Lectures on Riemannian Curvature Functionals, IAS/PCMI Program in Geometric Analysis, July, 2013

• pdf : Critical Metrics for Riemannian Curvature Functionals, expanded version of lectures, to appear in IAS/PCMI Proceedings book.
  
  
• Slides from original lectures: Lecture 1, Lecture 2, Lecture 3, Lecture 4.
  
  

Lecture Notes

• pdf : Math 250AB, Algebraic Topology, Fall 2020 and Winter 2021.
  
  
• pdf : Math 240AB, Differential Geometry, Fall 2018 and Winter 2019.
  
  
• pdf : Lectures on Kähler geometry, Ricci curvature, and hyperkähler metrics, Lectures given at Tokyo Institute of Technology, Tokyo, Japan, Summer 2019.
  
  
• pdf : Math 222AB, Complex Variables and Geometry, Fall 2017 and Winter 2018.
  
  
• Course Web Page : Math 865, Advanced Topics in Geometry, Fall 2016. Topics course in Riemannian Geometry (covering topics in geometric analysis).
  
  
• Course Web Page : Math 865, Advanced Topics in Geometry, Fall 2015. Topics course in Riemannian Geometry (covering some elementary complex and Kahler geometry).
  
  
• Course Web Page : Math 865, Advanced Topics in Geometry, Fall 2011. Topics course in Riemannian Geometry. (Differs substantially from Fall 2007 notes).
  
  
• Course Web Page : Math 865, Topics in Geometry, Fall 2007. Topics course in Riemannian Geometry.
  
  
• pdf : Complex Geometry notes, Fall 2006. These are some notes on calculating characteristic numbers of smooth complete intersections in P^n.
  
  
• OCW : 18.156, Differential Analysis, Spring 2004. A course on elliptic PDE, Gilbarg-Trudinger style.
  
  
• OCW : 18.125, Measure and Integration, Fall 2003. A course on Lebesgue Theory.