Expository Articles and Talks by Masoud Khalkhali

• Noncommutative Geometry for Poets
  This is a quick introduction to some of the ideas of noncommutative geometry.
• Regularizing divergent sums
  UWO undergraduate Pizza Seminar talk in Sept. 2011. Zeta function and cutoff regularization techniques are introduced.
• Regularizing divergent products
  UWO undergraduate Pizza Seminar talk in 2015. Zeta function regularization technique is introduced.
• Wir müssen wissen, wir werden wissen! (We must know, we will know!)
  This is a short post on Hilbert's radio speech that I wrote for the Noncommutative Geometry Blog.
• Determinant, Trace, and Noncommutative Geometry
  This is a post I wrote for the Noncommutative Geometry Blog.
• The Music of Quantum Spheres
  Talk for students attending the Fields Institute Undergraduate Summer Research Program.
• The Nature of Space in Noncommutative Geometry
  A colloquium at IPM, Tehran, in 2010. I sketch the development of the notion of space in mathematics and physics.
• First Steps in Quantum Computing
  Pizza Seminar talk, UWO, April 2013.
• 100 Years of Weyl's Law
  This is a celebration of Weyl's proof of his asymptotic law for eigenvalues of Laplacians in 1911.
• The Spectral Point of View in Geometry
  Colloquium, University of Windsor.
• Spectral Zeta Functions and Gauss-Bonnet Theorems in Noncommutative Geometry
  10th Annual Noncommutative Geometry and Operator Algebra Spring Institute, Vanderbilt University.
• What is new with Connes' approach to the Riemann hypothesis?
  This is a report on a recent paper by Connes-Consani-Marcolli. Among other things they can give a definition of the Frobenius in characteristic zero.
• A Beginner's Guide to Noncommutative Geometry
  This is really not about noncommutative geometry, but what it is built on. Should be useful to students of the subject.
• Banff Report
  prepared by the organizers of a Banff meeting on noncommutative geometry. It contains a good introduction to the subject as well as its state of the art in 2003.
• Lectures on Noncommutative Geometry (112 pages)
• Very Basic Noncommutative Geometry (104 pages)
  This is an expanded text of lectures I gave at the Fields Institute and at the 2nd Spring school on Noncommutative Geometry and Operator Algebras, Vanderbilt University, USA.
• From Cyclic Cohomology to Hopf Cyclic Cohomology in 5 Lectures(246 pages)
  This is the text of 5 lectures I gave at the annual meeting on Noncommutative Geometry and Operator Algebras, 2007, in Vanderbilt University.