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» Jedrzej Sniatycki
Jedrzej Sniatycki
Professor
Applied Mathematics
+1 (403) 220-3957
MS 320
sniat@math.ucalgary.ca
http://math.ucalgary.ca/~sniatyck
Research Interests
Combinatorics, Geometry and Logic:
Symplectic geometry
General:
Differential Spaces
Hamiltonian mechanics
Non-holonomic constraints
Geometric quantization
Multisymplectic systems
Yang-Mills theory
Currently Teaching
F2012 - AMAT 505 - Calculus On Manifolds
Details
LEC 1
MWF 11:00 - 11:50
MS 452
F2012 - MATH 249 - Introductory Calculus
Details
LEC 5
MTWF 13:00 - 13:50
ST 143
Notes: STUDENTS IN LEC 05 MUST REGISTER IN B17, B18, B19 or B20, AND ONE OF TUTORIALS T01 THROUGH T08.
W2013 - AMAT 601.26 - Topics in Applied Mathematics
Details
LEC 1
MWF 11:00 - 11:50
MS 569
view past courses
Publications
Book
Sniatycki, Jedrzej
.
Quantization of {Y}ang-{M}ills fields commutes with reduction
World Sci. Publishing, 2000. 68-75.
Sniatycki, Jedrzej
.
Classical {Y}ang-{M}ills and {D}irac fields in the {M}inkowski space and in a bag
Plenum, 1995. 109-118.
Sniatycki, Jedrzej
.
On boundary conditions for {Y}ang-{M}ills fields in spatially bounded domains
379. Springer, 1991. 43-53.
Sniatycki, Jedrzej
.
Hamiltonian constraints, the {J}acobi principle and gravity
99. Birkh\"auser Boston, 1991. 433-441.
Sniatycki, Jedrzej
.
Geometry of minisuperspace
World Sci. Publishing, 1991. 91-97.
Sniatycki, Jedrzej
.
On reduction of almost regular momentum maps
Univ. Montr\'eal, 1990. 229-233.
Epstein, Marcelo and
Sniatycki, Jedrzej
.
Geometry of uniform bodies
World Sci. Publishing, 1989. 134-151.
Binz, Ernst ,
Sniatycki, Jedrzej
and Fischer, Hans
.
Geometry of classical fields
154. North-Holland Publishing Co., 1988. xviii+450.
Sniatycki, Jedrzej
.
On quantization of {Y}ang-{M}ills fields
76. Teubner, 1985. 351-363.
Epstein, Marcelo and
Sniatycki, Jedrzej
.
Locality and uniformity in global elasticity
1139. Springer, 1985. 300-310.
Sniatycki, Jedrzej
.
On quantization of systems with constraints
6. Reidel, 1984. 207-211.
Sniatycki, Jedrzej
.
Constraints and quantization
1037. Springer, 1983. 301-334.
Sniatycki, Jedrzej
.
Further applications of geometric quantization
139. Springer, 1981. 36-37.
Sniatycki, Jedrzej
.
Geometric quantization and quantum mechanics
30. Springer-Verlag, 1980. ix+230.
Sniatycki, Jedrzej
.
Application of geometric quantization in quantum mechanics
676. Springer, 1978. 357-367.
Sniatycki, Jedrzej
.
On geometric quantization of classical systems
Academic Press, 1978. 287-297.
Sniatycki, Jedrzej
.
On cohomology groups appearing in geometric quantization
Springer, 1977. 46-66. Lecture Notes in Math., Vol. 570.
Sniatycki, Jedrzej
.
On wave functions in geometric quantization
Springer, 1976. 194-198. Lecture Notes in Phys., Vol. 50.
Sniatycki, Jedrzej
.
Bohr-{S}ommerfeld quantum systems
Centre Nat. Recherche Sci., Centre Phys. Theor., Marseille, 1974. 42-51.
Journal Paper
Sniatycki, Jedrzej
.
Multisymplectic reduction for proper actions
56.3 2004. 638-654.
Sniatycki, Jedrzej
.
Geometry of solution spaces of spaces of {Y}ang-{M}ills equations
24. 2003. 249-265.
Cushman, Richard
and
Sniatycki, Jedrzej
.
Erratum: ``{D}ifferential structure of orbit spaces'' [{C}anad. {J}. {M}ath. {\bf 53} (2001), no. 4, 715-755; \refmr {MR}1848504 (2002j:53109)\endrefmr]
55.2 2003. 247.
Cushman, Richard
and
Sniatycki, Jedrzej
.
Erratum: ``{D}ifferential structure of orbit spaces'' [{C}anad. {J}. {M}ath. {\bf 53} (2001), no. 4, 715-755; {MR}1848504 (2002j:53109)]
55.2 2003. 247.
Sniatycki, Jedrzej
.
Integral curves of derivations on locally semi-algebraic differential spaces
suppl. 2003. 827-833.
Sniatycki, Jedrzej
.
Orbits of families of vector fields on subcartesian spaces
53.7 2003. 2257-2296.
