Matthew Conder
Research FellowAbout Me
I am currently a Research Fellow in the Mathematics Department at the University of Auckland, where I have been employed since completing a PhD at the University of Cambridge in 2020.
My research interests lie at the intersection between geometric and computational group theory. I am particularly interested in developing and implementing algorithms for groups acting on combinatorial structures.
Publications and preprints
- M. J. Conder and J. Schillewaert, Discrete two-generator subgroups of PSL2 over non-archimedean local fields, https://arxiv.org/abs/2208.12404
- M. J. Conder and J. Schillewaert, A strong Schottky lemma on n generators for CAT(0) spaces, Münster J. Math. 15:1 (2022), 235–240.
https://doi.org/10.17879/23049544813 - M. J. Conder, Discrete and free groups acting on locally finite trees, J. Algebra 597 (2022), 162-189.
https://doi.org/10.1016/j.jalgebra.2022.01.011 - M. J. Conder, Discrete and free two-generated subgroups of SL2 over non-archimedean local fields, J. Algebra 553 (2020), 248–267.
https://doi.org/10.1016/j.jalgebra.2020.02.015 - M. J. Conder and A. Litterick, Further rigid triples of classes in G2, Int. J. Group Theory 8 (2019), 5-9.
http://doi.org/10.22108/ijgt.2018.111467.1481
Selected Invited Talks
- SMRI Seminar, Sydney Mathematics Research Institute, November 2022
- Symmetry in Newcastle, University of Newcastle, July 2022
- Groups and Geometries Workshop, Matrix Institute, Melbourne, December 2021
- Computational Group Theory Workshop, Oberwolfach, August 2021
- Perspectives in Algebra, Geometry and Number Theory, Queenstown, April 2021
- Geometric and Asymptotic Group Theory with Applications, ICMS Edinburgh, June 2020
- Groups and their Applications “Triangle” Meeting, Birkbeck, University of London, December 2019
Teaching Experience
- Lecturer (University of Auckland)
– MATHS 208 (General Mathematics II), Semester 2 2022
– MATHS 328 (Algebra and Applications), Semester 1 2021 & 2022 - Undergraduate Supervisor (University of Cambridge)
– Part II Number Theory, Michaelmas Term 2017-19
– Part II Representation Theory, Lent Term 2017-2018 - Teaching Assistant (University of Auckland)
– MATHS 208 (General Mathematics 2)
– MATHS 255 (Principles of Mathematics)
– MATHS 108 (General Mathematics 1)
Professional Service
- Organiser, NZMRI Summer School 2023 “Groups, Geometry and Dynamics” – see https://sites.google.com/view/nzmri2023
- Supervisor of a PhD student, two BSc(Hons) students and two summer research students (University of Auckland, 2021-present)
- Co-chair, Algebra and Combinatorics Seminar (University of Auckland, 2021-present)
- Secretary, Faculty of Science Research Fellow Society (University of Auckland, 2022)
- Judge, Mathematics Student Research Conference (University of Auckland, 2021 and 2022)
- Chair, Junior Algebra Seminar (University of Cambridge, Lent Term 2020)
Contact Information
Department of Mathematics
University of Auckland
38 Princes Street
Auckland 1010
New Zealand