UK Health Security Agency

Senior Mathematical Modeller

The closing date is 10 September 2025

Job summary

We are looking to recruit an enthusiastic and competent mathematical modeller to join our mathematical Modelling for Emergency Preparedness, Resilience, and Response team within the multidisciplinary Advanced Analytics division. This team provides high quality scientific advice to government on new and emerging infectious disease threats to the public and how their impact may be mitigated. We apply quantitative analyses to complex and novel situations especially for those where the source of the disease is unapparent. You would use your mathematical skills to construct models of diseases and disease systems using a range of techniques, have access to cutting edge technology including High Performance Compute and General-Purpose GPU acceleration, and be working in a friendly collaborative environment where you are supported to learn new techniques and develop your skills.This role will service our work on the NIHR (National Institute for Health and Care Research) funded HPRU (Health Protection Research Unit) on Emergency Preparedness and Response which is a joint work-programme with the University of Birmingham. The core themes of this role revolve around quantifying the effects of mass casualty incidents on the public and health-care services.

Main duties of the job

1. Assess, develop, and apply appropriate mathematical and statistical modelling methods to address a range of emerging threats and help inform effective control and mitigation strategies.2. Abstract and analyse relevant qualitative and quantitative data from various sources for use in these models.3. Communicate with experts in other disciplines to ensure that they understand required input data and the output from your work (including limitations and uncertainty on analyses performed).4. Enhance the science base in this field and promote the modelling capabilities developed within the team through peer-reviewed publication of findings and presentations at conferences and workshops.5. Work closely with other members of UKHSA in the integration and dissemination of the above tools and data to provide core UKHSA capabilities.6. Communicate with other team members on scientific and operational issues and liaise with other experts both internally and externally.7. Assist in funding applications, where appropriate.8. Provide specialist technical reports based on the work above, if required.

About us

We pride ourselves as being an employer of choice, where Everyone Matters promoting equality of opportunity to actively encourage applications from everyone, including groups currently underrepresented in our workforce.

UKHSA ethos is to be an inclusive organisation for all our staff and stakeholders. To create, nurture and sustain an inclusive culture, where differences drive innovative solutions to meet the needs of our workforce and wider communities. We do this through celebrating and protecting differences by removing barriers and promoting equity and equality of opportunity for all.

Please visit our careers site for more information https://gov.uk/ukhsa/careers

Details

Date posted

27 August 2025

Pay scheme

Other

Salary

£40,661 to £50,472 a year per annum, pro rata

Contract

Fixed term

Duration

3 years

Working pattern

Full-time, Part-time, Job share, Flexible working, Home or remote working

Reference number

919-CP-113849-EXT

Job locations

Homebased

Homebased

E14 4PU


Job description

Job responsibilities

This role would typically be suitable for someone with a few years postgraduate experience or someone looking for a postdoctoral type role. As postholder you would, in conversation with your line-manager, be expected to lead research and development of the teams work under the HPRU. Depending on the level of demand on the team you may supervise short-term placement students and interns or PhDs within the HPRU. You would bring mathematical / technical expertise to ensure that scientific and other outputs are produced in a timely way.

The teams work-packages currently comprise:

Source-term estimation locating pathogen sources from case data. In-host dynamics how a pathogen behaves inside the human body. Model frameworks high level code for the rapid production of models. Neural networks for model emulation and machine vision using the power of inferential tools to speed up models and to detect health threats.

The specific projects under the HPRU likely assigned to this role, either directly or in collaboration with others in the team, being:

Applied records of traumatic events and mass injury surveillance

This aims to create a global database of non-fatal injuries, including sequelae (e.g. disease, deprivation) and probability of survival. Focussing especially on disadvantaged communities, we will explore the long-term burden of disease, psychosocial sequelae and socioeconomic hardship of survivors of a major incident.

Syndromic surveillance of injury and correlates of community resilience

This project will look at the syndromic surveillance of injuries and observe how these may predict incoming demand on the health system and will: characterise the nature and seasonality of such reports, investigate linkable statistics to help drive causal inference, look into the differential of report types between different types of medical unit.

