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15 Oct 2019: Example sheet 2 (updated 24 November 2004). ... Example sheet 3 (updated 24 November 2004).

15 May 2019: 24 (2015), 480--485 (with I. B. Leader) Monochromatic infinite sumsets, submitted (with P.

30 Oct 2019: 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.

2 Nov 2019: π2. 3. (1 24. n=1. σ1(n)qn. ). Explain why G2(z) is not a modular form of weight 2.

8 May 2019: Grants held. 2005-2008 EPSRC Postdoctoral Fellowship Grant No. EP/C527348/1. Teaching. As an Affliated Lecturer I give 24 lectures a year for the Cambridge University Faculty of Mathematics inaddition

28 Nov 2019: 4. Let E2(z) = 1 24. n=1 σ1(n)qn = (3/π2)G2(z) as in sheet 2, Q8.

6 Oct 2019: 24. Questions? 24. Which moduli spaces? Homological stability. Stable cohomology. Beyond stable homology.

18 Nov 2019: Find a monic polynomial over Z of degree 4 whoseGalois group is V = {e, (12)(34), (13)(24), (14)(23)}.

31 Oct 2019: 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.

10 Jan 2019: 1 21 42 56 24 24α 14 2 0 1 0 0β 15 1 1 0 1 1γ 16 0 0 2 2 2.

22 Feb 2019: X4 2X 2, X4 18X2 24, X3 9, X3 X2 X 1, X4 1, X4 4.

2 Nov 2019: This provesthe uniqueness, i.e. that if d exists then it must be expressed by (1.24) in local coordinates. ... So let d′ denote the exterior differentiation constructed asin (1.24), but using different choice of local coordinates.

11 Nov 2019: 24 alexei kovalev. with the local complex coordinate z = z2/z1 on U1, and ζ = z1/z2 on U2, and ζ = 1/z whenz 6= 0.

5 Oct 2019: Most. of the courses are 24 lectures long and delivered at the rate of 3 a week,but some are 16 lectures long and delivered at the rate of 2 a

24 Dec 2019: These arecopies of X0(m) for m = 19, 20, 21, 24 and 32. ... Proof. This is [AR, Theorem 24.1]. The proof works by analysing the exact se-.

1 May 2019: 8.2. Pushforward along an open embedding. We now recall from [8] thatweak holonomicity is generally not stable under pushforward either.For this, recall from [24, Definition 13.1.1] that

11 Mar 2019: We note that by Lemma 2.24 each component grλ G is an abelian group. ... Since Gt/Gt+ iscentral in G/Gt+ (Lemma 2.24) we obtain. gλµGt+ = gλgµGt+ = hGt+.

8 Nov 2019: Theorem 2.24. If X is a path-connected, locally simply connected2 topolog-ical space, then there exists a universal cover p X̃ X. ... 24. Example 2.28. Example 2.20 tells us that π1(S1, 1) Z.

3 Nov 2019: Date: October 24, 2019.1. In Section 2, we begin by proving the analogue of the theorem of Poonen and Voloch forhypersurfaces in products of projective spaces:.

27 Oct 2019: Lemma 3.24. The sphere S = colim Sn is contractible. Sketch proof.