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Publications/preprints

* indicates undergraduate co-author

  1. Harmonic maps from post-critically finite fractals to the circle submitted . (with Georgi Medvedev)
  2. Bounded confidence modelling predicts the effect of group work on student math anxiety submitted . (with Katherine Toms*, Maya Williams*)
  3. Bifurcations and patterns in the Kuramoto model with inertia, Journal of Nonlinear Science, 33 (2023). (with Hayato Chiba, Georgi Medvedev)
  4. A global bifurcation organizing rhythmic activity in a coupled network, Chaos, 32 (2022). (with Georgi Medvedev, Andrew Phillips*)
  5. Chimeras unfolded, Journal of Statistical Physics, 186 46 (2022). (with Georgi Medvedev)
  6. Instability of mixing in the Kuramoto model: from bifurcations to patterns, Pure and Applied Functional Analysis, (2022). (with Hayato Chiba, Georgi Medvedev)
  7. Stability of twisted states on lattices of Kuramoto oscillators, Chaos, 31 (2021) 103106. (with Monica Goebel*, Sofia Stepanoff*)
  8. Stability of clusters in the second–order Kuramoto model on random graphs, Journal of Statistical Physics, 182 2 (2021). (with Georgi Medvedev)
  9. Dynamics of a cell motility model near the sharp interface limit, Journal of Theoretical Biology, (2020). (with Nicolas Bolle*)
  10. Fluid-Structure Interaction for the Classroom: Speed, Accuracy, Convergence, and Jellyfish!, (submitted). (with Nicholas A. Battista)
  11. Bifurcations in the Kuramoto model on graphs, Chaos, 28 (2018) 073109. (with Hayato Chiba, Georgi Medvedev)
  12. Uniqueness and traveling waves in a cell motility model, Discrete and Continuous Dynamical Systems – B, 22 (2018). (with Peng Zhang)
  13. Minimal model of crawling cell motility on patterned substrates, Phys. Rev. E 96 (2017) 052408. (with Leonid Berlyand, Igor S. Aranson)
  14. On an evolution equation in a cell motility model, Physica D: Nonlinear Phenomena, 318-319 (2016) 12- 25 (with Leonid Berlyand, Volodymyr Rybalko, Lei Zhang)
  15. Extension of a proof of the Ramanujan congruences for multipartitions, Ramanujan Journal, (2016). doi:10.1007/s11139-016-9817-x (with Oleg Lazarev, Ben Reid, Holly Swisher)
  16. A periodic approach to plane partition congruences, Integers, 16 (2016) (with James A. Sellers, Holly Swisher)
  17. On groups with a class-preserving outer automorphism, Involve, 7(2) (2013) 171-179. (with Peter A. Brooksbank)


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