Matthias Fresacher

Matthias Fresacher

School of Mathematical Sciences

Faculty of Engineering, Computer and Mathematical Sciences


Matthias Fresacher is an emerging researcher whose work focuses on bridging the gap between pure mathematics and theoretical physics research. Currently a Master of Philosophy student under the supervision of Asst. Prof. Peter Hochs (Radboud University), Assoc. Prof. Nicholas Buchdahl, Assoc. Prof. Thomas Leistner and Dr. David Baraglia at the School of Mathematical Sciences, Matthias is investigating how the analytic Laplace operator on a manifold can be approximated in a discrete setting using triangulations. By formalising this link, his thesis will lay the mathematical foundations for further understanding of the Discrete Magnetic Laplacian (DML), a special case of the Schrödinger operator.

Completing his Bachelor's degree in Adelaide and on exchange in 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. With a doctoral aim of collaborating across disciplines, Matthias plans to share his mathematical expertise to generate new theories and ideas that may lead to new innovations just like Einstein did with the development of manifolds and differential geometry.

My research interests lie at the intersection of different areas of pure mathematics, theoretical physics and computer science. For example examining the relationship between Laplacian operators in an analytic and discrete setting or collaborating with physicists to develop new physics theories based on pure mathematical tools.

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  • Conference Papers

    Year Citation
    2019 Li, Z., Fresacher, M., & Scarlett, J. (2019). Learning Erdos-Renyi Random Graphs via Edge Detecting Queries. In Advances in Neural Information Processing Systems 32. Vancouver.
  • Internet Publications

    Year Citation
    2019 Li, Z., Fresacher, M., & Scarlett, J. (2019). Learning Erdos-Rényi random graphs via edge detecting queries.

University of Adelaide Masters Scholarship recipient

Tutor & Marker for Mathematics 1A Semester 1 2021

Tutor & Marker for Programming (Matlab and C) Semester 1 2021

Tutor & Marker for Differential Equations for Engineers Semester 1 2020

Tutor for First Year Help Room 2019

Marker for Engineering Mathematics 2A Semester 1 2019


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