*Research Interests: *Measuring coalgebras give a good and entirely algebraic method of recovering many of the structures of differential topology, such as tangent spaces, connections and bundles. Since the construction is entirely algebraic, this has allowed extension of differential topological constructions to settings where the point set approach to manifolds breaks down, as occurs, for example, in supersymmetric theories. It allows also for a geometric interpretation of algebraic constructions.

## Publications

Crystals and Probability

(2013)

Probabilistic Measuring Comodule

(2013)

An equivariant covering map from the upper half plane to the complex plane minus a lattice

– Arxiv preprint arXiv:1203.5261

(2012)

Universal measuring coalgebras and R-transformation algebras

– Arxiv preprint arXiv:0912.1204

(2009)

Undergraduate training revisited: thoughts on an unusual reunion

– The Mathematical Intelligencer

(2003)

25,

17

(DOI: 10.1007/bf02985634)

Measuring comodulesâ€”their applications

– Journal of Geometry and Physics

(2000)

36,

251

Difference Operators, Measuring Coalgebras, and Quantum Group-like Objects

– Advances in Mathematics

(1994)

105,

190

(DOI: 10.1006/aima.1994.1044)

Measuring coalgebras, quantum group-like objects, and non-commutative geometry

(1991)

375,

47

(DOI: 10.1007/3-540-53763-5_45)

The graded manifold of smooth maps and the Virasoro algebras

(1989)

253

Graded Riemann surfaces

– Communications in Mathematical Physics

(1988)

114,

243

(DOI: 10.1007/BF01225037)

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