UCLA Mathematics Department

Office: MS 6147

Email: ahickok (at) math (dot) ucla (dot) edu

Bitbucket

I'm a fifth-year PhD student in the UCLA mathematics department. I'm advised by Mason Porter, and I'm currently supported by a UCLA Dissertation Year Fellowship. In my research, I focus primarily on topological and geometric data analysis, and I sometimes use tools from computational geometry as well. I also have an interest in network science, especially opinion dynamics and network geometry. Prior to UCLA, I was an undergraduate in the Princeton math department.

I'm currently on the job market for postdoc positions that start in fall 2023! Here is my CV.

Outside of math, I enjoy rock climbing, running, and playing and composing for piano.

- 5 January 2023- I'm co-organizing a special session on Applied Category Theory at JMM in Boston.
- 6 January 2023- I'm giving a talk at JMM in Boston.
- 10 January 2023- I'm giving a virtual talk in the Persistence, Sheaves, and Homotopy Theory Online Seminar
- 27 Feburary 2023- I'm giving a talk in the math seminar at Montana State University.
- 18-19 March 2023- I'm giving a talk at a special session on Topological Persistence: Theory, Algorithms, and Applications at the AMS Spring Southeastern Sectional Meeting at Georgia Tech.

- Computing Persistence Diagram Bundles.
A. Hickok.

Preprint, 2022. - Persistence Diagram Bundles: A Multidimensional Generalization of Vineyards.
A. Hickok.

Preprint, 2022. - Persistent Homology for Resource Coverage: A Case Study of Access to Polling Sites.
*A. Hickok, *B. Jarman, *M. Johnson, *J. Luo, M. A. Porter.

Preprint, 2022. - A Family of Density-Scaled Filtered Complexes.
A. Hickok.

Preprint, 2022. - Analysis of Spatial and Spatiotemporal Anomalies Using Persistent Homology: Case Studies with COVID-19 Data.
A. Hickok, D. Needell, M. A. Porter.

*SIAM Journal on Mathematics of Data Science*, 4(3):1116-1144, 2022. - Topological Data Analysis of Spatial Systems.
M. Feng, A. Hickok, M. A. Porter.

In F. Battiston and G. Petri (eds.)*Higher-Order Systems*, ch. 17, pp. 389–399. Springer, Cham, Switzerland, 2022. - A Bounded-Confidence Model of Opinion Dynamics on Hypergraphs.
A. Hickok, Y. Kureh, H. Z. Brooks, M. Feng, M. A. Porter.

*SIAM Journal on Applied Dynamical Systems*21(1):1-32, 2022. - Adaptive Spectral Solution Method for the Landau and Lenard-Balescu Equations.
C. R. Scullard, *A. Hickok, *J. O. Sotiris, *B. M. Tzolova, *R. L. Van Heyningen, F. R. Graziani.

*Journal of Computational Physics*402, 109110, 2020.

*Equal contribution

- Math 168: Introduction to Networks (Winter 2020, Spring 2020, Fall 2020)
- Math 31B: Integration and Infinite Series (Winter 2020, Spring 2020)
- Math 131AH: Honors Analysis (Fall 2019)
- Math 1: Precalculus (Fall 2019)

- Math 215: Honors Analysis (Spring 2018)
- Math 335: Complex Analysis (Fall 2017)