Projects:

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Current interests:

• Interactive bots, morphogenesis (differentiable model), AI chess game, online learning ...

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Machine learning and numerical analysis:

• Modified VAE, GAN etc
  
• Applying NN for solving high dimensional PDE/SDE
• Project Gideon_basic

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Fluid mechanics:

• Dynamics and stability of electrolyte-laden liquid drops in electric fields (cusp/conical end formation, splashing, jelly-fish breakup etc)
• Multi-scale analysis on free surface problem (revisiting the strong/weakly conducting liquids beyond Taylor-Melcher model i.e. leaky-dielectric model)
• Electrophoresis (due to presence of another drop or symmetry breaking etc)
  
• Self-similarity solution on viscous (fluid-fluid) pinch-off for Stokes flow (boundary integral simulation and 1d model analysis)
• Tipstreaming and diffusiophoresis of surfactant-laden liquid drops
• Interaction of multiple liquid drops in suspension

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Biology:

• Tissue mechanics and Actin-myosin dynamics etc
• Cell intercalation

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Physics:

• Bose Einstein Condensate
  
• Soliton