Curriculum Vitae

Academic Career

• 1967 B.S. Georgia Tech

• 1970 PhD. MIT

• 1970-72 Postdoctoral Fellow, Carnegie-Mellon University

• 1972-2021 The University of Arizona

• 1978-79 Visiting Professor, Clarkson University

• 1980-81 Visiting Professor, Research. Institute for. Mathematical Sciences, Kyoto, Japan

• 2002 Visiting Scholar, Ecole Polytechnique Federale de Lausanne, Switzerland

Students/Date of Degree

• Pantelis Damianou 1989

• Mohamed El-Hadrami 1996

• Luis Garcia-Naranjo 2007

• Erin McNicholas 2006

• Randolph Schilling 1982

• Francisco Solis 1993

• Adam Spiegler 2006

• Bole Yang 2013

• Maorang Zou 1992

Lecture Series (at)

• Rocky Mountain Mathematics Consortium Summer School, Laramie, WY

• South American Winter School in Physics, Santiago, Chile

• University of Science and Technology of China

• Centre Internationale de Recherches Mathematique, Luminy, France

• CIMPA. Summer School, Nice

• Jerusalem Winter School of Physics

• Ecole Polytechnique Federale de Lausanne

Publications

Defining a trend for time series using the intrinsic time-scale decomposition

Restrepo, J. M., Venkataramani, S., Comeau, D. & Flaschka, H.,, Aug 2014, In: New Journal of Physics. 16, 085004.

Bending flows for sums of rank one matrices

Flaschka, H. & Millson, J., Feb 2005, In: Canadian Journal of Mathematics. 57, 1, p. 114-158

Maximal Tori of some symplectomorphism groups, and applications to convexity

Flaschka, H., Bloch, A. M., El-Hadrami, M., & Ratiu, T., 1997, in Deformation Theory and Geometry, Mathematical Physics Studies 20, Kluwer Academic Publ. p. 201-222

A Convexity Theorem for Poisson Actions of Compact Lie Groups

Flaschka, H. & Ratiu, T., 1996, Ann. Scient. Ec. Norm. Sup. 4^o serie, T.29, p. 787-809

A Schur-Horn-Kostant convexity theorem for the diffeomorphism group of the annulus

Bloch, A. M., Flaschka, H.,. & Ratiu, T., Dec 1993, In: Inventiones Mathematicae. 113, 1, p. 511-529

The geometry of the full Toda Lattice

Ercolani, N.M., Flaschka, H., and Singer, S., 1993, Progress in Mathemartics, 115, p. 81-114

Painleve balances and dressing transformations

Ercolani, N.M., Flaschka, H. and Haine, L., 1991, in Painleve Transcendents, NATO ASI Series B 278, Plenum Press, p. 249 - 260

Torus orbits in G/P

Flaschka, H. & Haine, L., Jun 1991, In: Pacific Journal of Mathematics. 149, 2, p. 251-292

Variétés de drapeaux et réseaux de Toda

Flaschka, H & Haine, L., Dec 1 1991, In: Mathematische Zeitschrift. 208, 1, p. 545-556

A convexity theorem for isospectral manifolds of jacobi matrices in a compact lie algebra

Bloch, A. M., Flaschka, H & Ratiu, T., 1990, In: Duke Mathematical Journal. 61, 1, p. 41-65

A remark on integrable Hamiltonian systems

Flaschka, H, Sep 12 1988, In: Physics Letters A. 131, 9, p. 505-508

The geometry of the Hill equation and of the Neumann system

Ercolani, N.M. & Flaschka, H., 1985, Philosophical Transactions of the Royal Society of London A, 315, p. 405-422

Towards an algebro-geometric interpretation of the neumann system

Flaschka, H, Sep 1984, In: Tohoku Mathematical Journal. 36, 3, p. 407-426

Construction of conservation laws for lax equations: Comments on a paper by G. Wilson

Flaschka, H, Mar 1983, In: Quarterly Journal of Mathematics. 34, 1, p. 61-65

Kac-moody lie algebras and soliton equations. II. Lax equations associated with A₁⁽¹⁾

Flaschka, H., Newell, A.C. & Ratiu, T., Dec 1983, In: Physica D: Nonlinear Phenomena. 9, 3, p. 300-323

Kac-moody lie algebras and soliton equations. III. Stationary equations associated with A₁⁽¹⁾

Flaschka, H., Newell, A.C. & Ratiu, T., Dec 1983, In: Physica D: Nonlinear Phenomena. 9, 3, p. 324-332

Nonlinear normal modes for the Toda Chain

Ferguson, W. E., Flaschka, H & McLaughlin, D. W., Feb 1982, In: Journal of Computational Physics. 45, 2, p. 157-209

The inverse monodromy transform is a canonical transformation

Flaschka, H. & Newell, A.C., Jan 1 1982, In: North-Holland Mathematics Studies. 61, C, p. 65-89

Relations between infinite and finite dimensional isospectral equations

Flaschka, H., 1981, in Proceedings of the RIMS Symposium on Nonlinear Integrable Systems--Classical Theory and Quantum Theory, World Science Publ. Co.

Multiphase similarity solutions of integrable evolution equations

Flaschka, H. & Newell, A.C., Jul 1981, In: Physica D: Nonlinear Phenomena. 3, 1-2, p. 203-221

Shocks in the Toda Lattice: Analysis

Flaschka, H., Holian, B.L., & McLaughlin, D.W., 1981, Phys. Rev. A24, p. 2595-2623

Monodromy- and spectrum-preserving deformations I

Flaschka, H. & Newell, A.C., Feb 1 1980, In: Communications in Mathematical Physics. 76, 1, p. 65-116

Multiphase averaging and the inverse spectral solution of the Korteweg—de Vries equation

Flaschka, H, Forest, M. G. & McLaughlin, D. W., 1980, In: Communications on Pure and Applied Mathematics. 33, 6, p. 739-784

A commutator representation of Painlevé equations

Flaschka, H, 1979, In: Journal of Mathematical Physics. 21, 5, p. 1016-1018

On semigroups of nonlinear operators and the solution of the functional differential equation x ̇(t) = F(x_t)

Flaschka, H. & Leitman, M. J., Mar 1975, In: Journal of Mathematical Analysis and Applications. 49, 3, p. 649-658

On the inverse problem for Hill's operator

Flaschka, H., Dec 1 1975, In: Archive for Rational Mechanics and Analysis. 59, 4, p. 293-309

The Toda lattice. II. Existence of integrals

Flaschka, H., Jan 1 1974, In: Physical Review B. 9, 4, p. 1924-1925

An asymptotic property of the roots of polynomials

Flaschka, H., Mar 1971, In: Proceedings of the American Mathematical Society. 27, 3, p. 451-456

The correctness of the Cauchy problem

Flaschka, H. & Strang, G., Jun 1971, In: Advances in Mathematics. 6, 3, p. 347-379