You can find the exercises in the lecture notes.

Final project: Read a research paper that makes use of the formalism developed in this course and write a pedagogical version of that paper, with all details of the calculations filled in. If the amount of material in a paper is too much, you can focus on an aspect of the calculation. You are free to choose a paper of your own interest. Below are some suggestions.

• Hartree and Cooperon contribution to zero bias anomaly in the tunneling density of states of a disordered metal [B. L. Altshuler and A. G. Aronov, in Electron-electron interactions in disordered systems, edited by A.L. Efros and M. Pollak (North-Holland, 1985)].
  
• Weak localization correction to the conductivity of a disordered metal with spin-orbit scattering [S. Hikani, A. I. Larkin, and Y. Nagaoka, Prog. Theor. Phys. 63, 707 (1980)].
  
• Universal conductance fluctuations [B. L. Altshuler JETP Lett. 41, 648 (1985)].
  
• Image of the Fermi Surface in the Vibration Spectrum of a Metal [W. Kohn, Phys. Rev. Lett. 2, 393 (1959); E. J. Woll, Jr. and W. Kohn, Phys. Rev. 126, 1693 (1962)].
  
• Persistent currents in mesoscopic rings [V. Ambegaokar and U. Eckern, Phys. Rev. Lett. 65, 381 (1990)].
  
• Conductance of a Quantum Wire in the Wigner-Crystal Regime [K. A. Matveev, Phys. Rev. Lett. 92, 106801 (2004) and Phys. Rev. B 70, 245319 (2004)].
  
• Coulomb Interactions and Mesoscopic Effects in Carbon Nanotubes [C. Kane, L. Balents, and M. P. A. Fisher, Phys. Rev. Lett. 79, 5086 (1997)].
  
• Suppression of the order parameter in homogeneous disordered superconductors [R. A. Smith, M. Yu. Reizer, and J. W. Wilkins, Phys. Rev. B 51, 6470 (1995)].