1. Studentships.

2. Postdoctoral Fellowships.

2.1 Spiral Waves (Mathematical Biology) at Leeds and
Warwick

3. Lectureships.

3.1 Two Posts at Bristol University
(Reader/Lectureship) .

3.2 Lectureship in Physics at Lancaster.

A BBSRC studentship in mathematical biology, working on
* The modelling and control of intracellular calcium
oscillations and waves*, to be supervised by John Brindley
( Applied Mathematical Studies)
and Arun Holden (Physiology) is available
for 3 years from October 1995. The applicant should have a good
training in mathematical sciences (3 or 4 years of mathematics or
mathematical physics) and a demonstrated interest in mathematical
biology. If the student appointed is from the UK, university
postgraduate fees and a studentship of 6500 pounds will be paid,
if the student is from another EEC country only the university fees
will be paid. Applications from candidates who are not EEC nationals
will not be considered. Closing date 10 July 1995

Further particulars for the studentship only from Dr AV Holden, Department of Physiology, University of Leeds, LS2 9JT. fax (+44)0113 2334230 e-mail arun@cbiol.leeds.ac.uk

The University of Leeds promotes an equal opportunities policy.

An EPSRC - Applied Nonlinear Mathematics postdoctoral research
fellowship to work on the
* Control of meandering spiral waves in excitable media as a basis
for cardiac defibrillation * is available from October 1995 for a
fixed period of 18 months, under the direction of Arun Holden
(Department of Physiology, University of Leeds) and Dwight Barkely
(Mathematics Institute, University of Warwick). The applicant should
be prepared to work at both sites during the 18 month period,
and should have a PhD in mathematical aspects of nonlinear waves
in excitable media, with experience in bifurcation analysis, numerical
methods for partial differential equations, forcing of ordinary
and partial differential equations, and should have an interest in
cardiac electrophysiology and the propagation of excitation in
heart muscle.

Salary will be paid for Research Staff Grade 1A (15,566-20,953 pounds) (pay award pending) according to qualifications and relevant experience.

Informal enquiries about the post may be made to Dr AV Holden fax (+44) 0113 2334230, e-mail arun@cbiol.leeds.ac.uk

Application forms and further particulars may be obtained from the Personal Office (Academic Section), The University of Leeds, LEEDS LS2 9JT, tel 0113 233 5771, e-mail e.f.moran@registry.leeds.ac.uk or the World Wide Web quoting the reference number 104/39.

Closing date for applications 10 July 1995.

Active researchers in applied mathematics or numerical analysis are invited to apply for two posts, one of which may be filled at readership level. Appointment to a second lectureship may be delayed until a more senior appointment is made. Applications are particularly welcome from people who would augment the Department's strengths in fluid dynamics, nonlinear mathematics and numerical analysis, and who could enhance and develop cooperation with other research groups in the University and elsewhere. The Department actively encourages new developments in both undergraduate and postgraduate teaching.

For informal discussion please e-mail P.Drazin@bristol.ac.uk or D.H. Peregrine@bristol.ac.uk, or telephone Professor Drazin +44(0) 117 928 7969 or Professor D.H. Peregrine 0 117 928 7971.

Applications quoting reference number D348 with a c.v. and the names of two referees should be sent to Personnel Office (EO), Senate House, Bristol BS8 1TH, preferably by 1 August 1995. For further details telephone 0 117 925 6450 (answer phone after 5 p.m.), minicom 0 117 928 8894 or via WWW The School has major strengths in the following: Theoretical Physics,
Advanced Materials, Mesoscopics and Photonics, Non-Linear and
Stochastic Physics. The successful candidate will contribute to one or
more of these, as well as to undergraduate and graduate teaching.

Closing Date: 14th August 1995

Salary in pounds Sterling: Lecturer A Scale(15,154 - 19,848) or B Scale (20,677 - 26,430), dependent on qualifications and experience. Further details and application form are available from: Personnel Services, Lancaster University, Lancaster, LA1 4YW. Telephone: (01524) 846549 - 24 hour answering service. Please quote the reference number in any correspondence.

Informal Enquiries:

Head of School, Professor Tony Guenault
44 1524-593076
a.guenault@lancaster.ac.uk

or Professor Colin Lambert
44 1524 593059 or
c.lambert@lancaster.ac.uk

The research interests of the successful applicant should cohere with existings strengths at Lancaster. An appointment was made in ultra-low temperature physics in 1994, however, and a further appointment in this area is not being envisaged now. Applicants with interests in the following areas are particularly encouraged:

On October 1st 1995, excluding the advertised position, the Lancaster theory group will comprise 4 full-time, permanent academic staff. In addition there are currently 7 Ph.D. students and 7 research associates. The theory group has published around 75 papers during the 30 past months. Examples of which are [1-9].

A brief summary of recent activity is as follows:

Current research involves a comprehensive assault on problems involving phase-coherent phenomena in hybrid, normal-superconducting nanostructures. Recent publications have addressed a range of topics including: Andreev interferometers and phase gradiometers, the suppression of electrical conductance by the onset of superconductivity, analogues of the Aharonov-Bohm effect in mesoscopic superconducting loops, the Josephson effect in weakly linked, superconducting dots and non-equilibrium transport in mesoscopic, superconducting islands. Several of the resulting predictions have recently been confirmed experimentally. For the future we shall develop a quantitative theory of Andreev interference effects in 2DEG-superconductor and magnetic-superconductor hybrids.

