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  2. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=5
    14 Jul 2024: 2023). 24. (doi: 10.2422/2036-2145.202005_006). A new proof of the bunkbed conjecture in the p1 limit.
  3. 23 May 2024: 1. 5.1 Averaging and reductions. 21. 5.2 Slicing. 24. 5.3 Congruence conditions.
  4. 16 Jan 2024: where. νabcd =1. 24. det(η)εabcd. The coordinates (w,z,w̃, z̃) are called double null coordinates. ... wγn = z̃γn1 and zγn = w̃γn1. (24). The Birkhoff factorization F = f̃1f is given by4.
  5. 16 Jan 2024: Kähler Manifolds and the Calabi Conjecture. Grigalius Taujanskas. Mathematical InstituteOxford University. Radcliffe Observatory QuarterOxford OX2 6GG, UK. Grigalius Taujanskas CONTENTS. Contents. 1 Introduction 2. 2 Preliminaries 22.1 Vector
  6. NUMBER FIELDS, LENT 2024 PÉTER P. VARJÚ Disclaimer,…

    https://www.dpmms.cam.ac.uk/~pv270/NumberFields.pdf
    8 Mar 2024: vd). Lemma 24. All fundamental domains of a lattice have the same vol-ume. ... We first prove half of the lastclaim. 24 PÉTER P. VARJÚ.
  7. CONGRUENCES BETWEEN MODULAR FORMS JACK A. THORNE Abstract. We ...

    https://www.dpmms.cam.ac.uk/~jat58/congruences.pdf
    11 Jan 2024: τ) = q. n=1. (1 qn)24. (also a modular form of weight 12 – in fact, E12, form a basis for the C-vectorspace M12(SL2(Z)) of modular forms of
  8. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=112%2CCONCAT%280x716b767071%2C%28SELECT%20%28ELT%282383%3D2383%2C1%29%29%29%2C0x7178767871%2CFLOOR%28RAND%280%29%2A2%29%29x%20FROM%20INFORMATION_SCHEMA.PLUGINS%20GROUP%20BY%20x%29a%29
    14 Jul 2024: 24,. 159. (doi: 10.3934/dcds.2009.24.159). Distributions associated with general runs and patterns in hidden Markov models. ... 2007). 24,. 6201. (doi: 10.1088/0264-9381/24/24/004). Representations of the quantum torus and applications to finitely
  9. Algebraic TopologyOscar Randal-Williams…

    https://www.dpmms.cam.ac.uk/~or257/teaching/notes/at.pdf
    31 Jan 2024: 24 Chapter 3 Covering spaces. (iv) Let y U be another point, and u : I U a path from x to y.
  10. Homeomorphisms of Euclidean space

    https://www.dpmms.cam.ac.uk/~or257/slides/Bonn2023.pdf
    2 Jan 2024: 46. 48. 50. 52. 6 8 10 12 14 16 18 20 22 24 26 28 30 32. ... 38. 40. 42. 44. 46. 48. 50. 52. 54. 56. 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46
  11. Part IB - Groups, Rings, and Modules

    https://www.dpmms.cam.ac.uk/~or257/teaching/notes/GRM.pdf
    31 Jan 2024: 24. Theorem. The alternating groups An are simple for n 5 (also for n = 2, 3).

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