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4 Jun 2021: On pairs of 17-congruent elliptic curves (24 pages) The Magma files accompanying this paper are.

15 Oct 2021: g|t=0 = dt2 h (3.24)tg|t=0 = 2k (3.25). provided > 0 is sufficiently small. ... 5. To establish local uniqueness we show that given any development of (Σ,h,k) itis possible to construct wave coordinates such that (3.24), (3.25) hold.

15 Oct 2021: Part III Analysis of PDE: Rough syllabus. Claude Warnick. April 24, 2019.

15 Oct 2021: 24 Chapter 2 Distributions. 2.2 Derivatives of distributions. Things are looking good for Property ii) because the dual space to a vector space isnaturally a vector space.

15 Oct 2021: 24 Chapter 1 Lebesgue Integration Theory. The final of Littlewood’s principles is given flesh by.

15 Oct 2021: Corollary 2.24. Suppose 1 < p 6 , and let (fj)j=1 be a sequence of functions fj Lp(Rn) satisfying.

8 Oct 2021: 24. and hecne X|fn(x)|pdµ(x). (sup. ‖g‖Lp′1. Xf(x)g(x)dµ(x). )p. If the rhs is finite, the monotone convergence Theorem applied to the

21 Sep 2021: 24) 2{i,j,b1,. ,bs, i} 4{i, i,b1,. ,bs,j} 2{j,i,b1,. ,bs, i} = 4A(i,j).If r,s > 1 then we instead obtain. ... bs by a2,. ,ar,a1in (24). This gives the factor (1)r. We deduce the result for [[ ]] from that for [ ] as before.

15 Oct 2021: M2PM1: Real Analysis. Dr. Claude Warnick. August 24, 2017. Abstract. In first year analysis courses, you learned about the real numbers andwere introduced to important concepts such as completeness; convergenceof sequences

30 Nov 2021: 31. R(Σ6) = Q[κ1,κ2]/(127κ31 2304κ1κ2, 113κ41 36864κ22)with κ3 = 52304κ. 31,κ4 =. 573728κ. 41. (and has computed R(Σg) for g < 24).9. Higher dimensions. ... Selecta Math. (N.S.) 24 (2018), no. 4, 3835–3873. D. Baraglia, Tautological