The Meissner effect is the most fundamental property of superconductors. It was discovered experimentally in 1933 (W. Meissner and R. Ochsenfeld, Naturwiss. 21, 787 (1933)). Since then, any explanation of superconductivity has to include an explanation of the Meissner effect.
1) Read the original Meissner-Ochsenfeld paper, or an english translation of it.
2) According to the Web of Science, 51 papers cited the Meissner-Ochsenfeld paper between 1934 and 1956. Look them up, pick one or more of them (experimental, theoretical or both), read them and the papers they cite as references.
3) The 52nd paper that cites the Meissner-Ochsenfeld paper is by BCS, Physical Review 108, 1175 (1957). Try to understand what it says about the Meissner effect.
4) Write a paper explaining what you learned and understood about the Meissner effect, focusing on the work before BCS.
Additional requirement for 232 Students:
In the year following the publication of BCS, 1958, 36 published papers cited the BCS paper.
Several of them discuss the BCS explanation of the Meissner effect.
Read one of them and discuss it
in your paper.
There is a wide variety of superconducting materials. Some are considered to be 'conventional', driven by the electron-phonon interaction, others are considered to be 'unconventional', driven by a different mechanism.
Pick a superconducting material (conventional or unconventional) and another material closely similar to it that is either not a superconductor, or is a superconductor with a much lower critical temperature. Study their similarities and differences for a variety of physical properties. See if you can understand and explain why one is a superconductor and the other is not or is with a much lower Tc.
For a list of superconducting materials you can use the reference Physica C Volume 514 (2015) that reviews a large number of superconducting materials known in 2015. Consider also superconductors discovered since 2015 such as nickelates, pressurized hydrides, twisted graphene.
Additional requirement for 232 Students
In addition to the two materials discussed above,
pick another superconducting material, so that you
have one conventional and one unconventional one.
Compare their physical properties.
Analyze what is the evidence supporting the belief that one is a conventional and the
other an unconventional superconductor.