David Witt Nyström

Full Professor at Algebra and geometry

My field of research is complex geometry. I have done work on Fekete points, Okounkov bodies, geodesic rays in spaces of Kähler metrics, canonical tubular neighbourhoods in Kähler geometry and Hele-Shaw flows and their connection to the complex homogeneous Monge-Ampere equation. My latest research focuses on embeddings of Kähler balls into projective manifolds.

Source: chalmers.se
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Showing 16 publications

2024

Interpolation, Prekopa and Brunn-Minkowski for F-subharmonicity

Julius Ross, David Witt Nyström
Advances in Mathematics. Vol. 436
Journal article
2024

Deformations of Kähler manifolds to normal bundles and restricted volumes of big classes

David Witt Nyström
Journal of Differential Geometry. Vol. 128 (3), p. 1177-1223
Journal article
2023

Okounkov Bodies and the Kähler Geometry of Projective Manifolds

David Witt Nyström
Springer Proceedings in Mathematics and Statistics. Vol. 409, p. 617-632
Paper in proceeding
2022

Non-pluripolar energy and the complex Monge-Ampere operator

Mats Andersson, David Witt Nyström, Elizabeth Wulcan
Journal für die Reine und Angewandte Mathematik. Vol. 2022 (792), p. 145-188
Journal article
2022

The Minimum Principle for Convex Subequations

Julius Ross, David Witt Nyström
Journal of Geometric Analysis. Vol. 32 (1)
Journal article
2019

Monotonicity of Non-Pluripolar Monge-Ampere Masses

David Witt Nyström
Indiana University Mathematics Journal. Vol. 68 (2), p. 579-591
Journal article
2019

Coupled Kähler-Einstein Metrics

Jakob Hultgren, David Witt Nyström
International Mathematics Research Notices. Vol. 2019 (21), p. 6765-6796
Journal article
2019

Duality between the pseudoeffective and the movable cone on a projective manifold

David Witt Nyström, Sebastien Boucksom
Journal of the American Mathematical Society. Vol. 32 (3), p. 675-689
Journal article
2019

On the maximal rank problem for the complex homogeneous Monge-Ampère equation

Julius Ross, David Witt Nyström
Analysis and PDE. Vol. 12 (2), p. 493-504
Journal article
2014

Analytic test configurations and geodesic rays

J. Ross, David Witt Nyström
Journal of Symplectic Geometry. Vol. 12 (1), p. 125-169
Journal article
2012

Test configurations and Okounkov bodies

David Witt Nyström
Compositio Mathematica. Vol. 148 (6), p. 1736-1756
Journal article
2012

Okounkov bodies and geodesic rays in Kähler geoemtry

David Witt Nyström
Doctoral thesis
2011

Fekete points and convergence towards equilibrium measures on complex manifolds

Robert Berman, Sebastien Boucksom, David Witt Nyström
Acta Mathematica. Vol. 207 (1), p. 1-27
Magazine article
2009

Chebyshev transforms on Okounkov bodies

David Witt Nyström
Preprint
2008

Convergence of Bergman measures of high powers of a line bundle

Robert Berman, David Witt Nyström
Preprint

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