Laboratoire de recherche de physique mathématique
Mathematical Physics Seminars
Membres/Members
Faculty professors/professeurs permanents
Attachés de recherche / Research Associates
Postdoctoral fellows / Boursiers postdoctoraux
Visiting researchers / Chercheurs invités
Postgraduate students / Étudiants gradués
Faculty professors / professeurs permanents
S. Twareque Ali
Affiliation:
Professor
Department of Mathematics and Statistics
Concordia University
7141 Sherbrooke St. West
Montreal, Qc H4B 1R6
E-mail: stali@mathstat.concordia.ca
Phone: (514)-848-3237
Areas of research: Wavelets, coherent states, Wigner functions,
harmonic analysis
Graduate students: K. T. Santhar (doctoral), R. Detula
(doctoral), Tamara D. Chang (doctoral)
Postdocs: Lionel A. Hohoueto, Marco Bertola
Selected recent publications:
- Joint editor along with M. Schlichenmaier, A. Strasburger and A. Odzijewicz, "Coherent States, Differential and Quantum Geometry", Proceedings of the XVIth Workshop on Geometric Methods in Physics, Bia owieza, Poland, June 30 - July 6, 1997; special issue of the Reports on Mathematical Physics, Vol.43, Nos. 1 and 2 (1999).
- Joint editor along with H.-D. Doebner, M. Keyl and R. Werner, "Trends in Quantum Mechanics", Proceedings of the International Symposium held in Goslar, Germany, July 28 - 31, 1998; World Scientific, Singapore (2000).
- Coauthored with J.-P. Antoine and J.-P. Gazeau, "Coherent States, Wavelets and their Generalizations", Springer-Verlag, New York (2000).
- Joint editor along with M. Schlichenmaier, A. Strasburger and A. Odzijewicz, "Coherent States, Quantization and Gravity", Proceedings of the XVIIth Workshop on Geometric Methods in Physics, Bialowieza, Poland, July 3-9, 1998; Wydawnictwa Uniwersytetu Warszawskiego, Warszawa (2001).
- Coauthored with M.R. Karim and M. Bodruzzaman, "A relativistic windowed Fourier transform", Proc. IEEE SoutheastCon 2000", 253-260 (2000).
Marco Bertola
Affiliations
CRM and Research Professor,
Concordia University,
Dept. of Math. and Stat.
Email: bertola@crm.umontreal.ca
Phone: 343-6111-4723
Areas of research: Axiomatic quantum field theory, differential geometry, invariant theory for discrete groups.
Selected recent publications:
- M. Bertola, "Frobenius manifold structure on orbit space of Jacobi group; Part I"', Differential Geometry and its Applications {\bf 13} (2000), 19--41
- M. Bertola, "Frobenius manifold structure on orbit space of Jacobi group; Part II", Differential Geometry and its Applications {\bf 13} (3) (2000), 213--233
- M. Bertola, V. Gorini, U. Moschella, R. Schaeffer, "Correspondence between Minkowski and de Sitter Quantum Field Theory'', preprint ref. SISSA 59/99/FM, Physics Letters B {\bf 462} (1999), 249--253
- M. Bertola, J. Bros, U. Moschella and R. Schaeffer, "A general construction of conformal field theories from scalar anti-de Sitter quantum field theories'', Nuclear Physics B {\bf 587} (2000), 619--644
- M. Bertola, J. Bros, V. Gorini, U. Moschella, R. Schaeffer, "Decomposing Quantum Fields on Branes'', Nuc. Phys. B {\bf 581} (2000), 575-603.
Affiliation:
Associate Professsor
Department of Mathematics and Statistics
Concordia University
Montreal, Qc H3G 1M8
Office: LB 639-3
Email: cummins@alcor.concordia.ca
Phone: (514) 848-3262 (0ffice), (514) 848-3222 (Secretary) Fax:
(514) 848-4511
URL: http://cicma.mathstat.concordia.ca/faculty/cummins
Areas of research: Applications of group theory to mathematical
physics. Modular functions. Moonshine.
Recent co-authors: Luc Bégin (University de Moncton), Imin
Chen, Terry Gannon (University of Alberta), Luc Lapointe (McGill), Pierre Mathieu
(U Laval), Sebastian Pauli.
