Yue Sheng

Yue Sheng
  • AMCS PhD Student

Contact Information

  • office Address:

    427 Jon M. Huntsman Hall,
    3730 Walnut Street,
    Philadelphia, PA 19104

Teaching

Past Courses

  • MATH460 - TOPOLOGY

    Point set topology: metric spaces and topological spaces, compactness, connectedness, continuity, extension theorems, separation axioms, quotient spaces, topologies on function spaces, Tychonoff theorem. Fundamental groups and covering spaces, and related topics.

  • MATH465 - DIFFERENTIAL GEOMETRY

    Differential geometry of curves in the plane and in 3-space;n gauge theories Surfaces in 3-space; The geometry of the Gauss map;ons. The language of Intrinsic geometry of surfaces; Geodesics; Moving frames; of vector bundles, The Gauss-Bonnet Theorem; Assorted additional topics.

  • MATH500 - TOPOLOGY

    Point set topology: metric spaces and topological spaces, compactness, connectedness, continuity, extension theorems, separation axioms, quotient spaces, topologies on function spaces, Tychonoff theorem. Fundamental groups and covering spaces, and related topics.

  • MATH501 - DIFFERENTIAL GEOMETRY

    The course moves from a study of extrinsic geometry (curves and surfaces in n-space) to the intrinsic geometry of manifolds. After a review of vector calculus and a section on tensor algebra, we study manifolds and their intrinsic geometry, including metrics, connections, geodesics, and the Riemann curvature tensor. Topics include Eulerian curvature and Euler's theorems, the Gauss map and first/second fundamental forms, the Theorema Egregium, minimal surfaces in n-space; other topics as time permits.

Knowledge@Wharton

What Contributes Most to Consumer Financial Distress?

New research coauthored by Wharton’s Benjamin Keys looks at the roles geographic location and individual characteristics play in the financial struggles of consumers.

Knowledge @ Wharton - 2020/04/10
When Will the Jobs Return?

Industries such as leisure and hospitality might bounce back sooner than others, but lower demand suggests more layoffs could be on the way, say experts at Wharton.

Knowledge @ Wharton - 2020/04/7
What the COVID-19 Curve Can Teach Us about Climate Change

Much like flattening the curve on COVID-19, the world must act now to lessen the cumulative effects of climate change, says Wharton’s Howard Kunreuther.

Knowledge @ Wharton - 2020/04/7