Senior Research Associate - 1137-26

Reference:

1137-26

The School of Mathematical Sciences at Lancaster University invites applications for a three-year postdoctoral position to work on the project “Mutations and geometric models”. The Principal Investigator is Dr Coelho Simões and it is funded by the Engineering and Physical Sciences Research Council (EPSRC) grant APP67184. Candidates with a strong track record in one of the fields of homological algebra, representation theory or algebraic combinatorics are encouraged to apply.

Kontsevich introduced Calabi-Yau (CY) triangulated categories in the context of mirror symmetry, and have since become ubiquitous in mathematics, particularly in geometry and representation theory. Due to their physical origin, n-CY categories have been extensively studied for n=2,3. However, as a homological condition, the n-CY property can be studied for any integer n. This means there are many more examples of n-CY categories than those of physical origin. Many categories naturally arising in modular representation theory, singularity theory, Fuss-Catalan combinatorics, and higher homological algebra are n-CY for n different from 2 and 3. The systematic study of CY categories in these wider contexts is in its infancy and many aspects remain poorly understood. The main aim of the project seeks to provide methods to address this shortfall using mutations and geometric models.

You are expected to hold a PhD degree in mathematics or a related discipline, with specialism in one of the fields of homological algebra, representation theory or algebraic combinatorics. Expertise in triangulated categories, representation theory of finite-dimensional algebras, combinatorial/geometric models arising from surfaces, singularity theory or modular representation theory is highly desirable. You will be expected to learn quickly, engage with new ideas, and contribute new insights.

This work will take place in our thriving Pure Mathematics section, which has considerable expertise in algebra, geometry, analysis, probability, and discrete mathematics. Lancaster is one of the UK’s top departments in Mathematical Sciences, ranked 7th in the most recent Research Excellence Framework, and joint 1st for the impact of its research. The School, which holds an Athena SWAN Bronze Award, strives to provide a supportive and friendly environment for early career researchers, and offers a comprehensive career development programme. You will be able to focus on your research as the post carries no teaching or administrative duties. Teaching experience will be available on a voluntary basis should you wish to gain teaching experience. You will be encouraged to conduct research visits and will have access to travel funds to do so.

The position starts on 1st February 2027 (or as soon as possible after), for up to 36 months. When applying, in addition to completing the online application, candidates should attach a full CV, a cover letter, a 1-page research statement describing how your expertise is relevant to this position and your future research plans, and the details of two referees. Interviews will take place in December and will be conducted online.

Please contact Dr Raquel Coelho Simões () if you would like further information, or to discuss the post informally.

Further Details:

Please note: unless specified otherwise in the advert, all advertised roles are UK based.

Find out what it's like to , including information on our wide range of employee benefits, support networks and our policies and facilities for a family-friendly workplace.

The University recognises and celebrates good employment practice undertaken to address all inequality in higher education whilst promoting the importance and wellbeing for all our colleagues.

We warmly welcome applicants from all sections of the community regardless of their age, religion, gender identity or expression, race, disability or sexual orientation, and are committed to promoting diversity, and equality of opportunity.

#divSocialMedia { padding:10px 0; overflow:hidden; } #divSocialMedia span { margin-right:5px; } #divSocialMedia div { display:inline-block; margin:10px 5px; } #divSocialMedia a { font-size:1.5rem; font-family:sans-serif; border:1px solid #888; border-radius:50%; padding:8px; } #divSocialMedia i { font-size:1.5rem; } #divSocialMedia a:focus { outline-offset:2px; } let socialMediaClipboardId = -1; function socialMediaClipboard(lnk) { let url = lnk.getAttribute("data-url"); if (!navigator.clipboard) { fallBack(); } else { navigator.clipboard.writeText(url).then(success, fallBack); } function fallBack() { let ta = document.createElement("textarea"); ta.textContent = url; document.body.appendChild(ta); ta.select(); try { document.execCommand("copy"); document.body.removeChild(ta); success(); } catch (ex) { document.body.removeChild(ta); alert("Sorry, it is not possible to copy the advert link to your clipboard"); } } function success() { if (typeof lnk.origTitle == "undefined") lnk.originalTitle = lnk.title; lnk.title = lnk.getAttribute("data-succtitle"); let orig = lnk.getAttribute("data-origicon"), succ = lnk.getAttribute("data-succicon"); let i = lnk.getElementsByTagName("i")[0]; i.classList.remove(orig); i.classList.add(succ); clearTimeout(socialMediaClipboardId); socialMediaClipboardId = setTimeout(function () { lnk.title = lnk.originalTitle; i.classList.remove(succ); i.classList.add(orig); }, 4000); } return false; } Share: