Everyone is the son of his own works.

M. de Cervantes

---

[Book - Preprints - Submitted - Published - Thesis]

35 papers, 1 book.


BOOK

• Geometric Quantization.
  A Lie Theory Approach
  B. Kostant, Á. Pelayo
  Springer Universitext, book to appear 
  
  return to the top
  

ARTICLES - PREPRINTS

• The Poincare-Birkhoff theorem in random dynamics
  Á. Pelayo, F. Rezakhanlou
  Available very soon, 47 pages.
  

ARTICLES - SUBMITTED OR IN ARXIV

• Sharp symplectic embeddings of cylinders
  Á. Pelayo, S. Vũ Ngọc
  PDF |arXiv:1304.5250
  
  
• Semiclassical inverse spectral theory for singularities of focus-focus type
  Á. Pelayo, S. Vũ Ngọc
  PDF |arXiv:1302.2260| Submitted
  
  
• Semiclassical quantization and spectral limits of h-pseudodifferential and Berezin-Toeplitz operators
  Á. Pelayo, L. Polterovich, S. Vũ Ngọc
  PDF |arXiv:1302.0424 | Submitted
  
  
• A preliminary univalent formalization of the p-adic numbers
  Á. Pelayo, V. Voevodsky, M. Warren
  PDF |arXiv:1302.1207| Submitted
  
  
• The Hofer question on intermediate symplectic capacities
  Á. Pelayo, S. Vũ Ngọc
  (formerly "Hamiltonian dynamics and symplectic capacities", which is now split into this paper, and "Sharp symplectic embeddings of cylinders")
  PDF |arXiv:1210.1537| Submitted
  
  
• Homotopy type theory and Voevodsky's univalent foundations
  Á. Pelayo, M. Warren
  PDF |arXiv:1210.5658| Submitted
  
  
• Applying Hodge theory to detect Hamiltonian flows
  Á. Pelayo, T. Ratiu
  PDF |arXiv:1005.2163
  

• Log-concavity and symplectic flows
  Y. Lin, Á. Pelayo
  PDF |arXiv:1207.1335| Submitted 
  
  
• Fiber connectivity and bifurcation diagrams for almost toric systems
  Á. Pelayo, T. Ratiu, S. Vũ Ngọc
  (formerly "Symplectic bifurcation thery for integrable systems")
  PDF |arXiv:1108.0328 | Submitted 
  
  
  

ARTICLES - PUBLISHED OR TO APPEAR

2013

• Isospectrality for quantum toric integrable systems
  L. Charles, Á. Pelayo, S. Vũ Ngọc  
  Ann. Sci. Ec. Norm. Sup., to appear
  PDF | arXiv:1111.5985 
  
  
• Moduli spaces of toric manifolds
  Á. Pelayo, A.R. Pires, T. Ratiu, S. Sabatini
  Geometriae Dedicata, to appear
  PDF | arXiv:1207.0092 | Publisher Website  
  
  
• Voevodsky's Univalence Axiom in homotopy type theory
  S. Awodey, Á. Pelayo, M. Warren
  Notices Amer. Math. Soc., to appear
  PDF | arXiv:1302.4731
  
  
• Symplectic spectral geometry of semiclassical operators
  Á. Pelayo
  Bull. Belgian Math. Soc., to appear
  PDF | arXiv:1303.2570

2012

• Circle valued momentum maps for symplectic periodic flows 
  Á. Pelayo, T. Ratiu
  L'Enseign. Math. 58 (2012) 205-219
  PDF | Publisher Website  
  
  
• First steps in symplectic and spectral theory of integrable systems
  Á. Pelayo, S. Vũ Ngọc  
  Discrete and Cont. Dyn. Syst., Series A 32 (2012) 3325-3377
  PDF | Publisher Website  
  
  
• Hamiltonian dynamics and spectral theory for spin-oscillators 
  Á. Pelayo, S. Vũ Ngọc
  Comm. Math Phys. 309 (2012) 123-154
  PDF | arXiv:1005.0439| Publisher Website  
  
  
• Symplectic geometry on moduli spaces of J-holomorphic curves 
  J .Coffey, L. Kessler, Á. Pelayo
  Ann. Glob. Anal. Geom. 41 (2012) 265-280
  PDF | arXiv:0905.3009| Publisher Website  
  