Sniatycki, Jedrzej
.
The momentum equation and the second order differential equation condition
49.2-3 2002. 371-394.
Cushman, Richard
and
Sniatycki, Jedrzej
.
A nonholonomic oscillator
50.1 2002. 85-98.
Cushman, Richard
and
Sniatycki, Jedrzej
.
Nonholonomic reduction for free and proper actions
7.1 2002. 61-72.
Sniatycki, Jedrzej
.
Almost {P}oisson spaces and nonholonomic singular reduction
48.1-2 2001. 235-248.
Cushman, Richard
and
Sniatycki, Jedrzej
.
Differential structure of orbit spaces
53.4 2001. 715-755.
Sniatycki, Jedrzej
.
Regularity of constraints and reduction in the {M}inkowski space {Y}ang-{M}ills-{D}irac theory
70.3 1999. 277-293.
Sniatycki, Jedrzej
.
Geometry of the constraint sets for {Y}ang-{M}ills-{D}irac equations with inhomogeneous boundary conditions
203.3 1999. 707-712.
Sniatycki, Jedrzej
.
A {H}amiltonian analysis of {Y}ang-{M}ills equations
44.1-2 1999. 205-214.
Cushman, Richard
and
Sniatycki, Jedrzej
.
Hamiltonian mechanics on principal bundles
21.2 1999. 60-64.
Sniatycki, Jedrzej
.
Nonholonomic {N}oether theorem and reduction of symmetries
42.1-2 1998. 5-23.
Cushman, Richard
and
Sniatycki, Jedrzej
.
A classical particle with spin realized by reduction of a nonlinear nonholonomic constraint
41.1 1998. 133-142.
Schwarz, G and
Sniatycki, Jedrzej
.
Gauge symmetries of an extended phase space for {Y}ang-{M}ills and {D}irac fields
66.1 1997. 109-136.
Schwarz, G ,
Sniatycki, Jedrzej
and Tafel, Jacek
.
Yang-{M}ills and {D}irac fields with inhomogeneous boundary conditions
188.2 1997. 439-448.
Tafel, J. and
Sniatycki, Jedrzej
.
Nonlinear semigroups and the {Y}ang-{M}ills equations with the metallic boundary conditions
22.1-2 1997. 49-69.
Sniatycki, Jedrzej
, Schwarz, G and
Bates, Larry
.
Yang-{M}ills and {D}irac fields in a bag, constraints and reduction
176.1 1996. 95-115.
Sniatycki, Jedrzej
.
What can we learn from the classical theory of {Y}ang-{M}ills and {D}irac fields?
27.10 1996. 2497-2505.
Schwarz, G. and
Sniatycki, Jedrzej
.
The {H}amiltonian evolution of {Y}ang-{M}ills fields in bounded domains
27.4 1996. 881-892.
Schwarz, G and
Sniatycki, Jedrzej
.
Yang-{M}ills and {D}irac fields in a bag, existence and uniqueness theorems
168.2 1995. 441-453.
Cushman, Richard
,
Sniatycki, Jedrzej
and
Bates, Larry
.
Geometry of nonholonomic constraints
36.2-3 1995. 275-286.
Cushman, Richard
and
Sniatycki, Jedrzej
.
Local integrability of the mixmaster model
36.1 1995. 75-89.
Sniatycki, Jedrzej
and Schwarz, G
.
The existence and uniqueness of solutions of {Y}ang-{M}ills equations with bag boundary conditions
159.3 1994. 593-604.
Sniatycki, Jedrzej
and Schwartz, G
.
An invariance argument for confinement
34.3 1994. 311-324.
Bates, Larry
and
Sniatycki, Jedrzej
.
Nonholonomic reduction
32.1 1993. 99-115.
Bates, Larry
and
Sniatycki, Jedrzej
.
On the period-energy relation
114.3 1992. 877-878.
Epstein, Marcelo and
Sniatycki, Jedrzej
.
Fermat's principle in elastodynamics
27.1 1992. 45-56.
Kerbrat, Yvan , Kerbrat-Lunc, H and
Sniatycki, Jedrzej
.
Geometry of minisuperspace in examples
31.2 1992. 205-215.
Bates, Larry
and
Sniatycki, Jedrzej
.
On action-angle variables
120.4 1992. 337-343.
Duval, C. , Elhadad, J. , Gotay, M. J.,
Sniatycki, Jedrzej
and Tuynman, G. M.
.
Quantization and bosonic {BRST} theory
206.1 1991. 1-26.
Sniatycki, Jedrzej
.
Regularity of constraints in the {M}inkowski space {Y}ang-{M}ills theory
141.3 1991. 593-597.
Kerbrat, Yvan , Kerbrat-Lunc, H and
Sniatycki, Jedrzej
.
Generalized gauge fields
32.7 1991. 1750-1754.
Epstein, Marcelo and
Sniatycki, Jedrzej
.
{$G$}-structures and material homogeneity
23.2-3 1990. 167-180.
