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  2. Explicit moduli spaces for congruences of elliptic curves

    https://www.dpmms.cam.ac.uk/~taf1000/papers/congr-ellsurf.html
    27 Apr 2018: Explicit moduli spaces for congruences of elliptic curves (20 pages) There are two accompanying Magma files that check the calculations in the paper, available here and here.
  3. Teaching

    https://www.dpmms.cam.ac.uk/~martin/Research/Publications/publications.html
    2 Jul 2018: Theoretical Computer Science, 375, 2007, 20-40. This is the journal version of the earlier Combining Continuations with other Effects. ... 2010. Martin Hyland. 20, 2010, 239-265. 2014. Martin Hyland. 303, 2014, 59-77.
  4. Example Sheet 1, Galois Theory 2018 pmhw@dpmms.cam.ac.uk 1. Let ...

    https://www.dpmms.cam.ac.uk/~pmhw/Galois2018.1.pdf
    4 Oct 2018: 20. Show that for any n > 1 the polynomial Xn X 3 is irreducible over Q.
  5. Lent Term 2018 O. Randal-Williams Part III Characteristic classes ...

    https://www.dpmms.cam.ac.uk/~or257/teaching/IIIKThy2018/Sheet3.pdf
    7 Mar 2018: Investigate what this means for n 20. 7. Show that the sphere bundle of (γ1,n1C )k CPn is homeomorphic to the manifold L2n1k =. S2n1/(Z/k), where Z/k acts
  6. Example Sheet 1, Galois Theory 2018 pmhw@dpmms.cam.ac.uk 1. Let ...

    https://www.dpmms.cam.ac.uk/study/II/Galois/2018-2019/Galois2018.1.pdf
    5 Oct 2018: 20. Show that for any n > 1 the polynomial Xn X 3 is irreducible over Q.
  7. STATISTICS Part IB Example Sheet 2 (of 3) RJS/Lent ...

    https://www.dpmms.cam.ac.uk/study/IB/Statistics/2017-2018/Example2.pdf
    20 Feb 2018: Improved No difference WorsePlacebo 18 17 15. Half dose 20 10 20Full dose 25 13 12.
  8. Numbers and Sets (2018–19) Example Sheet 2 of 4 ...

    https://www.dpmms.cam.ac.uk/study/IA/Numbers%2BSets/2018-2019/examples-NS-18-2.pdf
    25 Oct 2018: 7. Without using a calculator, evaluate 20!2120 (mod 23) and 1710000 (mod 30).
  9. Numbers and Sets (2018–19) Example Sheet 1 of 4 ...

    https://www.dpmms.cam.ac.uk/study/IA/Numbers%2BSets/2018-2019/examples-NS-18-1.pdf
    9 Oct 2018: Another example of two consecutive multiples often, between which there are four primes, is 10 and 20.
  10. PART II REPRESENTATION THEORYSHEET 3 Unless otherwise stated, all ...

    https://www.dpmms.cam.ac.uk/study/II/RepresentationTheory/2017-2018/IIRT3.pdf
    18 Jan 2018: Hence find the complete character table of S5. Repeat, replacing S4 by the subgroup 〈(12345), (2354)〉 of order 20 in S5.
  11. Michaelmas Term 2018 Linear Algebra: Example Sheet 3 of ...

    https://www.dpmms.cam.ac.uk/study/IB/LinearAlgebra/2018-2019/lin_alg-18-3.pdf
    8 Nov 2018: Find the eigenvalues and give bases for the eigenspaces of the following complex matrices: 1 1 00 3 20 1 0.

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