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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.

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
Journal article
2024
Supergroups, q-Series and 3-Manifolds
Annales Henri Poincare (2024)
Francesca Ferrari | Putrov, Pavel
Preprint
2024
Quantum $K$-invariants via Quot schemes II
Shubham Sinha | Ming Zhang

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All publications
Book
2023
Numerical Invariants of Quot Schemes of Curves
Sinha, Shubham
Journal article
2023
The size of t-cores and hook lengths of random cells in random partitions
The Annals of Applied Probability (2023)
Arvind Ayyer | Shubham Sinha
Journal article
2023
Euler characteristics of tautological bundles over Quot schemes of curves
Advances in Mathematics (2023)
Dragos Oprea | Shubham Sinha
Preprint
2022
Bergman-Einstein metrics on two-dimensional Stein spaces
Soumya Ganguly | Shubham Sinha
Preprint
2022
Cores of partitions in rectangles
Arvind Ayyer | Shubham Sinha
Preprint
2022
Bergman-Einstein metrics on two-dimensional Stein spaces
Soumya Ganguly | Shubham Sinha
Journal article
2022
Pluripotential Monge-Ampère flows in big cohomology classes
Journal of Functional Analysis (2022)
Quang-Tuan Dang
Preprint
2022
Pluripotential Chern-Ricci Flows
Indiana University Mathematics Journal (2022)
Quang-Tuan Dang
Preprint
2022
Bergman-Einstein metrics on two-dimensional Stein spaces
Soumya Ganguly | Shubham Sinha
Preprint
2022
Euler characteristics of tautological bundles over Quot schemes of curves
Dragos Oprea | Shubham Sinha
Journal article
2022
Virtual Segre and Verlinde numbers of projective surfaces
Journal of the London Mathematical Society (2022)
Göttsche, L. | Kool, M.
Journal article
2022
Quadratic Duality for Chiral Algebras
arXiv preprint arXiv:2212.11252 (2022)
Gui, Zhengping | Li, Si | Zeng, Keyou
Journal article
2022
Numerically flat holomorphic bundles over non-Kähler manifolds
Journal für die reine und angewandte Mathematik (Crelles Journal) (2022)
Chao Li | Yanci Nie | Xi Zhang
Journal article
2022
Gaussians never extremize Strichartz inequalities for hyperbolic paraboloids
Proceedings of the American Mathematical Society (2022)
Emanuel Carneiro | Lucas Oliveira | Mateus Sousa
Journal article
2022
Generalized sign Fourier uncertainty
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (2022)
Emanuel Carneiro | Oscar E. Quesada-Herrera
Journal article
2022
Optimality for the two-parameter quadratic sieve
Acta Arithmetica (2022)
Emanuel Carneiro | Andrés Chirre | Harald Andrés Helfgott | Julián Mejía-Cordero
Journal article
2022
Hilbert spaces and low-lying zeros of L-functions
Advances in Mathematics (2022)
Emanuel Carneiro | Andrés Chirre | Micah B. Milinovich
Journal article
2022
Sunrise strategy for the continuity of maximal operators
Journal d'Analyse Mathématique (2022)
Emanuel Carneiro | Cristian González-Riquelme | José Madrid
Journal article
2022
On Montgomery’s pair correlation conjecture: A tale of three integrals
Journal für die reine und angewandte Mathematik (Crelles Journal) (2022)
Emanuel Carneiro | Vorrapan Chandee | Carlos Andrés Chirre Chávez | Micah B. Milinovich
Journal article
2022
Localization in the Discrete Non-linear Schrödinger Equation and Geometric Properties of the Microcanonical Surface
Journal of Statistical Physics (2022)
Claudio Arezzo | Federico Balducci | Riccardo Piergallini | Antonello Scardicchio | Carlo Vanoni
Journal article
2022
SRB Measures and Young Towers for Surface Diffeomorphisms
Annales Henri Poincaré (2022)
Stefano Luzzatto
Journal article
2021
Cobordism Invariants from BPS q-Series
Annales Henri Poincare (2021)
Gukov, Sergei | Park, Sunghyuk | Pavel Putrov
Journal article
2021
4-manifolds and topological modular forms
JHEP (2021)
Gukov, Sergei | Pei, Du | Putrov, Pavel | Vafa, Cumrun
Journal article
2021
Continuity of Monge–Ampère Potentials in Big Cohomology Classes
International Mathematics Research Notices (2021)
Quang-Tuan Dang
Preprint
2021
Pluripotential Monge-Amp{\`e}re flows in Big Cohomology Classes
Quang-Tuan Dang
Preprint
2021
Continuity of Monge-Amp{\`e}re Potentials in Big Cohomology Classes
Quang-Tuan Dang
Preprint
2021
Driving chemical reactions with polariton condensates
Sindhana Pannir-Sivajothi | Jorge A. Campos-Gonzalez-Angulo | Luis A. Martínez-Martínez | Shubham Sinha | Joel Yuen-Zhou
Preprint
2021
The virtual intersection theory of isotropic Quot Schemes
Journal of Geometry and Physics (2021)
Shubham Sinha
Journal article
2021
Verlinde formulae on complex surfaces: K-theoretic invariants
Forum of Mathematics, Sigma (2021)
Göttsche, L. | Kool, M. | Williams, R.A.
Journal article
2021
Geometry of Localized Effective Theories, Exact Semi-classical Approximation and the Algebraic Index
Communications in Mathematical Physics (2021)
Zhengping Gui | Si Li | Kai Xu

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