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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
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
Preprint
2024
An iterative construction of complete K\'ahler--Einstein metrics
Quang-Tuan Dang | Tat Dat Tô
Preprint
2024
Quantum $K$-invariants via Quot scheme II
Shubham Sinha | Ming Zhang
Preprint
2024
Quantum $K$-invariants via Quot schemes I
Shubham Sinha | Ming Zhang

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All publications
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
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
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
Integrability of continuous bundles
Journal für die reine und angewandte Mathematik (Crelles Journal) (2019)
Stefano Luzzatto | Sina Tureli | Khadim War
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
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
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
On the variation of maximal operators of convolution type II
Revista Matematica Iberoamericana (2018)
Carneiro, Emanuel | Finder, Renan | Sousa, Mateus
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
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
Journal article
2017
Fivebranes and 3-manifold homology
JHEP (2017)
Gukov, Sergei | Putrov, Pavel | Vafa, Cumrun
Book
2017
Generalized connected sum constructions for resolutions of extremal and Kcsc orbifolds
Springer INdAM Series (2017)
Arezzo, C.
Journal article
2017
Hilbert spaces and the pair correlation of zeros of the Riemann zeta-function
Journal fur Die Reine und Angewandte Mathematik (2017)
Carneiro, Emanuel | Chandee, Vorrapan | Littmann, Friedrich | Milinovich, Micah B.
Journal article
2017
A sharp trilinear inequality related to Fourier restriction on the circle
Revista Matematica Iberoamericana (2017)
Carneiro, Emanuel | Foschi, Damiano | Oliveira e Silva, Diogo | Thiele, Christoph
Journal article
2017
DERIVATIVE BOUNDS FOR FRACTIONAL MAXIMAL FUNCTIONS
Transactions of the American Mathematical Society (2017)
Carneiro, Emanuel | Madrid, Jose
Journal article
2017
EXTREMAL FUNCTIONS IN DE BRANGES AND EUCLIDEAN SPACES, II
American Journal of Mathematics (2017)
Carneiro, Emanuel | Littmann, Friedrich
Journal article
2017
Endpoint Sobolev and BV continuity for maximal operators
Journal of Functional Analysis (2017)
Carneiro, Emanuel } | Madrid, Jose | Pierce, Lillian B.
Journal article
2017
Integrability of dominated decompositions on three-dimensional manifolds
Ergodic Theory and Dynamical Systems (2017)
Stefano Luzzatto
Journal article
2017
SRB measures for partially hyperbolic systems whose central direction is weakly expanding
Journal of the European Mathematical Society (2017)
Stefano Luzzatto
Journal article
2017
Approximate Message-Passing Decoder and Capacity Achieving Sparse Superposition Codes
IEEE Transactions on Information Theory (2017)
Barbier, J. | Krzakala, F.
Journal article
2016
(0,4) dualities
JHEP (2016)
Putrov, Pavel | Jaewon Song | Yan, Wenbin
Journal article
2016
Fock spaces and refined severi degrees
International Mathematics Research Notices (2016)
Block, F. | Göttsche, L.
Journal article
2016
Refined curve counting with tropical geometry
Compositio Mathematica (2016)
Block, F. | Göttsche, L.
Journal article
2016
Refined node polynomials via long edge graphs
Communications in Number Theory and Physics (2016)
Göttsche, L. | Kikwai, B.

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