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Page 1 of 7

Galois Groups and Fundamental Groups
  • Edited by Leila Schneps
  • Mathematical Sciences Research Institute
  • Coming soon
  • Expected online publication date:
    May 2025
    Print publication:
    21 July 2003
  • This book contains eight expository articles by well-known authors of the theory of Galois groups and fundamental groups. They focus on presenting developments, avoiding classical aspects which have already been described at length in the standard literature. The volume grew from the special semester held at the MSRI in Berkeley in 1999 and many of the results are due to work accomplished during that program. Among the subjects covered are elliptic surfaces, Grothendieck's anabelian conjecture, fundamental groups of curves and differential Galois theory in positive characteristic. Although the articles contain fresh results, the authors have striven to make them as introductory as possible, making them accessible to graduate students as well as researchers in algebraic geometry and number theory. The volume also contains a lengthy overview by Leila Schneps that sets the individual articles into the broader context of contemporary research in Galois groups.

  • Chapter 27 - Conclusion

  • from Section 6 - Postface
  • Edited by Keith A. Findley, University of Wisconsin, Madison, Cyrille Rossant, University College London, Kana Sasakura, Konan University, Japan, Leila Schneps, Sorbonne Université, Paris, Waney Squier, John Radcliffe Hospital, Oxford, Knut Wester, Universitetet i Bergen, Norway
  • Book:
    Shaken Baby Syndrome
    Published online:
    07 June 2023
    Print publication:
    08 June 2023, pp 397-399

  • Summary

    In 1971 Dr Norman Guthkelch hypothesised a causal link between shaking infants, a relatively common practice in the UK at the time, and findings of retinal and subdural haemorrhage with no or minimal of trauma (see Chapter 2). The link between shaking and a ‘triad’ of retino-dural haemorrhage and encephalopathy would come to be known as shaken baby syndrome (SBS). This book has taken a broad overview and analysis of the state of SBS, addressing global medical, scientific, social, and legal aspects of the determination.

  • Chapter 15 - When Lack of Information Leads to Apparent Paradoxes and Wrong Conclusions

  • from Section 3 - Science
  • Edited by Keith A. Findley, University of Wisconsin, Madison, Cyrille Rossant, University College London, Kana Sasakura, Konan University, Japan, Leila Schneps, Sorbonne Université, Paris, Waney Squier, John Radcliffe Hospital, Oxford, Knut Wester, Universitetet i Bergen, Norway
  • Book:
    Shaken Baby Syndrome
    Published online:
    07 June 2023
    Print publication:
    08 June 2023, pp 236-248

  • Summary

    This chapter reviews the evidence showing that short falls may sometimes cause the types of bleeding typically attributed to shaken baby syndrome. Focusing on one seminal article dismissing short falls as a possible cause for fatal injury in infants, it examines in detail the statistical and reasoning errors that allowed the authors to reach their erroneous conclusion, an exercise all the more useful in that these are widespread throughout the literature. Based on numerous publications, the chapter adduces evidence showing that in fact, although they are rare, short falls can be dangerous.

Shaken Baby Syndrome
  • Investigating the Abusive Head Trauma Controversy
  • Edited by Keith A. Findley, Cyrille Rossant, Kana Sasakura, Leila Schneps, Waney Squier, Knut Wester
  • Published online:
    07 June 2023
    Print publication:
    08 June 2023
  • Since the early 2000s, a growing body of scientific studies in neuropathology, neurology, neurosurgery, biomechanics, statistics, criminology and psychology has cast doubt on the forensic reliability of medical determinations of Shaken Baby Syndrome (SBS), more recently termed Abusive Head Trauma (AHT). Studies have increasingly documented that accidental short falls and a wide range of medical conditions, can cause the same symptoms and findings associated with this syndrome. Nevertheless, inaccurate diagnoses, unrealistic confidence expression, and wrongful convictions continue to this day. Bringing together contributions from a multidisciplinary expert panel of 32 professionals across 8 countries in 16 different specialties, this landmark book tackles the highly controversial topic of SBS, which lies at the intersection of medicine, science, and law. With comprehensive coverage across multiple disciplines, it explains the scientific evidence challenging SBS and advances efforts to evaluate how deaths and serious brain injuries in infants should be analysed and investigated.

Geometric Galois Actions
  • Volume 1, Around Grothendieck's Esquisse d'un Programme
  • Edited by Leila Schneps, Pierre Lochak
  • Published online:
    05 April 2013
    Print publication:
    10 July 1997
  • The first of two companion volumes on anabelian algebraic geometry, this book contains the famous, but hitherto unpublished manuscript 'Esquisse d'un Programme' (Sketch of a Program) by Alexander Grothendieck. This work, written in 1984, fourteen years after his retirement from public life in mathematics, together with the closely connected letter to Gerd Faltings, dating from 1983 and also published for the first time in this volume, describe a powerful program of future mathematics, unifying aspects of geometry and arithmetic via the central point of moduli spaces of curves; it is written in an artistic and informal style. The book also contains several articles on subjects directly related to the ideas explored in the manuscripts; these are surveys of mathematics due to Grothendieck, explanations of points raised in the Esquisse, and surveys on progress in the domains described there.

The Grothendieck Theory of Dessins d'Enfants
  • Leila Schneps
  • Published online:
    05 July 2011
    Print publication:
    28 July 1994
  • Dessins d'Enfants are combinatorial objects, namely drawings with vertices and edges on topological surfaces. Their interest lies in their relation with the set of algebraic curves defined over the closure of the rationals, and the corresponding action of the absolute Galois group on them. The study of this group via such realted combinatorial methods as its action on the Dessins and on certain fundamental groups of moduli spaces was initiated by Alexander Grothendieck in his unpublished Esquisse d'un Programme, and developed by many of the mathematicians who have contributed to this volume. The various articles here unite all of the basics of the subject as well as the most recent advances. Researchers in number theory, algebraic geometry or related areas of group theory will find much of interest in this book.

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