Postdoc for next year: Sebastian Pauli (Jan. 02 - June 02), Joergen
Rasmussen (CRM-ISM postdoc)
Affiliation:
Full Professor
Département de Mathématiques et Informatique
Université du Québec à Trois Rivières
Trois-Rivières, C.P. 500
Québec G9A 5H7
Professeur Associé
Département de Mathématiques et Statistique
Université de Montréal
C.P. 6128 Succ. Centre Ville
Montréal, Qc H3C 3J7
Professeur Associé au CRM
Membre permanent
Université de Montréal
C.P. 6128 Succ. Centre Ville
Montréal, Qc H3C 3J7
Email: grundlan@CRM.UMontreal.ca
Phone: (514)-343-6111 poste 1-4741
Areas of research: Physiques mathématiques, symétrie
des équations différentielles en physiques
Graduate students: 1) P. Picard (PhD) Alexandre Hariton (PhD)
2) Sylvain Lavallée (MSc)
Post doctoral fellows: Piergiulio Tempesta
Selected recent publications:
- P. Bracken, A. M. Grundland, (2001) Geometrical Aspects of the Complex Eikonal Equations Associated to the Generalized Weierstrass Representation. Czechoslovak J. of Phys. 51,4, 243-300.
- P. Bracken, A. M. Grundland, (2001) Symmetry Properties and Explicit Solutions of the Generalized Weierstrass System. J. Math. Phys. 42(3), 1250-1282.
- P. Bracken, A. M. Grundland (2000): On the BScklund Transformation and the Theorem of Permutability for the Generalized Weierstrass System. Inverse Problems 16, 145-153.
- E. V. Ferapontov, A. M. Grundland (2000): Links Between Different Analytic Descriptions of Constant Mean Curvature Surfaces. J. Nonlinear Math. Phys. 7(1), 14-21.
- A. Odzijewicz, A. M. Grundland (2000): The Superposition Principle for the Lie Type First Order PDEs. Reports Math. Phys. 45(2), 293-306.
•Richard Hall
Affiliation:
Professor
Department of Mathematics and Statistics
Concordia University
1455 de Maisonneuve Blvd. W.,
Montreal Qc H3G 1M8
Email: rhall@mathstat.concordia.ca
Phone: (514) 848-3221 or 848-3250
URL: http://cicma.mathstat.concordia.ca/faculty/rhall/rhall.html
Areas of research: Quantum Mechanics [Spectral
geometry, spectral inversion, many-body problem, Dirac equation, Salpeter equation]
Doctoral Student: Qutaibeh Katatbeh
Selected recent publications: (Complete list of publications
at URL http://cicma.mathstat.concordia.ca/faculty/rhall/ref_hall.html#top)
- "Energy bounds for the spinless Salpeter equation: harmonic oscillator".
Richard L. Hall, Wolfgang Lucha, and Franz F. Schsberl J. Phys. A34, 5059-5064
(2001)
- "Generalized spiked harmonic oscillator". Richard L. Hall, Nasser
Saad, and Attila B. von Keviczky J. Phys. A34, 1169-1179 (2001).
- "General energy bounds for systems of bosons with soft cores".
Richard L. Hall, Phys. Rev. A62, 052510 (2000).
- "Spectral comparison theorem for the Dirac equation." Richard
L. Hall, Phys. Rev. Lett. 83, 468-471 (1999).
- "Positron tunnelling through the Coulomb barrier of superheavy nuclei."
Norman Dombey and Richard L. Hall, Phys. Lett. B474, 1-6 (2000).
• John Harnad
Affiliation:
Professor,
Department of Mathematics and Statistics
Concordia University
7146 Sherbrooke W.
Montreal, Qc H4B 1R6
Member, Centre de recherches mathématiques
Université de Montréal C.P. 6128,
Succ. centre-ville
Montréal, Qc H3C 3J7
Email: harnad@CRM.UMONTREAL.CA
Phone: (514) 343-2491
URL:
http://www.CRM.UMontreal.CA/~harnad
Areas of research: Mathematical physics (Gauge theory,
integrable systems, random matrices), differential geometric methods, group
theoretic methods
Graduate students: Oksana Yermolaeva, Dmitri Scherbin, Nathalie
Stievenart
Post doctoral fellows: Marco Bertola
Selected recent publications: (see: http://www.crm.umontreal.ca/~harnad/home.dir/publ.html
for a more complete list)
- J. Harnad and Alexandre Orlov, "Matrix integrals as Borel sums of Schur
function expansions" preprint CRM-2865 (2002), solv-int/0209035. To appear
in: Symmetries and Perturbation theory SPT2002, eds. S. Abenda and G. Gaeta,
(World Scientific, Singapore), 2002/3 (in press). nlin.SI/0209035
- J. Harnad, "On the Bilinear Equations for Fredholm Determinants Appearing
in Random Matrices", J. Nonlinear Math. Phys. 9, 530-550 (2002). solv-int/9906004
- M. Bertola, B. Eynard, J. Harnad, "Duality, Biorthogonal Polynomials and
Multi-Matrix Models",
Commun. Math. Phys. 229, 57-71 (2002) nlin.SI/0108049
- J. Harnad and Alexander R. Its, "Integrable Fredholm Operators and Dual
Isomonodromic Deformations",
Commun. Math. Phys. 226, 497-530 (2002). solv-int/9706002
- M. Bertola, B. Eynard, J. Harnad, "Partition functions for Matrix Models
and Isomonodromic Tau functions", J. Phys. A. Math, Gen. 6 (2003, in press).
