Biography
I have been Stokes Professor at the University of Limerick since 2007. Before that I spent the bulk of my academic career at the University of Oxford, where I was a lecturer and tutorial Fellow of Corpus Christi College, Oxford. Corpus was actually my undergraduate and graduate college while at Oxford, and before going back there I spent time at Trinity College Dublin and M.I.T.
Research Interests
As an applied mathematician specialising in mathematical modelling, I consider myself prone to be interested in any problem which requires modelling, and that means almost any scientific problem at all. The main part of my research interests lies in mathematical geoscience, and stems from my doctoral research in glaciology: my thesis 'Glacier dynamics' was finished in 1977, back in the days before word processing, personal computers and the like, and I typed it on a typewriter with two keyboards, one Roman and one with Greek and mathematical symbols.
Since then I have become interested in many other areas of geophysics, geology, petrology, volcanology, as well as geomorphology and Earth surface processes in general.
The genuine applied mathematician is a multi-faceted creature, and I am no different. I have been interested in various parts of biology and physiology, and with a background in Oxford and a current post in MACSI, industrial problems also form a major part of my interests.
Teaching Interests
At Limerick I teach the following courses for the M.Sc. in Mathematical Modelling:
Mathematical biology and physiology, for which course materials are available: problem sheets and some (incomplete) lecture notes on enzyme kinetics, heart action, respiration and blood cell diseases.
Mathematical geoscience, for which course materials are available: problem sheets and lecture notes on modelling, climate, rivers, dunes, and glaciers and ice sheets.
The courses are assessed by 25% course work and 75% mini-project, completed after the end of the semester.
Together with Iain Moyles and Josh Duley, I teach the fourth year undergraduate course
Mathematical modelling of natural phenomena, for which course materials are available on sulis, otherwise (less accessible) there are problem sheets and some lecture notes.
The lecture notes and problem sheets may undergo revision during the semester, so keep an eye on them. There are also exam papers (mock/recent) on sulis. Together with Iain Moyles and Josh Duley, I teach the fourth year undergraduate course
Mathematical modelling of natural phenomena, for which course materials are available on sulis, otherwise (less accessible) there are problem sheets and some lecture notes.
The lecture notes and problem sheets may undergo revision during the semester, so keep an eye on them. There are also exam papers (mock/recent) on sulis.
Publications
Conference Publication
Proceedings of the Seventy-Fifth European Study Group with Industry
Chapwanya, M; Cregan, V; Fowler, A; Lee, W; Meere, M; Vo, TTN; Rivas, JMB; OBrien, SBG; Sedakov, R; Winstanley, H
75th European Study Group with Industry- Proceedings
Hewitt I., Lacey A., Mellgren N., Vynnycky, M., Robinson M., Cooker M., Fowler, A., Gonzalez, M., Simboek H., Murphy, T., Devereux, M., Sedakov R., Kirby G., Fay G., Wang Q., Adley CC
AIP Conference Proceedings
McGuinness M.J., Fowler A.C., Scheu B., Lee W.T.
DOI: 10.1063/1.3241365
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2
Lee, W; Power, O; Fowler, A; Healey, S; Browne, J
AIP Conference Proceedings
Lee W., Power O., Fowler A., Healey S., Browne J.
DOI: 10.1063/1.3241370
Other Publication
Correspondence
Fowler, AC
Journal Of Glaciology
DOI: 10.3189/2013JoG12J164
Peer Reviewed Journal
Convection of a fluid with strongly temperature and pressure dependent viscosity
Fowler, AC,Howell, PD,Khaleque, TS
Geophysical And Astrophysical Fluid Dynamics
DOI: 10.1080/03091929.2016.1146264
A 2D channel-clogging biofilm model
Winstanley, HF,Chapwanya, M,Fowler, AC,O'Brien, SBG
Journal Of Mathematical Biology
DOI: 10.1007/s00285-014-0833-4
The formation of vesicular cylinders in pahoehoe lava flows
Fowler, AC,Rust, AC,Vynnycky, M
Geophysical And Astrophysical Fluid Dynamics
DOI: 10.1080/03091929.2014.955799
Numerical studies of thermal convection with temperature-and pressure-dependent viscosity at extreme viscosity contrasts
Khaleque, TS,Fowler, AC,Howell, PD,Vynnycky, M
Physics Of Fluids
DOI: 10.1063/1.4923061
A Simple Thousand-Year Prognosis for Oceanic and Atmospheric Carbon Change
Fowler, AC
Pure And Applied Geophysics
DOI: 10.1007/s00024-014-0892-x
Simple Approximations for Epidemics with Exponential and Fixed Infectious Periods
Fowler, AC,Hollingsworth, TD
Bulletin Of Mathematical Biology
DOI: 10.1007/s11538-015-0095-3
Subglacial hydrology as a control on emergence, scale, and spacing of ice streams
Kyrke-Smith, TM,Katz, RF,Fowler, AC
Journal Of Geophysical Research-Earth Surface
DOI: 10.1002/2015JF003505
Subglacial hydrology and the formation of ice streams
Kyrke-Smith, TM,Katz, RF,Fowler, AC
Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences
DOI: 10.1098/rspa.2013.0494
Oscillations in soil bacterial redox reactions
Fowler, AC,Winstanley, HF,McGuinness, MJ,Cribbin, LB
Journal Of Theoretical Biology
