Welcome to the house page of the Division of Mathematics on the University of British Columbia. From the notched bones of early man to the mathematical advances led to by settled agriculture in Mesopotamia and Egypt and the revolutionary developments of historic Greece and its Hellenistic empire, the story of mathematics is a long and impressive one.

Topology in all its many ramifications might have been the best growth space in 20th-century mathematics; it contains level-set topology , set-theoretic topology , algebraic topology and differential topology In particular, instances of contemporary-day topology are metrizability theory , axiomatic set concept , homotopy idea , and Morse theory Topology also contains the now solved Poincaré conjecture , and the nonetheless unsolved areas of the Hodge conjecture Other results in geometry and topology, together with the four coloration theorem and Kepler conjecture , have been proved solely with the help of computer systems.

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