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31 Jan 2024: Algebraic TopologyOscar Randal-Williams. https://www.dpmms.cam.ac.uk/or257/teaching/notes/at.pdf. 1 Introduction 11.1 Some recollections and conventions. 21.2 Cell complexes. 3. 2 Homotopy and the fundamental group 42.1 Homotopy. 42.2 Paths. 72.3

20 Dec 2023: GLOBAL SECTIONS OF EQUIVARIANT LINE BUNDLES ON. THE p-ADIC UPPER HALF PLANE. KONSTANTIN ARDAKOV AND SIMON WADSLEY. Abstract. Let F be a finite extension of Qp, let F be Drinfeld’s upper half-plane over F and let G0 the subgroup of GL2(F )

9 Nov 2023: cross-sections C1 and C2 yieldsκ. 2π[δSC2 δSC1 ] =. ξaδCa =. δTabξ. akbhdV dn2x. where ka is the tangent to the affinely parametrized generatorsof the horizon. ... Since. ka =1. κVξa. this is equivalent to. V2SvNV 2. 2πκ.

1 Feb 2023: Geometric inverse problems. with emphasis on two dimensions. Gabriel P. Paternain, Mikko Salo, Gunther Uhlmann. iii. To our families and all who have supported us. This material has been published by Cambridge University Press & Assessment

30 Aug 2022: Partial Solutions for Exercises inNaive Decision Making. T. W. Körner. 1. 2. Introduction. Here is a miscellaneous collection of hints, answers, partial answersand remarks on some of the exercises in the book. I have writtenin haste in the hope

19 Jan 2021: Profinite Groups. and Group Cohomology. Gareth Wilkes. Part III Lent Term 2021. Introduction. Much of the story of pure mathematics can be expressed as a desire to answerthe question ‘When are two objects different?’. Showing that two objects

20 Dec 2018: Coding and Cryptography. T. W. Körner. December 20, 2018. Transmitting messages is an important practical problem. Coding theoryincludes the study of compression codes which enable us to send messagescheaply and error correcting codes which ensure

4 Apr 2018: Proc. London Math. Soc. (3) 115 (2017) 1118–1148 C2017 London Mathematical Societydoi:10.1112/plms.12064. Hopf measuring comonoids and enrichment. Martin Hyland, Ignacio López Franco and Christina Vasilakopoulou. Abstract. We study the existence

17 Mar 2017: Let hA(x) = Px(TA < ) and kA(x) = Ex[TA]. Theorem 2.2. ... kA(x) = 0 x A. QkA(x) =y. qxykA(y) = 1 x / A.

25 May 2016: The Effective Topos. J.M.E. HylandDepartment of Pure Mathematics, Cambridge, England. 0 IntroductionThe subject of this paper is the most accessible of a series of toposes whichcan be constructed from notions of realizability: it is that based on