Dr Matthew Pressland

  • Research Associate (Mathematics)

email: Matthew.Pressland@glasgow.ac.uk
pronouns: He/him/his

Office 423, School of Mathematics and Statistics, University of Glasgow, Glasgow, G12 8QQ

Import to contacts

ORCID iDhttps://orcid.org/0000-0002-9631-3583

Biography

I am an EPSRC postdoctoral fellow at the University of Glasgow, currently studying dimer models with boundary. More broadly, my research deals with the connections betwen representation theory and geometry, often motivated by combinatorial phenomena appearing in cluster algebras.

I previously held a position in Steffen Koenig's group at the Institut für Algebra und Zahlentheorie at Universität Stuttgart, was a postdoctoral fellow at the Max-Planck-Institut für Mathematik, and was a PhD student at the University of Bath, advised by Alastair King. I have also spent two months as a guest of Henning Krause's BIREP group at Universität Bielefeld.

I am one of the administrators of the FDLIST, a mailing list and community for representation theorists with an interest in finite-dimensional algebras, and in particular maintain the list of workshops, conferences and seminars.

For more information, see my personal webpage.

Research interests

My research deals mainly with connections between representation theory (of quivers and associative algebras) and geometry (algebraic and combinatorial), often motivated by combinatorial phenomena appearing in cluster theory and related areas.

Research groups

Publications

List by: Type | Date

Jump to: 2024 | 2023 | 2022 | 2020 | 2018 | 2017
Number of items: 9.

2024

Çanakçı, İ., King, A. and Pressland, M. (2024) Perfect matching modules, dimer partition functions and cluster characters. Advances in Mathematics, 443, 109570. (doi: 10.1016/j.aim.2024.109570)

2023

Pressland, M. (2023) A categorification of acyclic principal coefficient cluster algebras. Nagoya Mathematical Journal, (doi: 10.1017/nmj.2023.6) (Early Online Publication)

2022

Pressland, M. and Sauter, J. (2022) On quiver Grassmannians and orbit closures for gen-finite modules. Algebras and Representation Theory, 25(2), pp. 413-445. (doi: 10.1007/s10468-021-10028-y)

Pressland, M. and Sauter, J. (2022) Special tilting modules for algebras with positive dominant dimension. Glasgow Mathematical Journal, 64(1), pp. 79-105. (doi: 10.1017/S0017089520000609)

Pressland, M. (2022) Calabi–Yau properties of Postnikov diagrams. Forum of Mathematics, Sigma, 10, e56. (doi: 10.1017/fms.2022.52)

2020

Pressland, M. (2020) Mutation of frozen Jacobian algebras. Journal of Algebra, 546, pp. 236-273. (doi: 10.1016/j.jalgebra.2019.10.035)

2018

Grabowski, J. E. and Pressland, M. (2018) Graded Frobenius cluster categories. Documenta Mathematica, 23, pp. 49-76. (doi: 10.25537/DM.2018V23.49-76)

2017

Pressland, M. (2017) Internally Calabi–Yau algebras and cluster-tilting objects. Mathematische Zeitschrift, 287(1-2), pp. 555-585. (doi: 10.1007/s00209-016-1837-0)

King, A. and Pressland, M. (2017) Labelled seeds and the mutation group. Mathematical Proceedings of the Cambridge Philosophical Society, 163(2), pp. 193-217. (doi: 10.1017/s0305004116000918)

This list was generated on Wed May 29 07:37:56 2024 BST.
Jump to: Articles
Number of items: 9.

Articles

Çanakçı, İ., King, A. and Pressland, M. (2024) Perfect matching modules, dimer partition functions and cluster characters. Advances in Mathematics, 443, 109570. (doi: 10.1016/j.aim.2024.109570)

Pressland, M. (2023) A categorification of acyclic principal coefficient cluster algebras. Nagoya Mathematical Journal, (doi: 10.1017/nmj.2023.6) (Early Online Publication)

Pressland, M. and Sauter, J. (2022) On quiver Grassmannians and orbit closures for gen-finite modules. Algebras and Representation Theory, 25(2), pp. 413-445. (doi: 10.1007/s10468-021-10028-y)

Pressland, M. and Sauter, J. (2022) Special tilting modules for algebras with positive dominant dimension. Glasgow Mathematical Journal, 64(1), pp. 79-105. (doi: 10.1017/S0017089520000609)

Pressland, M. (2022) Calabi–Yau properties of Postnikov diagrams. Forum of Mathematics, Sigma, 10, e56. (doi: 10.1017/fms.2022.52)

Pressland, M. (2020) Mutation of frozen Jacobian algebras. Journal of Algebra, 546, pp. 236-273. (doi: 10.1016/j.jalgebra.2019.10.035)

Grabowski, J. E. and Pressland, M. (2018) Graded Frobenius cluster categories. Documenta Mathematica, 23, pp. 49-76. (doi: 10.25537/DM.2018V23.49-76)

Pressland, M. (2017) Internally Calabi–Yau algebras and cluster-tilting objects. Mathematische Zeitschrift, 287(1-2), pp. 555-585. (doi: 10.1007/s00209-016-1837-0)

King, A. and Pressland, M. (2017) Labelled seeds and the mutation group. Mathematical Proceedings of the Cambridge Philosophical Society, 163(2), pp. 193-217. (doi: 10.1017/s0305004116000918)

This list was generated on Wed May 29 07:37:56 2024 BST.

Grants

EP/T001771/1 Dimer Models with Boundary (2020–2023)

Teaching

2023–04: Metric Spaces and Basic Topology