Barbara A. Shipman

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All published works

Action	Title	Year	Authors
+	Topological Explorations on the Fundamental Theorem of Arithmetic	2023	Matthew R. Phillips Kayla Robb Barbara A. Shipman
+	Capstone Studies for Math Majors via Complex and Hyperbolic Numbers	2022	Rachid Atmai Curtis Kizer-Pugh Barbara A. Shipman
+	Weierstrass representations for triply orthogonal and conformal Euclidean and Lorentzian systems	2020	Barbara A. Shipman Patrick D. Shipman
+ PDF Chat	Fifty years of the finite nonperiodic Toda lattice: a geometric and topological viewpoint	2018	Yuji Kodama Barbara A. Shipman
+	Lorentz-conformal transformations in the plane	2016	Barbara A. Shipman Patrick D. Shipman Stephen P. Shipman
+	Lorentz-Conformal Transformations in the Plane	2013	Barbara A. Shipman Patrick D. Shipman Stephen P. Shipman
+	Convergence and the Cauchy Property of Sequences in the Setting of Actual Infinity	2013	Barbara A. Shipman
+	Simple yet Hidden Counterexamples in Undergraduate Real Analysis	2013	Barbara A. Shipman Patrick D. Shipman
+	Lorentz-Conformal Transformations in the Plane	2013	Barbara A. Shipman Patrick D. Shipman Stephen P. Shipman
+	Limits of Infinite Processes for Liberal Arts Majors: Two Classic Examples	2012	Theresa A. Jorgensen Barbara A. Shipman
+	Empowering Student Learning in Mathematical Analysis	2009	Barbara A. Shipman James Anthony Mendoza Epperson
+	The Finite Non-periodic Toda Lattice: A Geometric and Topological Viewpoint	2008	Yuji Kodama Barbara A. Shipman
+	On the connectedness of a centralizer	2006	Barbara A. Shipman
+	A UNIPOTENT GROUP ACTION ON A FLAG MANIFOLD AND "GAP SEQUENCES" OF PERMUTATIONS	2003	Barbara A. Shipman
+	Compactified isospectral sets of complex tridiagonal Hessenberg matrices	2003	Barbara A. Shipman
+	ON THE FIXED-POINT SETS OF TORUS ACTIONS ON FLAG MANIFOLDS	2002	Barbara A. Shipman
+	Nongeneric flows in the full Kostant-Toda lattice	2002	Barbara A. Shipman
+	On the fixed points of the Toda hierarchy	2001	Barbara A. Shipman
+	The geometry of the full Kostant–Toda lattice of	2000	Barbara A. Shipman
+	A Symmetry of Order Two in the Full Kostant–Toda Lattice	1999	Barbara A. Shipman
+	Monodromy near the singular level set in the sl(2, ) Toda lattice	1998	Barbara A. Shipman
+	On the geometry of certain isospectral sets in the full Kostant-Toda lattice	1996	Barbara A. Shipman
+	On the geometry of certain isospectral sets in the full Kostant-Toda lattice	1996	Barbara A. Shipman
+	Convex polytopes and duality in the geometry of the full Kostant-Toda lattice.	1995	Barbara A. Shipman

