John  Stillwell

John Stillwell


My interests are history of mathematics in the 19th and 20th centuries, number theory, geometry, algebra, topology, foundations of mathematics.

In Australia during Spring and Summer


Ph. D. (MIT, 1970)

Research Areas

History of 19th and 20th century mathematics
Foundations of mathematics

Classical Topology and Combinatorial Group Theory (Springer 1980)
Mathematics and Its History (Springer 1989)
Geometry of Surfaces (Springer 1992)
Elements of Algebra (Springer 1994)
Numbers and Geometry (Springer 1998)
Elements of Number Theory (Springer 2003)
The Four Pillars of Geometry (Springer 2005)
Yearning for the Impossible (A K Peters 2006)
Naive Lie Theory (Springer 2008)
Roads to Infinity (A K Peters 2010)
The Real Numbers (Springer 2013)

Plus annotated translations of historic mathematical works, including:

Papers on Fuchsian Functions, by H. Poincaré (Springer, 1985)
Papers on Group Theory and Topology, by M. Dehn (Springer, 1987)
Theory of Algebraic Integers, by R. Dedekind (Cambridge University Press) 1996
Sources of Hyperbolic Geometry, by Beltrami, Klein & Poincaré (AMS, 1996)
Lectures on Number Theory, by P. G. L. Dirichlet (AMS, 1999)
Papers on Topology, by H. Poincaré (AMS, 2010)
Theory of Algebraic Functions of One Variable, by Dedekind & Weber (AMS, 2012)


Some recent invited lectures are available on YouTube:

ET Math: How Different Could It Be? (SETI, November 2011)

What Does 'Depth' Mean in Mathematics? (UC Irvine, April 2014)