Adam Martens
Ph.D. Candidate
Department of Mathematics
University of British Columbia
1984 Mathematics Road
Vancouver, B.C.
Canada V6T 1Z2
| Office: | MATH 124 |
| E-mail: | martens@math.ubc.ca |
About
I am starting a teaching postdoc at UBC, starting on July 1st 2025. My PhD thesis was on Hamilton's Ricci Flow.
I have had my entire post-secondary education from UBC, wherein I have obtained BSc (2019), MSc (2021), and PhD (2025).
A somewhat up-to-date photo of my daughters (they're extraordinarily cute!).
Teaching
I always welcome correspondence from past, present or future students. You may be interested in my teaching philosophy, or in a list of courses for which I have been a TA.
| 2024 | Fall: | MATH 100 (Differential Calculus) Section 1B2 |
| 2024 | Spring: | MATH 101 (Integral Calculus) Sections C17, C22, C32 |
| 2023 | Fall: | MATH 100 (Differential Calculus) Sections A16, A23, A33, A48 |
| 2021 | Fall: | MATH 102 (Differential Calculus with Applications to Life Sciences) Section 105 |
Papers
- Removing scalar curvature assumption for Ricci flow smoothing. Bull. London Math. Soc.. DOI arXiv
- Sharpening a gap theorem: nonnegative Ricci and small curvature concentration. Calc. Var. Volume 64, article number 79 (2025) arXiv
- Long-time Ricci flow existence and topological rigidity from manifolds with pinched scale-invariant integral curvature (with Albert Chau). arXiv
- Pseudolocality and completeness for nonnegative Ricci curvature limits of 3D singular Ricci flows (with Albert Chau). Math. Z. 307 (2024), no. 4, Paper No. 63. arXiv
- Bartnik mass of non-negatively curved CMC spheres and Degenerate Apparent Horizons (with Albert Chau). To appear in Proceedings of the American Mathematical Society. (2022) arXiv
- Goormaghtigh's Equation : Small Paramaters (with Michael Bennett and Ben Garbuz). Publ. Math. Debrecen 96 (2020), no. 1-2, 91-110.