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Oscar Randal-Williams
https://www.dpmms.cam.ac.uk/~or257/travel.htm25 Apr 2024: 30. th. November 2021 - Seminar, Delhi/online. (Slides). 24. th. November 2021 - Colloquium, Sheffield/online. ... 26. th. -27. th. October 2011 -24. th. -25. th. October 2011 - Glasgow. -
MATHEMATICAL TRIPOS PART III (2023–24) Elliptic Curves - Example ...
https://www.dpmms.cam.ac.uk/~taf1000/ell_curves-24-1.pdf26 Jan 2024: MATHEMATICAL TRIPOS PART III (2023–24). Elliptic Curves - Example Sheet 1 of 4 T.A. ... Show that the group Aut(E) of auto-morphisms of E is a non-abelian group of order 24. -
MATHEMATICAL TRIPOS PART III (2023–24) Elliptic Curves - Example ...
https://www.dpmms.cam.ac.uk/~taf1000/ell_curves-24-2.pdf14 Feb 2024: MATHEMATICAL TRIPOS PART III (2023–24). Elliptic Curves - Example Sheet 2 of 4 T.A. -
Department of Pure Mathematics and Mathematical Statistics
www.dpmms.cam.ac.uk/study/IA/AnalysisI/previous.html24 Jan 2024: DPMMS, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WB. Page last modified: Wednesday, 06-Mar-2019 09:34:24 GMT. -
Hanneke Wiersema
https://www.dpmms.cam.ac.uk/~hw600/publications.html27 Sep 2023: Association for Women in Mathematics Series, vol 24. Springer, Cham, 2021. -
MATHEMATICAL TRIPOS PART III (2023–24) Elliptic Curves - Example ...
https://www.dpmms.cam.ac.uk/~taf1000/ell_curves-24-4.pdf11 Mar 2024: MATHEMATICAL TRIPOS PART III (2023–24). Elliptic Curves - Example Sheet 4 of 4 T.A. -
MATHEMATICAL TRIPOS PART III (2023–24) Elliptic Curves - Example ...
https://www.dpmms.cam.ac.uk/~taf1000/ell_curves-24-3.pdf23 Feb 2024: MATHEMATICAL TRIPOS PART III (2023–24). Elliptic Curves - Example Sheet 3 of 4 T.A. -
Department of Pure Mathematics and Mathematical Statistics
www.dpmms.cam.ac.uk/study/II/Riemann/previous.html12 Oct 2023: Example sheet 1(updated 30th Jan 2006). 2004 - 2005. updated 24 May 2005). -
Michaelmas Term 2023-24 Numbers and Sets: Examples Sheet 3 ...
www.dpmms.cam.ac.uk/study/IA/Numbers%2BSets/2023-2024/numset3_2023.pdf6 Nov 2023: Michaelmas Term 2023-24. Numbers and Sets: Examples Sheet 3 of 4. -
Michaelmas Term 2023-24 Numbers and Sets: Examples Sheet 2 ...
www.dpmms.cam.ac.uk/study/IA/Numbers%2BSets/2023-2024/numset2_2023.pdf23 Oct 2023: Michaelmas Term 2023-24. Numbers and Sets: Examples Sheet 2 of 4. -
Talks | Mihalis Dafermos Μιχάλης Δαφέρμος
www.dpmms.cam.ac.uk/~md384/past-and-upcoming-talks.html19 Jun 2024: Summer School in Nonlinear Partial Differential Equations, ΕΜΠ, Athens, 20–24 June 2017. ... Conference on Hyperbolic Models in Astrophysics and Cosmology, Newton Institute, 24 June 2003. -
Michaelmas Term 2023-24 Numbers and Sets: Examples Sheet 4 ...
www.dpmms.cam.ac.uk/study/IA/Numbers%2BSets/2023-2024/numset4_2023.pdf16 Nov 2023: Michaelmas Term 2023-24. Numbers and Sets: Examples Sheet 4 of 4. ... Is there such a bijection that isorder-preserving (i.e. x < y implies f(x) < f(y) )? julia.wolf@dpmms.cam.ac.uk 16th November 2023. Michaelmas Term 2023-24. 15. -
Michaelmas Term 2023-24 Numbers and Sets: Examples Sheet 1 ...
