang-Son Do | Hoang Hiep Pham
Journal article
2024
Stability of Sharp Fourier Restriction to Spheres
Journal of Fourier Analysis and Applications (2024)
Emanuel Carneiro | Giuseppe Negro | Diogo Oliveira e Silva
Journal article
2024
Fourier optimization and Montgomery’s pair correlation conjecture
Mathematics of Computation (2024)
Emanuel Carneiro | Micah Milinovich | Antonio Pedro Ramos
Preprint
2024
Quantum $K$-invariants via Quot schemes I
Shubham Sinha | Ming Zhang
Journal article
2024
Categorical symmetry of the standard model from gravitational anomaly
Phys.Rev.D (2024)
Putrov, Pavel | Juven C. Wang

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All publications
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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