Algebra and Geometry.

(See also: resources and, in particular, research topics.)

Several of our research areas have algebraic and geometric aspects, in particular the connections between discrete maps and the geometry of surfaces, integrable lattices of geometric invariants associated with differential systems and the role of generalized Hirota derivatives in the representation theory of sl(n,C).

These are currently areas of particular interest to us.

1. Athorne, C., Algebraic invariants and generalized Hirota derivatives. Phys. Lett. A 256 (1999), no. 1, 20--24. MathSciNet Review
2. Nimmo, J. J. C.; Schief, W. K. An integrable discretization of a $(2+1)$-dimensional sine-Gordon equation. Stud. Appl. Math. 100 (1998), no. 3, 295--309. MathSciNet Review
3. Athorne, C. A $\bold Z\sp 2\times\bold R\sp 3$ Toda system. Phys. Lett. A 206 (1995), no. 3-4, 162--166. MathSciNet Review