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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Appointments
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 Competencies
Language Competency English Can read, write, speak and understand spoken German Can read, write, speak and understand spoken 
Education
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) 
Research Interests

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Conference Papers
Year Citation 2019 Li, Z., Fresacher, M., & Scarlett, J. (2019). Learning ErdosRenyi 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 ErdosRényi 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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Board Memberships
Date Role Board name Institution name Country 2020  2021 Board Member Faculty of Engineering, Computer and Mathematical Sciences Board University of Adelaide Australia 
Memberships
Date Role Membership Country 2019  ongoing Member Australian Mathematical Society Australia 2019  ongoing Member Institute for Geometry and its Applications Australia 
Event Participation
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 
Presentation
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 13) Complex Analysis Seminar Series University of Adelaide Australia 2020  2020 Advanced LaTeX & You Postgraduate Seminar University of Adelaide Australia 2019  2019 Learning ErdősRényi 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
Connect With Me
External Profiles