nlin.SI/0204054
• Jacques Hurtubise
• Véronique Hussin
Affiliation:
Professeur titulaire,
Département de mathématiques et de Statistique,
Université de Montréal,
CP6128-Succursale Centre-Ville,
Montréal, Qc H3C 3J7
Email: hussin@dms.umontreal.ca
Phone: 514-343-7814
URL: http://www.dms.umontreal.ca/Professeurs/hussin/
Areas of research: physique mathématique,théorie
des groupes et algèbres de Lie, supersymétries
Selected recent publications: Voir
la page web
Graduate students: Nibaldo Alvarez (Ph.D.), Alexander Hariton (Ph.D.)
co-directeur: M. Grundland, Tamara Diaz-Chang (Ph. D., codirecteur S.T. Ali).
• Dmitri Jakobson
Affiliation:
Assistant Professor,
Department of Mathematics and Statistics
McGill University
Department of Mathematics and Statistics
805 Sherbrooke Street West
Montreal, Qc H3A2K6
Email: jakobson@math.mcgill.ca
Phone: (514)398-3828
Fax: (514)398-3899
Areas of research : Quantum Chaos, Spectral Geometry, Harmonic
Analysis.
Selected publications (on eigenfunctions etc):
- D. Jakobson. Quantum limits on flat tori, Annals of Mathematics, 145 (1997), 235-266. D. Jakobson. Equidistribution of cusp forms on PSL(2,Z)\PSL(2,R), Annales de l'Institut Fourier, 47(3) (1997), 967-984.
- D. Jakobson and S. Zelditch. Classical limits of eigenfunctions for some completely integrable systems, IMA Volumes in Mathematics and its Applications 109 (1999), 329-355.
- A. Gamburd, D. Jakobson and P. Sarnak. Spectra of elements in the group ring of SU(2), Jour. of Eur. Math. Soc. 1(1) (1999), 51-85.
- D. Jakobson and N. Nadirashvili. Eigenfunctions with few critical points, Jour. of Diff. Geom. 53(1) (1999), 177-182
- Collaborations: P.Sarnak (NYU), N. Nadirashvili (UChicago), I. Rivin (Temple), Z. Rudnick (Tel Aviv), A. Gamburd (Stanford), J. Toth (McGill), S. Zelditch (Johns Hopkins), S. Miller (Rutgers).
Affiliation:
Associate Professor of Mathematics,
Department of Mathematics and Statistics
McGill University
805 Sherbrooke Street West
Montreal, Qc H3A 2K6
• Niky Kamran
Affiliation:
Professor,
Dept. of Math.and Stat.,
McGill University,
805, Sherbrooke W.
Montreal, Qc H3A 2K6
- Email: nkamran@math.mcgill.ca
- Phone:514-398-3809
- Areas of research: Differential Geometry, Partial Differential
Equations, Mathematical Physics.
- Graduate students: Martin Caberlin, Deirdre Maher, Abdol- Reza
Mansouri.
- Postdocs: Sun Ho Wang, Luc Lapointe
- Web page: http://www.math.mcgill.ca/~nkamran/
- Selected recent publications:
- 1 752 438 Finster, Felix; Kamran, Niky; Smoller, Joel; Yau, "Shing-Tung Nonexistence of time-periodic solutions of the Dirac equation in an axisymmetric black hole geometry". Comm. Pure Appl. Math. 53 (2000), no. 7, 902--929. 83Cxx (35Qxx 58Jxx)
- 2001m:58078 Kamran, Niky; Milson, Robert; Olver, Peter J." Invariant modules and the reduction of nonlinear partial differential equations to dynamical systems". Adv. Math. 156 (2000), no. 2, 286--319. (Reviewer: Alexander V. Shapovalov) 58J70 (35A20 35G20 37K05)
- 99j:58227 Gonzlez-Lpez, Artemio; Kamran, Niky." The multidimensional Darboux transformation." J. Geom. Phys. 26 (1998), no. 3-4, 202--226. (Reviewer: Irina Yehorchenko) 58G35 (35A30)
- ] 98e:58183 Anderson, Ian M.; Kamran, Niky. "The variational bicomplex for hyperbolic second-order scalar partial differential equations in the plane." Duke Math. J. 87 (1997), no. 2, 265--319. 58H99 (35L70 58A20)
- 97k:58181 Kamran, Niky; Tenenblat, Keti." Laplace transformation in higher dimensions. Duke Math. J. 84 (1996), no. 1, 237--266. (Reviewer: Eugene Schlereth) 58G37 (35A22 35L10 44A10)
•Dimitri Korotkin
Affiliation:
Assistant Professor,
Dept. of Math. and Stat.
