Dr E.L.G.Cheng, Department of
Mathematics, University of Sheffield, Hicks Building, Hounsfield Road,
Sheffield S3 7RH. UK
Office: J24. Tel: (+44) 114 222 3768. Fax: (+44) 114
222 3809.
The picture is by my Algebraic
Topology student Thomas Cottrell.
It is a beautiful rendition of an 11-holed torus, illustrating the
5-fold rotational symmetry giving the space as a 5-sheeted cover of the
3-holed torus.
Higher-Dimensional
Categories: an illustrated guide book
by
Eugenia Cheng and Aaron Lauda
DRAFT
VERSION, PREPARED FOR IMA WORKSHOP
(revised after it)
Higher-dimensional
category theory: the
architecture of mathematics (pdf)
-
an introduction to my field and my research as of November 2001.
Written
for non-specialists in any discipline (originally as part of a job
application),
it is very non-technical and includes various flights of fancy and
copious
analogies.
Mathematics
and lego:
the untold story (pdf)
- approximate text from a seminar I
gave
at Newnham College in November 2001, aimed at students and researchers
of
all levels and all disciplines. This is not a formally
presented
document, and it doesn't include the slides, so some of it is a bit
hard to imagine.
Mathematical
morality
- a talk I gave at the Cambridge University Society for the Philosophy
of Mathematics, and in a modified version later at the University of
Chicago
