DiscriptionThe lectures will be an introdution to different aspects of singularities of algebraic varieties motivated by open problems such as the monodromy conjecture, the Nash problem, the Zariski multiplicity conjecture, the Arc-Floer conjecture.Prerequisite:algebraic geometry (varieties, schemes, sheaves, cohomology)Target Audience:Graduate students and advanced undergraduate studentsTeachi...
Description:I will give four lectures based on the following papers.Gao, M. and Ding. P. (2023+). Causal inference in network experiments: regression-based analysis and design-based properties.Lu, S. and Ding, P. (2023+). Flexible sensitivity analysis for causal inference in observational studies subject to unmeasured confounding.Lu, S., Jiang, Z. and Ding, P. (2023+) Principal Stratification w...