A ``general audience'' seminar on asymptotics of zeroes of polynomials (open with Acrobat Reader version 7 or later to see the animations)

M. Bertola, M. Gekhtman, J. Szmigielski, “Cubic String Boundary Value Problems and Cauchy Biorthogonal Polynomials”, arXiv:0904.2188.

M. Bertola, M. Gekhtman, J. Szmigielski, “Cauchy Biorthogonal Polynomials”, arXiv:0904.2602.

M. Bertola, S. Y. Lee, M. Y. Mo, “Mesoscopic colonization of a spectral band”, arXiv:0904.1171.

M. Bertola, A. Prats-Ferrer, “Topological Expansion for the Cauchy Matrix-Model”, arXiv:0903.2512.

M. Bertola, “The dependence of the monodromy data of the isomonodromic tau function”, arXiv:0902.4716.

M. Bertola, “Moment determinants as isomonodromic tau functions”, arXiv:0805.0446, Nonlinearity, 22(2009), no. 1, 29-50.

M. Bertola, O. Marchal, “The partition function of the two—matrix model as an isomonodromic tau—function”, Journal of Mathematical Physics, 50(2009), no. 1, 013529, 17pp.

M. Bertola, S. Y. Lee, “First colonization of a hard-edge in random matrix theory”, Constructive Approximation, in press (2009).

M. Bertola, M. Gekhtman, J. Szmigielski, “The Cauchy two—matrix model”, Communications in Mathematical Physics, 287 (2009), no. 3, 983-1014.

F. Balogh, M. Bertola, “Regularity of a vector potential problem and its spectral curve”, Journal of Approximation Theory, in press (2009).

M. Bertola, A. Prats-Ferrer, “Harish-Chandra integrals as nilpotent integrals”, Int. Math. Res. Not. IMRN 2008, no.16, Art. ID rnn062, 15pp.

M. Bertola, M. Gekhtman, J. Szmigielski, “Peakons and Cauchy Biorthogonal Polynomials”, arXiv:0711.4082, submitted.

M. Bertola, S. Y. Lee, “First Colonization of a Spectral Outpost in Random Matrix Theory”, Constructive Approximation DOI:10.1007/s00365-008-9026-y, in press.

M. Bertola, “Boutroux curves with external field: equilibrium measures without a variational problem”, arXiv:0705.3062, submitted (open with Acrobat Reader 7 or later to see the animations.)

M. Bertola, M. Gekhtman, “Effective inverse spectral problem for rational Lax matrices and applications”, International Mathematical Research Notices (IMRN), 2007 Volume 2007: article ID rnm103, 39 pages DOI:10.1093/imrn/rnm103

M. Bertola, M. Y. Mo, “Commuting difference operators, spinor bundles and the asymptotics of orthogonal polynomials with respect to varying complex weights”, Advances in Mathematics 220 (2009), pp. 154-218 DOI:10.1016/j.aim.2008.09.001

M. Bertola, M. Gekhtman,  "Biorthogonal Laurent polynomials, Toeplitz determinants, minimal Toda orbits and isomonodromic tau functions", Constructive Approximation (2007) OF1-OF48, DOI:10.1007/s00365-006-0656-1

M. Bertola, “Biorthogonal polynomials for two-matrix models with semiclassical potentials.” J. Approx. Theory 144 (2007), no. 2, 162—212.

M. Bertola, “Two-matrix model with semiclassical potentials and extended Whitham hierarchy”, J. Phys. A 39 (2006), no. 28, 8823—8855.

M. Bertola, B. Eynard, J. Harnad, "Semiclassical orthogonal polynomials, matrix models and isomonodromic tau functions", Communications in Mathematical Physics (2006), Vol. 263, Issue 2, pp. 401-437, DOI:10.1007/s00220-005-1505-4

M. Bertola, M. Y. Mo, "Isomonodromic deformation of resonant rational connections", International Mathematical Research Papers (IMRP) Volume 2005 (2005) Issue 11, pag. 565-635, DOI:10.1155/IMRP.2005.565

M. Bertola, ``Bilinear semiclassical moment functionals and their integral representation''   J. Approx. Theory  121  (2003),  no. 1, 71-99, DOI:10.1016/S0021-9045(02)00044-8

M. Bertola, “Second and third order observables of the two—matrix model.”, J. High Energy Phys. 2003, no. 11, 062, 30 pp. (electronic).

M. Bertola, B. Eynard, J. Harnad, “Differential systems for biorthogonal polynomials appearing in 2—matrix models and the associated Riemann—Hilbert problem”, Comm. Math. Phys. 243 (2003), no. 2, 193—240.

M. Bertola, B. Eynard, J. Harnad, “Duality, biorthogonal polynomials and multi—matrix models”, Comm. Math. Phys. 229 (2002), no. 1, 73—120.

M. Bertola, ``Free Energy of the two-matrix model/dToda  tau-function'', Nucl. Phys B 669, no. 3 435-461 (2003).

M. Bertola, B. Eynard, J. Harnad, ``The duality of spectral curves that arises in two-matrix models'', Theor. Math. Phys.  134 (2003), no. 1, 27-38

M. Bertola, J. Bros, V. Gorini, U. Moschella, R. Schaeffer, ``Decomposing Quantum Fields on Branes'', Nuclear Phys. B  581 (2000), 575-603