Publications by Alvaro Pelayo

 Book

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 Title
 Editorial Press
 Download File
17 An Invitation to Symplectic Manifolds and Quantization
(with Bertram Kostant)		 Springer, to appear Not available
Publisher web site

 Research Papers

  General Research Interests: Dynamical Systems, Symplectic Geometry, Partial Differential Equations.

#
 Title
 Journal
 Download File
16 Symplectic and spectral theory for spin-oscillators
(with San Vu Ngoc) 		Preprint Not available
15 Fixed points of symplectic periodic flows
(with Susan Tolman)		 Submitted pdf file
14 Topology of symplectic torus actions with symplectic orbits
(with J.J. Duistermaat)		 Submitted pdf file
13 Symplectic geometry on moduli spaces of J-holomorphic curves
(with Joe Coffey and Liat Kessler) 		Submitted pdf file
12 Complex structures on 4-manifolds with symplectic 2-torus actions
(with J.J. Duistermaat)		 Submitted pdf file
11 Constructing integrable systems of semitoric type
(with San Vu Ngoc)		 Acta Mathematica (to appear) arxiv:0903.3376
Publisher web site
10 Non-Kahler symplectic manifolds with toric symmetries
(with Yi Lin)		 Quart. J. of Math. (to appear) pdf file
Publisher web site
9 Symplectic actions of 2-tori on 4-manifolds Mem. Amer. Math. Soc. 204 (2010) no. 959 pdf file
Publisher web site
8 Semitoric integrable systems on symplectic 4-manifolds
(with San Vu Ngoc) 		Inventiones Math. 177 (2009) 571-597 pdf file
Publiser web site
7 Reduced phase space and toric variety coordinatizations
of Delzant spaces
(with J.J. Duistermaat)		 Math. Proc. Cambr. Phil. Soc. 146 (2009) 695-718 pdf file
Publisher web site
6 Maximal ball packings of symplectic toric manifolds
(with Benjamin Schmidt)		 Intern. Math. Res. Not. 2008 (2008), 24p, ID rnm139 arxiv:0704.1036
Publisher web site
5 Symplectic torus actions with coisotropic principal orbits
(with J.J. Duistermaat)
 Ann. de l'Inst. Fourier 57 (2007) 2239-2327 pdf file
Publisher web site
4 Topology of spaces of equivariant symplectic embeddings Proc. Amer. Math. Soc. 35 (2007) 277-288 arxiv:0704.1033
Publisher web site
3 A geometric approach to the classification of the equilibrium
shapes of self-gravitating fluids
(with Daniel Peralta)
 Comm. Math. Physics 267 (2006) 93-115 pdf file
Publisher web site
2 Toric symplectic ball packing Topology and Its Appl. 157 (2006) 3633-3644 arXiv:0704.1034
Publisher web site
1 Unbounded orbits of dynamical systems
(with Daniel Peralta and Francisco G. Gascon)		 Appl. Math. Lett. 17 (2004) 253-259
(Publisher web site)

  The published version may slightly differ from the version posted here, and is always the most up-to-date. Most papers are also in the arXiv.
  This research has been supported by the fellowships and grants in here . Lectures delivered on this research, including slides, can be found here

 PhD Thesis

Symplectic Torus Actions Ph.D. Thesis, University of Michigan, August 2007
Advisor: Yael Karshon

 Current Projects on

            - Singularity theory, spectral theory and microlocal analysis of integrable systems
            - Symplectic aspects of Lie Theory, singularities
            - Symplectic Geometry on moduli spaces of J-holomorphic curves

Some working Drafts
Asymptotic expansions and Ehrhart theorem
(with Victor Guillemin)
Global symplectic geometry of integrable systems with 2 degrees of freedom
(with San Vu Ngoc)