Publications


* indicates undergraduate co-author


17. Harmonic maps from post-critically finite fractals to the circle, submitted. (with G. Medvedev)

16. Bounded confidence modeling predicts how group work affects student math anxiety, submitted. (with K. Toms*, M. Williams*)

15. Bifurcations and patterns in the Kuramoto model with inertia, Journal of Nonlinear Science 33 (2023). (with H. Chiba, G. Medvedev)

14. A global bifurcation organizing rhythmic activity in a coupled network, Chaos, 32 (2022). (with G. Medvedev, A. Phillips*)

13. Chimeras unfolded, Journal of Statistical Physics 186 (2022). (with G. Medvedev)

12. Instability of mixing in the Kuramoto model: from bifurcations to patterns, Pure and Applied Functional Analysis 7 (2022). (with H. Chiba, G. Medvedev)

11. Stability of twisted states on lattices of Kuramoto oscillators, Chaos 31 (2021). (with M. Goebel*, S. Stepanoff*)

10. Stability of clusters in the second–order Kuramoto model on random graphs, Journal of Statistical Physics 182 (2021). (with G. Medvedev)

9. Fluid-Structure Interaction for the Classroom: Speed, Accuracy, Convergence, and Jellyfish!, in preparation. (with N. Battista)

8. Dynamics of a cell motility model near the sharp interface limit, Journal of Theoretical Biology (2020). (with N. Bolle*)

7. Bifurcations in the Kuramoto model on graphs, Chaos 28 (2018). (with H. Chiba, G. Medvedev)

6. Uniqueness and traveling waves in an evolution equation for cell motility, Discrete & Continuous Dynamical Systems - B 24 (2018). (with P. Zhang)

5. Minimal model of crawling cell motility on patterned substrates , Physical Review E 96.5 (2017). (with L. Berlyand, I.S. Aronson)

4. On an evolution equation in a cell motility model, Physica D: Nonlinear Phenomena 318-319 (2016). (with L. Berlyand, V. Rybalko, L. Zhang)

3. Extension of a proof of the Ramanujan congruences for multipartitions, The Ramanujan Journal (2016). (with O. Lazarev, B. Reid, H. Swisher)

2. A periodic approach to plane partition congruences, Integers 16 (2016). (with J. A. Sellers, H. Swisher)

1. On groups with a class-preserving outer automorphism, Involve 7 (2) (2013). (with P. A. Brooksbank)

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