Luthais McCash


  • MTH

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Personal profile

Academic Background

I am an applied mathematician whose background is in industrial mathematics, industrial optimisation, and fluid flow modelling.

My research interests are broad, but generally speaking I am interested in fluid flow modelling and non-linear physics. Much of my work to date has been to investigate nanoparticle flow in the presence of heat transfer, or magnetically induced fluids.  

That said, I am gradually moving away from classical systems, and focusing my research on more quantum systems. In particular, I have interest in non-linear waves in quantum environments. Such systems can be modelled by equations including the Gross-Pitaveskii Equation, Albowitz-Ladik Equation.

Practically speaking, I am interested in topological defects such as quantum vortices, and excitations caused by perturbations of such functions leading to self-propagating wave packets called solitons. My research in the current state is looking at travelling wave solutions and solitary waves arising from propogating vortices in low dimensional space.


Teaching Interests

Current Teaching:

At UEA, I  provide support teaching as an Associate Tutor on a selection of Level 1 & 2 modules (2021 - 2022). 

  • MTH4001B - Probability Theory
  • ENV4015Y - Mathematics for Scientists A
  • MTHB3006B - Further Mathematics for Scientists
  • CMP4005Y - Mathematics for Computing B (Calculus, Linear Algebra, Sequences & Series, Combinatorics)
  • MTH2003B - Basic Mathematics II
  • MTHB3003B - Advanced Mathematics 
  • CMP-5043B - Linear Regression & Time Series in R
  • MTHA4001A - Mathematical Skills (Computational component including LaTex and Maple)

  • MTHB3005A - Introductory Mathematics for Scientists (Foundation level course in order to prepare students for degree level studies)

Previous Teaching

Between August 2019 and Febrauary 2021, I was an Honorary Industrial Fellow at the University of Leicester. During my time, I contributed to teaching across Level's 1-4 and also supervised a number of student dissertations. Such activities have been noted below. 


PA4602 (2019 - 2021) – Level 4 Physics Module. Lecturing and examining on component relating to computational statistics, machine learning, probability, and computational optimisation.

MA3511 (2019 – 2020) – Level 3 Module on Mathematics business project. Looking at applications of mathematics in industry.

MA2511 (2019 – 2020) – Level 2 Mathematics Module called “Business Applications of Mathematics”, lecturing on mathematical modelling from data, statistical inference. Examining and writing student projects.

MA1014 (2019-2020) – Associate to module giving presentations on practical applications of second order ODEs


Project Supervision

Previous Supervision

Previous supervision conducted in my capactity as Honorary Industrial Fellow at the University of Leicester (2019-2021) included

MSc Supervision:

Thesis: “Transportations Problems with Degenerate Solutions” (2020) – R. Vasam (Distinction)

Thesis: “Predicting Price Directionality with Stochastic Processes” (2020) – W. Jinshi (Distinction)

Thesis: “Computational Methods in Demand Forecasting Optimisation” (2020) – R. Al Shuhumi (Pass)

BSc Supervision:

Dissertation: “Predicting LNG Price Directionality: A Binary Approach” (2019) – F. Abdi (Distinction) This student went on to win graduating student of the year. 

Administrative Posts

Editoral Positions:

  • Assocaite Editor -  Modern Concepts in Material Science

Reviewer Positions:

  • Americal Journal of Applied Mathematics;
  • Selection of MDPI Journals (See AAU-9352-2020

External Activities

Althought I have collaborations within academia, I still remain active in Industry. In January 2020 I became Chief Scientific Officer of Sigma Solutions, a mathematical and computational modelling consultancy firm based in London, and in April 2021 I was elected by the Board to lead the strategic direction of the firm as Chief Executive Officer. 

In April 2021 I was further appointed Chief Research Officer at Exosuit Ltd, a progressive sports apparel brand overseeing all scientific development, and as part of this role, I am overall responsible for the scientific and technological functions of their subsidery Exosuit Horizons (R&D) Ltd. 

I also am passionate about public understanding in science, and aim to engage in outreach.

Education/Academic qualification

Master in Science, Heriot-Watt University

External positions

Head of Operations & Strategy, Meixter Ltd

1 Dec 2021 → …

Chief Research Officer , Exosuit

2 Apr 202130 Nov 2021

Chief Scientific Officer, Sigma Solutions

6 Jan 2020 → …


Recent external collaboration on country/territory level. Dive into details by clicking on the dots or