Keywords
Fields of Research (FoR)
Lie groups, harmonic and Fourier analysis, Group theory and generalisations, Category theory, k theory, homological algebra, Algebraic and differential geometryBiography
I am a lecturer in the School of Mathematics and Statistics.
Before this, I was a National Science Foundation Postdoctoral Fellow at the University of Sydney. I completed my PhD at the University of Utah in 2018.
For more information, see my personal website.
My Grants
2018-2021 National Science Foundation Postdoctoral Research Fellowship (USA), Award No. 803059
My Qualifications
2018 PhD in Mathematics,...view more
I am a lecturer in the School of Mathematics and Statistics.
Before this, I was a National Science Foundation Postdoctoral Fellow at the University of Sydney. I completed my PhD at the University of Utah in 2018.
For more information, see my personal website.
My Grants
2018-2021 National Science Foundation Postdoctoral Research Fellowship (USA), Award No. 803059
My Qualifications
2018 PhD in Mathematics, University of Utah (supervisor Dragan Milicic)
2011 Bachelor of Science in Mathematics (honours), Colorado State University (supervisor Jeff Achter)
2011 Bachelor of Art in Language, Literature and Culture (specialization Spanish), Colorado State University
My Research Activities
My research is in geometric and categorical representation theory. One branch of my research program aims to understand algebraic properties of representations of Lie algebras using D-modules via Beilinson-Bernstein localisation. Another branch of my research program applies categorical and diagrammatic techniques to the study of real group representations.
My Research Supervision
Supervision keywords
Areas of supervision
I am available to supervise students in Lie theory and representation theory. Interested students are encouraged to contact me to discuss potential projects.
Currently supervising
I have supervised or are currently supervising the following students:
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Simon Bohun, Beilinson-Bernstein localization on base affine space (Honours 2023)
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Victor Zhang, Diagrammatic categories in representation theory (Honours 2023)
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Zach Leong, Unitary dual of SL(2,R) (Honours 2024)
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Tasman Fell, Singular Soergel bimodules (research Masters, 2025)
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Victor Zhang, Diagrammatic Lusztig-Vogan categories (primary supervisor, PhD 2027)
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Daniel Dunmore, Module categories over Soergel bimodules (primary supervisor, PhD 2027)
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Thomas Dunmore, Quadratic fusion categories (secondary supervisor, PhD 2027)
My Teaching
2022 teaching:
- Term 1: Modules and Representation Theory: Math 5735
- Term 2: Mathematics 1A Algebra: Math 1231A
2024 teaching:
- Term 1: Modules and Representation Theory: Math 5735
Contact
ORCID as entered in ROS
https://orcid.org/0000-0002-9146-7217