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  2. N-Congruences Between Quadratic Twists of Elliptic Curves

    https://www.dpmms.cam.ac.uk/~stf32/slides/qttslides_yrant.pdf
    7 Sep 2021: quadratic twist if and only ifeither N 12, N 24 is even, N = 28 or N = 36.
  3. Teaching 1. At Cambridge, much of my teaching was ...

    https://www.dpmms.cam.ac.uk/~ardm/teachingdone.pdf
    15 Aug 2015: Courses, usually of 24 lectures, on topics in Set Theory and Logic given in Cambridge:.
  4. Part III Analysis of PDE: Rough syllabus Claude Warnick ...

    https://www.dpmms.cam.ac.uk/~cmw50/resources/PartIIIPDE/PDESyllabus.pdf
    15 Oct 2021: Part III Analysis of PDE: Rough syllabus. Claude Warnick. April 24, 2019.
  5. Pierre RAPHAËL Herchel Smith Professor of Pure MathematicsDepartment …

    https://www.dpmms.cam.ac.uk/files/raphael/cv-complet-2022.pdf
    25 Jan 2022: 163 (2014), no. 2, 369–431. [24] Raphaël, P.; Schweyer, R., Stable blow up dynamics for the 1-corotational energy critical harmonic heat flow,Comm. ... Vlasov-Poisson system, Ann. Inst. H. Poincaré Anal. Non Lind́eaire 24 (2007), no.
  6. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=112
    20 Jun 2024: 2007). 24,. 6201. (doi: 10.1088/0264-9381/24/24/004). Representations of the quantum torus and applications to finitely presented groups.
  7. Example sheet 3, Galois Theory (Michaelmas 2022)…

    https://www.dpmms.cam.ac.uk/study/II/Galois/2022-2023/ex3.pdf
    22 Nov 2022: 1. (i) What are the transitive subgroups of S4? Find a monic polynomial over Z of degree 4 whoseGalois group is V = {e, (12)(34), (13)(24), (14)(23)}.(ii) Let
  8. GLOBAL PERTURBATIVE CLASSICAL SOLUTIONS OF THE BOLTZMANN EQUATION…

    https://www.dpmms.cam.ac.uk/~md384/Boltzmann-long-range.pdf
    14 Feb 2017: Math. Soc. 24 (2011), no. 3, 771–847. [4] Alexandre, R.; Morimoto, Y.; Ukai, S.; Xu, C.-J.; Yang, T.
  9. IA Groups - Example Sheet 3 Michaelmas 2021 rdc26@cam.ac.uk ...

    https://www.dpmms.cam.ac.uk/study/IA/Groups/2021-2022/gps321.pdf
    8 Nov 2021: a) Let H 6 Cn. Identify the quotient Cn/H. (b) Show that N = {e, (12)(34), (13)(24), (14)(23)} is a normal subgroup of S4.
  10. 1 Linear Mathematics Lent Term 2002. My purpose here ...

    https://www.dpmms.cam.ac.uk/~amwg/Linear2002/Linear.pdf
    30 Nov 2001: respectively, where dim(V ) = n, r = rk(α). 24. Let τ : U V be a linear map between two finite dimensionalvector spaces and let W be a vector subspace of U. ... . 24 CHAPTER 1. VECTOR SPACES AND LINEAR MAPS. and hence describe the space
  11. Lent Term 2024 O. Randal-Williams IB Groups, Rings, and ...

    https://www.dpmms.cam.ac.uk/study/IB/GroupsRings%2BModules/2023-2024/Sheet3.pdf
    15 Jan 2024: X4 2X 2, X4 18X2 24, X3 9, X3 X2 X 1, X4 1, X4 4.

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