Teaching

Teaching history

2025 Semester 1
Measure Theory

MAST90012

2024
General Relativity

AMSI Summer School

2023 Semester 2
Partial Differential Equations

MAST90133

2023 Semester 2
Calculus 2: Advanced

MAST10021

2022 Semester 2
Differential Geometry

MAST90143

2022 Semester 2
Calculus 2: Advanced

MAST10021

2021 Semester 2
Partial Differential Equations

MAST90133

2021 Semester 2
Calculus 2: Advanced

MAST10021

2020 Semester 2
Calculus 2: Advanced

MAST10021

2019 Semester 1
Measure Theory

MAST90012

PhD Students

MSc Students
2025
Chuyi Kong

PhD

2026 2022
Louie Bernhardt

PhD

2026 2025
Oliver Kalicin

MSc

2025 2024
Jiawen Wang

MSc

2023 2022
Daniel Traicos

MSc

  • Thesis title: “Global Solutions of Semilinear Wave Equations Satisfying the Null Condition”

2022 2021
Sean Wynn

MSc

  • Thesis title: “On the non-relativistic limit of crystalline solids in a fully geometric theory of continuum mechanics”

2020 2019
Caelan Turvey

MSc

  • Thesis title: “The wave equation on neutron star spacetimes”

2020 2019
Madeleine Johnson

MSc

  • Thesis title: “On the notion of global hyperbolicity in Lorentzian geometry”

Undergraduate Courses

Calculus 2: Advanced (MAST10021)

This course is offered annually for first year students in Semester 2.
I have developed it in the years from 2020 to 2023.

FAQ about this course:

  1. What is the difference between Calculus 2: Advanced and Calculus 2?
    I would say, while the topics covered in this course are broadly the same as in MAST10006 Calculus 2, the material is more “advanced” in the sense that you will see more proofs and concepts, and fewer examples with “ad hoc” solutions. Here we aim to strike a balance between the theoretical underpinnings of Calculus and its practical applications, which also prepares you to take other classes is mathematics & physics.
  2. What is the difference between Calculus 2: Advanced and Accelerated Mathematics 2?
    In comparison to Calculus 2 the course Accelerated Mathematics 2 proceeds quicker, but not at a deeper level. The idea of the new courses in the Advanced stream is to offer solid entry courses in mathematics, where the foundations of these subjects are developed with more care, and more emphasis on the underlying proofs is given, both in the presentation of the material, and the skills acquired by the student.
  3. How do I enroll?
    Please contact ms-mslc-approvals@ms.unimelb.edu.au for all questions related to enrollment.
  4. Is there a book you recommend?
    I like Spivak‘s “Calculus” which gives a beautiful introduction to Calculus at the intended level for this course. In fact, large parts of this course are based on Spivak‘s text. I also recommend Folland‘s “Advanced Calculus”.