 Condensed Matter Core, a lecture course at Perimeter Scholars International 201516, a master's program at Perimeter Institute. Video recordings are avaliable here: [PIRSA].
Lecture notes:*Note: Lectures 610 were given by Denis Dalidovich.
 Mechanics of magnetic solitons. Physics colloquium, University of Utah, Salt Lake City, January 2015. [pdf] [keynote]
 Theory of quantum spin liquids: Introduction to lattice gauge fields. Winter Theory School, MagLab, Tallahassee, January 2015.
1. Compact U(1) gauge theory. [pdf] [keynote] 2. Z_{2} gauge theory. [pdf] [keynote]  Gauge fields, Majorana modes, & projective symmetry in Kitaev's honeycomb model, Frontiers of Condensed Matter Physics, KIAS, Seoul, December 2014. [pdf] [keynote]
 Gauge theories of the Heisenberg antiferromagnet on kagome, Okinawa Institute of Science and Technology, November 2014. [pdf] [keynote]
 Propulsion of domain walls in an antiferromagnet by magnons, ISSP University of Tokyo, Tohoku University, October 2014. [pdf] [keynote]
 Olga Petrova: Nonabelian anyons on dislocations in Kitaev's honeycomb spin liquid, APS Meeting, Denver, March 2014. [link]
 Yuan Wan: Z_{2} spin liquid in kagome Heisenberg antiferromagnet, Perimeter Institute, November 2013). [link]
 Lectures at the Princeton Summer School on Condensed Matter Physics, Princeton, August 2013:
1. Spin ice. [pdf] [keynote] 2. Kagome antiferromagnet: spinons. [pdf] [keynote] 3. Kagome antiferromagnet: Z_{2} gauge theory. [pdf] [keynote]  Z_{2} spin liquid in a Heisenberg antiferromagnet on kagome, Princeton, April 2013. [pdf] [keynote]
 Dynamics of a skyrmion magnetic bubble, Archimedes Center for Modeling, Analysis & Computation, University of Crete, April 2013. [pdf]
 Yuan Wan: Phenomenological theory for the Z2 spinliquid phase of S=1/2 kagome Heisenberg antiferromagnet, KITP, Nov. 2012. [link]

