The department is active in research in most areas of pure and applied mathematics,
including algebra and number theory, analysis,
discrete mathematics, geometry/topology, mathematical finance, numerical analysis, partial
differential equations, probability, representation theory, and time-series analysis.
The department has a Ph.D. programme as well as an integrated Ph.D. programme. The department participates
in the undergraduate programme of IISc: undergraduate students can
opt for mathematics as a major or a minor.