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Mathematics

D-Index
47
Citations
12588
World Ranking
1243
National Ranking
552

Research.com Recognitions

  • 2017 - Steele Prize for Mathematical Exposition
  • 2014 - Member of Academia Europaea
  • 2013 - Fellow of the American Mathematical Society
  • 1999 - Member of the National Academy of Sciences
  • 1995 - Fellow of the American Academy of Arts and Sciences
  • 1994 - Fellow of the Royal Society, United Kingdom

Overview

Dusa McDuff is affiliated with Columbia University in the United States and specializes in the field of Mathematics, with a particular focus on Geometry and Topology. Their research explores various subfields such as Computational Theory and Mathematics, Mathematical Physics, Algebra and Number Theory, and Applied Mathematics.

The main topics covered in their work include:

  • Algebraic Geometry and Number Theory
  • Geometric and Algebraic Topology
  • Polynomial and algebraic computation
  • Commutative Algebra and Its Applications
  • Homotopy and Cohomology in Algebraic Topology
  • Algebraic and Geometric Analysis
  • Advanced Algebra and Geometry

McDuff has published extensively in a number of academic venues. Frequent publication outlets include:

  • arXiv (Cornell University)
  • Algebraic & Geometric Topology
  • Geometry & Topology
  • Inventiones mathematicae
  • IEEE Microwave Magazine

Notable recent papers authored by McDuff include:

  • "Symplectic capacities, unperturbed curves and convex toric domains" (2024, Geometry & Topology)
  • "Singular algebraic curves and infinite symplectic staircases" (2025, Inventiones mathematicae)
  • "Some Advances in Pure Mathematics Made in the 19th Century [Around the Globe]" (2022, IEEE Microwave Magazine)
  • "Ellipsoidal superpotentials and singular curve counts" (2023, arXiv (Cornell University))

Additionally, McDuff has contributed to work such as "Staircase symmetries in Hirzebruch surfaces" published in 2023 in Algebraic & Geometric Topology, though credited to another primary author.

They have collaborated frequently with a number of coauthors, including:

  • Kyler Siegel
  • Nicki Magill
  • David Forfar
  • Bahar Acu
  • Catherine Cannizzo

Their contributions extend to book publications, with at least one book titled "Research Directions in Symplectic and Contact Geometry and Topology" published by Springer International Publishing in 2021.

McDuff's professional recognition includes several awards and honors such as:

  • Steele Prize for Mathematical Exposition (2017)
  • Member of Academia Europaea (2014)
  • Fellow of the American Mathematical Society (2013)
  • Member of the National Academy of Sciences (1999)
  • Fellow of the American Academy of Arts and Sciences (1995)
  • Fellow of the Royal Society, United Kingdom (1994)

Best Publications

  • Introduction to symplectic topology

    Dusa McDuff;Dietmar Salamon

  • J-Holomorphic Curves and Symplectic Topology

    Dusa McDuff;Dietmar Salamon

  • J-Holomorphic Curves and Quantum Cohomology

    Dusa McDuff;Dietmar Salamon

  • The structure of rational and ruled symplectic 4-manifolds

    Dusa McDuff

  • The geometry of symplectic energy

    François Lalonde;Dusa McDuff

  • Symplectic manifolds with contact type boundaries

    Dusa McDuff

  • Symplectic packings and algebraic geometry

    Dusa McDuff;Leonid Polterovich

  • Configuration spaces of positive and negative particles

    Unknown

  • Central Sequences and the Hyperfinite Factor

    Dusa McDuff

  • The local behaviour of holomorphic curves in almost complex 4-manifolds

    Dusa McDuff

  • Homology fibrations and the “group-completion” theorem

    D. McDuff;G. Segal

  • Examples of symplectic structures

    Dusa McDuff

  • Examples of simply-connected symplectic non-Kählerian manifolds

    Dusa McDuff

  • Topological properties of Hamiltonian circle actions

    Dusa McDuff;Susan Tolman

  • Topological rigidity of Hamiltonian loops and quantum homology

    François Lalonde;Dusa McDuff;Leonid Polterovich

  • Blow ups and symplectic embeddings in dimension 4

    Dusa McDuff

  • Topology of symplectomorphism groups of rational ruled surfaces

    D. McDuff;M. Abreu

  • Symplectic embeddings of 4-dimensional ellipsoids

    Dusa McDuff

  • The embedding capacity of 4-dimensional symplectic ellipsoids

    Dusa McDuff;Felix Schlenk

  • The moment map for circle actions on sympletic manifolds

    Dusa McDuff

  • The Hofer Conjecture on Embedding Symplectic Ellipsoids

    Dusa McDuff

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