MARK J. GOTAY 

Professor 

Editor, JDGA

 

Office	Phone	Email
Keller 411	(808) 956-4658	gotay@math.hawaii.edu
Spring 2008
Course Title	Course #	Room	Hours
Calculus II	Math 242-5	Keller 402	TR 10:30
Differential Equations I	Math 302-2	Keller 413	TR 1:30
Office hours
TR 9:30-10:15, 12:00-1:15 & By appointment
Advising
TR 9:30-10:15 & By appointment

 

Visitors

Course Materials:

• 242
  
• 302  

Selected Publications

 

• PARAMETRIZATION AND STRESS-ENERGY-MOMENTUM TENSORS IN METRIC FIELD THEORIES
  Abstract
  
  
• CONCATENATING VARIATIONAL PRINCIPLES AND THE KINETIC STRESS-ENERGY-MOMENTUM TENSOR
  Abstract
  
  
• MOMENTUM MAPS AND CLASSICAL FIELDS, PART III: GAUGE SYMMETRIES AND INITIAL VALUE CONSTRAINTS (GiMmsy III)
  Abstract
  
  
• MOMENTUM MAPS AND CLASSICAL FIELDS, PART II: CANONICAL ANALYSIS OF FIELD THEORIES (GiMmsy II)
  Abstract
  
  
• ON QUANTIZING NON-NILPOTENT COADJOINT ORBITS OF SEMISIMPLE LIE GROUPS
  Abstract Slides
  
  
• ON QUANTIZING SEMISIMPLE BASIC ALGEBRAS, I: sl(2,R)
  Abstract (.dvi_file 60 K or.pdf_file 468 K)
  
  
• POLYNOMIAL ALGEBRAS ON COADJOINT ORBITS OF SEMISIMPLE LIE GROUPS
  Abstract (.pdf file 84 K)
  
  
• ON QUANTIZING NILPOTENT AND SOLVABLE BASIC ALGEBRAS
  Abstract ( .dvi file 52 K or .pdf file 164 K) MR
  
  
• ON THE GROENEWOLD-VAN HOVE PROBLEM FOR R^{2n}
  Abstract MR
  
  
• OBSTRUCTIONS TO QUANTIZATION
  Abstract
  
  
• SYMPLECTIC GEOMETRY
  Abstract (Order Full Issue, Get Individual Articles) MR
  
  
• MOMENTUM MAPS AND CLASSICAL FIELDS, PART I: COVARIANT FIELD THEORY (GiMmsy I)
  Abstract
  
  
• NONEXISTENCE OF FINITE-DIMENSIONAL QUANTIZATIONS OF A NONCOMPACT SYMPLECTIC MANIFOLD
  Abstract MR ZMATH
  
  
• AN OBSTRUCTION TO QUANTIZING COMPACT SYMPLECTIC MANIFOLDS
  Abstract Addendum MR
  
  
• ON QUANTIZING T*S^1
  Abstract MR
  
  
• SOME REMARKS ON SINGULARITIES IN QUANTUM COSMOLOGY
  Abstract MR
  
  
• OBSTRUCTION RESULTS IN QUANTIZATION THEORY
  Abstract MR ZMATH
  
  
• ON A FULL QUANTIZATION OF THE TORUS
  Abstract MR
  
  
• A GROENEWOLD-VAN HOVE THEOREM FOR S^2
  Abstract MR
  
  
• ON SYMPLECTIC SUBMANIFOLDS OF COTANGENT BUNDLES
  Abstract MR ZMATH
  
  
• STRESS-ENERGY-MOMENTUM TENSORS AND THE BELINFANTE-ROSENFELD FORMULA
  Abstract MR
  
  
• MATHEMATICAL ASPECTS OF CLASSICAL FIELD THEORY
  Abstract (Order Book) MR
  
  
• LA SYMPLECTIFICATION DE LA SCIENCE
  Abstract English French MR ZMATH
  
  
• A MULTISYMPLECTIFIC FRAMEWORK FOR CLASSICAL FIELD THEORY AND THE CALCULUS OF VARIATIONS II: SPACE + TIME DECOMPOSITION
  Abstract MR
  
  
• AN EXTERIOR DIFFERENTIAL SYSTEMS APPROACH TO THE CARTAN FORM
  Abstract (Hard Copy) MR ZMATH
  
  
• A MULTISYMPLECTIFIC FRAMEWORK FOR CLASSICAL FIELD THEORY AND THE CALCULUS OF VARIATIONS I: COVARIANT HAMILTONIAN FORMALISM
  Abstract (Hard Copy) MR ZMATH
  
  
• A UNIVERSAL REDUCTION PROCEDURE FOR HAMILTONIAN GROUP ACTIONS
  Abstract MR ZMATH
  
  
• A SYMPLECTIC ANALOGUE OF THE MOSTOW-PALAIS THEOREM
  Abstract MR ZMATH
  
  
• A MULTISYMPLECTIC APPROACH TO THE KdV EQUATION
  Abstract (Hard Copy) MR
  
  
• COMPACT PARALLELIZABLE FOUR DIMENSIONAL SYMPLECTIC AND COMPLEX MANIFOLDS
  Abstract MR ZMATH
  
  
• NEGATIVE ENERGY STATES IN QUANTUM GRAVITY?
  Abstract MR
  
  
• CONSTRAINTS, REDUCTION AND QUANTIZATION
  Abstract MR ZMATH
  
  
• APARTHEID IN THE DIRAC THEORY OF CONSTRAINTS
  Abstract MR
  
  
• POISSON REDUCTION AND QUANTIZATION FOR THE n+1 PHOTON
  Abstract MR
  
  
• QUANTUM COSMOLOGICAL SINGULARITIES
  Abstract MR
  
  
• ON THE VALIDITY OF DIRAC'S CONJECTURE REGARDING FIRST CLASS SECONDARY CONSTRAINTS
  Abstract MR
  
  
• ON THE QUANTIZATION OF PRESYMPLECTIC DYNAMICAL SYSTEMS VIA COISOTROPIC IMBEDDINGS
  Abstract MR
  
  
• GEOMETRIC QUANTIZATION
  Abstract (Individual Articles)
  
  
• ON COISOTROPIC IMBEDDINGS OF PRESYMPLECTIC MANIFOLDS
  Abstract MR
  
  
• GEOMETRIC QUANTIZATION AND GRAVITATIONAL COLLAPSE
  Abstract MR
  
  
• PRESYMPLECTIC MANIFOLDS AND THE DIRAC-BERGMANN THEORY OF CONSTRAINTS
  Abstract MR
  
  
• EXISTENCE OF INSTANTANEOUS CAUCHY SURFACES
  Abstract
  
  

  The files that will be downloaded are either .dvi or .pdf files. If you need a reader for the .pdf files, you can download Acrobat Reader from Adobe for free. If you prefer, I can email you the files or send reprints the old-fashioned way; contact me at: gotay@math.hawaii.edu.