Essential Criteria.

We will be assessing your demonstrated ability to think critically about the world and break problems down into pieces that are amenable to quantitative representation (mathematical or statistical modelling).

You should be expecting to show the panel examples of where you have done this previously and what the outcomes of your work was.

  • First degree in a discipline involving high mathematical or statistical content or significant experience of working at a similar level in specialist area.
  • Higher degree (preferably PhD) or substantially equivalent experience in: the application of research focused computer code or mathematical modelling or statistics to problems in health (human, animal, or plant), microbiology or biological sciences.
  • Demonstrable practical postgraduate experience in applying one or more of the techniques in the core skills ( Mathematics, Statistical modelling, Modelling, Data analysis) below.
  • Well-developed skills in producing computer code from mathematics and/or algometric description (preferably Python, but any mainstream language acceptable)
  • Excellent communication skills written, verbal, tele/videoconferencing.
  • Able to work together with others to achieve goals (team player).
  • An understanding of and commitment to equality of opportunity and good working relationships, both in terms of day-to-day working practices, but also in relation to team management.

Core skills

Mathematical modelling is both a broad and deep field. It is expected that the post holder will bring some, but far from all, of the skills below to the team. It is expected that they will be expert in some sections and know little about others.

Mathematics

Constructing, using, and solving ODE and/or PDE systems. Numerical analysis. Approximation theory. Operation research including linear and non-linear optimisation Functional analysis. Dimensional analysis.

Statistical modelling

Frequentist analysis (e.g., ANOVA, GLM, LMEM, etc.). Bayesian statistics and analysis. Probability distribution theory. Stochastic simulation. Monte Carlo simulation. Neural networks and/or machine learning (e.g., Random Forest, SVM, etc.)

Modelling

Mechanistic modelling. Predictive modelling. Compartmental disease modelling. Meta-population (patch) modelling. Individual based modelling. Network or next generation modelling. Integrated epidemiology and macro-economic modelling. Spatio-temporal modelling. Sensitivity analysis. Demographic modelling. Parameter estimation. Uncertainty analysis.

Data analysis

Data cleaning. Processing and use of remotely sensed data.

Software

Set and analyse software requirements. Formulation and implementation of unit and system tests Produce code suitable for distribution on domain/language specific platforms (e.g., CRAN / PyPI).

Stage 1: Application & Sift

This vacancy is using Success Profiles and will assess your behaviours and Experience.

At sift stage you will be assessed against the essential listed in the job advert.

As part of the application process, you will be asked to provide a Personal Statement / Supporting Statement in no more than 750 words. Note: Healthjobs UK has a word limit in this section of 1500 words in the form but only the first 750 words will be scored. You should outline your skills, experience, and achievements, providing evidence of your suitability for the role, with particular reference to the Essential criteria (outlined in the person specification / job description).

You will also be asked to provide information within the Employer/ Activity history section of the application form. This is equivalent to the information you would provide on a CV, setting out your career history. This will be used in the sifting process and will be scored against the same criteria. Please be advised you will not be able to upload your CV. Please complete the application form with as much relevant detail as possible.

You will be required to complete an:

  • Application form (Employer/ Activity history section on the application)
  • Supporting Statement (up to 750 words) - this should outline how your skills, experience, and knowledge, provide evidence of your suitability for the role.

You will receive a joint score for your application form and statement.

Your statement of suitability must be no more than 750 words.

If we receive a large number of applications an initial sift against the lead criteria of the essential criteria will be conducted.

  • Demonstrablepractical postgraduate experience in applying one or more of the techniques in the core skills above.

Longlisting: In the event of a large number of applications we may longlist into 3 piles of:

1. Meets all essential criteria2. Meets most essential criteria3. Meets no essential criteria

Should we longlist, we will take though only those who meet all essential criteria.

Please note feedback will not be provided at this stage.

Candidates who pass the sift stage will progress to a Technical assessment stage.

