IMU ON THE WEB:
About The Future of Mathematical Journals
--Jean-Pierre BOURGUIGNON
(CNRS-Institut des Hautes Études Scientifiques, Bures-sur-Yvette, France)

Recently I was invited to take part in a workshop on "The Future of
Mathematical Journals" held at MSRI at the initiative of the American
Mathematical Society and the London Mathematical Society. We all know
that this question is of paramount importance for the development of
our discipline. It has many aspects, some quite technical, some
economical and some political. The point I stressed in my presentation
at the workshop was the need to approach the problem using a systemic
approach, as it is typically a question in which secondary effects can
have, in the long run, the same impact as primary effects.

As we all know, mathematicians developed a usage of mathematical
journals that is, in many respects, specific to them. Journals are
supported by the community in the sense that submitting articles to
journals is free, and referees evaluate articles also for free,
although this work is sometimes extremely time consuming as it
requires thorough checking of content. Also, because of the long term
value of published articles, mathematicians care about the long term
accessibility to mathematical literature.

This model has been recently under great pressure for several reasons,
all connected to the new possibilities offered by internet to access
information. The question of "free access" has become a central issue.
It is not an easy one as it challenges the economical models on which
journals have been based in the last decade. It can actually be a
threat to learned society or academy-based publishers, who do not have
the financial plasticity of larger publishing houses.

My main concern is related to the fact that, in recent years,
mathematicians have been working under an increasing pressure, like
many other members of the academic community, because of the squeeze
of free time, the increasing role of funding coming through projects,
as well as the pressure to publish, their performance being more and
more rated on the basis of bibliographic data.

In my view this introduces a real threat on content. Indeed,
mathematicians can devote less and less time to it because the
pressure to publish quickly is building up, but also because a lot of
time traditionally dedicated to evaluating the content of articles is
taken away by the demand for evaluating projects, structures, career
development, etc; in the last twenty years, these demands have grown
considerably at the expense of genuinely reading articles. The risk is
that more and more articles are read less carefully.

Another aspect of the threat comes from the mathematical community
itself: in the constrained environment we live in, more and more
published articles tend to be "almost" correct in the sense that the
true experts in the field can determine how some proofs (or some
statements) have to be modified (most often slightly) to make complete
sense, and to achieve what they promise.

The existence of "grey areas" in publications poses a real threat to
the development of the mathematical enterprise, since it may prevent
newcomers, and I think typically of young mathematicians from
communities that are being formed in emerging countries, from
participating in the advancement of mathematics at the right level.
This is both unfair and unhealthy for the discipline. As responsible
members of a scientific community, we should not tolerate that such a
situation develops, and fight against this tendency with determination.
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