Broadly speaking, my research interest lie at the boarder between physics, applied math and computational neuroscience. I am intrigued by by collective behavior and emergent phenomena in nonlinear systems involving spatial-temporal orderings.
My current research focus on temporal patterning and symmetries in coupled ordinary differential equations such as neuronal networks and phase oscillators. In particular, I apply techniques in dynamical systems and group theory to uncover the universal (model-independent) features and to achieve dimensional reductions in nonlinear oscillator systems. Please see subsections for more detail.
I also studied more "conventional" condensed matter systems, i.e., ultracold atomic gases and lattice models, exploring novel quantum phases of matter such as superfluidity, superconductivity and topological insulators.