Anthony Pisani
π§ anthony.pisani1@monash.edu
π Melbourne, AU
Research interests
- Group theory (simple groups, permutation groups)
- Computational algebra
Education
PhD in Mathematics
π Aug. 2025 β Present β’ π« Monash University
- Supervisors: Dr. Melissa Lee, Prof. Heiko Dietrich
- Thesis Title: Effective Computation in Quasisimple Groups
- To date, review of the theory of classical groups and their maximal subgroups. Current notes 40 pages.
Bachelor of Science Advanced - Research (Honours)
π Mar. 2021 β Nov. 2024 β’ π« Monash University
- Extended Major in Pure Mathematics, Minor in Mathematics
- WAM 93.569, GPA 3.969, and First-Class Honours
Research Projects
Research Assistantship
π Jan. 2025 β Jul. 2025 β’ π« Monash University
- Studied Saxl graphs[1] and generalisations; to publish as "The Saxl hypergraph of a permutation group."
Honours Project
π Mar. 2024 β Oct. 2024 β’ π« Monash University
- Supervised by Dr. Melissa Lee and Prof. Heiko Dietrich.
- Resulted in the paper "Explicit construction of the maximal subgroups of the Monster."
Undergraduate Unit
π Nov. 2023 β Feb. 2024 β’ π« Monash University
- Supervised by Dr. Tomasz Popiel.
- Resulted in the publication "Conjugacy class fusion from four maximal subgroups of the Monster."
Selected Awards
Maxwell King PhD Scholarship[2]
π 2026 β’ π« Monash University
Awarded to one STEM PhD student at Monash each year.
Pure Mathematics Prize[3]
π 2024 β’ π« Monash University
For the highest-scoring pure mathematics Honours student.
Ivy May Frary Mathematical Sciences Honours Scholarship[4]
π 2024 β’ π« Monash University
Awarded to the best Mathematical Sciences Honours student at Monash University.
Gordon Preston Pure Mathematics Honours Award[3]
π 2024 β’ π« Monash University
School of Mathematics award for best entering full-time pure mathematics Honours student.
Dean's Honours List[5]
π 2022 β 2024 β’ π« Monash University
For the top 20 students each year in the Faculty of Science.
Programming
- Significant experience in LaTeX, Python, and Unix shell scripting.
- Familiar with HTML, CSS, and JavaScript.
- Limited experience with GAP.
Publications
The Saxl hypergraph of a permutation group
(with M. Lee).
Preprint (2025).
Computing the character table of a 2-local maximal subgroup of the Monster.
Journal of Symbolic Computation, 135 (2026) 102540.
Computing the character table of a 2-local maximal subgroup of the Monster.
Preprint (2025).
Explicit construction of the maximal subgroups of the Monster
(with H. Dietrich, M. Lee and A. Pisani).
Journal of Algebra, 689 (2026) 862β895.
Conjugacy class fusion from four maximal subgroups of the Monster
(with T. Popiel).
Journal of Computational Algebra, 11 (2024) 100021.
Talks & Seminars
Dec. 2025: βThe Saxl hypergraph of a permutation groupβ at the meeting of the AustMS[6], Latrobe Uni., Australia (Forthcoming)
Nov. 2025: βComputing the Character Table of a 2-local Maximal Subgroup of the Monsterβ at the Australian Algebra Conference[7], Latrobe Uni., Australia
Nov. 2024: βThe Maximal Subgroups of the Monster Groupβ at the Australian Algebra Conference[8], ANU, Australia
May 2024: Presented lecture on Burnside's πα΅πα΅ Theorem (Student Presentation) at Monash Uni., Australia
Feb. 2024: βComputational Constructions of Some Maximal Subgroups of the Monster Groupβ (Student Presentation) at Monash Uni., Australia
Other Activities
Nov. 2025: Marked Simon Marais mathematics competition[9] papers
Oct. 2021β4: Took part in Simon Marais mathematics competition[9] (Top 10% 2021β2, 2024; Top 20% 2023)
Jan. 2024: Participated in AMSI Summer School[10]
Links, Footnotes, and References
[1]: https://seis.bristol.ac.uk/~tb13602/docs/saxlgraph_final.pdf
[3]: https://www.monash.edu/science/schools/school-of-mathematics/honours/honours-awards-and-prizes
[5]: https://www.monash.edu/science/about/awards
[6]: https://austms2025.org.au
[8]: https://maths.anu.edu.au/news-events/events/8th-australian-algebra-conference