•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).

•Affiliation:

Associate Professor of Mathematics,
Department of Mathematics and Statistics
McGill University
805 Sherbrooke Street West
Montreal, Qc H3A 2K6

• Email: jaksic@math.mcgill.ca
• Phone :  514-398-3827         Fax: 514-398-3899
• URL: www.math.mcgill.ca/jaksic
• Areas of research: Mathematical physics, quantum statistical mechanics, random Schrodinger operators
  
• Graduate Students: Philippe Poulin, Tobin Marchand
• Visitors: Calude-Alain Pillet, jan Derezinski, Luc Rey Bellet.
• Complete list of publications: http://www.math.mcgill.ca/jaksic/Papers.html
  

• 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 Gonz‡lez-L—pez, 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)  

•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

• Email: saint@crm.umontreal.ca
• Phone:( 512)343-6373
• URL: http://www.dms.umontreal.ca/Professeurs/saint/
• Areas of research : théorie conforme des champs, mécanique statistique, modèle de transition de phase en deux dimensions
• Graduate students : Hassan Aurag, Louis-Pierre Arguin
• Attaché de recherche : Frédéric Lesage
  
  •Selected recent publications: http://www.dms.umontreal.ca/Professeurs/saint/
  

• 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.
   

• 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)
  

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)
  

•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).