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ReseaRch Quality assuRance foR the futuRe a ... - Lund University

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Panel 13 – PHYSICS / MATHEMATICS<br />

5.7 Overall assessment<br />

The current state of <strong>the</strong> Centre of Ma<strong>the</strong>matics gives <strong>the</strong> impression of a<br />

loosely connected collection of individuals and individual groups. Some<br />

of <strong>the</strong>m have been outstanding, but have lost capacity during <strong>the</strong> last<br />

decade. Some are still very good, but have to fight with o<strong>the</strong>r burdens.<br />

There is surprisingly little contact between <strong>the</strong>m, even if this would be<br />

easily possible. A restructuring of <strong>the</strong> Centre of Ma<strong>the</strong>matics, thinking<br />

carefully about what is necessary for a good education, what may be <strong>the</strong><br />

main topics, which cooperate with each o<strong>the</strong>r and, at <strong>the</strong> same time, can<br />

get or maintain international reputation, seems to be really necessary.<br />

In spite of <strong>the</strong> loss of outstanding analysts, classical ma<strong>the</strong>matical analysis<br />

still maintains a strong position in <strong>Lund</strong>, as in Sweden in general. But<br />

even here, <strong>the</strong> combination of <strong>the</strong>se fields at <strong>the</strong> Centre of Ma<strong>the</strong>matics<br />

seems to be accidental. Some fundamental disciplines such as topology,<br />

algebraic geometry, and logic are missing. Some central disciplines for<br />

application, which are also missing, are for example stochastic analysis,<br />

which would provide a natural link between statistics, probability and<br />

measurement <strong>the</strong>ory, functional analysis, ma<strong>the</strong>matical physics, ma<strong>the</strong>matical<br />

biology and ma<strong>the</strong>matical finance. We believe, that research and<br />

cooperation within <strong>the</strong> MC and with <strong>the</strong> whole LU would, in <strong>the</strong> long<br />

run, benefit from <strong>the</strong> inclusion of such central ma<strong>the</strong>matical disciplines.<br />

In <strong>the</strong> applied field, <strong>the</strong> panel miss mainly scientific computing as an<br />

extension of Numerical Analysis, and miss a stronger group on ma<strong>the</strong>matical<br />

modeling, which could interact with scientific computing in developing<br />

simulations etc. Optimization is also an important area not well<br />

represented at <strong>the</strong> Centre of Ma<strong>the</strong>matics. All <strong>the</strong>se fields are also crucial<br />

for a better interaction with o<strong>the</strong>r departments and centres.<br />

It is an important principle, that teaching and research belong toge<strong>the</strong>r<br />

at all schools and institutions at good universities. Therefore, it is recommended<br />

that <strong>Lund</strong> <strong>University</strong> abolishes <strong>the</strong> pure teaching positions, and<br />

that all faculty positions have approximately equal commitments to both<br />

teaching and research. Moreover, <strong>the</strong>y should all be provided with good<br />

working conditions for <strong>the</strong> research. Too high teaching loads reduce <strong>the</strong><br />

quality of <strong>the</strong> university.<br />

The financial support for research should be made approximately <strong>the</strong><br />

same for all faculty members of <strong>the</strong> same rank, especially independent<br />

380

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