Recent papers by Ron Umble

Higher Homotopy Hof Algebras Found: A Ten Year Retrospective, preprint

Some Naturally Occurring Examples of A-Infinity Bialgebras (with A. Berciano), preprint

Gereralizations of the Brachistochrone Problem (with J. Gemmer and M. Nolan), preprint

Periodic Orbits for Billiards on an Equilateral Triangle (with Andrew Baxter), American Mathematical Monthly, 115, No. 8, (2008), 479-491

Matrads, A_\infty-Bialgebas and the Polytopes KK (with Samson Saneblidze), J. Homology, Homotopy and Appl., to appear; preprint

Structure Relations in Special A_\infty-Bialgebras, J. Mathematical Sciences, (2008) 186-196. Translated from: Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and its Applications), Vol. 43, Topology and Its Applications, (2006) 136-143.

The Biderivative and A_\infty-Bialgebras (with S. Saneblidze), J. Homology, Homotopy and Appl., 7 No. 2 (2005), 161-177

Minimal Paths on Some Simple Surfaces with Singularities (with J. Mohler), Pi Mu Epsilon J., 12 No. 8, (2008) 461-472

Diagonals on the Permutahedra, Multiplihedra and Associahedra (with S. Saneblidze), J. Homology, Homotopy and Appl., 6 No. 1 (2004), 363-411

A Diagonal on the Associahedra (with S. Saneblidze), preprint

Obstructions to Deformations of DG Modules (with T. Armstrong), Proc. AMS, 129 No. 12 (2001), 3447-3452

The Deformation Complex for DG Hopf Algebras, J. Pure and Applied Algebra, 106 (1996), 199-222