Concordia University
7141 Sherbrooke West
Montreal, Qc H4B 1R6
Email: korotkin@mathstat.concordia.ca
Phone:514-848-3245
Area of research: Mathematical physics
Graduate students: Vasilisa Shramchenko, Maxim Samsonov
•François Lalonde
Affiliation:
Professeur titulaire,
Département de mathématiques et statistique
Université de Montréal
C.P. 6128, Succ. Centre-ville
Montréal, Qc H3C 3J7
Email: lalonde@dms.umontreal.ca
Phone: (514) 343-6707 (jusqu'en
mars 2002: (33) 01 69 33 49 62 5)
Site Web: http://www.DMS.UMontreal.CA/Professeurs/lalonde/
Domaines de recherche: Topologie et géometrie symplectiques,
analyse globale sur les variétés,
groupes de transformations de dimension infinie.
Étudiants aux études avancées: Martin Pinsonnault,
Pierre-Paul Delisle, Frederic Rochon.
Postdocs: Ely Kerman (Ph.D. UC at Santa Cruz), Diego Matessi (Ph.D
Warwick), Iosif Polterovich (Ph.D. Weitzmann Institute).
Publications récentes:
- LALONDE, F. et McDUFF, D. Symplectic structures on fiber bundles, Topology, paartre. GATIEN, D. et LALONDE, F. (2000).
- Holomorphic cylinders with Lagrangian boundaries and periodic orbits of Hamiltonian systems, Duke Mathematical Journal,102, 485-511. LALONDE, F., McDUFF, D. et POLTEROVICH, L. (1999).
- Topological rigidity of Hamiltonian loops and quantum homology, Inventiones Mathematicae, 135, 369-185. LALONDE, F. et PESTIEAU, C. (1999).
- Stabilisation of symplectic inequalities and applications, in Amer. Math. Soc. Translations, Series 2, Volume 196, 63-72. LALONDE, F., McDUFF, D. et POLTEROVICH, L. (1998).
- On the Flux conjectures, in CRM Proceedings and Lecture Notes, American Mathematical Society, Volume 15, 69-86.
•Jean Letourneux
Affiliation:
Professeur Honoraire
Departement de Physique
Universite de Montreal
C.P 6128, Succursale Centre-Ville
Montreal, Qc H3C 3J7
Email: letourne@crm.umontreal.ca
Phone: (514) 343-2117
Areas of research: Physique mathématique, propriétés
de symétrie des systèmes, fonctions spéciales
Selected recent publications:
- R. Floreanini, J. LeTourneux et L. Vinet, "Symmetry Techniques for the Al-Salam-Chiara Polynomials", J. Phys. A30, 3107 (1997)
- R. Floreanini, J. LeTourneux et L. Vinet, "A q-deformed e(4) and Continuous q-Jacobi Polynomials", J. Math. Phys. 37, 4135 (1996)
- R. Floreanini, J. LeTourneux et L. Vinet, "An algebraic Interpretation of the Continuous Big q-Hermite Polynomials", J. Math. Phys. 36, 5091 (1995)
- R. Floreanini, J. LeTourneux et L. Vinet, "Quantum Mechanics and Polynomials of a Discrete Variable", Ann. Phys. 226, 331 (1993)
- R. Girard, J. LeTourneux et L. Vinet, "Effective Hamiltonian and Berry's Potentials for the Dipole-Quadrupole Interaction in Spherical Nuclei", Nucl. Phys. A512, 149 (1990)
•Pierre Mathieu
Affiliation:
Département de Physique
Université Laval
Québec, Qc G1K 7P4
Email: pmathieu@phy.ulaval.ca
Phone: (418) 656-3416 Fax
: (418) 656-2040
Areas of research: Conformal field theory, (supersymmetric)
classical and quantum integrable systems, affine Lie algebras.
Graduate students: P. Desrosiers, P. Jacob, S. Bourque,
Y. Xudous post-doctoral fellow J. Rasmussen
Selected recent publications:
- L. Bégin, C. Cummins, L. Lapointe and P. Mathieu, "Fusion bases as facets of polytopes", J. Math. Phys, to appear (hep-th/0108213).
- P. Jacob and P. Mathieu, "Parafermionic quasi-particle basis and fermionic-type characters", Nucl. Phys. B 260 (2002) 351-379.
- P. Jacob and P. Mathieu, "Single-channel correlators and the residue method", J. Phys. A 34 (2001) 10141-10158.
- P. Desrosiers, L. Lapointe and P. Mathieu , "Jack superpolynomials, superpartition ordering and determinantal formulas", submitted to Comm. Math. Phys. (hep-th/0105107).
- P. Desrosiers, L. Lapointe and P. Mathieu , " Supersymmetric Calogero-Moser-Sutherland models and Jack superpolynomials", Nucl. Phys. B606 (2001) 547-582.