Stage 2: Technical assessment (120 minutes)

There will be a technical assessment for those who pass the application stage where you will be expected to demonstrate your ability to problem-solve using code and to explain the code you produce. This typically consists of a set problem, 90 minutes to formulate a solution and a 15-minute Q&A session with a panel where you explain your solution.

Candidates who pass the technical assessment stage will be invited to a remote interview.

Stage 3: Interview (success profiles)

You will be invited to a remote interview.

For this round we are using published interview questions. That is, you will be given the lead questions 48 hours before the interview so that you may give a considered answer and best reflect your strengths. You should expect unscripted follow-up questions based on your answers and to probe your knowledge.

Interviews will be held week commencing 22nd September, please note these dates are subject to change.

This vacancy is being assessed using Success Profiles. During the interview we will assess you against the below:

Behaviours:

o Working together

o Communicating and influencing

o Changing and improving

Previous Skills and Experience: technical skills and ability

You will be asked to prepare and present a 7-minute presentation. The subject of this will be How mathematical modelling may be used to improve response to public health emergencies.

Once this job has closed, the job advert will no longer be available. You may want to save a copy for your records

External

Open to all external applicants (anyone) from outside the Civil Service (including by definition internal applicants).

Location

This role is being offered as Homebased.

Security Clearance.

Successful candidates must meet the security requirements before they can be appointed. The level of security needed is Security Clearance

For meaningful National Security Vetting checks to be carried out individuals need to have lived in the UK for a sufficient period of time. You should normally have been resident in the United Kingdom for the last 5 years as the role requires Security Check (SC) UK residency less than the outlined periods may not necessarily bar you from gaining national security vetting and applicants should contact the Vacancy Holder / Recruiting Manager listed in the advert for further advice.

Successful candidates must also meet the security requirements before they can be appointed. The level of security needed is Personnel Security Standard (BPSS). An enhanced DBS is required.

Job description

Job responsibilities

This role would typically be suitable for someone with a few years postgraduate experience or someone looking for a postdoctoral type role. As postholder you would, in conversation with your line-manager, be expected to lead research and development of the teams work under the HPRU. Depending on the level of demand on the team you may supervise short-term placement students and interns or PhDs within the HPRU. You would bring mathematical / technical expertise to ensure that scientific and other outputs are produced in a timely way.

The teams work-packages currently comprise:

Source-term estimation locating pathogen sources from case data. In-host dynamics how a pathogen behaves inside the human body. Model frameworks high level code for the rapid production of models. Neural networks for model emulation and machine vision using the power of inferential tools to speed up models and to detect health threats.

The specific projects under the HPRU likely assigned to this role, either directly or in collaboration with others in the team, being:

Applied records of traumatic events and mass injury surveillance

This aims to create a global database of non-fatal injuries, including sequelae (e.g. disease, deprivation) and probability of survival. Focussing especially on disadvantaged communities, we will explore the long-term burden of disease, psychosocial sequelae and socioeconomic hardship of survivors of a major incident.

Syndromic surveillance of injury and correlates of community resilience

This project will look at the syndromic surveillance of injuries and observe how these may predict incoming demand on the health system and will: characterise the nature and seasonality of such reports, investigate linkable statistics to help drive causal inference, look into the differential of report types between different types of medical unit.

Essential Criteria.

We will be assessing your demonstrated ability to think critically about the world and break problems down into pieces that are amenable to quantitative representation (mathematical or statistical modelling).

You should be expecting to show the panel examples of where you have done this previously and what the outcomes of your work was.

  • First degree in a discipline involving high mathematical or statistical content or significant experience of working at a similar level in specialist area.
  • Higher degree (preferably PhD) or substantially equivalent experience in: the application of research focused computer code or mathematical modelling or statistics to problems in health (human, animal, or plant), microbiology or biological sciences.
  • Demonstrable practical postgraduate experience in applying one or more of the techniques in the core skills ( Mathematics, Statistical modelling, Modelling, Data analysis) below.
  • Well-developed skills in producing computer code from mathematics and/or algometric description (preferably Python, but any mainstream language acceptable)
  • Excellent communication skills written, verbal, tele/videoconferencing.
  • Able to work together with others to achieve goals (team player).
  • An understanding of and commitment to equality of opportunity and good working relationships, both in terms of day-to-day working practices, but also in relation to team management.