Other interests include high temperature superconductivity, mesosocopic magnetism, photonics, quasi-particle phenomena in superfluid $^3$He and localization.

Research is funded by the UK SERC/EPSRC, NATO, the MOD and the E.U. The group has excellent computing facilities and coordinates of a 14 institution Human Capital and Mobility network on "Quantum Coherent Dynamics of Phase Coherent Structures."

References:

1. Multi-probe conductance formulae for mesoscopic
superconductors, C.J. Lambert, V.C. Hui and S.J. Robinson,
*J. Phys.: Condens. Matter* **5** 4187 (1993).

2. Andreev scattering, universal conductance fluctuations and phase
periodic transport, V.C. Hui and C.J. Lambert,
*Euro. Phys. Lett*, **23** 203 (1993).

3. Phase-coherent transport in mesoscopic superconducting structures,
C.J. Lambert, *Physica* **B203** 201 (1994)

The Mathematical Physics group currently applies methods of modern differential geometry, computer algebra and quantum field theory to problems in the theory of differential equations and gravitation. Recent publications have involved research into exterior differential systems of non-linear hyperbolic equations, constrained Hamiltonian dynamics, applications of non-Riemannian geometry to dilaton and galactic dynamics, effective low energy string theory, the Wheeler-de-Witt equation on non-globally hyperbolic manifolds and the theory of signature change. This research is currently funded by NATO and the EC Human Capital and Mobility programme.

Originally studied exclusively in relation to collider physics, particle theory is nowadays also studied in the context of the early universe. This exciting field of Particle Cosmology has been a major research activity at Lancaster for the past ten years. Both the more astronomical aspects of the subject and its contact with supergravity and superstring physics are studied. The research is funded by PPARC and the EC Human Capital and Mobility programme.

4. Equivalence of Darboux and Gardner methods for integrating
hyperbolic equations in the plane. D H Hartley, P A Tuckey, R W Tucker,
*Duke Math Jour.* **77** (1995) 167-192.

5. Non-metricity induced by Dilaton Gravity in two dimensions, T Dereli,
R W Tucker, * Class. Quantum Grav.* **11** (1994) 2575-2583.

6. A Spinor model for Quantum Cosmology, M Onder, T Dereli, R W Tucker, * Phys.
Letts.* **B323** (1994) 134-140.

7. The Cold Dark Matter Density Perturbation, D. H. Lyth and
A R Liddle, * Physics Reports*, **231**, 1 (1993).

8. Dilution of Cosmological Energy Densities by Saxino Decay,
D. H. Lyth, *Phys. Rev.* **D48**, 4523 (1993).

9. Cosmology with a TeV mass Higgs breaking the GUT symmetry,
D. H. Lyth and E. D. Stewart, to appear in *Phys. Rev. Letts*
(1995).

The Lancaster Nonlinear Group operates as an international consortium of scientists with complementary expertise that can be brought to bear on topical problems of mutual interest in nonlinear physics and fluctuation theory. Recent investigations have included stochastic resonance and related phenomena, quasimonochromatic noise, the problem of large occasional fluctuations and transient multimodality. A new Lancaster/Manchester/Michigan/Pisa project on stochastically driven ratchets is just starting, as is a Kiev/Lancaster/Moscow/Saratov investigation of zero-dispersion nonlinear resonance.

During the last five years, the group has published more than 50 papers, involving the collaboration of authors from 10 countries, examples of which are [10-12]. The Lancaster end of the enterprise has been financed mainly by SERC/EPSRC and the EC, but with important contributions also coming from the Royal Society, NATO, the British Council and the Nuffield Foundation.

References.

10. Supernarrow spectral peaks and high frequency stochastic resonance
in systems with coexisting periodic attractors, by M I Dykman,
D G Luchinsky, R Mannella, P V E McClintock, N D Stein and N G Stocks,
* Phys Rev* **E 49**, 1198 (1994).

11. Transient multimodality in relaxation from an unstable state, by
J Iwaniszewski, P V E McClintock and N D Stein, * Phys Rev*
** E 50**, 3538 (1994).

12. Dynamical chaos in zero-dispersion nonlinear resonance, by A B Neiman,
S M Soskin and P V E McClintock, in * Noise in Physical Systems and
1/f Fluctuations*, ed. V Bareikis and R Katilius, World Scientific,
Singapore, 1995, p. 701.

The physical properties of a wide range of inorganic, organic and polymeric semiconductors are being investigated. We have close links with industry and our work is both inter-disciplinary and international. Materials which exhibit luminescence or photoconductivity are of special interest together with the various electronic and photonic devices which can be made from them.

We have research expertise and grant support in the following areas:

- Epitaxial growth of narrow gap semiconductors and the fabrication of lasers and light emitting diodes
- Organic and polymeric semiconductors. In particular, polymeric LEDs and photovoltaics
- Optoelectronic and gas sensing properties of the metal-substituted phthalocyanines and their derivatives
- Phonon spectroscopy and low dimensional structures in GaAs and Si/Ge superlattices
- Scanning thermal microscopy using the principle of modulated-temperature differential scanning calorimetry
- Noise studies and Electromigration in integrated circuits Other interests include; Langmuir-Blodgett films and electrochromism.

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