18.783 MIT course by Ciro Santilli 35 Updated +Created
math.mit.edu/classes/18.783, Wow, good slides! Well organized site! This is a good professor! And brutal course. 25 lectures, and lecture one ends in BSD conjecture!
Oxford virtual learning environment by Ciro Santilli 35 Updated +Created
Their status is a mess as of 2020s, with several systems ongoing. Long live the "original" collegiate university!
Largest known ranks of an elliptic curve over the rational numbers by Ciro Santilli 35 Updated +Created
web.math.pmf.unizg.hr/~duje/tors/rankhist.html gives a list with Elkies (2006) on top with:
TODO why this non standard formulation?
Oxford mathematics Moodle by Ciro Santilli 35 Updated +Created
Has a mixture of open access and closed access. But at least it can have open access unlike the in-house systems such as Canvas where everything is necessarily paywalled!
Sometimes things appear open but don't show any meaningful content if you are not logged in, which is annoying.
But at least it gives a clear public course list, thing that certain departments (cough Department of Physics of the University of Oxford cough).
The organization is a bit crap, when you expand e.g. C Michaelmas term it shows nothing, just a search.
The way to go is via the year year categories e.g. "Year 2022-23": courses.maths.ox.ac.uk/course/index.php?categoryid=734. Term splitting is annoying, but one can stand it.
There seems to be no way to list all versions of a single course across multiple years besides just doing a search e.g.
Polynomial time algorithm by Ciro Santilli 35 Updated +Created
Mathematical Institute of the University of Oxford by Ciro Santilli 35 Updated +Created
No, they couldn't be like everyone else and be a "department", proud mathematicians had to be an "Institute"!
Oxford physics course handbook by Ciro Santilli 35 Updated +Created
The normal navigation to them was paywalled, but the static files are served without login checks if you know their URL. One way to go about it is to search by prefix on the Wayback Machine: web.archive.org/web/*/https://www2.physics.ox.ac.uk/sites/default/files/contentblock/2011/06/03/*
The last handbooks we can find are 2020/2021, they might have move to a new more properly paywalled location after that year.
Quantum matter physics course of the University of Oxford by Ciro Santilli 35 Updated +Created
Notes/book: www-thphys.physics.ox.ac.uk/people/SteveSimon/QCM2022/QuantumMatter.pdf Marked as being for Oxford MMathPhys, so it appears that this is a 4th year course normally. TODO but where is it listed under the course list of MMapthPhys? mmathphys.physics.ox.ac.uk/course-schedule
  • Fermi Liquids
    • Weakly Interacting Fermions
    • Response Functions and Screening
      • Thomas Fermi
      • RPA
      • Plasmons
    • Landau Fermi Liquid Theory
  • Superfluidity
    • Two Fluid Model and Quantized Circulation
    • Landau Criterion for Superfluidity
    • Two Fluid Model for Superconductors
      • London Theory
      • Flux Vortices
      • Type I and Type II superconductors
    • Microscopic Superfluidity
      • Coherent States
      • Bose Condensation
      • Gross Pitaevskii Equation
      • Off Diagonal Long Range Order
      • Feynman Theory of Superfluidity (in book, but will skip in lectures. Not examinable)
    • Ginzburg Landau Theory of Superfluids
      • Neutral Superfluids
      • Charged Superfluids
      • Anderson - Higgs Mechanism
      • Rederviation of London Equations
      • Ginzburg - Landau Parameter and Type I/II revisited
      • Vortex Structure
  • BCS Theory of Superconductors
    • Phonons
    • The Cooper Problem
    • BCS wavefunction
    • Bogoliubov Excitation Spectrum
    • Majorana Physics
Year 4 of the physics course of the University of Oxford by Ciro Santilli 35 Updated +Created
Students choose only one of the Cx courses.
Then there are PhDs corresponding to each of them: www.ox.ac.uk/admissions/graduate/courses/mpls/physics

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