Core skills

Mathematical modelling is both a broad and deep field. It is expected that the post holder will bring some, but far from all, of the skills below to the team. It is expected that they will be expert in some sections and know little about others.

Mathematics

Constructing, using, and solving ODE and/or PDE systems. Numerical analysis. Approximation theory. Operation research including linear and non-linear optimisation Functional analysis. Dimensional analysis.

Statistical modelling

Frequentist analysis (e.g., ANOVA, GLM, LMEM, etc.). Bayesian statistics and analysis. Probability distribution theory. Stochastic simulation. Monte Carlo simulation. Neural networks and/or machine learning (e.g., Random Forest, SVM, etc.)

Modelling

Mechanistic modelling. Predictive modelling. Compartmental disease modelling. Meta-population (patch) modelling. Individual based modelling. Network or next generation modelling. Integrated epidemiology and macro-economic modelling. Spatio-temporal modelling. Sensitivity analysis. Demographic modelling. Parameter estimation. Uncertainty analysis.

Data analysis

Data cleaning. Processing and use of remotely sensed data.

Software

Set and analyse software requirements. Formulation and implementation of unit and system tests Produce code suitable for distribution on domain/language specific platforms (e.g., CRAN / PyPI).

Stage 1: Application & Sift

This vacancy is using Success Profiles and will assess your behaviours and Experience.

At sift stage you will be assessed against the essential listed in the job advert.

As part of the application process, you will be asked to provide a Personal Statement / Supporting Statement in no more than 750 words. Note: Healthjobs UK has a word limit in this section of 1500 words in the form but only the first 750 words will be scored. You should outline your skills, experience, and achievements, providing evidence of your suitability for the role, with particular reference to the Essential criteria (outlined in the person specification / job description).

You will also be asked to provide information within the Employer/ Activity history section of the application form. This is equivalent to the information you would provide on a CV, setting out your career history. This will be used in the sifting process and will be scored against the same criteria. Please be advised you will not be able to upload your CV. Please complete the application form with as much relevant detail as possible.

You will be required to complete an:

  • Application form (Employer/ Activity history section on the application)
  • Supporting Statement (up to 750 words) - this should outline how your skills, experience, and knowledge, provide evidence of your suitability for the role.

You will receive a joint score for your application form and statement.

Your statement of suitability must be no more than 750 words.

If we receive a large number of applications an initial sift against the lead criteria of the essential criteria will be conducted.

  • Demonstrablepractical postgraduate experience in applying one or more of the techniques in the core skills above.

Longlisting: In the event of a large number of applications we may longlist into 3 piles of:

1. Meets all essential criteria2. Meets most essential criteria3. Meets no essential criteria

Should we longlist, we will take though only those who meet all essential criteria.

Please note feedback will not be provided at this stage.

Candidates who pass the sift stage will progress to a Technical assessment stage.

Stage 2: Technical assessment (120 minutes)

There will be a technical assessment for those who pass the application stage where you will be expected to demonstrate your ability to problem-solve using code and to explain the code you produce. This typically consists of a set problem, 90 minutes to formulate a solution and a 15-minute Q&A session with a panel where you explain your solution.

Candidates who pass the technical assessment stage will be invited to a remote interview.

Stage 3: Interview (success profiles)

You will be invited to a remote interview.

For this round we are using published interview questions. That is, you will be given the lead questions 48 hours before the interview so that you may give a considered answer and best reflect your strengths. You should expect unscripted follow-up questions based on your answers and to probe your knowledge.

Interviews will be held week commencing 22nd September, please note these dates are subject to change.

This vacancy is being assessed using Success Profiles. During the interview we will assess you against the below:

Behaviours:

o Working together

o Communicating and influencing

o Changing and improving

Previous Skills and Experience: technical skills and ability

You will be asked to prepare and present a 7-minute presentation. The subject of this will be How mathematical modelling may be used to improve response to public health emergencies.

