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'm a Ph.D. candidate at UBC under the supervision of Professor Albert Chau. I have had my entire post-secondary education from UBC, wherein I have obtained BSc (2019) and MSc (2021).
My current research is primarily focused on Hamilton's Ricci Flow, though I remain interested in other aspects of geometric analysis as well as mathematical general relativity.
The differential geometry group at UBC organizes a weakly learning seminar. For more information on how to participate, as well as upcoming schedule and past recordings, see here.
A somewhat up-to-date photo of my daughters (they're extraordinarily cute!).
Teaching
I always welcome correspondence from past, present or future students.
| Teaching: | MATH 101 Sections C17, C22, C32 (2023WT2): Integral Calculus |
| MATH 100 Sections A16, A23, A33, A48 (2023WT1): Differential Calculus | |
| MATH 102 Section 105 (2021WT1): Differential Calculus with Applications to Life Sciences | |
| TA: | MATH 321 Real Variables II (2022WT2, 2021WT2, 2020WT2, 2019WT2) |
| MATH 420 Measure Theory (2022WT1) | |
| MATH 320 Real Variables I (2020WT1) | |
| MATH 344 Game Theory (2019WT1) | |
| MATH 121 Honours Integral Calculus (2018WT1) | |
| MATH 120 Honours Differential Calculus (2018WT1) | |
| MATH 105 Integral Calculus with Applications to Commerce (2017WT2) | |
| MATH 226 Advanced Calculus I (2017WT1) |
Papers
- Long-time Ricci flow existence and topological rigidity from manifolds with pinched scale-invariant integral curvature (with Albert Chau). arXiv posting (2024). Site.
- Pseudolocality and completeness for nonnegative Ricci curvature limits of 3D singular Ricci flows (with Albert Chau). arXiv posting (2023). Site.
- 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). Site.
- Goormaghtigh's Equation : Small Paramaters (with Michael Bennett and Ben Garbuz). ResearchGate. (2020) Site. PDF.