Laboratoire de Physique Mathématique Membres Professeurs permanents

**Marco Bertola (Concordia)**

Affiliation:

Assistant Professor,

Concordia University,

Dept. of Math. and Stat.

HB 327, 7141 Sherbrooke W.

Contact information:

Email: bertola@crm.umontreal.ca

Phone: (514) 848-2424 Ext. 3228

Areas of research:

Random matrix models, axiomatic quantum field theory, differential geometry, invariant theory for discrete groups.

Graduate students:

Maciej Babinski (PhD, jointly with S.T. Ali)

Yulia Klochko (PhD starting January)

Postdoctoral fellows:

G. Pusztai (jointly with J. Harnad ad D. Korotkin)

Research Associates:

Visiting researchers:

Bertrand Eynard (Saclay) 2 - 12 fév., 1 - 15 avr. 2004

Andrey Kapaev (St. Petersburg) 30 jan. - 30 mars, 2004

Selected recent publications:

M. Bertola, B. Eynard, "

The PDEs biorthogonal polynomials arising in the Two-Matrix Model", nlin. SI/0208002.M. Bertola, "

Second and Third order observables of the Two-Matrix Model", to appear in J. High Energy Phys., hep-th/0309192.M. Bertola, "

Free Energy of the Two-Matrix Model, dToda Tau-Function", Nucl. Phys. B 669 [FS] (2003), 435-461.M. Bertola, J. Harnad, B. Eynard, "

Differential systems for biorthogonal polynomials appearing in 2-matrix models and the associated Riemann--Hilbert problem", nlin.SI/0208002, to appear in Comm. Math. Phys.M. Bertola, "

Bilinear semi-classical moment functionals and their integral representation", J. App. Th. (2003) 71-99.M. Bertola, B. Eynard, J. Harnad, "

Duality, Biorthogonal Polynomials and Multi-Matrix Models", Commun. Math. Phys. (2002) 1, 73-120.M. Bertola, B. Eynard "

Mixed Correlation Functions of the Two-Matrix Model", J.Phys. A36 (2003) 7733-7750.