Applied Mathematician – Consultant

CamWebDir; Melbourn; Remote; GBP 65,000 - 90,000; Full time

Benefits offered by this job

Profit-related bonus

Pension 10%

Free lunch on-site

Private medical insurance

Enhanced family leave

Life insurance 6x salary

Electric car leasing

Cycle to work

Season ticket loan

Activities fund

Discounts & memberships

Job summary

TTP is seeking an Applied Mathematician or Analytical Physicist to join its Industrials team in the Cambridge area. The role focuses on turning complex problems into mathematical models through first-principles reasoning, spanning environmental sensing, semiconductors, and industrial equipment.

You will work with MATLAB, COMSOL and Python to build analytical and numerical models, including multiphysics simulations, and communicate results to clients and colleagues.

Qualifications

• PhD in applied mathematics or physics or a related discipline.
• Strong mathematical reasoning with ability to translate real-world problems into models from first principles.
• Experience with computational models and simulations of physical systems.

Responsibilities

• Develop mathematical models and perform first-principles analyses to guide design decisions.
• Create and run simulations using MATLAB, COMSOL, and Python; progress from simple analyses to detailed models.
• Communicate findings clearly; translate results into actionable recommendations for multidisciplinary teams.

Skills

Analytical thinking

Physical intuition

Problem solving

Cross-disciplinary collaboration

Strong communication

Education

PhD in applied mathematics or physics

Tools

MATLAB

COMSOL

Python

Job description

We’re looking for an Applied Mathematician or Analytical Physicist with strong analytical instincts, physical intuition and a pragmatic approach to problem-solving to join our Industrials team.
The team develops technologies and products that solve complex real-world challenges across diverse markets, including environmental sensing, semiconductor manufacturing and industrial equipment. Working across multiple disciplines, we combine scientific analysis, physical modelling and engineering to understand problems at a fundamental level and turn that understanding into better products and technologies.
As an Applied Mathematician at TTP, you’ll get to the heart of complex challenges, identify the underlying physical processes and translate them into mathematical models that help guide the way forward. You’ll use first-principles reasoning to challenge assumptions, identify the effects that really matter and make sense of complexity through well-judged simplifications.
The variety is a big part of what makes the role exciting. You could be modelling multiphase flows in complex systems, simulating cutting‑edge optoelectronic and photonic technologies, or exploring the feasibility of a novel process and helping guide the scale‑up of a prototype design. Each project brings a different challenge, so you’ll need to switch context efficiently, get up to speed quickly in unfamiliar fields and manage several projects in parallel.
Your work will span a broad range of modelling approaches, from analytical calculations and simplified models using MATLAB or custom Python code to detailed numerical simulations, including 3D multiphysics modelling and computational fluid dynamics using tools such as COMSOL. Projects may progress from simple analytical models to more sophisticated simulations.
We value insight and sound judgement as much as analytical rigour. Working at pace, often with incomplete information, you’ll need to know when to investigate further and when a sufficiently good model is enough to make a decision. You’ll also be able to communicate your findings clearly, explaining the implications and uncertainties of your analysis to colleagues and clients, and turning complex results into practical recommendations.
With great facilities, bright and collaborative colleagues and the freedom to innovate, your future at TTP is what you make it. We value ambition, leadership and technical excellence, and provide a fantastic environment in which to develop your career.
We’re looking for an analytical, curious problem-solver who enjoys applying mathematics and physical intuition to complex, real‑world challenges.
You’ll ideally bring:

• A PhD in applied mathematics, physics or a related discipline.
• Excellent mathematical reasoning, with the ability to translate real‑world problems into mathematical models from first principles.
• Experience developing and using computational models and simulations of physical systems, from simplified analytical approaches to more detailed numerical models.
• Experience with tools such as MATLAB and/or COMSOL, alongside programming skills in Python or another relevant language to develop your own models and analysis tools.
• The ability to quickly understand unfamiliar technical problems, identify the key physical processes and adapt your approach across different scientific and engineering domains.
• A pragmatic approach to analysis, balancing mathematical rigour with the need to reach useful conclusions and make decisions at pace.
• Strong communication and collaboration skills, with the ability to explain complex analysis clearly and translate results into actionable insights for multidisciplinary teams and clients.

Benefits TTP is an employee‑owned business, based at TTP Campus in Melbourn, just 10 miles south of Cambridge. Our purpose‑built, sustainable offices and laboratories are set in green surroundings, creating an inspiring environment for innovation. Our working culture encourages entrepreneurship, shared ideas and technical collaboration, while providing you with the freedom to do your best work.

• Annual profit‑related bonus
• Employer pension contribution of 10% of salary
• Free, nutritious lunch in our on‑site restaurant
• Private medical insurance for employees and dependants
• Enhanced family friendly leave
• Life insurance worth 6x salary
• Electric car leasing scheme
• Cycle to work scheme
• Season ticket loan
• An activities and community fund that supports healthy activities that bring colleagues together; whether it’s lunchtime squash or football, Zumba or our own rock band.
• Local sports facilities and theatre discounts and memberships

Listing found on ttp.com via Cambridge Network. Always apply through the employer’s own posting.