707 research outputs found
Reflections on the life and work of Frank Leslie
No full textFrank Matthews Leslie was born on 8 March 1935 in Dundee, Scotland. Following his graduation, Frank left for the University of Manchester, to begin postgraduate study in continuum mechanics. After his period in Manchester, Frank was lucky enough to obtain a fellowship to spend a year at the Massachusetts Institute of Technology (MIT). On his return to the UK, Frank was appointed by AlbertGreen to the staff of the Mathematics Department at thenewly created University of Newcastle. In October 1968 they moved to Glasgow, and Frank began work in the Department of Mathematics at Strathclyde University. He was to spend the rest of his life there
The Drama of Reform: Theology and Theatricality, 1461–1553
No full textThis review considers The Drama of Reform by Tamara Atkin
Stability of domain walls in cylindrical layers of smectic C liquid crystals
No full textThe stability of the static domain wall reported by Atkin and Stewart for an infinite sample of concentric, cylindrical layers of smectic C liquid crystals arranged with a fixed inner radius a > 0 is considered. A criterion is derived as a test for stability. Various estimates on the relative magnitudes of the smectic elastic constants lead to physically meaningful stability results. The occurrence of such a wall indicates the relative magnitudes of the combinations of constants A12 ? A21 and A12 andplus; A21 andplus; 2A11 and, in a special case, can indicate when A12 andap; A21
Correction to: COVID-19 biomarkers for severity mapped to polycystic ovary syndrome
No full textFollowing publication of the original article, the
authors would like to correct the author group with
regards to the equal contributions: Stephen L. Atkin
and Alexandra E. Butler should be listed as joint senior
authors.
The author group has been updated above and the original article has been corrected
Correction to: COVID-19 biomarkers for severity mapped to polycystic ovary syndrome
No full textFollowing publication of the original article, the
authors would like to correct the author group with
regards to the equal contributions: Stephen L. Atkin
and Alexandra E. Butler should be listed as joint senior
authors.
The author group has been updated above and the original article has been corrected
Rational points on hyperelliptic Atkin-Lehner quotients of modular curves and their coverings
No full textWe complete the computation of all Q-rational points on all the 64 maximal Atkin-Lehner quotients X0(N)∗ such that the quotient is hyperelliptic. To achieve this, we use a combination of various methods, namely the classical Chabauty–Coleman, elliptic curve Chabauty, quadratic Chabauty, and the bielliptic quadratic Chabauty method (from a forthcoming preprint of the fourth-named author) combined with the Mordell-Weil sieve. Additionally, for square- free levels N, we classify all Q-rational points as cusps, CM points (including their CM field and j-invariants) and exceptional ones. We further indicate how to use this to compute the Q-rational points on all of their modular coverings
Modular symbols over number fields
No full textLet K be a number field, R its ring of integers. For some classes of fields, spaces of cusp forms of weight 2 for GL(2;K) have been computed using methods based on modular symbols. J.E. Cremona [9] began the programme of extending the classical methods over Q to the case of imaginary quadratic fields. This work was continued by some of his Ph.D. students [35, 6, 22], and results have been obtained for some imaginary quadratic fields with small class number. More recently, P. Gunnells and D. Yasaki [18] have developed related algorithms for real quadratic fields.
The aim of this thesis is to contribute to the extension of the modular symbols method, when possible developing algorithms and implementations for effective computations. Some parts of the theory are purely algebraic and can be extended to all number fields. We generalise the theory for cusps and Manin symbols; we also describe a generalisation of Atkin-Lehner involutions and study other normaliser elements. On the other hand, all previous explicit computations for the imaginary quadratic field case were done only for specific fields. In the last part of this thesis we begin work towards a general implementation of the techniques used in this case. In particular, we are able to compute a fundamental domain of the hyperbolic 3-space for any imaginary quadratic field.
Implementations of the algorithms described in this thesis have been written by the author in the open-source mathematics software Sage [31]
Tribute to a Law Teacher with a Heart and a Social Conscience
No full textThe author, having served as Professor at the Victoria University of Wellington Faculty of Law alongside him, provides a tribute to his colleague Professor Bill Atkin. The author commends Professor Atkin's role as an influential scholar and teacher in the somewhat incoherent area of family law, stating that Professor Atkin is an outstanding academic lawyer who has made a significant contribution to the improvement of the law in New Zealand
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