About

Reyer Sjamaar is a professor in the Department of Mathematics at Cornell University. He holds a Ph.D. from Universiteit Utrecht, obtained in 1990. His academic interests include geometry, and he is affiliated with the College of Arts and Sciences. As a faculty member, he is involved in teaching and research within the department, contributing to the mathematical community at Cornell.

Research topics

• Mathematics
• Pure mathematics
• Mathematical analysis

Selected publications

• Stratified Spaces

  Encyclopedia of Mathematical Physics · 2024-05-11

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• Riemannian foliations and geometric quantization

  Journal of Geometry and Physics · 2024-02-07 · 1 citations

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• Symplectic reduction and a Darboux–Moser–Weinstein theorem for Lie algebroids

  Pure and Applied Mathematics Quarterly · 2023-01-01 · 3 citations

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• Riemannian foliations and geometric quantization

  arXiv (Cornell University) · 2022-09-28

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  We introduce geometric quantization for constant rank presymplectic structures with Riemannian null foliation and compact leaf closure space. We prove a quantization-commutes-with-reduction theorem in this context. Examples related to symplectic toric quasi-folds, suspensions of isometric actions of discrete groups, and K-contact manifolds are discussed.

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• Symplectic reduction and a Darboux-Moser-Weinstein theorem for Lie algebroids

  arXiv (Cornell University) · 2022-11-23

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  We extend the Marsden-Weinstein reduction theorem and the Darboux-Moser-Weinstein theorem to symplectic Lie algebroids. We also obtain a coisotropic embedding theorem for symplectic Lie algebroids.

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• Log Symplectic Manifolds and [<i>Q,R</i>]=0

  International Mathematics Research Notices · 2021 · 3 citations

  • Mathematics
  • Pure mathematics
  • Mathematical analysis

  Abstract We show, under an orientation hypothesis, that a log symplectic manifold with simple normal crossing singularities has a stable almost complex structure, and hence is Spin$_c$. In the compact Hamiltonian case we prove that the index of the Spin$_c$ Dirac operator twisted by a prequantum line bundle satisfies a $[Q,R]=0$ theorem.

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• A Thom isomorphism in foliated de Rham theory

  Indagationes Mathematicae · 2020 · 3 citations

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  • Mathematics
  • Pure mathematics
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• Cohomological localization for transverse Lie algebra actions on Riemannian foliations

  Journal of Geometry and Physics · 2020 · 11 citations

  Senior authorCorresponding
  • Mathematics
  • Pure mathematics
  PublisherDOI

• Log symplectic manifolds and $[Q,R]=0$

  arXiv (Cornell University) · 2020-08-28

  preprintOpen access

  We show, under an orientation hypothesis, that a log symplectic manifold with simple normal crossing singularities has a stable almost complex structure, and hence is Spin$_c$. In the compact Hamiltonian case we prove that the index of the Spin$_c$ Dirac operator twisted by a prequantum line bundle satisfies a $[Q,R]=0$ theorem.

  PublisherOA PDFDOI

• The convexity package for Hamiltonian actions on conformal symplectic manifolds

  Mathematische Zeitschrift · 2020-11-03 · 1 citations

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Recent grants

• Lie group actions on symplectic manifolds

  NSF · $151k · 2005–2008

Frequent coauthors

• Megumi Harada

  26 shared

• Lisa C. Jeffrey

  20 shared

• Eckhard Meinrenken

  19 shared

• Eugene Lerman

  19 shared

• Youming Chen

  Chongqing University of Technology

  17 shared

• Xiangdong Yang

  Lanzhou University

  17 shared

• Ina Lindemann

  Berkeley College

  16 shared

• Kai Cieliebak

  University of Augsburg

  16 shared