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.
Date Position Institution name 2021 - 2021 Tutor - School of Mathematical Sciences University of Adelaide 2021 - 2021 Marker - School of Mathematical Sciences University of Adelaide 2021 - 2021 Tutor - School of Computer Science University of Adelaide 2021 - 2021 Marker - School of Computer Science University of Adelaide 2020 - 2021 Faculty of Engineering, Computer and Mathematical Sciences Board's Postgraduate Representative University of Adelaide 2019 - 2020 Tutor - School of Mathematical Sciences University of Adelaide 2019 - 2020 Marker - School of Mathematical Sciences University of Adelaide
Language Competency English Can read, write, speak and understand spoken German Can read, write, speak and understand spoken
Date Institution name Country Title 2019 - 2021 University of Adelaide Australia Master of Philosophy (Pure Mathematics) 2016 - 2018 University of Adelaide Australia Bachelor of Mathematical Sciences (Advanced)
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.
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
Date Role Board name Institution name Country 2020 - 2021 Board Member Faculty of Engineering, Computer and Mathematical Sciences Board University of Adelaide Australia
Date Event Name Event Type Institution Country 2021 - 2021 4th Australian Algebra Conference 2021 Conference Australian Algebra Group Australia 2020 - 2020 64th Australian Mathematical Society Conference 2020 Conference Australian Mathematical Society Australia 2019 - 2019 33rd Conference on Neural Information Processing Systems Conference Conference on Neural Information Processing Systems Canada 2019 - 2019 63rd Australian Mathematical Society Conference 2019 Conference Australian Mathematical Society Australia
Date Topic Presented at Institution Country 2021 - 2021 Approximation of higher order spectra results for twisted Laplace operators (GT)^2: Graduate Talks in Geometry and Topology (GT)^2: Graduate Talks in Geometry and Topology Australia 2020 - 2020 Approximation of Spectra Results for Twisted Laplace Operators (Parts 1-3) Complex Analysis Seminar Series University of Adelaide Australia 2020 - 2020 Advanced LaTeX & You Postgraduate Seminar University of Adelaide Australia 2019 - 2019 Learning Erdős-Rényi Random Graphs via Edge Detecting Queries 33rd Conference on Neural Information Processing Systems Conference on Neural Information Processing Systems Canada 2019 - 2019 Learning Large Random Graphs Via Group Queries 63rd Australian Mathematical Society Conference 2019 Australian Mathematical Society Australia
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