Matthias Fresacher

Matthias Fresacher (he/him) is an emerging researcher whose work focuses on analysing properties of the diagram monoids as well as semigroup theory more generally. Currently a Doctor of Philosophy student at Western Sydney University under the supervision of Assoc. Prof. James East, Matthias is investigating the congruence lattices of the finite twisted Brauer and Temperley-Lieb monoids diagrams and related properties and generalisations.

Completing his Master's and Bachelor's degree at the University of Adelaide and on exchange at the National University of Singapore, Matthias has since built a wide ranging publication portfolio and strives to continue to build his academic presence by researching a growing array of problems in various areas of pure mathematics and related subjects. With a general research aim of collaborating across disciplines, Matthias looks forward to exploring new problems and collaborations in his post doctoral and academic career ambitions whilst also continuing to develop his teaching and supervising skills and experience.

Teaching wise, Matthias has course coordinated, lectured and tutored at Western Sydney University, the University of Adelaide and the University of Technology Sydney.

Matthias was the inaugural President and founder of the Association of Australian Mathematics Students (AAMS).

Research Interests

Abstract algebra, semigroups, monoids, diagram monoids/algebras, and related areas such as category theory, algorithms, CAS, amongst others.

Contents

1. Contact
2. Education & Qualifications
3. Publications
4. In preparation
5. Non-academic Publications
6. Supervision
7. Employment & Teaching
8. Grants & Funding
9. Talks
10. Awards & Prizes
11. Leadership & Initiatives
12. Conferences
13. Languages

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Contact

Postal address:	Matthias Fresacher
	Centre for Research in Mathematics and Data Science
	School of Computer, Data and Mathematical Sciences
	Western Sydney University
	Locked Bag 1797, Penrith NSW 2751
	Australia
Office:	Parramatta South Campus, Building EN
Email:	m.fresacher@westernsydney.edu.au
Website:	matthias-fresacher.github.io/
Google Scholar:	scholar.google.com/citations?user=njdtJ6sAAAAJ
ORCID:	orcid.org/0000-0003-0677-3701 (not actively maintained)
GitHub:	github.com/Matthias-Fresacher
Profiles:	researchers.adelaide.edu.au/profile/matthias.fresacher (historic)
	www.youtube.com/@MatthiasFresacher

Education & Qualifications

Publications

Sorted reverse chronologically

[1] Carroll, L., East, J., and Fresacher, M. (2026). Presentations for semigroups of full-domain partitions. International Journal of Algebra and Computation, vol. 36, no. 5, pages 531 – 579. [doi] [arXiv]

[2] Boland, J., Fresacher, M., Hill, D., Jin, S., Li, Y., Mills, G., Nam, K., Oakeshotte, C., and Olenko, A. (2026). Measures of Reliability Risk for the Australian Energy Sector. Proceedings of ANZIAM, vol. 65, pages M4 – M41. [Proceedings of ANZIAM]

[3] East, J., Fresacher, M., Muhammed, P. A. A., and Stokes, T. (2026). Categorical representation of DRC-semigroups. Journal of Algebra, vol. 691, pages 230-291. [doi] [arXiv]

[4] Fresacher, M. (2021). Approximation of Higher Degree Spectra Results for Twisted Laplace Operators. Master thesis, The University of Adelaide. [pdf] [University of Adelaide]

[5] Li, Z., Fresacher, M., and Scarlett, J. (2019). Learning Erdős-Rényi Random Graphs via Edge Detecting Queries. Advances in Neural Information Processing Systems 32, pages 402 – 412. [pdf] [poster] [NeurIPS] [arXiv]

[6] Fresacher, M., Stewart, W. and Tubbenhauer, D. Generalized diagram categories and monoids, and their representations. Under review. [arXiv]

[7] Chan, K., Cope, R., Flegg, M., Fresacher, M., Gorelick, S., Lee, B., Lydeamore, M. J., and Stokes, B. Localisation of a point target using cryo-electron microscopy imaging. Under review.

In preparation

Sorted alphabetically

[1] Carroll, L., East, J., Fresacher, M., Lyu, M., and Muhammed, P. A. A. Presentations for semigroups of trivial-cokernel partitions. In preparation.

[2] Cho, J. W., East, J., Fresacher, M., Muhammed, P. A. A., and Ruškuc, N. Free monogenic regular *-semigroups. In preparation.

[3] Chowdhury, S., East, J., Fresacher, M., and Muhammed, P. A. A. Walled Brauer monoids. In preparation.

[4] East, J. and Fresacher, M. Congruence lattices of 0-twisted Brauer & Temperley-Lieb monoids. In preparation.

[5] East, J., Fresacher, M., Gould, V., Kinyon, M., Muhammed, P. A. A., Stokes, T. and Umar A. Quasi-identities satisfied by the partition monoid and its projection algebra. In preparation.

[6] Fresacher, M., and Gould, V. Translational hulls of 0-twisted diagram monoids. In preparation.

[7] Fresacher, M., Stewart, W. and Tubbenhauer, D. Tight twistings of semigroups. In preparation.

Non-academic Publications

Sorted reverse chronologically

[1] Fresacher, M. (2025). A successful return of a student conference. In AustMS Gazette, vol. 52(1), pages 24 – 25. [AustMS]

[2] Fresacher, M. (2024). Number of congruences of the $0$-twisted Temperley-Lieb monoid of degree $n$. Entry A373011 in The On-Line Encyclopedia of Integer Sequence. [OEIS]

[3] Fresacher, M. (2024). Number of congruences of the $0$-twisted Brauer monoid of degree $n$. Entry A368923 in The On-Line Encyclopedia of Integer Sequence. [OEIS]

[4] Fresacher, M. (2023). The pmdraw package. LaTeX Package. [CTAN]

Supervision

Employment & Teaching

Grants & Fundings

Talks

Awards & Prizes

Leadership & Initiatives

Conferences

Languages

Last updated June 2026. No guarantees are made about the accuracy of this information. Copyright 2022-2026 Fresacher. All Rights Reserved.