Projects per year
Personal profile
Biography
I am a Professor in the School of Mathematics at Monash University, and Associate Dean Graduate Education in the Faculty of Science.
My research interests are in algebra and group theory. I am particularly interested in computational group theory, and mathematical areas that use computational methods of algebra.
Please see my website for more details.
Supervision interests
I am interested in supervising students in the area of computational algebra. Students eager to discuss options should first have a look at my research background and interests as outlined on my website. I generally ignore non-personal e-mails and random requests which are clearly outside my area.
Monash teaching commitment
I am / was mainly involved in the following units:
MTH2141/3141 (Algebra 1: Group Theory): chief examiner, coordinator, lecturer
MTH3150 (Algebra 2: Rings and Field): chief examiner, coordinator, lecturer
MTH4141/5141 (Computational Group Theory): chief examiner, coordinator, lecturer
MAT9004 (Mathematical Foundations for Data Science and AI): co-lecturer
Community service
Between 2013-2023 I was actively involved in CSIRO's https://www.csiro.au/en/Education/Programs/STEM-Professionals-in-Schools.
Research area keywords
- computational group theory
- computational algebra
- finite groups
- Lie algebras
Collaborations and top research areas from the last five years
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Actions of Simple Groups
Dietrich, H. (Primary Chief Investigator (PCI)), Tomas, A. (Chief Investigator (CI)) & Lee, M. (Chief Investigator (CI))
1/08/25 → 31/07/26
Project: Research
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Computing with Lie groups and algebras: nilpotent orbits and applications
Dietrich, H. (Primary Chief Investigator (PCI)) & de Graaf, W. A. (Partner Investigator (PI))
ARC - Australian Research Council
1/04/19 → 1/08/23
Project: Research
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Groups of Prime-Power Order and Coclass Theory
Dietrich, H. (Primary Chief Investigator (PCI)) & Eick, B. (Partner Investigator (PI))
1/01/15 → 31/12/16
Project: Research
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Computing with matrix groups and Lie algebras: new concepts and applications
Dietrich, H. (Primary Chief Investigator (PCI))
ARC - Australian Research Council
1/02/14 → 1/02/17
Project: Research
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Explicit construction of the maximal subgroups of the Monster
Dietrich, H., Lee, M., Pisani, A. & Popiel, T., 1 Mar 2026, In: Journal of Algebra. 689, p. 862-895 34 p.Research output: Contribution to journal › Article › Research › peer-review
Open Access -
A Block Structure for Cocyclic Hadamard Matrices of Order 8p
Barrera Acevedo, S., Dietrich, H. & Vaidya, K., 5 May 2025, In: Mathematics in Computer Science. 19, 1, 13 p., 3.Research output: Contribution to journal › Article › Research › peer-review
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Centraliser algebras of monomial representations and applications in combinatorics
Acevedo, S. B., Catháin, P., Dietrich, H. & Egan, R., 2025, In: Algebraic Combinatorics. 8, 3, p. 687-710 24 p.Research output: Contribution to journal › Article › Research › peer-review
Open Access -
Computational Group Theory
Dietrich, H., Eick, B., Nebe, G. & Roney-Dougal, C., 10 Dec 2025, In: Oberwolfach Reports. 22, 2, p. 1389–1450 62 p.Research output: Contribution to journal › Review Article › Other › peer-review
Open Access -
The maximal subgroups of the Monster
Dietrich, H., Lee, M. & Popiel, T., May 2025, In: Advances in Mathematics. 469, 33 p., 110214.Research output: Contribution to journal › Article › Research › peer-review
6 Citations (Scopus)
Prizes
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Australian Research Council Discovery Early Career Researcher Award
Dietrich, H. (Recipient), 2013
Prize: Competitive Fellowships
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Cheryl E. Praeger Visiting Research Fellowship 2022
Dietrich, H. (Recipient), 2022
Prize: Other distinction
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Monash Faculty of Science Commendation Award for Excellence in Research by an Early Career Researcher 2014
Dietrich, H. (Recipient), 2014
Prize: Other distinction
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Mathematische Nachrichten (Journal)
Dietrich, H. (Associate editor)
Feb 2024 → …Activity: Publication peer-review and editorial work types › Editorial responsibility
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Journal of Computational Algebra (Journal)
Dietrich, H. (Associate editor)
2023 → …Activity: Publication peer-review and editorial work types › Editorial responsibility
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Beitrage zur Algebra und Geometrie (Journal)
Dietrich, H. (Editorial board member)
2023 → …Activity: Publication peer-review and editorial work types › Editorial responsibility
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Akita International University
Dietrich, H. (Visiting researcher)
31 Jan 2022 → 4 Mar 2022Activity: Visiting an external institution types › Visiting an external academic institution
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Applicable Algebra in Engineering Communication and Computing (Journal)
Dietrich, H. (Editorial board member)
2019 → …Activity: Publication peer-review and editorial work types › Editorial responsibility