### 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