All publications since 1991 are available on hep-th (http://xxx.lanl.gov/)
•Jiri Patera
Affiliation:
Département de mathématiques et de statistique
Université de Montréal
C.P. 6128 succursale Centre-ville
Montréal, Qc H3C 3J7
- Email : patera@crm.umontreal.ca
- Phone: 514-343-6419
- URL: http://www.CRM.UMontreal.CA/cgi/qui?patera
- Area of research: Mathematical physics.
- Research Associates: A. Atoyan (CRM) and Y. Marcoz (CRM and LUB)
- Graduate students: Claude Tremblay
- Post doctoral fellows: Zuzana Masakova, Igor Lutsenko, Steve Allen,
Noureddine Hambli, Armen Atoya, Louis-Sébastien Guimond
Selected recent publications:
- Z. Masakova, J. Patera, J. Zich, "Classification of distinct Voronoi
and Delone tiles in two-dimensional quasicrystals with circular acceptance
window of arbitrary size", 2002; accepted in J. Phys. A: Math. Gen.
- Z. Masakova, J. Patera, J. Zich, "Classification of distinct Voronoi
and Delone tiles in two-dimensional quasicrystals: General Method", 2002;
accepted in J. Phys. A: Math. Gen.
- J. Patera, E. Pelantova, M. Svobodova, "The eight fine gradings of
sl(4,C) and o(4,C)", J. Math. Phys. 43 (2002) 6353-6378
- L.S. Guimond, Jan Patera, Jiri Patera, "Statistics and implementation
of aperiodic pseudorandom number generators", Applied Numerical Mathematics,
special issue Applied Numerical Computing: Grid Generation and Solution Methods
for Advanced Simulations, accepted
- M. Bodner, C. Derr, X. Leng, J. Patera, M. Petterson, F. Ticheli, S. Vuong,
G. Shaw, "The Music-Math Connection", Early Childhood Connections
8 Number 3, (2002) 9-16
See web page for complete
list of publications
• Yvan Saint-Aubin
Affiliation:
Professeur
Département de mathématiques et de statistique
Université de Montréal
CP 6128, succ. centre-ville
Montréal, Qc H3C 3J7
• John Toth
Affiliation:
Dept. of Mathematics
McGill University
Burnside Hall
805 Sherbrooke St. W.
Montreal, Qc. H3A 2K6
- Email : toth@math.mcgill.ca
- Phone: (514) 398-3847
- URL: www.math.mcgill.ca/toth/
- Areas of research : Partial differential equations, mathematical
physics and spectral theory.
- Recent publications :
- John A. Toth, "On a class of spherical harmonics associated with rigid
body motion", Mathematics Research Letters, vol. 1, 1994, pp. 203-210.
- John A. Toth, "Various quantum mechanical aspects of quadratic forms",
Journal of Functional Analysis, vol. 130, 1995, pp. 1-42.
- John A. Toth, "Eigenfunction localization in the quantized rigid body",
Journal of Differential Geometry, vol. 43, 1996, pp. 844-858.
- John A. Toth, "Eigenfunction decay estimates in the quantum integrable
case", Duke Mathematical Journal, vol. 93 (2), 1998, pp. 231-255.
- John A. Toth, "On the small-scale mass concentration of modes",
Communications in Mathematical Physics, vol. 206, 1999, pp. 409-428.
Web Page: http://www.math.mcgill.ca/toth/
•Luc Vinet
•Pavel Winternitz
Affiliation:
Département de mathématiques et de statistique
Université de Montréal
C.P. 6128 succursale Centre-ville
Montréal, Qc H3C 3J7
Email : wintern@crm.umontreal.ca
Phone: 514-343-7271
URL: http://www.CRM.UMontreal.CA/cgi/qui?wintern
Areas of research: Mathematical physics, group theoretical methods
in physics, nonlinear phenomena, integrable systems, superintegrability
Graduate students: Simon Gravel (M.SC.), Josée Bérubé
(M.Sc), Catherine Cyr-Gagnon (M.Sc.)
Post doctoral fellows: David Gomez-Ullate, Alexei Penskoi, Piergiulio Tempesta, F. Valiquette, Alexandre Zhalij.
Selected recent publications:
- G.S. Pogosyan and P. Winternitz. Separation of variables and subgroup bases on n-dimensional hyperboloids. J.Math.Phys., 43(6), 3387-3410, 2002.
- D.Levi and P. Winternitz. Lie point symmetries and commuting flows for equations on lattices. J.Phys.A., 35(9):2249-2262, 2002.
- M.A. Rodriguez and P. Winternitz. Quantum superintegrability and exact solvability in n dimensions. J.Math.Phys., 43(3):1309-1322, 2002.
- E.G. Kalnins, J.Kress, and P.Winternitz. Superintegrability in a two-dimensional space of nonconstant curvature. J.Math Phys., 43(2):970-983, 2002.
