Research interests:
Geometric group theory, CW-complexes, higher-rank graphs, operator algebras, K-theory
Education:
2018–present Newcastle University – PhD in Pure Mathematics
Thesis title: New models of higher-rank graph algebras arising from buildings, and computation of their K-theory
Advisor: Dr Alina Vdovina
2017–2018 University of Sheffield – MSc in Pure Mathematics
Dissertation title: Determining the Amenability of Discrete and Locally Compact Groups
Advisor: Dr Paul Mitchener
2012–2016 University of Sheffield and Universitat de Barcelona – BSc in Mathematics with Spanish
Articles:
The K-theory of the C*-algebras of 2-rank graphs associated to complete bipartite graphs
Sam A. Mutter
Journal of the Australian Mathematical Society Vol. 113 (2022) 119–144
Higher-dimensional dominoes and k-rank graphs
Sam A. Mutter
Newsletter of the London Mathematical Society 496 (2021), 34–36
C*-algebras of higher-rank graphs from groups acting on buildings, and explicit computation of their K-theory
Sam A. Mutter, Aura-Cristiana Radu and Alina Vdovina
S.A. Mutter, A.-C. Radu and A. Vdovina (2024)
Publicacions Matemàtiques 68 (2024) 187–217
Languages:
English (mother tongue)
Spanish (proficiency)
Portuguese (B1)
Catalan (A2)
German (A2)
Chinese (basic)
Awards:
2021-06 Graduate student talk prize
LMS graduate student meeting
2021-05 Postgraduate prize for achievement in research
Newcastle University
Recent talks:
2022-05 The domino complex: K-theory and geometry
C*-algebras and geometry of semigroups and groups, Oslo, Norway
2021-06 k-Dimensional dominoes and k-rank graphs
LMS graduate student meeting, London, UK
2021-03 The K-theory of higher-rank graph algebras, coming from “k-cube groups”
Online workshop: C*-algebras and geometry of semigroups and groups, Oslo, Norway
2021-02 A new class of k-rank graph algebras, coming from “k-cube groups”
Geometry and Algebra seminar, Newcastle, UK
2020-12 Express guide to higher-rank graphs
North East Algebra Talks (NEAT), Newcastle, UK
2019-10 Enumerating 1-vertex quadrangulations of surfaces using bi-Eulerian paths
BRIJGES, Bristol, UK
2019-10 Buildings: From the ground up
Junior Algebra Seminar, Newcastle, UK
2019-07 Counting bi-Eulerian paths around 4-regular multigraphs
PGTC, Birmingham, UK
2019-07 Wicks forms and quartic graphs
yGGT VIII, Bilbao, Spain
Teaching:
Marking, demonstrating, TA, drop-in class host, exam setter, and seminar leader roles in various combinations, amongst the following:
Logic, Sets and Counting (year 1)
Multivariate Calculus and Differential Equations (year 1)
Complex Analysis and Algebra (year 2)
Vector Spaces, Groups and Algorithms (year 2)
Graphs and Symmetries (year 3)
Group Theory (year 3)
Conference organization:
2021–2022 Postgraduate Forum
Weekly internal seminar series across Maths, Stats and Physics at Newcastle University
2022-07 Equations in Groups and Complexity
LMS-funded conference centred around a lecture series by Olga Kharlampovich (co-organized with Alina Vdovina)
2021-08 Groups, Graphs, Geometry and Complexity
Online conference (co-organized with Alina Vdovina)
2019–2020 North East Algebra Talks
In-person seminar series for young researchers in Algebra and Geometry across the UK