My current research area is in statistical genetics. I'm particularly interested in how interactions of functional categories in the genome contribute to the heritability of complex diseases and traits.
I am also a representation theorist. I am interested in the Real-Quaternionic indicator of irreducible self-conjugate representations of real reductive algebraic groups. I have discovered a relation between the Real-Quaternionic indicator and the Frobenius-Schur indicator. You can see the precise statement in my thesis, see the link on the left for papers/notes. I have also done research on the local Langlands correspondence of GL(2,F). Here is my Research Statement.
- "The Real-Quaternionic Indicator and its Relation with the Frobenius-Schur Indicator" at AMS special session at Hunter College, May 2017. Slides
- "Spectral Analysis on NBA data" at Spotlight Talks at UMD Slides
- "The Real-Quaternionic Indicator" at Algebra and Lie Groups seminar at Yale University, March 2016.
- "Strong Real Forms and Kac Classification" at Student Algebra and Number Theory Seminar at University of Maryland, November 2014.
- "Explicit Construction of the Local Langlands Correspondence of GL(2,F)" at Lie Groups and Representation Theory Seminar at University of Maryland, November 2013.