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About Me

My name is Guangyuan Liao. I am a PhD student in Applied Math. I am interested in mathematical modeling, dynamical systems, and coupled neural networks. I am currently working on model reduction techniques to understand the dynamics of coupled circadian oscillators with periodic forcing.

CV

Publications

  1. Guangyuan Liao, Casey Diekman, Amitabha Bose. Entrainment dynamics of forced hierarchical circadian systems. Dynamics Days, 2020. Poster.
  2. Guangyuan Liao, Casey Diekman, Amitabha Bose (2019). Entrainment dynamics of forced hierarchical circadian systems revealed by 2-dimensional maps. Submitted to SIADS. arXiv.
  3. Guangyuan Liao, Casey Diekman, Amitabha Bose (2019). Mathematical Models and Tools for understanding the Entrainment of Hierarchical Circadian Systems. Conference DS 19, Poster.
  4. Guangyuan Liao, Amitabha Bose. Maps for coupled hierarchichal kuromotor oscillators with discontiuous forcing, In progress.
  5. Guangyuan Liao. Hybrid phase model and poincare map to understand coupled limit cycle oscillators with strong couplings. In progress.

Teaching

Calculus I,II,III

Recitation leader, and grading.

Math 599

Lab instructor. The latex tuturial and assignment can be found here. Go here to get materials for the course.