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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
2021
4-manifolds and topological modular forms
JHEP (2021)
Gukov, Sergei | Pei, Du | Putrov, Pavel | Vafa, Cumrun
Journal article
2021
Cobordism Invariants from BPS q-Series
Annales Henri Poincare (2021)
Gukov, Sergei | Park, Sunghyuk | Putrov, Pavel
Preprint
2021
Continuity of Monge-Amp{\`e}re Potentials in Big Cohomology Classes
Quang-Tuan Dang
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
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
Elliptic Trace Map on Chiral Algebras
arXiv preprint arXiv:2112.14572 (2021)
Gui, Zhengping | Li, Si
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
Journal article
2021
Some interior regularity estimates for solutions of complex Monge–Ampère equations on a ball
Calculus of Variations and Partial Differential Equations (2021)
Chao Li | Jiayu Li | Xi Zhang
Journal article
2021
A note on the generalization of the Kodaira embedding theorem
Science China Mathematics (2021)
Chao Li | Xi Zhang | Qizhi Zhao
Journal article
2021
Hilbert transforms and the equidistribution of zeros of polynomials
Journal of Functional Analysis (2021)
Emanuel Carneiro | Mithun Kumar Das | Alexandra Florea | Angel V. Kumchev | Amita Malik | Micah B. Milinovich | Caroline Turnage-Butterbaugh | Jiuya Wang
Journal article
2021
Gradient bounds for radial maximal functions
Annales Fennici Mathematici (2021)
Emanuel Carneiro | Cristian González-Riquelme
Journal article
2021
Extremizers for adjoint Fourier restriction on hyperboloids: the higher dimensional case
Indiana University Mathematics Journal (2021)
Emanuel Carneiro | Diogo Oliveira e Silva | Mateus Sousa | Betsy Stovall
Journal article
2021
Adaptive path interpolation method for sparse systems: Application to a censored block model
IEEE Transactions on Information Theory (2021)
Barbier, J. | Chan, C.L. | Macris, N.
Journal article
2020
Fermionic Finite-Group Gauge Theories and Interacting Symmetric/Crystalline Orders via Cobordisms
Commun.Math.Phys. (2020)
Guo, Meng | Ohmori, Kantaro | Putrov, Pavel | Wan, Zheyan | Wang, Juven
Journal article
2020
Trialities of minimally supersymmetric 2d gauge theories
JHEP (2020)
Gukov, Sergei | Pei, Du | Putrov, Pavel
Journal article
2020
Roadmap on Wilson loops in 3d Chern–Simons-matter theories
J.Phys.A (2020)
Drukker, Nadav | Trancanelli, Diego | Bianchi, Lorenzo | Bianchi, Marco S. | Correa, Diego H. | Forini, Valentina | Griguolo, Luca | Leoni, Matias | Levkovich-Maslyuk, Fedor | Nagaoka, Gabriel | Penati, Silvia | Preti, Michelangelo ...
Journal article
2020
BPS spectra and 3-manifold invariants
J.Knot Theor.Ramifications (2020)
Gukov, Sergei | Pei, Du | Putrov, Pavel | Vafa, Cumrun
Journal article
2020
Exact solutions of (0,2) Landau-Ginzburg models
JHEP (2020)
Gadde, Abhijit | Putrov, Pavel
Journal article
2020
Random $t$-cores and hook lengths in random partitions
Sém. Lothar. Combin. (2020)
Ayyer, Arvind | Sinha, Shubham
Journal article
2020
Refined Verlinde formulas for Hilbert schemes of points and moduli spaces of sheaves on K3 surfaces,Formules de Verlinde raffinées pour les schémas de Hilbert de points et espaces de modules sur les surfaces K3
Epijournal de Geometrie Algebrique (2020)
Göttsche, L.
Journal article
2020
Verlinde-type formulas for rational surfaces
Journal of the European Mathematical Society (2020)
Göttsche, L.
Journal article
2020
Virtual Refinements of the Vafa–Witten Formula
Communications in Mathematical Physics (2020)
Göttsche, L. | Kool, M.
Book chapter
2020
Big and Nef Classes, Futaki Invariant and Resolutions of Cubic Threefolds
Progress in Mathematics (2020)
Arezzo, C. | Vedova, A.D.
Journal article
2020
A Mean Value Formula and a Liouville Theorem for the Complex Monge–Ampère Equation
International Mathematics Research Notices (2020)
Chao Li | Jiayu Li | Xi Zhang
Preprint
2020
Duality and Mock Modularity
SciPost Phys. (2020)
Atish Dabholkar | Pavel Putrov | Edward Witten
Journal article
2020
Blind calibration for compressed sensing: State evolution and an online algorithm
Journal of Physics A: Mathematical and Theoretical (2020)
Gabrié, M. | Barbier, J. | Krzakala, F. | Zdeborová, L.
Journal article
2020
Mutual information for low-rank even-order symmetric tensor estimation
Information and Inference: A Journal of the IMA (2020)
Jean Barbier

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