I'm a Ph.D. candidate in Western New York, originally from Istanbul. I identify as an interdisciplinary computational mathematician (also he/him) and my study utilizes complex networks, dynamical systems, computational neuroscience and topological data analysis. In particular, I'm interested in both theoretical model-driven analysis of nonlinear systems and data-driven study of natural phenomenon. Subsequently, I foresee my PhD thesis will help me bridge neuro-related applications and math-related inspiration between domains.
In my free time, I like exploring outdoors-- hopping around parks, backpacking, foraging mushrooms and trying to find a rock to boulder.Announcements:
Department of Mathematics
University at Buffalo, SUNY
244 Mathematics Building
Buffalo, NY, 14260-2900
Big data problems necessitate thinking of both imperfect and noisy nature of the real-world as well as complete and efficient nature of the theoretical study. In my work, I bridge two ends and think some data-related problems in the context of abstract simplicial complexes, hypergraphs and multilayer networks, of which we can compute particular properties, and try to develop the mathematical machinery in the interface of topological data analysis (TDA) and network-data analytics to tackle the problem.
So, as an inspired computational mathematician, my work falls under two complementary classes in which the former examines empirical data that is guided by the domain-expertise with neuroscience and the latter studies synthetic data generated by the neuron models and is guided by the bifurcation theory for dynamics:
One of the duties of my Ph.D. appointment is teaching/TAing the courses in the university. I have taught several key STEM courses in undergraduate math curriculum. Additionally, I worked with undergraduate students on selected topics in computational mathematics.University at Buffalo, SUNY
I write modular, well-documented code in Python. Here are some example libraries I developed.Neuronal Cascades