At a Glance
- Tasks: Conduct cutting-edge research in algebra and geometry with a focus on modular representation theory.
- Company: Join Loughborough University, a leader in academic research and innovation.
- Benefits: Enjoy a competitive salary, generous holiday allowance, and supportive work environment.
- Other info: Opportunity for professional growth and to present at national and international conferences.
- Why this job: Make a real impact in mathematics while collaborating with top researchers.
- Qualifications: PhD (or near completion) in mathematics and experience in algebra or homotopy theory.
The predicted salary is between 35608 - 46049 £ per year.
Loughborough University is seeking to appoint a Postdoctoral Research Associate in the areas of Algebra and Geometry to conduct research under the direction of Dr Jason Semeraro on an EPSRC funded project “Exotic Representation Theory”. The aim of the project is to understand how recent state-of-the-art advances in homotopy theory (related to fixed points of classifying spaces) can be applied to study the local-global conjectures of modular representation theory. The project will last for up to 6 months and will be carried out jointly by the RA and Dr Jason Semeraro as the Supervisor / Principal Investigator (PI).
Job Purpose
- To conduct research in algebra and geometry; in particular generalisation of Deligne—Lusztig theory to the setting of spetses by applying methods from homotopy theory.
- To develop new techniques to tackle local-global conjectures in modular representation theory using fusion systems.
- To investigate the relationship between Hecke algebras and blocks of unipotent groups.
Job Duties
- To become familiar with relevant literature on Deligne—Lusztig theory and spetses.
- To learn and apply relevant homotopy-theoretic techniques such as constructing classifying spaces, decomposing spaces as homotopy colimits and taking fixed points under unstable Adams operators.
- To develop new techniques to prove local-global counting conjectures (relating local and global information concentrated at a prime).
- To apply methods from fusion systems to extract local information about compact Lie and p-compact groups.
- To write research papers suitable for publication in high quality academic journals.
- To disseminate results of the project at both national and international conferences.
- To support the PI by enhancing relationships with existing collaborators and by assisting the establishment of relationships with new collaborators.
- To undertake tasks assigned by the PI.
Key Requirements
- Background in algebra and/or algebraic topology.
- Experience of preparing and/or publishing original work as academic journal papers and/or conference papers.
- Research in representation theory and/or homotopy theory and/or group theory and/or fusion systems.
- Excellent written and oral communication skills.
- Self-motivated with ability to meet deadlines.
- Excellent interpersonal and organisational skills.
- Ability to work as part of a team and collaborate with others.
- Willingness to undertake further training as required.
- PhD (or near completion) in mathematics.
- Commitment to observing the University’s Equal Opportunities policy at all times.
Desirable
- Familiarity with the local-global conjectures in modular representation theory and the application of Deligne—Lusztig theory to these problems.
- Acquaintance with homotopy theory, p-local analysis, Hecke algebras and/or the theory of fusion systems.
- Knowledge of methods to reduce problems of representation theory to the case of simple groups.
- Working in a high-quality academic research environment.
- Authoring original work, in the highest quality refereed academic journals.
- A strong publication track record.
- Ability and willingness to teach at an undergraduate level.
For more information on the role please refer to the Job Description and Person Specification. Informal enquiries should be directed to Jason Semeraro, via email or by telephone.
Our Benefits
At Loughborough, our benefits are designed to support your life inside and outside of work, helping you to thrive and feel valued as part of our community. Examples of our benefits include generous holiday allowance, including 14 university closure days.
Research Associate in Algebra and Geometry - Loughborough employer: Loughborough University
Loughborough University is an exceptional employer, offering a vibrant academic environment that fosters innovation and collaboration in research. With a strong commitment to employee development, generous benefits including a substantial holiday allowance, and a supportive work culture, the university provides a fulfilling experience for those passionate about advancing knowledge in algebra and geometry. Located in the heart of Loughborough, employees enjoy a dynamic community atmosphere, making it an ideal place for meaningful and rewarding employment.
StudySmarter Expert Advice🤫
We think this is how you could land Research Associate in Algebra and Geometry - Loughborough
✨Tip Number 1
Network like a pro! Reach out to your academic contacts and let them know you're on the job hunt. They might have leads or even recommend you directly to hiring managers.
✨Tip Number 2
Prepare for interviews by diving deep into the latest research in algebra and geometry. Be ready to discuss how your work aligns with the project goals, especially around homotopy theory and representation theory.
✨Tip Number 3
Showcase your passion! When you get the chance to present your research, whether at conferences or during interviews, make sure to highlight your enthusiasm for the subject matter and your commitment to advancing knowledge in the field.
✨Tip Number 4
Don't forget to apply through our website! It’s the best way to ensure your application gets the attention it deserves. Plus, we love seeing candidates who take that extra step to connect with us directly.
We think you need these skills to ace Research Associate in Algebra and Geometry - Loughborough
Some tips for your application 🫡
Tailor Your Application:Make sure to customise your application to highlight your experience in algebra and geometry. We want to see how your background aligns with the specific research areas mentioned in the job description.
Show Off Your Research Skills:Don’t forget to mention any previous research projects or papers you've worked on, especially those related to representation theory or homotopy theory. This is your chance to shine and show us what you can bring to the table!
Be Clear and Concise:When writing your application, keep it clear and to the point. We appreciate well-structured applications that are easy to read. Make sure to proofread for any typos or errors before hitting send!
Apply Through Our Website:We encourage you to apply directly through our website. It’s the best way to ensure your application gets to us without any hiccups. Plus, you’ll find all the details you need right there!
How to prepare for a job interview at Loughborough University
✨Know Your Stuff
Make sure you’re well-versed in the latest research related to algebra and geometry, especially Deligne—Lusztig theory and homotopy theory. Brush up on relevant literature and be ready to discuss how these concepts apply to the local-global conjectures.
✨Showcase Your Research Skills
Prepare to talk about your previous research experiences, particularly any papers you've published or presented. Highlight your ability to conduct independent research and collaborate with others, as this role involves working closely with Dr Jason Semeraro.
✨Communicate Clearly
Since excellent communication skills are a must, practice explaining complex mathematical concepts in simple terms. Be ready to demonstrate your written and oral communication abilities, perhaps by discussing your past presentations or publications.
✨Be a Team Player
This position requires collaboration, so think of examples where you’ve successfully worked in a team. Show that you’re self-motivated but also value the input of others, and be prepared to discuss how you can enhance relationships with existing collaborators.
