The graduate program in mathematics is designed to prepare students for research careers in universities, industry, or government. Accordingly, only those students seeking the Ph.D. degree are admitted. In the past fifteen years, Caltech has awarded doctorates in mathematics to about 90 students, many of whom have moved into attractive positions as members of university faculty and in industry and government research.
Graduate students are encouraged to engage in creative research work after passing their qualifying exams. As a result of the informal atmosphere, small size of the department, and the large faculty to student ratio, graduate students have ample opportunity to interact closely with the faculty in research.
1、实数和复数分析
2、抽象代数
3、拓扑和几何
4、椭圆曲线
5、统计学
6、数理逻辑和公理集合论
7、可计算性理论
8、组合分析
9、群论
10、信息论
11、代数几何
12、功能分析
13、数论
14、普通和偏微分方程
