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  2. An Unofficial Guide To Part III Although the production ...

    https://www.dpmms.cam.ac.uk/~twk10/PartIII.pdf
    5 Oct 2019: Any new paper is open to any candidate.Even if you request a paper you can later change your mind and not take it.If you are thinking of requesting an ... 16. Brexit When news of the vote was brought to the Vice Chancellor he isreported to have said
  3. 2 Nov 2019: Then. det. (1 0. (fi/xi) (fi/yj). )(0, 0) 6= 0. and so, by the Inverse Function Theorem, the xi,fj form a valid set of new local coordinateson a ... The local equation for the intersection ofP with that neighbourhood takes in the new coordinates a simple
  4. ÙD-MODULES ON RIGID ANALYTIC SPACES III:WEAK HOLONOMICITY AND…

    https://www.dpmms.cam.ac.uk/~sjw47/DCapThree.pdf
    1 May 2019: ÙD-MODULES ON RIGID ANALYTIC SPACES III:WEAK HOLONOMICITY AND OPERATIONS. KONSTANTIN ARDAKOV, ANDREAS BODE, AND SIMON WADSLEY. Abstract. We develop a dimension theory for coadmissible ÛD-modules onrigid analytic spaces and study those which are of
  5. EVERYWHERE LOCAL SOLUBILITY FOR HYPERSURFACES IN PRODUCTSOF…

    https://www.dpmms.cam.ac.uk/~taf1000/papers/probs22.pdf
    3 Nov 2019: EVERYWHERE LOCAL SOLUBILITY FOR HYPERSURFACES IN PRODUCTSOF PROJECTIVE SPACES. TOM FISHER, WEI HO, AND JENNIFER PARK. Abstract. We prove that a positive proportion of hypersurfaces in products of projective spacesover Q are everywhere locally soluble
  6. ON FAMILIES OF 13-CONGRUENT ELLIPTIC CURVES T.A. FISHER Abstract. ...

    https://www.dpmms.cam.ac.uk/~taf1000/papers/congr13.pdf
    24 Dec 2019: InSection 6 we instead develop a new approach for computing equations for Z(n,k),not going via the equations for XE(n,k), but still using the invariant theory.
  7. Part II Algebraic Topology Henry Wilton November 8, 2019 ...

    https://www.dpmms.cam.ac.uk/~hjrw2/AT%20lecture.pdf
    8 Nov 2019: Part II Algebraic Topology. Henry Wilton. November 8, 2019. 0 Introduction. Topology is often loosely defined as ‘rubber-band geometry’. Perhaps a morerigorous definition is that topology is the study of continuous maps. Here is a question that
  8. École Normale Supérieure de LyonResearch internship report Topology…

    https://www.dpmms.cam.ac.uk/~aptm3/docs/maths/2019-TopologyComplexAffineVarieties.pdf
    9 Aug 2019: The aim was then to write fully modern and rigorous proofsof two related theorems by Picard, using [Mov19] as a compass and learning new mathematicsalong the way. ... but we will need it for all 1 6 m 6 n,and therefore we introduce a new condition,
  9. École Normale Supérieure de LyonResearch internship report Topology…

    https://www.dpmms.cam.ac.uk/~aptm3/docs/maths/2019-TopologyComplexAffineVarieties-Abridged.pdf
    9 Aug 2019: The aim was then to write fully modern and rigorous proofsof two related theorems by Picard, using [Mov19] as a compass and learning new mathematicsalong the way. ... but we will need it for all 1 6 m 6 n,and therefore we introduce a new condition,
  10. Caesar.dvi

    https://www.dpmms.cam.ac.uk/study/II/TopicsinAnalysis/2018-2019/Caesar.pdf
    10 Jan 2019: We deal with the case when z lies on the boundary of some S by erasingany sides through z and repeating the argument with the new (non-regular)grid.
  11. Advanced AnalysisLectures by Denis Serre Notes by Alexis Marchand ...

    https://www.dpmms.cam.ac.uk/~aptm3/docs/lecture-notes/M1-Advanced-Analysis.pdf
    1 Jan 2019: Therefore, it is enough to prove that B = B′. If W B, then W BjW (1), so Wis a neighbourhood of 0 in the new topology, and W is still balanced ... f E, x E, pf (x) = |f(x)|. The weak topology is denoted by σ (E,E), it is a new topology making E a

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