1. Some Finite Dimensional Integrable Systems and Their Scattering Behavior, Commun. Math. Phys., 55, p. 195-230 (1977).
2. Some Finite Dimensional Integrable Systems, Rocky Mountain Journal of Math., Vol. 8, No. 1,2, 237-243, (1978).
3. On a Class of Polynomials Connected with the Korteweg-deVries Equation (with J. Moser), Commun. Math. Phys., 61, 1-30 (1978).
4. Some Algebraic Relations Common to a Set of Integrable Partial and Ordinary Differential Equations, M.R.C. Technical Summary Report #1801 (1978).
5. Completely Integrable Systems and Symplectic Actions, Jour. Math. Phys. 20 (1) 60-67, (1979).
6. On a Trace Functional for Formal Pseudo-Differential Operators and the Symplectic Structure of the Korteweg-deVries Equations, Invent. Math. 50, 219-248 (1979).
7. On a Trace Functional in Formal Pseudo-Differential Operators and the Hamiltonian Structure of the Korteweg-deVries Type Equations, Lecture Notes in Math. No. 755, 1-8, (1980).
8. Completely Integrable Systems, Affine Lie Algebras and Algebraic Curves (with P. van Moerbeke), Adv. in Math. 38, 267-317, (1980).
9. Linearization of Hamiltonian Systems, Jacobi Varieties and Representation Theory (with P. van Moerbeke), Adv. in Math 38, 318-379, (1980).
10. On the Backlund Transformation for the Gel'fand Dickey Equations, Commun. Math. Phys. 80, 517-527, (1981).
11. Kowalewski's Asymptotic Method, Kac-Moody Lie Algebras and Regularization (with P. van Moerbeke), Commun. of Math. Phys. 83, 83-106, (1982).
12. The Algebraic Integrability of Geodesic Flow on S0(4) (with P. van Moerbeke), Invent. Math. 67, 297-32 (1982).
13. Intersection of Quadrics in P6 (with P. van Moerbeke), Proceeding of the National Academy of Sciences, U.S.A.81, 4613-4616 (1984).
14. A New Geodesic Flow on SO(4) (with P. van Moerbeke), Probability, Statistical Mechanics and Number Theory, Adv. in Math. Suppl. Study., Vol. 9, 81-96, (1986).
15. The Intersection of Four Quadrics in P6, Abelian Surfaces and the Moduli (with P. van Moerbeke), Math. Ann. 279, 25-85, (1987).
16. The Kowalewski and Henon-Heiles motions as Manakov Geodesic Flows on S0(4) - a 2 dimensional family of Lax Pairs (with P. van Moerbeke), Commun. Math. Phys. 113, 659-700, (1988).
17. The Complex Geometry of the Kowalewski-Painlevé Analysis (with P. van Moerbeke), Invent. Math. 97, 3-51, (1988).
18. Some Geometrical Techniques in Integrable Systems, Proceedings of Symposia in Pure Mathematics, Vol. 49, Park 1, 69-86, (1989).
19. Painleve Solutions and Algebraic Complete Integrability, Analysis, et cetera, 1-37, edited by P. Rabinowitz and E. Zehnder, Academic Press, (1990).
20. The Toda Lattice, Dynkin Diagrams, singularities and Abelian varieties (with P. van Moerbeke), Invent. Math. 103, 223-278 (1991).
21. Toda Lattices, spectral theory and period flags in loop groups (with L. Haine and P. van Moerbeke), Math. Ann. 296, 25-56 (1992).
22. Birkhoff Strata, Backlund Transformations, and Regularization of Isospectral Operators (with P. van Moerbeke), Adv. of Math., Vol. 108, No. 1, 140204, (1994).
23. A matrix Integral Solution to two-dimensional Wp gravity (with P. van Moerbeke), Commun. Math. Phys. 147, 25-56, (1992).
24. Compatible Poisson Structures and the Virasoro Algebra (with P. van Moerbeke), Commun. Pure and Applied Math., Vol. 47, 5-37 (1994).
25. From the w -algebra to its central extension: a tau- function approach (with P. van Moerbeke and T. Shiota), Phys. Lett. A 194, 33-43 (1994).
26. Random Matrices and the Vertex Operator (with P. van Moerbeke and T. Shiota) to appear in Annals of Math. (1996).
27. M. Adler, T. Shiota, P. van Moerbeke, A Lax Representation for the Vertex Operator and the Central Extension, Commun. Math. Phys. 171, 547-588 (1995).
28. M. Adler, T. Shiota, P. van Moerbeke, Random Matrices, vertex operators and the Virasoro algebra, Physics Letters A 208 (1995) 67-78.
29. M. Adler and P. van Moerbeke, Matrix Integrals, Toda Symmetries, Virosoro Constraints, and Orthogonal Polynomials, Duke Mathematical Journal (1995) Vol. 80, No.3, 863-911.
30. M. Adler, A Morozov, T. Shiota, P. van Moerbeke, A Matrix integral solution to [P,Q] = P and matrix Laplace transforms, Commun. Math. Physics 180, 233-263 (1996).
31. M. Adler, T. Shiota, P. van Moerbeke, Random Matrices, vertex operators and the Virosoro Algebra, Duke Math. Journal, Vol. 94 (19) 1-52 (1998).
32. M. Adler, P. van Moerbeke, Group Factorization, Moment matrices and Toda lattices, Int. Math. Research Notices, No. 12, 556-572 (1997).
33. M. Adler, E. Horozov and P. van Moerbeke, The Solution to the q-kdv equation, Phys. Letters, L (1998).
34. M. Adler, P. van Moerbeke, Toda-Darboux Maps and Vertex Operatiors, Int. Math. Research Notices, No. 10, 490-511 (1998).
35. M. Adler, P. van Moerbeke, Vertex Operator Solutions to the Discrete KP-Hierarchy, Commun. Math Physics, 203, 241-290 (1999).
36. M. Adler, P. van Moerbeke, Generalized Orthogonal Polynomials, Discrete KP and Riemann-Hilbert Problems, Commun. Math Physics, 207, 589-620, (1999).
37. M. Adler, P. Van Moerbeke, The Spectrum of Coupled Random Matrices, Annals of Math., 149, 921-976 (1999)
38. M. Adler, P. van Moerbeke, Darbox Transforming Weights: an Addition
Formula for Moment Matrices, to appear J. of Approximation Theory (2000).
39. M. Adler, P. van Moerbeke, Darboux transforms on band matrices,
to appear Acta. Math (2000).
40. M. Adler, P. van Moerbeke, Symmetric Random matrices and the Pfaffian Toda lattice, to appear in Annal. of Math., May (2000)
41. M. Adler, E. Horozov, P. van Moerbeke, The Pfaff Lattice and Skew-orthogonal polynomials, Int. Math. Research Notices, No. 11, 569-588 (1999)
42. M. Adler, T. Shiota, P. van Moerbeke, Pfaffian t-functions, to appear, Math. Ann. (2000
43. M. Adler, P. van Moerbeke, The Pfaff Lattice, Matrix integrals and a map from toda to Pfaff, to appear in Duke Math. Journal (2000)
44. M. Adler, P. van Moerbeke, Integrals over Classical Groups, Random
Permutations, Toda and Toeplitz Lattices, to appear C.P.A.M. (2000)