- L. Martina, M.B. Sheftel, and P.Winternitz. Group foliation and noninvariant solutions of the heavenly equations. J.Phys.A., 34(43):9243-9263, 2001.
Attachés de recherche / Research Associates
Frédéric Lesage (CRM et DMS, UdeM), Tadashi Tokieda (DMA,
UdeM et UQAM), A. Atoyan (CRM), Y. Marcoz (CRM)
Postdoctoral Fellows / Boursiers postdoctoraux
• Alexei V. Penskoi
Affiliation:
Postdoctoral Fellow
Centre de recherches mathématiques
Université de Montréal
C.P.6128, Succ. Centre-ville
Montréal, Qc H3C 3J7
Email : penskoi@crm.umontreal.ca
Phone: (514) 343-6111, ext. 4070
Areas of research: Integrable systems, Applications of Lie groups
in differential equations.
- Selected recent publications:
- Penskoi, A. V. Canonically conjugate variables for the periodic Camassa-Holm equation. Preprint math-ph/0211048.
- Penskoi, A. V., Veselov, A. P. Discrete Lagrangian systems on the Virasoro group and Camassa-Holm family. Nonlinearity 16 (2003), no. 2, 683-688. Preprint math-ph/0209037.
- Penskoi, A. V. Lagrangian time-discretization of the Hunter-Saxton equation. Phys. Lett. A 304 (2002), no. 5-6, 157-167. Preprint math-ph/0201035.
- Penskoi, A. V. Ordinary differential equations with superposition formulae, II: Parabolic subgroups of the symplectic group. J. Phys. A 35 (2002), no. 2, 425-434.
- Oblomkov, A. A.; Penskoi, A. V. Two-dimensional algebro-geometric difference operators. J. Phys. A 33 (2000), no. 50, 9255-9264. MR 2002e:39056. Preprint math-ph/0010024.
David Gomez-Ullate
Affiliation:
CRM-ISM postdoctoral fellow (from September 1, 2002)
Centre de recherches mathématiques
Université de Montréal
C.P. 6128, succursale Centre-Ville
Montréal, Qc H3C 3J7
- E-mail : ullate@crm.umontreal.ca
- Phone : 1-514-343-6111, ext. 4068
- Areas of research : Symmetries of differential and difference
equations, many-body problems, mathematical biology. Ê
- Selected recent publications :
- "On the Sutherland spin model of Bn-type and its associated spin chain",
Commun. Math. Phys. (in print), hep-th/0202080 (2002) (with F. Finkel, A.
Gonz‡lez-L—pez, M.A. Rodr’guez, R. Zhdanov).
- "Bn-type Dunkl operatorsÊand related QES many-body Hamiltonians",
Nucl. Phys. B 613 (2001) 472-496 (with F. Finkel, A. Gonz‡lez-L—pez, M.A.
Rodr’guez, R. Zhdanov).
- "An-type Dunkl operators and new spin Calogero-Sutherland models",ÊCommun.
Math. Phys., 221 (2001) 477-497 (with F. Finkel, A. Gonz‡lez-L—pez, M.A. Rodr’guez,
R. Zhdanov).
- "Exact solutions of an elliptic Calogero-Sutherland model", Phys.
Lett. B 511 (2001) 112-118Ê (with A. Gonz‡lez-L—pez andÊM.A. Rodr’guez).
- "New algebraic many-body problems", J. Phys. A 33 (2000) 7305-7335
(with A. Gonz‡lez-L—pez andÊM.A. Rodr’guez).
•Jorgen Rasmussen
Affiliation:
CRM-ISM postdoctoral fellow (from 1 December 2001)
Centre recherches mathématiques
Universite de Montréal
Case postale 6128, succursale centre-ville
Montreal, Qc H3C 3J7
Email: rasmusse@crm.umontreal.ca
Phone: 1-514-343-6111, ext 4733
Areas of research: Conformal field theory, mathematical physics,
string theory
- Selected recent publications:
- Conformal blocks for admissible representations in SL(2) current algebra, Nucl. Phys. B 457 (1995) 309, hep-th/9504127 (with J.L. Petersen and M. Yu)
- Fusion, crossing and monodromy in conformal field theory based on SL(2) current algebra with fractional level, Nucl. Phys. B 481 (1996) 577, hep-th/9607129 (with J.L. Petersen and M. Yu)
- Free field realizations of affine current superalgebras, screening currents and primary fields, Nucl. Phys. B 510 (1998) 688, hep-th/9706091
- Three-point functions in conformal field theory with affine Lie group symmetry, Int. J. Mod. Phys. A 14 (1999) 1225, hep-th/9807153
- Negative screenings in conformal field theory and 2D gravity: the braiding matrix, Nucl. Phys. B 574 (2000) 525, hep-th9904141 (with J. Schnittger)
•Piergiulio
Tempesta
Affiliation:
CRM-ISM Postdoctoral fellow
Centre de Recherches Mathematiques
Université de Montréal
C.P. 6128 succursale centre-ville
Montreal, Qc H3C 3J7
E-mail: tempesta@CRM.UMontreal.ca
Phone: 1-514-343-6111 ext 4735
Areas of research: Mathematical Physics, Lie group theory and differential
equations, nonlinear integrable systems, superintegrability.