www.dpmms.cam.ac.uk/study/IA/Numbers%2BSets/2023-2024/numset1_2023.pdf12 Oct 2023: Michaelmas Term 2023-24. Numbers and Sets: Examples Sheet 1 of 4. ... julia.wolf@dpmms.cam.ac.uk 12th October 2023. Michaelmas Term 2023-24. 15. All integers greater than one but less than 100 are put into a hat and two are -
Lent Term 2024 O. Randal-Williams IB Groups, Rings, and ...
www.dpmms.cam.ac.uk/study/IB/GroupsRings%2BModules/2023-2024/Sheet3.pdf15 Jan 2024: X4 2X 2, X4 18X2 24, X3 9, X3 X2 X 1, X4 1, X4 4. -
Mich. 2023 SJW Representation Theory — Examples Sheet 2 ...
www.dpmms.cam.ac.uk/study/II/RepresentationTheory/2023-2024/2023ex2.pdf25 Oct 2023: g]| 1 21 42 56 24 24α 14 2 0 1 0 0β 15 1 1 0 1 1γ 16 0 0 2 2 2. -
Ioannis KontoyiannisChurchill Professor of Mathematics of Information …
https://www.dpmms.cam.ac.uk/~ik355/web-list.pdf17 May 2024: 2, pp. 317-338, July 2020. 24. L. Gavalakis and I. Kontoyiannis. -
Jack Thorne
https://www.dpmms.cam.ac.uk/~jat58/17 May 2024: q. (X) with two marked points. Documenta Math. 24 (2019), pp. -
Wendelin Werner's webpage
https://www.dpmms.cam.ac.uk/~ww295/21 Jun 2024: In 2023-24, I gave a Part III course on "lattice models" in the 2023 Michaelmas Term. -
Michaelmas Term 2023 T.A. Fisher Galois Theory: Example Sheet ...
www.dpmms.cam.ac.uk/study/II/Galois/2023-2024/galois_theory-23-3.pdf7 Nov 2023: Find a monic polynomial over Z ofdegree 4 whose Galois group is V = {id, (12)(34), (13)(24), (14)(23)}.(ii) Let f Z[X] be monic and separable of degree -
Geometry-of-numbers over number fields and the density of ADEfamilies …
https://www.dpmms.cam.ac.uk/~mo512/nf.pdf23 May 2024: 1. 5.1 Averaging and reductions. 21. 5.2 Slicing. 24. 5.3 Congruence conditions. -
The Ward Correspondence and StationaryAxisymmetric Spacetimes…
https://www.dpmms.cam.ac.uk/~gt306/mp1.pdf16 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. -
Elliptic Curves and Modularity Jack A. Thorne Abstract We ...
https://www.dpmms.cam.ac.uk/~jat58/EMS.pdf29 Sep 2023: 24, 14].). Our first goal in this article is to state the a version of this modularity conjecture forelliptic curves over a general number field K in as down to earth ... 24] F. Grunewald, H. Helling, J. Mennicke, SL2 over complex quadratic number fields. -
STATISTICAL MODELLING Part IIC / Michaelmas 2023Example Sheet 4 ...
www.dpmms.cam.ac.uk/study/II/StatisticalModelling/2023-2024/ExampleSheet4.pdf27 Nov 2023: 3. Mother’s Father’s educationeducation 1 2 3 4. 1 81 3 9 112 14 8 9 63 43 7 43 184 21 6 24 87. -
Department of Pure Mathematics and Mathematical Statistics
www.dpmms.cam.ac.uk/study/IA/AnalysisI/24 Jan 2024: Page last modified: Wednesday, 06-Mar-2019 09:34:24 GMT. -
Yizheng Yuan
https://www.dpmms.cam.ac.uk/~yy547/16 Nov 2023: Pathwise SLE, Berlin, 24–26 April 2018. Contact:. Department of Pure Mathematics and Mathematical Statistics. -
Dr Rachel Camina
https://www.dpmms.cam.ac.uk/~rdc26/8 Nov 2023: Recognising nilpotent groups, with Alan R. Camina, J. Algebra 300 (2006) 16-24. -
Kähler Manifolds and the Calabi Conjecture Grigalius Taujanskas…
https://www.dpmms.cam.ac.uk/~gt306/mini2.pdf16 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 -
A.G. Kovalev: teaching materials
https://www.dpmms.cam.ac.uk/~agk22/teaching.html12 Oct 2023: updated 24-Feb: a typo corrected and the picture improved). Part IB: Geometry (Lent Term 2018). -
CONGRUENCES BETWEEN MODULAR FORMS JACK A. THORNE Abstract. We ...
