Matthias Fresacher (he/him) is an emerging researcher whose work focuses on analysing properties of the diagram monoids. Currently a Doctor of Philosophy student at Western Sydney University under the supervision of Assoc. Prof. James East, Matthias is investigating how the diagrams and operations of the diagram monoids can be generalised and aims to establish new properties of the original diagram monoids as well as the newly established generalisations.
Completing his Master's and Bachelor's degree at the University of Adelaide and on exchange at the National University of Singapore with a published paper, Matthias 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 ambitions whilst also continuing to develop his teaching skills and experience.
Matthias has lectured at Western Sydney University where he currently is a tutor and he also is an Indigenous academic mentor at the University of Adelaide.
Bachelor of Mathematical Sciences (Advanced) (Pure & Applied Mathematics)
07/2016 – 12/2018
National University of Singapore
Exchange
01/2018 – 12/2018
University of Adelaide
Bachelor of Music (Classical Performance (Trombone))
02/2013 – 12/2015
Publications
East, J., Fresacher, M., Muhammed, P. A. A, and Stokes, T. (2024). Categorical representation of DRC-semigroups. Preprint. [arXiv]
Fresacher, M. (2023). The pmdraw package. LaTeX Package. [CTAN] [zip]
Fresacher, M. (2021). Approximation of Higher Degree Spectra Results for Twisted Laplace Operators. Master thesis, The University of Adelaide. [pdf] [University of Adelaide]
Li, Z., Fresacher, M., and Scarlett, J. (2019). Learning Erdős-Rényi Random Graphs via Edge Detecting Queries. In Advances in Neural Information Processing Systems 32, pages 402–412. [pdf] [NeurIPS] [arXiv]
Database Entries
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]
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]
Supervision
Western Sydney University
Luka Carroll
Australian Mathematical Sciences Institute (AMSI) Summer Research Scholarship
Co-supervisor
12/2024 – 02/2025
Western Sydney University
Saakshi Singh
Australian Mathematical Sciences Institute (AMSI) Summer Research Scholarship
Co-supervisor
12/2023 – 02/2024
Employment & Teaching
University of Adelaide
Wirltu Yarlu Academic Mentoring Program (WYAMP)
Mentor
02/2022 – 12/2024
University of Adelaide
Karnkanthi Indigenous Education Program
Mentor
06/2022 – 12/2024
Western Sydney University
School of Computer, Data and Mathematical Sciences
Tutor, marker & invigilator
02/2023 – 12/2024
Western Sydney University
School of Computer, Data and Mathematical Sciences
Lecturer & course coordinator
03/2024 – 07/2024
University of Technology Sydney
School of Mathematical and Physical Sciences
Tutor, marker & invigilator
02/2024 – 06/2024
University of Technology Sydney
School of Mathematical and Physical Sciences
Tutor, marker & invigilator
02/2023 – 06/2023
University of Adelaide
School of Computer Science
Tutor, marker & invigilator
03/2021 – 06/2023
University of Adelaide
School of Mathematical Sciences
Tutor & marker
03/2021 – 12/2021
University of Adelaide
School of Mathematical Sciences
Tutor, marker & invigilator
03/2019 – 06/2020
Talks
University of Technology Sydney Groups Analysis Geometry Seminar
