I am broadly interested in the power of parameterization
in the context of algorithm design
. In particular, I like understanding the mathematical structure of parameterized input instances, and how they can be exploited in the search for faster algorithms. Examples include, but are not limited to:
- Parameterized algorithms: fast, polynomial-time algorithms for difficult problems under the promise that a certain parameter in the input instance is small. This includes fixed-parameter tractable (FPT) algorithms and approximation algorithms under a parameterized setting.
- Algorithmic graph theory: graph algorithms on parameterized graph families, e.g., bounded genus, bounded treewidth, or excluded minor graphs.
- Distributed algorithms: fast distributed algorithms that depend on extra parameters of the network graph, such as the diameter or the maximum degree.
On the mathematics side, my main interests are probabilistic and extremal combinatorics, and structural graph theory.
I am a third-year PhD student in the School of Computer Science at Carnegie Mellon University and am part of the Algorithms and Combinatorial Optimization (ACO) group
. I am fortunate to be co-advised by Prof. Anupam Gupta
and Prof. Bernhard Haeupler
. I also obtained my bachelor's degree at CMU's School of Computer Science, with a double major in math.