Once this job has closed, the job advert will no longer be available. You may want to save a copy for your records

External

Open to all external applicants (anyone) from outside the Civil Service (including by definition internal applicants).

Location

This role is being offered as Homebased.

Security Clearance.

Successful candidates must meet the security requirements before they can be appointed. The level of security needed is Security Clearance

For meaningful National Security Vetting checks to be carried out individuals need to have lived in the UK for a sufficient period of time. You should normally have been resident in the United Kingdom for the last 5 years as the role requires Security Check (SC) UK residency less than the outlined periods may not necessarily bar you from gaining national security vetting and applicants should contact the Vacancy Holder / Recruiting Manager listed in the advert for further advice.

Successful candidates must also meet the security requirements before they can be appointed. The level of security needed is Personnel Security Standard (BPSS). An enhanced DBS is required.

Person Specification

Essential and Desirable criteria

Essential

  • Supporting Statement & CV

Behaviours

Essential

  • Working together
  • Communicating and influencing
  • Changing and improving

Previous Skills and Experience

Essential

  • Technical skills
  • Ability
Person Specification

Essential and Desirable criteria

Essential

  • Supporting Statement & CV

Behaviours

Essential

  • Working together
  • Communicating and influencing
  • Changing and improving

Previous Skills and Experience

Essential

  • Technical skills
  • Ability

Disclosure and Barring Service Check

This post is subject to the Rehabilitation of Offenders Act (Exceptions Order) 1975 and as such it will be necessary for a submission for Disclosure to be made to the Disclosure and Barring Service (formerly known as CRB) to check for any previous criminal convictions.

Certificate of Sponsorship

Applications from job seekers who require current Skilled worker sponsorship to work in the UK are welcome and will be considered alongside all other applications. For further information visit the UK Visas and Immigration website (Opens in a new tab).

From 6 April 2017, skilled worker applicants, applying for entry clearance into the UK, have had to present a criminal record certificate from each country they have resided continuously or cumulatively for 12 months or more in the past 10 years. Adult dependants (over 18 years old) are also subject to this requirement. Guidance can be found here Criminal records checks for overseas applicants (Opens in a new tab).

Additional information

Disclosure and Barring Service Check

This post is subject to the Rehabilitation of Offenders Act (Exceptions Order) 1975 and as such it will be necessary for a submission for Disclosure to be made to the Disclosure and Barring Service (formerly known as CRB) to check for any previous criminal convictions.

Certificate of Sponsorship

Applications from job seekers who require current Skilled worker sponsorship to work in the UK are welcome and will be considered alongside all other applications. For further information visit the UK Visas and Immigration website (Opens in a new tab).

From 6 April 2017, skilled worker applicants, applying for entry clearance into the UK, have had to present a criminal record certificate from each country they have resided continuously or cumulatively for 12 months or more in the past 10 years. Adult dependants (over 18 years old) are also subject to this requirement. Guidance can be found here Criminal records checks for overseas applicants (Opens in a new tab).

Employer details

Employer name

UK Health Security Agency

Address

Homebased

Homebased

E14 4PU


Employer's website

https://www.gov.uk/government/organisations/uk-health-security-agency (Opens in a new tab)

Employer details

Employer name

UK Health Security Agency

Address

Homebased

Homebased

E14 4PU


Employer's website

https://www.gov.uk/government/organisations/uk-health-security-agency (Opens in a new tab)

Employer contact details

For questions about the job, contact:

Head of Function MDE

Thomas Finnie

Thomas.Finnie@ukhsa.gov.uk

Details

Date posted

27 August 2025

Pay scheme

Other

Salary

£40,661 to £50,472 a year per annum, pro rata

Contract

Fixed term

Duration

3 years

Working pattern

Full-time, Part-time, Job share, Flexible working, Home or remote working

Reference number

919-CP-113849-EXT

Job locations

Homebased

Homebased

E14 4PU


Privacy notice

UK Health Security Agency's privacy notice (opens in a new tab)