Kerbrat, Y. , Kerbrat-Lunc, H. and
Sniatycki, Jedrzej
.
A geometric interpretation of symmetry breaking in electroweak interactions
28.2 1989. 201-212.
Kerbrat, Y. , Kerbrat-Lunc, H. and
Sniatycki, Jedrzej
.
How to get masses from {K}aluza-{K}lein theory
6.2 1989. 311-329.
Sniatycki, Jedrzej
.
Gauge invariance, boundary conditions, and charges
25.3 1988. 291-303.
Sniatycki, Jedrzej
.
On the role of boundary conditions in conservation laws in field theory
1987. 154-161.
Binz, Ernst and
Sniatycki, Jedrzej
.
Conservation laws in spacetimes with boundary
3.6 North-Holland Publishing Co., 1986. 1191-1197.
Sniatycki, Jedrzej
.
Geometric quantization and constraints in field theory
2.2 North-Holland Publishing Co., 1985. 1-21.
Sniatycki, Jedrzej
.
The {C}auchy data space formulation of classical field theory
19.3 1984. 407-422.
Gotay, Mark J., Lashof, Richard ,
Sniatycki, Jedrzej
and Weinstein, Alan
.
Closed forms on symplectic fibre bundles
58.4 1983. 617-621.
Sniatycki, Jedrzej
.
On gauge invariance and confinement
6.6 1983. 1509-1517.
Sniatycki, Jedrzej
and Weinstein, Alan
.
Reduction and quantization for singular momentum mappings
7.2 1983. 155-161.
Gotay, Mark J. and
Sniatycki, Jedrzej
.
On the quantization of presymplectic dynamical systems via coisotropic imbeddings
82.3 1981/82. 377-389.
Sniatycki, Jedrzej
.
On particles with gauge degrees of freedom
4.3 1980/81. 844-878.
Sniatycki, Jedrzej
.
Kinematics of particles with isotopic spin
3.2 1979/80. 743-764.
Sniatycki, Jedrzej
.
On {H}amiltonian dynamics of particles with gauge degrees of freedom
2.3 1979. 642-656.
Sniatycki, Jedrzej
and Toporowski, Stanley
.
On representation spaces in geometric quantization
16.8 1977. 615-633.
Sniatycki, Jedrzej
.
Wave functions relative to a real polarization
14.4 1975. 277-288.
Lawruk, B. ,
Sniatycki, Jedrzej
and Tulczyjew, W. M.
.
Special symplectic spaces
17. Springer-Verlag, 1975. 477-497.
Sniatycki, Jedrzej
.
Bohr-{S}ommerfeld conditions in geometric quantization
7.2 1975. 303-311.
Sniatycki, Jedrzej
.
Prequantization of charge
15. 1974. 619-620.
Sniatycki, Jedrzej
.
Dirac brackets in geometric dynamics
20. 1974. 365-372.
Sniatycki, Jedrzej
and Tulczyjew, W. M.
.
Generating forms of {L}agrangian submanifolds
22. Springer-Verlag, 1972/73. 267-275.
Sniatycki, Jedrzej
.
Lagrangian systems, canonical systems and {L}egendre transformation
1972. 125-143.
Sniatycki, Jedrzej
and Tulczyjew, W. M.
.
Canonical formulation of {N}ewtonian dynamics
16. 1972. 23-27.
Sniatycki, Jedrzej
and Tulczyjew, W. M.
.
Canonical dynamics of relativistic charged particles
15. 1971. 177-187.
Sniatycki, Jedrzej
.
On the geometric structure of classical field theory in {L}agrangian formulation
68. 1970. 475-484.
Bia{\l}ynicki-Birula, I. ,
Sniatycki, Jedrzej
and Tatur, S.
.
Functional methods in the {T}hirring model
11. 1963. 479-482.
Preprint
Sniatycki, Jedrzej
.
Orbits of Families of Vector Fields on Subcartesian
2003.
Sniatycki, Jedrzej
.
Singular Multisymplestic Reduction
2002.
Sniatycki, Jedrzej
.
The Momentum Equation and Second Order Differential Equation Condition.
2001.
Sniatycki, Jedrzej
and Cushman, Richard
.
Differential Structure of Orbit Spaces.
2000.
Sniatycki, Jedrzej
and Cushman, Richard
.
Lifted Action and the Local Geometry of Orbit Spaaces
2000.
Sniatycki, Jedrzej
.
Almost Poisson Spaces and Non-holomic Singular Reduction.
2000.
Sniatycki, Jedrzej
.
Spaces of sufficiently smooth solutions of the Yang-Mills equations
1998.
Sniatycki, Jedrzej
.
Regular Multisymplectic Reduction
1970.
Courses
Supervised Students
Degrees
1961 - B.A. -
University of Cambridge
1961 - M.Sc. -
Warsaw University
1968 - Ph.D. -
Warsaw University
Students
Ph.D. Students:
Mohammad Aliyu
2011 to Present
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