- Selected recent publications:
- P. Tempesta, A.V. Turbiner and P. Winternitz, Exact Solvability of Superintegrable Systems, J. Math. Phys. 42 (9), 4248-4257 (2001)
- M. B. Sheftel, P. Tempesta and P. Winternitz, Superintegrable Systems in Quantum Mechanics and Classical Lie theory, J. Math. Phys. 42 (2) 659-673 (2001)
- V. Grassi, R.A. Leo, G. Soliani and P. Tempesta, A group analysis of the 2D Navier-Stokes-Fourier equations, Physica A 293, 421-434 (2001)
- M. Leo, R.A. Leo, G. Soliani and P. Tempesta, On the relation between Lie Symmetries and Prolongation structures: Non-Local Symmetries, Progr. Theor. Phys., 105 (1) 77-97 (2001)
- V. Grassi, R.A. Leo, G. Soliani and P. Tempesta, Vortices and Invariant Surfaces for the 3D Navier-Stokes equations, Physica A, 286, 79-108 (2000)
Visiting researchers / Chercheurs invités
•Bertrand Eynard
Affiliation:
Physicien, Service de Physique Théorique de Saclay,
CEA SPhT,
CEA Saclay, 91191
Gif sur Yvette, France
tel: (33) 1 69 08 41 20, fax: (33) 1 69 08 81 20
Chercheur invité
CRM Centre de recherches mathématiques,
Université de Montréal,
Case postale 6128, succursale centre-ville
Montréal (Québec) H3C 3J7
Email: eynard@spht.saclay.cea.fr
eynard@CRM.UMontreal.ca
Phone: (1 514) 343 6111, 4073 fax: (1 514) 343
Areas of research: Random matrices, random geometries (random discreted
surfaces), integrable systems, quantum gravity, universal statistical laws.
Selected publications:
- Duality, Bi-orthogonal Polynomials and Multi-Matrix Models. (M. Bertola, B.E., J. Harnad), 35 pages, SPHT 01/047, CRM-2749 , xxx, nlin.SI/0108049
- An introduction to random matrix theory. (B.E.) , 120 pages, SPHT 01/014, CRM 2708, http://www-spht.cea.fr/articles/t01/014/.
- Asymptotics of skew orthogonal polynomials. (B.E.) , 17 pages, SPHT 00/170, CRM 2698 , Accepted in J. Phys A, xxx, cond-mat/0012046.
- Breakdown of Universality in multi-cut matrix models. (G. Bonnet, F. David, B.E.) , 35 pages, SPHT 00/36 , J. Phys A33 (2000) 6739, xxx, cond-mat/0003324.
- The Potts-q random matrix model: loop equations, critical exponents, and rational case. (G. Bonnet, B.E.) , 7 pages, SPHT 99/060 , Phys. Let. B 463 (1999) 273, xxx, hep-th/9906130.
•Decio Levi
Affiliation:
Dipartimento di fisica "E. Amaldi",
Universita Roma
Tre Via della Vasca Navale,
84 00146 Roma Italy
Fax: +39065579303
Email:
levi@amaldi.fis.uniroma3.it
levid@crm.umontreal.ca
Phone: +390655177034 tel: (+1) 514 343-6111 - ext. 4741
Areas of research: Mathematical physics, nonlinear integrable systems,
symmetries, physical applications of nonlinear systems
Selected Recent Publications
- "Lie Symmetries of Multidimensional Difference Equations", J.
Phys. A: Math. Gen. 34 (2001) 9507-9524, in collaboration with S. Tremblay
and P. Winternitz.
- "On the integrability of a new discrete nonlinear Schrodinger equation",
J. Phys. A: Math. Gen. 34 (2001) L553-L562, in collaboration with R. Yamilov.
- "Integrable Hierarchies of Nonlinear Difference Equations and Symmetries",
J. Phys. A: Math. Gen.34 (2001), in collaboration with L. Martina.
- "Discrete third-order spectral problems and a new Toda-type equation",
J. Phys. A: Math. Gen. 35 (2002) L67-L73, in collaboration with M. Grundland.
- "Transversal perturbation of longitudinal soliton modes on a Free Electron
Laser", in collaboration with G. Dattoli and M. Mattioli, Phys. Lett.
A. in press.
•Luis Miguel Nieto
Affiliation:
Profesor Titular
Departamento de Fisica Teorica
Facultad de Ciencias
Universidad de Valladolid
47005 Valladolid, Spain
Fax: +34 983 42 30 13
Email: luismixxx@metodos.fam.cie.uva.es
Phone: (514)-343-6111 poste 4728 (Univ. de Montréal)
URL:
http://metodos.fam.cie.uva.es/~luismi/
Areas of research: Mathematical physics, supersymmetry
in quantum mechanics, mathematical methods applied in atomic physics.