2011

• Symplectic theory of completely integrable Hamiltonian systems 
  Á. Pelayo, S. Vũ Ngọc 
  Bull. Amer. Math. Soc. 48 (2011) 409-455
  PDF | Publisher Website    
  
  
• Constructing integrable systems of semitoric type 
  Á. Pelayo, S. Vũ Ngọc
  Acta Math. 206 (2011) 93-125
  PDF | arXiv:0903.3376| Publisher Website  
  
  
• Fourier integral operators, spectral theory, and Hamiltonian systems
  Á. Pelayo
  Gac. Real Soc. Mat. Esp. 14 (2011) 247-262  
  PDF | Publisher Website
  

• Fixed points of symplectic periodic flows 
  Á. Pelayo, S. Tolman
  Ergod. Theory and Dyn. Syst. 31 (2011) 1237-1247
  PDF | arXiv:1003.4787| Publisher Website
  

• Complex structures on 4-manifolds with symplectic 2-torus actions 
  J.J. Duistermaat, Á. Pelayo
  Intern. J. Math. 2 (2011) 449-463 
  PDF | Publisher Website
  
  
• Remembering Johannes J. Duistermaat (1942-2010)
  V. Guillemin, Á. Pelayo, S. Vũ Ngọc, A. Weinstein
  Not. Amer. Math. Soc. 58 (2011) 794-802
  PDF | Publisher Website
  
  
• Non-Kahler symplectic manifolds with toric symmetries 
  Y. Lin, Á. Pelayo
  Quart. J. Math. 62 (2011) 103-114  
  PDF | Publisher Website
  
  
• Topology of symplectic torus actions with symplectic orbits 
  J.J. Duistermaat, Á. Pelayo
  Revist. Mat. Complut. 24 (2011) 59-81  
  PDF | Publisher Website

2010

• Symplectic actions of 2-tori on 4-manifolds 
  Á. Pelayo
  Mem. Amer. Math. Soc. 204 (2010) no. 959, viii+ 91p
  PDF | arXiv:0609848| Publisher Website
  
  

2009

• Reduced phase space and toric variety coordinatizations of Delzant spaces 
  J.J. Duistermaat, Á. Pelayo
  Math. Proc. Cam. Phil. Soc. 146 (2009) 695-718
  PDF | arXiv:0704.0430| Publisher Website
  
  
• Semitoric integrable systems on symplectic 4-manifolds 
  Á. Pelayo, S. Vũ Ngọc
  Invent. Math. 177 (2009) 571-597
  PDF | arXiv:0806.1946| Publisher Website
  

2008

• Maximal ball packings of symplectic toric manifolds 
  A. Pelayo, B. Schmidt
  Intern. Math. Res. Not. IMRN (2008), 24p, ID rnm139  
  PDF | arXiv:0704.1036| Publisher Website
  

2007

• Symplectic torus actions with coisotropic principal orbits
  J.J. Duistermaat, Á. Pelayo
  Ann. de l'Inst. Fourier 57 (2007) 2239-2327  
  PDF | arXiv:0511676| Publisher Website
  
  
• Topology of spaces of equivariant symplectic embeddings 
  Á. Pelayo
  Proc. Amer. Math. Soc. 35 (2007) 277-288
  PDF | arXiv:0704.1033| Publisher Website
  

2006

• A geometric approach to the classification of the equilibrium shapes of self-gravitating fluids
  Á. Pelayo, D. Peralta
  Comm. Math. Phys. 267 (2006) 93-115
  PDF | arXiv:math-ph/0305038| Publisher Website
  
  
• Toric symplectic ball packing 
  Á. Pelayo
  Topology and Its Appl. 157 (2006) 3633-3644
  PDF | arXiv:0704:1034| Publisher Website
  

2004

• Unounded trajectories of dynamical systems
  F.G. Gascon, Á. Pelayo, D. Peralta 
  Appl. Math. Lett. 17 (2004) 253-259  
  Publisher Website
  
  return to the top
  
  

PHD THESIS

• Symplectic Torus Actions
  Á. Pelayo (Advisor: Y. Karshon)
  University of Michigan,
  August  of 2007
  
  return to the top
  
  

Additional Classifications of Publications:

By Publisher

By Research Direction

Unpublished:

Click here for papers In Preparation


return to the top

The research leading to these works has been supported by

The Mathematical Sciences Research Institute in Berkeley, the Institute for Advanced Study in Princeton, the Oberwolfach Institute in Germany, the Spanish National Research Council and the Spanish Science Ministry provided support at different stages.