DOI: 10.1016/j.jtbi.2013.10.010
Subglacial swamps
Kyrke-Smith, TM,Fowler, AC
Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences
DOI: 10.1098/rspa.2014.0340
Respiratory Control and the Onset of Periodic Breathing
Fowler, AC
Mathematical Modelling Of Natural Phenomena
DOI: 10.1051/mmnp/2011-9104
An instability theory for the formation of ribbed moraine, drumlins and mega-scale glacial lineations
Fowler, AC,Chapwanya, M
Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences
DOI: 10.1098/rspa.2014.0185
Modelling spatial oscillations in soil borehole bacteria
McGuinness, MJ,Cribbin, LB,Winstanley, HF,Fowler, AC
Journal Of Theoretical Biology
DOI: 10.1016/j.jtbi.2014.08.017
The motion of ice stream margins
Fowler, AC
Journal Of Fluid Mechanics
DOI: 10.1017/jfm.2012.504
Stress balances of ice streams in a vertically integrated, higher-order formulation
Kyrke-Smith, TM,Katz, RF,Fowler, AC
Journal Of Glaciology
DOI: 10.3189/2013JoG12J140
The instability theory of drumlin formation and its explanation of their varied composition and internal structure
Stokes, CR,Fowler, AC,Clark, CD,Hindmarsh, RCA,Spagnolo, M
Quaternary Science Reviews
DOI: 10.1016/j.quascirev.2012.11.011
Biomat Development in Soil Treatment Units for On-site Wastewater Treatment
Winstanley, HF,Fowler, AC
Bulletin Of Mathematical Biology
DOI: 10.1007/s11538-013-9881-y
Explosive fragmentation criteria and velocities for vesicular magma
McGuinness, MJ,Scheu, B,Fowler, AC
Journal Of Volcanology And Geothermal Research
DOI: 10.1016/j.jvolgeores.2012.05.019
A Model of Oscillatory Blood Cell Counts in Chronic Myelogenous Leukaemia
Drobnjak, I,Fowler, AC
Bulletin Of Mathematical Biology
DOI: 10.1007/s11538-011-9656-2
A surge of North Gasherbrum Glacier, Karakoram, China
Mayer, C; Fowler, AC; Lambrecht, A; Scharrer, K
Journal Of Glaciology
DOI: 10.3189/002214311798043834
Mathematical Geoscience
Fowler, A
Mathematical Geoscience
DOI: 10.1007/978-0-85729-721-1
Numerical computations of a theoretical model of ribbed moraine formation
Chapwanya, M; Clark, CD; Fowler, AC
Earth Surface Processes And Landforms
DOI: 10.1002/esp.2138
A polymer-solvent model of biofilm growth
Winstanley, HF; Chapwanya, M; McGuinness, MJ; Fowler, AC
Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences
DOI: 10.1098/rspa.2010.0327
A Model of Oscillatory Blood Cell Counts in Chronic Myelogenous Leukaemia
Drobnjak I., Fowler A.C.
Bulletin Of Mathematical Biology
DOI: 10.1007/s11538-011-9656-2
A note on the derivation of the quasi-geostrophic potential vorticity equation
Fowler, AC
Geophysical And Astrophysical Fluid Dynamics
DOI: 10.1080/03091929.2010.531719
Temperature-dependent shear flow and the absence of thermal runaway in valley glaciers
Fowler, AC; Toja, R; Vazquez, C
Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences
DOI: 10.1098/rspa.2009.0335
THE MORPHOLOGY OF THE MARTIAN ICE CAPS: A MATHEMATICAL MODEL OF ICE-DUST KINETICS
Zammett, RJ; Fowler, AC
Siam Journal On Applied Mathematics
DOI: 10.1137/080734558
Weertman, Lliboutry and the development of sliding theory
Fowler, AC
Journal Of Glaciology
Blowing of polycrystalline silicon fuses
Lee, WT; Fowler, AC; Power, O; Healy, S; Browne, J
Applied Physics Letters
DOI: 10.1063/1.3457469
The formation of subglacial streams and mega-scale glacial lineations
Fowler, AC
Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences
DOI: 10.1098/rspa.2010.0009
A theoretical model of the explosive fragmentation of vesicular magma
Fowler, AC; Scheu, B; Lee, WT; McGuinness, MJ
Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences
DOI: 10.1098/rspa.2009.0382
The instability theory of drumlin formation applied to Newtonian viscous ice of finite depth
Fowler, AC
Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences
DOI: 10.1098/rspa.2010.0017
A dynamic model of annual foliage growth and carbon uptake in trees
Fowler, AC; Clary, O; Roose, T
Journal Of The Royal Society Interface
DOI: 10.1098/rsif.2009.0010
Melt channelization in ascending mantle
Hewitt, IJ; Fowler, AC
Journal Of Geophysical Research-Solid Earth
DOI: 10.1029/2008JB006185
Initiation of Guinness
O'Sullivan, M; Power, O; Lee, W; Fowler, A; Dellar, P; O'Sullivan, M
Mathematics In Industry
Dynamics of subglacial floods
Fowler, AC
Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences
DOI: 10.1098/rspa.2008.0488
Instability modelling of drumlin formation incorporating lee-side cavity growth
Fowler, AC
Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences
DOI: 10.1098/rspa.2008.0490
Network development in biological gels: Role in lymphatic vessel development
Roose, T; Fowler, AC
Bulletin Of Mathematical Biology
DOI: 10.1007/s11538-008-9324-3
Seasonal waves on glaciers
Hewitt, IJ; Fowler, AC
Hydrological Processes
DOI: 10.1002/hyp.7029
Mathematical Analysis of a Model of River Channel Formation
Diaz, JI; Fowler, AC; Munoz, AI; Schiavi, E
Pure And Applied Geophysics
DOI: 10.1007/s00024-004-0394-3
Partial melting in an upwelling mantle column
Hewitt, IJ; Fowler, AC
Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences
DOI: 10.1098/rspa.2008.0045
The formation of river channels
Fowler, AC; Kopteva, N; Oakley, C
Siam Journal On Applied Mathematics
DOI: 10.1137/050629264