Common Coauthors

Coauthor	Papers Together
Patrick D. Shipman	5
Stephen P. Shipman	3
Yuji Kodama	2
Kayla Robb	1
Curtis Kizer-Pugh	1
Matthew R. Phillips	1
James Anthony Mendoza Epperson	1
Rachid Atmai	1
Theresa A. Jorgensen	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The Geometry of the Full Kostant-Toda Lattice	1993	Nicholas M. Ercolani H. Flaschka Stephanie Frank Singer	7
+ PDF Chat	Torus orbits in<i>G∕P</i>	1991	H. Flaschka Luc Haine	5
+	Combinatorial geometries and torus strata on homogeneous compact manifolds	1987	Israel M. Gelfand Vera Serganova	5
+	Convexity and Commuting Hamiltonians	1982	Michael Atiyah	5
+ PDF Chat	The toda flow on a generic orbit is integrable	1986	Percy Deift L.‐C. Li T. Nanda Carlos Tomei	5
+	On Whittaker vectors and representation theory	1978	Bertram Kostant	5
+	A Symmetry of Order Two in the Full Kostant–Toda Lattice	1999	Barbara A. Shipman	4
+	The geometry of the full Kostant–Toda lattice of	2000	Barbara A. Shipman	3
+	The solution to a generalized Toda lattice and representation theory	1979	Bertram Kostant	3
+	Monodromy near the singular level set in the sl(2, ) Toda lattice	1998	Barbara A. Shipman	3
+	Integrable Hamiltonian systems connected with graded Lie algebras	1982	A. G. Reiman	3
+	Nongeneric flows in the full Kostant-Toda lattice	2002	Barbara A. Shipman	3
+ PDF Chat	Integrable geodesic flows on homogeneous spaces	1981	A. Thimm	2
+	Completely integrable systems, Euclidean Lie algebras, and curves	1980	Mark Adler Pierre van Moerbeke	2
+	A Weierstrass representation theorem for Lorentz surfaces	2005	Jerzy J. Konderak	2
+ PDF Chat	Blow-ups of the Toda lattices and their intersections with the Bruhat cells	2002	Luis Casian Yuji Kodama	2
+	The direct method in soliton theory	2004	良吾広田敦永井 Jon Nimmo C. R. Gilson	2
+	Integrable Systems of Classical Mechanics and Lie Algebras	1990	A. M. Perelomov	2
+	CONVEX BODIES AND ALGEBRAIC GEOMETRY An Introduction to the Theory of Toric Varieties (Ergebnisse der Mathematik und ihrer Grenzgebiete (3) 15)	1989	P. Μ. H. Wilson	2
+	Group representations arising from Lorentz conformal geometry	1987	Thomas Branson	2
+ PDF Chat	Theta functions and non-linear equations	1981	Boris Dubrovin	2
+ PDF Chat	Iso-spectral deformations of general matrix and their reductions on Lie algebras	1996	Yuji Kodama J. Ye	2
+	Hamiltonian and gradient structures in the Toda flows	1998	Anthony M. Bloch Michael Gekhtman	2
+	Painlevé Balances and Dressing Transformations	1992	Nicholas M. Ercolani H. Flaschka Luc Haine	2
+ PDF Chat	Senior Seminar: Across a Department and Across The Years	2013	Meredith Greer Chip Ross	2
+	Integrals of nonlinear equations of evolution and solitary waves	1968	Peter D. Lax	2
+	Non-traditional Socio-mathematical Norms In Undergraduate Real Analysis	2009	Paul Christian Dawkins	2
+	Reduction of Hamiltonian systems, affine Lie algebras and Lax equations	1979	A. G. Reyman Michael Semenov-Tian-Shansky	2
+	Cohomology of Quotients in Symplectic and Algebraic Geometry	1984	Frances Kirwan	2
+	A UNIPOTENT GROUP ACTION ON A FLAG MANIFOLD AND "GAP SEQUENCES" OF PERMUTATIONS	2003	Barbara A. Shipman	2
+	Singular structure of Toda lattices and cohomology of certain compact Lie groups	2006	Luis Casian Yuji Kodama	2
+ PDF Chat	Toda lattice and toric varieties for real split semisimple Lie algebras	2002	Luis Casian Yuji Kodama	2
+	Hamiltonian group actions and integrable systems	1980	William W. Symes	2
+ PDF Chat	Toda hierarchy with indefinite metric	1996	Yuji Kodama Jian Ye	2
+ PDF Chat	Maximal Surfaces in the 3-Dimensional Minkowski Space $L^3$	1983	Osamu Kobayashi	2
+	The Mathematics of Minkowski Space-Time: With an Introduction to Commutative Hypercomplex Numbers	2008	Francesco Catoni Roberto Cannata Dino Boccaletti	2
+	ON THE FIXED-POINT SETS OF TORUS ACTIONS ON FLAG MANIFOLDS	2002	Barbara A. Shipman	2
+	Linearization of Hamiltonian systems, Jacobi varieties and representation theory	1980	Mark Adler Pierre van Moerbeke	2
+	Convex Bodies and Algebraic Geometry: An Introduction to the Theory of Toric Varieties	1987	Tadao Oda	2
+	Integral Homology of Real Flag Manifolds and Loop Spaces of Symmetrical Spaces	1995	R. R. Kocherlakota	2
+	The topology of isospectral manifolds of tridiagonal matrices	1984	Carlos Tomei	2
+	Toda versus Pfaff lattice and related polynomials	2002	Mark Adler Pierre van Moerbeke	2
+	Twisted Tomei manifolds and the Toda lattices	2002	Luis Casian Yuji Kodama	2
+ PDF Chat	Toda lattice, cohomology of compact Lie groups and finite Chevalley groups	2006	Luis Casian Yuji Kodama	2
+	Complete integrability and stochastization of discrete dynamical systems	1974	S. V. Manakov	2
+ PDF Chat	The Gauss map and spacelike surfaces with prescribed mean curvature in Minkowski $3$-space	1990	Kazuo Akutagawa Seiki Nishikawa	2
+ PDF Chat	Noncommutative and commutative integrability of generic Toda flows in simple Lie algebras	1999	M. Gekhtman Michael Shapiro	2
+ PDF Chat	Toda lattices with indefinite metric II: Topology of the iso-spectral manifolds	1998	Yuji Kodama Jian Ye	2
+	Schubert cells and representation theory	1999	Luis Casian Robert J. Stanton	2
+	Variétés de drapeaux et réseaux de Toda	1991	H. Flaschka Luc Haine	2