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Personal profile

Research interests

Prof Mulholland has published over 100 papers in applied mathematics, particularly in the modelling of ultrasonic devices and systems. In the last five years he has helped to secure over £10 million of external funding. He has been funded by EPSRC on several grants (EP/K028049/1, EP/K014250/1, EP/I019731, EP/F017421, EP/E018858, GR/S31235, GR/N27644, GR/N02207, EP/L022125/1) and by industry partners such as the National Nuclear Laboratory, Rolls-Royce, Serco Assurance (Risley), Shell, Weidlinger Associates, BP, GSK, Astra Zeneca and Doosan Power Systems. He was elected as Fellow of the Institute of Mathematics and its Applications in 2011.  He has collaborations throughout the US and Europe, and is a member of a French GDR network in Ultrasonics.    He was elected on to the council of the European Consortium for Mathematics in Industry in 2016.  He was the first person to conceive of a fractal ultrasonic transducer and, after producing a series of mathematical papers that showed the potential in such technology, this device has now been manufactured. 

Current PhD Students

Russel Niven

Ainsley Miller

Alistair Ferguson

Current Postdoctoral Researchers

Jonny Singh

Recent Grants


2019-2027 EPSRC EP/S023879/1, Centre for Doctoral Training, "Future Ultrasonic Engineering (FUSE)", CI.

2016-2020  EPSRC EP/P005268/1, £516K, “iNEED (including Non-destructive Evaluation in Engineered Design).” PI.

2017-2018  Wellcome Trust £41.5K, “Marchenko medical ultrasound imaging: translating Geophysical imaging to Medical Science.” CI.

2014-2020 EPSRC Grant EP/L022125/1, £10.8M "UK Research Centre in Non-Destructive Testing (RCNDE)" CI.

2012-2015  EPSRC Grant EP/K014250/1    £3.1M "Intelligent Decision Support and Control Technologies for Continuous Manufacturing of Pharmaceuticals and Fine
Chemicals" CI.

2011-2014    EPSRC Grant EP/1019731/1 £263,700 “New Methods for Ultrasonic NDE of Difficult Materials.” CI.

2008 – 2012    EPSRC Grant EP/F017421/1  £947,712 “Generation, Detection and Analysis of Optimally Coded Ultrasonic  Waveform systems.” CI.

2007 – 2010    EPSRC Grant EP/E018858/1   £458,463“Systems risks in information-rich environments.” CI.

2005 – 2008    EPSRC Grant EP/C540387/1 £84,835    “Real-time monitoring of bioprocesses using in situ non-linear active acoustic methods.” CI.

2003 – 2007    EPSRC Grant GR/S31235/01   £424,396 “A New Range of Ultrasonic Transducers using Dispersed Phase Materials.” CI.

2001 – 2005    EPSRC Grant GR/N27644/01   £480,862 “New Generation of Ultrasonic Systems.'' CI.

 2001 – 2004    EPSRC Grant GR/N02207  £149,379 “Realising the Potential of the Dielectric Approach to Non-Destructive  Examination of Adhesive Bonded Structures.” CI


External positions

Research Professor, University of Strathclyde

1 Sept 2019 → …


  • Ultrasound, mathematics, fractals, stochastic, materials, manufacturing, modelling


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Collaborations and top research areas from the last five years

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