Skier and loop the loop with friction
Field: Classical Mechanics
Main points: Developed analytical solutions to the extension of two ‘classic’ problems in classical mechanics.
, A. Sokal (2022) Field: Atomic Physics
American Journal of Physics 90, 573. PDF
Alternative quantisation condition for wavepacket dynamics in a hyperbolic double well
Main points: Proposed a new analytical way of finding allowed energies in the class of hyperbolic-double well potentials by connecting it to a problem of finding roots of some polynomial. Applied this approach to understanding the role of non-adiabatic effects during enhanced ionization.
Field: Atomic Physics
, H. Chomet, C. Faria (2021) Field: Machine Learning
Journal of Physics A: Mathematical and Theoretical 54, 035304. PDF
Online Learning and matching for resource allocation problems
Main points: Devised, provided performance guarantees, and implemented algorithms integrating dual problems in convex optimization with a subclass of reinforcement learning techniques. Applied these algorithms to the traffic-shaping problem.
Field: Machine Learning
A. Boskovic, Q. Chen, , Z. Zhou (2019) Field: Computational Neuroscience
SIAM Undergraduate Research Online Journal vol. 13. PDF
Analytical modelling of temperature effects on AMPA-type synapse
Main Points: Used ODE-based modelling for understanding temperature effects on AMPA-type synapses in brain. Simplified the ODEs using some physically-motivated assumptions and shown how the obtained analytical solution faithfully reproduces the results of biological experiments.
Field: Computational Neuroscience
, G. Wojcik (2018)
Journal of Computational Neuroscience 44, 379-391. PDF