Department of Mathematics and Statistics at the Faculty of Science
University of Calgary
Jedrzej Sniatycki
- Professor
- Applied Mathematics
Research Interests
Combinatorics, Geometry and Logic:
Currently Teaching
| F2012 - AMAT 505 - Calculus On Manifolds | |||||||||||||||||
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| F2012 - MATH 249 - Introductory Calculus | |||||||||||||||||
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| W2013 - AMAT 601.26 - Topics in Applied Mathematics | |||||||||||||||||
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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.
Degrees
- 1961 - B.A. - University of Cambridge
- 1961 - M.Sc. - Warsaw University
- 1968 - Ph.D. - Warsaw University
Students
Ph.D. Students:
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