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  2. Minimal models for 6-coverings of elliptic curves

    https://www.dpmms.cam.ac.uk/~taf1000/papers/minmodels6.html
    27 May 2014: In this paper we give a new formula for adding 2-coverings and 3-coverings of elliptic curves, that avoids the need for any field extensions.
  3. The house blog

    https://www.dpmms.cam.ac.uk/~mg475/houseblog/sept14.html
    5 Oct 2014: passes first a small bathroom:. This room looks quite new. I suspect that it used to contain the traditional water tank used in british houses, but. ... And some water damage above the boiler in the kitchen:. Pretty much everywhere one looks, except the
  4. 2 Oct 2014: A proof of this conjecture would—with the relations of Pandharipande and theauthor [4, 5]—lead to a new proof of the theorems of Morita [3] and Ionel [2] thatthe classes
  5. Festival.dvi

    https://www.dpmms.cam.ac.uk/~twk10/Festival.pdf
    1 Nov 2014: Most ideas simply do not survive their first brush with reality.The tragic condition of the remainder who then find themselves rejectedbecause they are too new, too old, politically unacceptable or
  6. Geodesic Polar Coordinates First, let us recall the definition. ...

    https://www.dpmms.cam.ac.uk/~jar60/GeometryHandout2.pdf
    5 Mar 2014: To do this, we define a new map ψp, whose domain is an open subset of TpU.Specifically, we let.
  7. Mathematical Tripos: Part IB SMP/Lent 2014 Statistics: Example Sheet…

    https://www.dpmms.cam.ac.uk/study/IB/Statistics/2013-2014/ex1.pdf
    24 Jan 2014: Find an injective function h on (0,) such that, writ-ing ψ = h(θ), the maximum likelihood estimator ψ̂ of the new parameter ψ isunbiased.
  8. A remark on the arithmetic invariant theory of hyperelliptic ...

    https://www.dpmms.cam.ac.uk/~jat58/hyperelliptic_orbits.pdf
    10 Oct 2014: In this way we give a new proof of [BG12b, Proposition11]. ... Springer-Verlag, New York, 1973.Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 73.
  9. On genus one curves of degree 5 with square-free discriminant

    https://www.dpmms.cam.ac.uk/~taf1000/papers/g1squarefree.html
    18 Jul 2014: We give new formulae for the invariants, and prove the equivalence of two different definitions of minimality.
  10. Rips Theory.dvi

    https://www.dpmms.cam.ac.uk/~hjrw2/Notes/rips.pdf
    18 Sep 2014: Then a new band complex can be created by replacing fbby fc δC f. ... If possible, choose b to have weight 1. Nowproduce the new band complex X′ as follows.
  11. WACT 2013 Towards a Notion of Lambda Monoid Martin ...

    https://www.dpmms.cam.ac.uk/~jmeh1/Research/Publications/2014/tnlm14.pdf
    2 Jan 2014: widely appreciated. In this paper I present a new take on the structure on the. ... do so. And what about m? The new m = λyzx.xyz also must have a definition.
  12. Part II Galois theory (2014–2015) Example Sheet…

    https://www.dpmms.cam.ac.uk/study/II/Galois/2014-2015/galois-2014-exa-4.pdf
    2 Dec 2014: For σ Sn define Rσ = txσ(1)u1 xσ(n)un wherethe ui are a new set of variables.
  13. Cluster algebras and mirror symmetry

    https://www.dpmms.cam.ac.uk/~mg475/clusters.pdf
    1 Aug 2014: New set of cluster variables is {A2, A3}.µ2:. A2A4 = A3 1, or A4 =1A1A2. ... A1A2. New set of cluster variables is {A3, A4}. Mark Gross Cluster algebras and mirror symmetry.
  14. Lent Term 2014 T.A. Fisher Number Fields: Example Sheet ...

    https://www.dpmms.cam.ac.uk/study/II/NumberFields/2013-2014/number_fields-14-1.pdf
    30 Jan 2014: Use unique factorisation in C[X] to construct a new solution tothis equation involving polynomials of smaller degree.
  15. MINIMAL MODELS FOR 6-COVERINGSOF ELLIPTIC CURVES TOM FISHER Abstract. …

    https://www.dpmms.cam.ac.uk/~taf1000/papers/minmodels6.pdf
    27 May 2014: Verlag, New York, 1992. [21] R. Hartshorne, Algebraic geometry, Graduate Texts in Mathematics, 52, Springer-Verlag,. ... New York-Heidelberg, 1977. [22] K. Hulek, Projective geometry of elliptic curves, Soc.
  16. Automorphy lifting for residually reducible l-adic Galois…

    https://www.dpmms.cam.ac.uk/~jat58/reducible_lifting.pdf
    16 Apr 2014: 8 An application to the Fontaine–Mazur conjecture 70. Introduction. In this paper we prove new automorphy lifting theorems for l-adic Galois representations over CM fieldssatisfying a self-duality hypothesis. ... However, there are a number of serious
  17. ON GENUS ONE CURVES OF DEGREE 5 WITHSQUARE-FREE DISCRIMINANT ...

    https://www.dpmms.cam.ac.uk/~taf1000/papers/g1squarefree.pdf
    18 Jul 2014: We. give new formulae for the invariants, and prove the equivalence of two different. ... Verlag, New York, 1994. University of Cambridge, DPMMS, Centre for Mathematical Sciences, Wilber-.
  18. TOPICS IN SET THEORY: Example Sheet 4 1 Department ...

    https://www.dpmms.cam.ac.uk/study/III/2014-15/TopicsinSetTheory/TST%20Example%20Sheet%204%202014.pdf
    19 Dec 2014: M[G] , a –sequence is providedby 〈(. G)α : α < ω1〉. For this, noticing that Q adds no new ω –sequences and.
  19. ON FAMILIES OF 7 AND 11-CONGRUENT ELLIPTIC CURVES TOM ...

    https://www.dpmms.cam.ac.uk/~taf1000/papers/congr7and11.pdf
    15 Apr 2014: In the case n = 7. these are the formulae given in [16], [26], but our method for finding them is new.In the case n = 11 the formulae themselves are new. ... We give a new proof of Theorem 1.1 and then extend to the case n = 11.Although we believe our
  20. RANKS OF QUADRATIC TWISTS OF ELLIPTIC CURVES by Mark ...

    https://www.dpmms.cam.ac.uk/~taf1000/papers/rankcongr.pdf
    13 Oct 2014: RANKS OF QUADRATIC TWISTS OF ELLIPTIC CURVES. by. Mark Watkins, Stephen Donnelly, Noam D. Elkies, Tom Fisher,Andrew Granville & Nicholas F. Rogers. Abstract. — We report on a large-scale project to investigate the ranks of ellipticcurves in a

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