https://www.dpmms.cam.ac.uk/~jat58/congruences.pdf11 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 -
MINIMISATION OF 2-COVERINGS OF GENUS 2 JACOBIANS TOM FISHER ...
https://www.dpmms.cam.ac.uk/~taf1000/papers/g2minimise.pdf12 Sep 2023: Comb. 24, 235-265 (1997), http://magma.maths.usyd.edu.au/magma/. [CF] J.W.S. Cassels and E.V. Flynn, Prolegomena to a middlebrow arithmetic of curves of genus. -
MAT 449: Representation theory These lecture notes are in ...
https://www.dpmms.cam.ac.uk/~jcsl5/notes.pdf24 Oct 2023: The following lemma is immediate from the definition. Lemma 6.24. Let V,W be G-representations. ... By Lemma 6.24, UG = HomG(V,W). By Lemma 6.25, 〈χV ,χW〉 = 〈1,χU〉. -
COMPUTING THE CASSELS-TATE PAIRINGON THE 2-SELMER GROUP OF A ...
https://www.dpmms.cam.ac.uk/~taf1000/papers/genus2ctp.pdf14 Sep 2023: Consider the quadraticforms Qj k[u0,. ,un1] defined by. (24) ξ(u0 u1θ. ... 26) NL/k(a) = det. (TrL/k. (aθiβjf ′(θ). )i,j=0,.,n1. )and (24) is satisfied with. -
NUMBER FIELDS, LENT 2024 PÉTER P. VARJÚ Disclaimer,…
https://www.dpmms.cam.ac.uk/~pv270/NumberFields.pdf8 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. -
Automata & Formal LanguagesMichaelmas Term 2023 Part II of ...
www.dpmms.cam.ac.uk/study/II/AutomataAndFormalLanguages/2023-2024/M23_AFL_ES2.corrected.pdf23 Oct 2023: 24) Give a context-free grammar in Chomsky normal form for the languages {amb2mck ; m, k 1} and{ambkam ; m, k 1}. -
Cubical small-cancellation theory and large-dimensional hyperbolic…
https://www.dpmms.cam.ac.uk/~mcr59/thesis.pdf22 Aug 2023: 18. 2.2 Classical small-cancellation theory. 222.2.1 Rips’ exact sequence. 24. 3 A cubical Rips construction 273.1 Introduction. ... Example 2.1.24. Let S̃ = H2 be be the universal cover of a closed surface S with negative Eulercharacteristic, and let -
REPRESENTATION THEORY SIMON WADSLEY Contents Lecture 1 21.…
https://www.dpmms.cam.ac.uk/~sjw47/2023Lectures.pdf29 Nov 2023: Topological groups 53Lecture 20 56Lecture 21 58Lecture 22 619. Character table of GL2(Fq) 62Lecture 23 64Lecture 24 67. ... y1 and x2 6= y2 there is g G such thatg x1 = x2 and g y1 = y2.24 Equivalently G has only two orbits on X X. -
HX1Lycée Louis le Grand 2015-2016 Chimie Classe de Mathématiques ...
https://www.dpmms.cam.ac.uk/~aptm3/docs/lecture-notes/Chimie-Sup.pdf31 Aug 2023: 23II Exemple du fer. 23III Exploitation d’un diagramme potentiel-pH. 24. ii. ... 24. CHAPITRE 9. DIAGRAMMES POTENTIEL-pH. 0 5 10 15. 0.5. 0. -
Everywhere local solubility for hypersurfaces in products of…
https://www.dpmms.cam.ac.uk/~taf1000/papers/probs22.html15 Sep 2023: Everywhere local solubility for hypersurfaces in products of projective spaces (24 pages) We also make available the data files for the experiments described in Section 6, with H =and 1000. -
Algebraic TopologyOscar Randal-Williams…
https://www.dpmms.cam.ac.uk/~or257/teaching/notes/at.pdf31 Jan 2024: 24 Chapter 3 Covering spaces. (iv) Let y U be another point, and u : I U a path from x to y. -
EQUIVARIANT LINE BUNDLES WITH CONNECTION ON THE p-ADIC UPPER ...