Ph.D. student : Monica Gomez (M.Sc), Jose-Ignacio
Martinez (M.Sc.), Maria Ridruejo (M.Sc.)
Selected Publications:
- N.H. March and L.M. Nieto, ``Functional differentiation, line integration and departures from homogeneity of the single-particle kinetic energy functional for one-dimensional systems of N Fermions'', J. Math. Phys. 42, 3361--3371 (2001).
- N.H. March and L.M. Nieto, ``Some specific solutions of a generalized Emden equation, embracing Thomas-Fermi-like theories'', J. Phys. A 34, L341--L345 (2001).
- F.J. Herranz, A. Ballesteros,J. Negro, and L.M. Nieto ``A Quantum Algebra Approach to Discrete Equations on Uniform Lattices'', Czech. J. Phys. 51, 321--330 (2001).
- N.H. March and L.M. Nieto, ``Analytical relations between kinetic-energy and particle densities for one-dimensional harmonically confined Fermi vapors'', Phys. Rev. A 63, 044502 (2001).
- N.H. March, L.M. Nieto, and M.P. Tosi, ``Momentum distribution of harmonically confined Fermions'', Physica B: Condensed Matter 293, 308--316 (2001).
•Aleksander Strasburger
Affiliation:
Professor, Institute of Mathematics
and
CRM visitor
University of Bialystok,
Akademicka 2,
15-267 Bialystok, Poland
Email: alekstra@math.uwb.edu.pl
strasbur@CRM.UMontreal.CA
Phone: (514)-343-6111 poste 1-4741
URL:
http://www.fuw.edu.pl/~alekstra/
Areas of research: Harmonic analysis, mathematical
physics, theory of special functions.
Ph.D. student : Ewa Gnatowska (Dept. Mathematical
Methods of Physics, Faculty of Physics, University of Warsaw)
Selected Publications:
- Gnatowska, Ewa, Strasburger, Aleksander; The Weyl Algebra, Spherical Harmonics, and Hahn Polynomials, Banach Center Publications, Warsaw, 2001 (to appear), (availlable as: math-ph/0110006)
- Strasburger, Aleksander;On algebras of creation and annihilation operators. Algebraic methods and $q$-special functions (Montréal, QC, 1996), 267--276, CRM Proc. Lecture Notes, 22, Amer. Math. Soc., Providence, RI, 1999.
- Strasburger, Aleksander, Or\l owski, A., and Kus, M.; An Integral Construction of Tensor Operators for Compact Groups, pp. 335-339 in: "Group 22: Proceedings of the XXII International Colloquium on Group Theoretical Methods in Physics", S.P. Corney, R. Delbourgo and P.D. Jarvis, eds, International Press, Cambridge, MA: 1999.
- Strasburger, Aleksander; Class Operators as Intertwining Maps into the Group Algebra, pp. 92--106 in: "Lie theory and its applications in physics", H.-D. Doebner, V. K. Dobrev and J. Hilgert, eds, World Sci., Singapore, 1998. (Also available as: math.GR/9802109)
- Strasburger, Aleksander;Weyl algebra and a realization of the unitary symmetry. Rend. Circ. Mat. Palermo (2) Suppl. No. 54 (1998), 101--111. (Proceedings of the 17th Winter School "Geometry and Physics", Srn, 1997)
Postgraduate Students / Étudiants
gradués
Nibaldo Alvarez (Hussin), Louis-Pierre Arguin, Hassan Aurag (Saint-Aubin), Josée Bérubé (Winternitz), S. Bourque (Mathieu), Martin Caberlin, Tamara D. Chang (Hussin, Ali), A. Chevrette (Lalonde), C. Cyr-Gagnon (Winternitz), P. Desrosiers (Mathieu), R. Detula, Ewa Gnatowska, Simon Gravel (Winternitz), Alexander Hariton (Hussin, Grundland), P. Jacob (Mathieu), Qutaibeh Katatbeh (Hall), Deirdre Maher, Olivier Major, Abdol-Reza Mansouri, Yves Marcoz, P. Picard (Grundland), Martin Pinsonnault (Lalonde) , K. T. Frederic Rochon, Maxim Samsonov (Korotkin), Santhar (Ali), Vasilisa Shramchenko (Korotkin), Dmitri Scherbin (Harnad), Nathalie Stievenart (Harnad), Claude Tremblay (Jj. Patera), F. Valiquette (Winternitz), Y. Xudous (Mathieu), Oksana Yermolaeva (Harnad).
Last modified / Mise à jour
July 22 juillet 2003
webmestre@CRM.UMontreal.CA