伊利諾伊大學(xué)香檳分校數(shù)學(xué)

The Department of Mathematics offers the PhD in Mathematics, as well as MS degrees in Mathematics, Applied Mathematics, Actuarial Science, and the Teaching of Mathematics. Faculty and students conduct research in a wide range of areas of pure and applied mathematics.The Department has 72 full-time faculty members and 25 postdoctoral faculty and is housed largely in Altgeld Hall, a beautiful stone Romanesque building in the heart of campus with one of the world's best mathematics libraries. The 160 doctoral students enjoy a collaborative atmosphere and a lively schedule of about twenty-five research seminars and lectures each week. Sixty of our PhD students are women, and we support an active chapter of the Association for Women in Mathematics (AWM). We help students explore multiple career paths through our innovative program of internships in science and industry.

1、Abstract Algebra I

2、Abstract Algebra II

3、Commutative Algebra

4、Introduction to Geometric Group Theory

5、Homological Algebra

6、Group Representation Theory

7、Riemann Surfaces & Algebraic Curves

8、 Intro to Algebraic Geometry

9、Modern Algebraic Geometry

10、Differentiable Manifolds I

11、Differentiable Manifolds II

12、Lie Groups and Lie Algebras

13、Linear Analysis on Manifolds

14、Homotopy Theory

1、抽象代數(shù)1

2、抽象代數(shù)2

3、交換代數(shù)

4、幾何群論簡(jiǎn)介

5、同調(diào)代數(shù)

6、群表示論

7、黎曼曲面與代數(shù)曲線

8、代數(shù)幾何簡(jiǎn)介

9、現(xiàn)代代數(shù)幾何

10、微分流形1

11、微分流形2

12、Lee群和lee代數(shù)

13、流形上的線性分析

14、同倫理論