https://www.dpmms.cam.ac.uk/~sjw47/Drinfeld-I.pdf14 Sep 2023: 2.3. Quaternions. We use [24, 1.4] and [23] as basic references for this material.By [23, Proposition 12.5b, Theorem 17.10] there is a central division algebra Dover ... contained in the intersection given in the statement. By a result of Riehm [26], -
Random Thoughts on Machines and Computability Thomas Forster January…
https://www.dpmms.cam.ac.uk/~tef10/cam_only/blog.pdf29 Jan 2024: Random Thoughts on Machines and. Computability. Thomas Forster. January 29, 2024. Contents. 1 Functions in intension and in extension 41.1. and Why I was a traumatised Child. 41.2 Functions in intension and in extension, and Slide Rules. 5. 2 -
GLOBAL SECTIONS OF EQUIVARIANT LINE BUNDLES ON THE p-ADIC ...
https://www.dpmms.cam.ac.uk/~sjw47/Drinfeld.pdf20 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 ) -
Department of Pure Mathematics and Mathematical Statistics
www.dpmms.cam.ac.uk/study/IB/LinearAlgebra/previous.html16 Oct 2023: Linear Algebra. Linear Algebra. Example sheets from previous years. 2022-2023. 2021-2022. 2020-2021. Lecture Notes. 2019-2020. 2018 - 2019. 2017 - 2018. 2016 - 2017. 2015 - 2016. 2014 - 2015. 2013 - 2014. 2012 - 2013. 2010 - 2011. 2009 - 2010. 2008 - -
Part IB - Groups, Rings, and Modules
https://www.dpmms.cam.ac.uk/~or257/teaching/notes/GRM.pdf31 Jan 2024: 24. Theorem. The alternating groups An are simple for n 5 (also for n = 2, 3). -
HX1Lycée Louis le Grand 2015-2016 Mathématiques Classe de…
https://www.dpmms.cam.ac.uk/~aptm3/docs/lecture-notes/Mathematiques-Sup.pdf31 Aug 2023: Proposition 1.24 (Linéarisation de cosn θ). n N, θ R. cosn θ =(eiθ eiθ. ... Proposition 3.24. L’applicationP(E) {0, 1}. E. A 7 1Aest une bijection. -
MP∗2Lycée Louis le Grand 2016-2017 Mathématiques Classe de…
https://www.dpmms.cam.ac.uk/~aptm3/docs/lecture-notes/Mathematiques-Spe.pdf31 Aug 2023: 24 Anneaux 126I Généralités. 126II L’anneau Z/nZ. 127III Caractéristique d’un corps. ... Alors XY Z (XY. )Z. Proposition 6.24. C0 (R,R) R. Démonstration. -
HX1Lycée Louis le Grand 2015-2016 Physique Classe de Mathématiques ...
https://www.dpmms.cam.ac.uk/~aptm3/docs/lecture-notes/Physique-Sup.pdf31 Aug 2023: 93III Action d’un champ magnétique sur un moment magnétique. 94. 24 Induction 97I Lois de l’induction. ... R2. Req. Vocabulaire 6.24. On dit que le pont est équilibré lorsque la tension aux bornes de ()est nulle. -
Proofs for some results inTopics in Analysis T. W. ...
www.dpmms.cam.ac.uk/study/II/TopicsinAnalysis/2023-2024/Caesar.pdf25 Oct 2023: 2 =. 11. 1 dx =nj=1. Aj. 24. (iii) We have 11f(x) dx. -
Part III Functional Analysis András Zsák Michaelmas 2023 Contents…
https://www.dpmms.cam.ac.uk/~az10000/2023-mich-partiii-func-anal-notes.pdf28 Nov 2023: Part III Functional Analysis. András Zsák. Michaelmas 2023. Contents. 1 The Hahn–Banach extension theorems 1. 2 The dual space of Lp(µ) and of C(K) 7. 3 Weak topologies 12. 4 Convexity 17. 5 Banach algebras 18. 6 Holomorphic functional -
Topics in Analysis T. W. Körner October 25, 2023 ...
www.dpmms.cam.ac.uk/study/II/TopicsinAnalysis/2023-2024/Topic.pdf25 Oct 2023: 24. Theorem 9.6. We continue with the notation of Theorem 9.5.(i) Aj 0 for each 1 j n.(ii).
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