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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
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
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
Journal article
2024
Pluripotential Chern-Ricci flows
Indiana University Mathematics Journal (2024)
Quang-Tuan Dang
Journal article
2024
Cores of Partitions in Rectangles
The Electronic Journal of Combinatorics (2024)
Arvind Ayyer | Shubham Sinha
Preprint
2023
Singularities of the Chern-Ricci flow
Quang-Tuan Dang
Preprint
2023
K\'ahler--Einstein metrics on quasi-projective manifolds
Quang-Tuan Dang | Duc-Viet Vu
Journal article
2023
Continuity of Monge–Ampère Potentials with Prescribed Singularities
The Journal of Geometric Analysis (2023)
Quang-Tuan Dang
Preprint
2023
Continuity of Monge-Amp\`ere Potentials with Prescribed Singularities
Quang-Tuan Dang

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All publications
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
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
The virtual intersection theory of isotropic Quot Schemes
Journal of Geometry and Physics (2021)
Shubham Sinha
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
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
Journal article
2021
Elliptic Trace Map on Chiral Algebras
arXiv preprint arXiv:2112.14572 (2021)
Gui, Zhengping | Li, Si
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
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
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
Hilbert transforms and the equidistribution of zeros of polynomials
Journal of Functional Analysis (2021)
Emanuel Carneiro | Mithun kumar Das | Alexandra Florea | Angel Kumchev | Amita Malik | Micah 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
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
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
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
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.

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