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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
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
Preprint
2025
Singularities vs non-pluripolar Monge--Amp\`{e}re masses
Quang-Tuan Dang | Hoang-Son Do | Hoang Hiep Pham
Preprint
2024
Quantum $K$-invariants via Quot schemes II
Shubham Sinha | Ming Zhang

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All publications
Journal article
2020
Mutual Information and Optimality of Approximate Message-Passing in Random Linear Estimation
IEEE Transactions on Information Theory (2020)
Jean Barbier
Journal article
2020
Rigorous numerics for critical orbits in the quadratic family
Chaos: An Interdisciplinary Journal of Nonlinear Science (2020)
A. Golmakani | C. E. Koudjinan | S. Luzzatto | P. Pilarczyk
Book chapter
2019
Regularity of Maximal Operators: Recent Progress and Some Open Problems
Applied and Numerical Harmonic Analysis (2019)
Emanuel Carneiro
Journal article
2019
Exact Solutions of 2d Supersymmetric Gauge Theories
JHEP (2019)
Gadde, Abhijit | Gukov, Sergei | Putrov, Pavel
Preprint
2019
The size of $t$-cores and hook lengths of random cells in random partitions
Arvind Ayyer | Shubham Sinha
Journal article
2019
A rank 2 Dijkgraaf-Moore-Verlinde-Verlinde formula
Communications in Number Theory and Physics (2019)
Göttsche, L. | Kool, M.
Journal article
2019
Generating functions for k-theoretic Donaldson invariants and le Potier's strange duality
Journal of Algebraic Geometry (2019)
Göttsche, L. | Yuan, Y.
Journal article
2019
Refined broccoli invariants
Journal of Algebraic Geometry (2019)
Göttsche, L. | Schroeter, F.
Journal article
2019
On the Kummer construction for Kcsc metrics
Bolletino dell Unione Matematica Italiana (2019)
Arezzo, C. | Vedova, A.D. | Lena, R. | Mazzieri, L.
Journal article
2019
Fourier optimization and prime gaps
Commentarii Mathematici Helvetici (2019)
Carneiro, Emanuel | Milinovich, Micah B. | Soundararajan, Kannan
Journal article
2019
Sharp mixed norm spherical restriction
Advances in Mathematics (2019)
Carneiro, Emanuel | Oliveira e Silva, Diogo | Sousa, Mateus
Journal article
2019
BANDLIMITED APPROXIMATIONS AND ESTIMATES FOR THE RIEMANN ZETA-FUNCTION
Publicacions Matematiques (2019)
Carneiro, Emanuel | Chirre, Andres | Milinovich, Micah B.
Journal article
2019
Extremizers for Fourier restriction on hyperboloids
Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis (2019)
Carneiro, Emanuel | Oliveira e Silva, Diogo | Sousa, Mateus
Journal article
2019
The adaptive interpolation method for proving replica formulas. Applications to the Curie–Weiss and Wigner spike models
Journal of Physics A: Mathematical and Theoretical (2019)
Jean Barbier
Journal article
2019
Optimal errors and phase transitions in high-dimensional generalized linear models
Proceedings of the National Academy of Sciences (2019)
Jean Barbier
Journal article
2019
Entropy and mutual information in models of deep neural networks
Journal of Statistical Mechanics: Theory and Experiment (2019)
Jean Barbier
Journal article
2019
The committee machine: computational to statistical gaps in learning a two-layers neural network
Journal of Statistical Mechanics: Theory and Experiment (2019)
Jean Barbier
Journal article
2019
The adaptive interpolation method: a simple scheme to prove replica formulas in Bayesian inference
Probability Theory and Related Fields (2019)
Jean Barbier
Journal article
2019
Integrability of continuous bundles
Journal für die reine und angewandte Mathematik (Crelles Journal) (2019)
Stefano Luzzatto | Sina Tureli | Khadim War
Journal article
2018
Time reversal, SU(N) Yang–Mills and cobordisms: Interacting topological superconductors/insulators and quantum spin liquids in 3+1D
Annals Phys. (2018)
Guo, Meng | Putrov, Pavel | Wang, Juven
Journal article
2018
Tunneling Topological Vacua via Extended Operators: (Spin-)TQFT Spectra and Boundary Deconfinement in Various Dimensions
PTEP (2018)
Wang, Juven | Ohmori, Kantaro | Putrov, Pavel | Zheng, Yunqin | Wan, Zheyan | Guo, Meng | Lin, Hai | Gao, Peng | Yau, Shing-Tung
Journal article
2018
Refined SU(3) Vafa-Witten invariants and modularity
Pure and Applied Mathematics Quarterly (2018)
Göttsche, L. | Kool, M.
Journal article
2018
On the Curvature of Conic Kähler–Einstein Metrics
Journal of Geometric Analysis (2018)
Arezzo, C. | Della Vedova, A. | La Nave, G.
Journal article
2018
A C2,α estimate of the complex Monge–Ampère equation
Journal of Functional Analysis (2018)
Chao Li | Jiayu Li | Xi Zhang
Journal article
2018
Bounding S-n(t) on the Riemann hypothesis
Mathematical Proceedings of the Cambridge Philosophical Society (2018)
Carneiro, Emanuel | Chirre, Andres
Journal article
2018
On the variation of maximal operators of convolution type II
Revista Matematica Iberoamericana (2018)
Carneiro, Emanuel | Finder, Renan | Sousa, Mateus
Journal article
2017
Fivebranes and 3-manifold homology
JHEP (2017)
Gukov, Sergei | Putrov, Pavel | Vafa, Cumrun
Journal article
2017
Braiding Statistics and Link Invariants of Bosonic/Fermionic Topological Quantum Matter in 2+1 and 3+1 dimensions
Annals Phys. (2017)
Putrov, Pavel | Wang, Juven | Yau, Shing-Tung
Book
2017
Generalized connected sum constructions for resolutions of extremal and Kcsc orbifolds
Springer INdAM Series (2017)
Arezzo, C.
Journal article
2017
DERIVATIVE BOUNDS FOR FRACTIONAL MAXIMAL FUNCTIONS
Transactions of the American Mathematical Society (2017)
Carneiro, Emanuel | Madrid, Jose

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