Topology is concerned with the intrinsic properties of shapes of spaces. One class of spaces which plays a central role in mathematics, and whose topology is extensively studied, are the […]
Overview Probability is concerned with the mathematical analysis of random phenomena. It is younger than most other areas of Mathematics, as it originated with the study of games of chance […]
The objects of study of algebraic geometry are, roughly, the common zeroes of polynomials in one or several variables (algebraic varieties). But because polynomials are so ubiquitous in mathematics, algebraic […]
The combined Columbia-Barnard Mathematics Department currently consists of 51 faculty members (27 senior, 24 junior), 19 adjunct professors, 8 Post-Doctoral Research Fellows and Scientists, and 59 PhD students. In addition, […]