Jonathan Hanke's Website

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My Mathematics Videos:

• Bi-Co Mathematics Colloquium (Sept 2014): Quadratic Forms in Number Theory
  • (Video, Abstract, Transparencies)
• Brookhaven National Lab Talk for advanced high school students (Sept 2014): To Infinity and Beyond
  • (Video 1 of 2, Video 2 of 2, Abstract)
• PROMYS counselor mini-mini-course marathon (August 2014): Does $\mathbb{Z}\left[\frac{1 + \sqrt{-23}}{2}\right]$ have unique prime factorization?  (Video, Writeup)
• Rutgers Exp. Math Seminar (Nov 2013): The 290-Theorem and Representing Numbers by Quadratic Forms  (Video, Abstract, Transparencies)
• UConn Math Club Lecture (April 2012): The Geometry of Projective Space
  • (Video, Abstract)
• UGA Math Club Lecture (Feb 2012): The Mathematics of Juggling
  • (Video, YouTube, Abstract, Juggling paper)
• PROMYS Guest Lecture (July 2011): Random Numbers and the Zeta Function
  • (Video, Abstract, Notes)
• MSRI Evans Lecture (Feb 2011): The Arithmetic of Quadratic Forms
  • (Video, Abstract)
• Lectures at the Arizona Winter School on “Quadratic Forms and Automorphic Forms” (March 2009):
  • Lecture 1: Quadratic Spaces and Quadratic Lattices — (Video)
  • Lecture 2: Theta Series and Siegel’s Formula — (Video)
  • Lecture 3: The Clifford Algebra — (Video)
  • Lecture 4: Automorphic Forms and Theta Liftings — (Video)
  • Extended Lecture Notes (PDF)
• Informal Lectures on Modular forms for Circle Method Seminar at UGA (Fall 2009)
  • Lecture 1: Introduction to theta series — (Video)
  • Lecture 2: Trivial bounds and asymptotic formulas — (Video)
  • Lecture 3: Local densities and the main term — (Video)
• MSRI Informal Lecture (August 2006): Introduction to Quadratic Forms and Modular Forms
  • (Video, Abstract, Notes)

My (non-video) Mathematics Lectures:

• Understanding the (total) mass of Quadratic forms of fixed determinant (PDF)
  • Banff Workshop on “Diophantine Methods, Lattices and Arithmetic Theory of Quadratic Forms“, November 18, 2011.

(More lectures coming soon!)