Topology and deformation of isolated singularities Spring 2026 – SIMIS

Course Information

• Lecturer: Chenglong Yu
• Office: SIMIS 1106
• E-mail: yuchenglong {at} simis.cn
• TA: TBD

Syllabus

This course covers the topology and deformation theory of isolated singularities. More details to be announced.

Lectures

Lecture notes (Still under revision, not all the contents will be included in class)

Homework assignments

• Homework 1

Projects

References

I will follow the books by Milnor and Looijenga:

• Milnor, J. (1968). Singular points of complex hypersurfaces. Princeton University Press.
• Looijenga, E. (2013). Isolated singular points on complete intersections, Second Edition. International Press and Higher Education Press.

Recommended for further reading:

• Greuel, G.-M., Lossen, C., & Shustin, E. (2007). Introduction to singularities and deformations. Springer Science & Business Media.
• Dimca, A. (1992). Singularities and topology of hypersurfaces. Springer Science & Business Media.
• Saito, K. (1980). Theory of logarithmic differential forms and logarithmic vector fields. Journal of the Faculty of Science, University of Tokyo, Section IA, Mathematics, 27(2), 265-291.
• Arnold, V. I., Gusein-Zade, S. M., & Varchenko, A. N. (1985). Singularities of differentiable maps (Vol. 1). Birkhäuser Boston.
• Wall, C. T. C. (2004). Singular points of plane curves. Cambridge University Press.
• Brieskorn, E., & Knörrer, H. (1986). Plane algebraic curves. Birkhäuser Basel.