Research output per year
Research output per year
Personal profile
SUMMARY of research interests (100 words)
My research interests lie in the areas of representation theory, homological algebra and algebraic combinatorics. Currently, my main focus is on studying representation theory via geometric and combinatorial methods and understanding the homological properties of Calabi-Yau triangulated categories, particularly transferring powerful ideas from cluster-tilting theory to the theory of stable module categories studied in modular representation theory.
Research Grants
2020-2022: Marie Skłodowska-Curie Individual Fellowship, Lancaster.
2013-2019: Fundação para a Ciência e a Tecnologia (Science and Technology Foundation) postdoctoral fellowship, Lisbon.
2013: Riemann Fellowship, Hannover.
Current Teaching
Lent term 2020/21: MATH325/425 Representation Theory of Finite Groups.
Course materials are available on Moodle.
Collaborations and top research areas from the last five years
Recent external collaboration on country/territory level. Dive into details by clicking on the dots or
Projects
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Mutations and Geometric Models
Coelho Guardado Simoes, R. (Principal Investigator)
Engineering and Physical Sciences Research Council
Project: Research
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A geometric model for the module category of a string algebra
Baur, K. & Coelho Guardado Simoes, R., 12/03/2024, (Unpublished) Arxiv, 33 p.Research output: Working paper › Preprint
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Simple tilts of length hearts and simple-minded mutation
Broomhead, N., Coelho Guardado Simoes, R., Pauksztello, D. & Woolf, J., 01/2024, (Unpublished).Research output: Working paper › Preprint
File137 Downloads (Pure) -
Functorially finite hearts, simple-minded systems in negative cluster categories, and noncrossing partitions
Coelho Guardado Simoes, R., Pauksztello, D., Ploog, D. & Zvonareva, A., 31/01/2022, In: Compositio Mathematica. 158, 1, p. 211-243 33 p.Research output: Contribution to Journal/Magazine › Journal article › peer-review
Open AccessFile168 Downloads (Pure) -
A geometric model for the module category of a gentle algebra
Baur, K. & Coelho Guardado Simoes, R., 31/07/2021, In: International Mathematics Research Notices. 2021, 15, p. 11357-11392 36 p.Research output: Contribution to Journal/Magazine › Journal article › peer-review
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Auslander-Reiten theory of finite dimensional algebras
Coelho Guardado Simoes, R., 21/09/2021, (Unpublished). 23 p.Research output: Contribution to conference - Without ISBN/ISSN › Other
File130 Downloads (Pure)
Activities
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Clusters and their Applications in the North (CLAN): Fourth Meeting
Coelho Guardado Simoes, R. (Organiser), Felikson, A. (Organiser), Pauksztello, D. (Organiser), Shapiro, A. (Organiser), Tumarkin, P. (Organiser), Wilson, J. (Organiser) & Yildirim, E. (Organiser)
25/06/2025Activity: Participating in or organising an event types › Participation in conference - Academic
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Clusters and their Applications in the North (CLAN): Third Meeting
Coelho Guardado Simoes, R. (Organiser), Felikson, A. (Organiser), Pauksztello, D. (Organiser), Shapiro, A. (Organiser), Tumarkin, P. (Organiser), Wilson, J. (Organiser) & Yildirim, E. (Organiser)
31/03/2025Activity: Participating in or organising an event types › Participation in conference - Academic
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Blackpool Sixth-Form College
Coelho Guardado Simoes, R. (Organiser), Campbell, R. (Organiser) & Groves, J. (Speaker)
28/02/2025Activity: Business or School/HEI Engagement › School Engagement
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20 schools from across the North West, North East and Yorkshire
Groves, J. (Organiser), Prendiville, S. (Organiser), Coelho Guardado Simoes, R. (Chair), Barnett, H. (Chair), Euan, C. (Speaker) & Collyer-Hoar, G. (Speaker)
9/01/2025Activity: Business or School/HEI Engagement › School Engagement
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Winstanley College
Coelho Simoes, R. (Organiser), Campbell, R. (Organiser), Prendiville, S. (Speaker) & Fretwell, D. (Speaker)
8/11/2024Activity: Business or School/HEI Engagement › School Engagement