# Department of Pure Mathematics and Mathematical Statistics

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
MB Batchelor
(2013)
Probabilistic Measuring Comodule
MB Batchelor
(2013)
An equivariant covering map from the upper half plane to the complex plane minus a lattice
M Batchelor, P Brownlee, W Woods
– Arxiv preprint arXiv:1203.5261
(2012)
Universal measuring coalgebras and R-transformation algebras
M Batchelor, J Thomas
– Arxiv preprint arXiv:0912.1204
(2009)
Undergraduate training revisited: Thoughts on an unusual reunion
M Batchelor
– The Mathematical Intelligencer
(2008)
25,
17
Measuring comodules — their applications
M Batchelor
– Journal of Geometry and Physics
(2000)
36,
251
Difference Operators, Measuring Coalgebras, and Quantum Group-like Objects
M BATCHELOR
(1994)
105,
190
Measuring coalgebras, quantum group-like objects and noncommutative geometry
M Batchelor
(1991)
375,
47
The graded manifold of smooth maps and the Virasoro algebras
M Batchlelor
(1989)
253
M BATCHELOR, P BRYANT
– Communications in Mathematical Physics
(1988)
114,
243
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01223 337954