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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
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 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
Journal article
2024
Extensions of extremal Kähler submanifolds of complex projective spaces
Annali di Matematica Pura ed Applicata (1923 -) (2024)
Chao Li
Preprint
2024
Non-anomalous non-invertible symmetries in 1+1D from gapped boundaries of SymTFTs
Pavel Putrov | Rajath Radhakrishnan
Journal article
2024
Persistent Non-statistical Dynamics in One-Dimensional Maps
Communications in Mathematical Physics (2024)
Douglas Coates | Stefano Luzzatto
Preprint
2024
Hermitian null loci
Quang-Tuan Dang

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All publications
Journal article
2020
Fermionic Finite-Group Gauge Theories and Interacting Symmetric/Crystalline Orders via Cobordisms
Commun.Math.Phys. (2020)
Guo, Meng | Ohmori, Kantaro | Pavel Putrov | 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
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
Concentration of Multi-overlaps for Random Dilute Ferromagnetic Spin Models
Journal of Statistical Physics (2020)
Jean Barbier
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
Overlap matrix concentration in optimal Bayesian inference
Information and Inference: A Journal of the IMA (2020)
Jean Barbier
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
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
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
Refined broccoli invariants
Journal of Algebraic Geometry (2019)
Göttsche, L. | Schroeter, F.
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
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
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
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

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