I am a 5th year Mathematics P.hD student at Tulane University under the direction of Prof. Huy Tai Ha. My research interests lie in commutative algebra with applications to algebraic geometry.
Motivated by Chudnowsky's conjecture, my research focuses on computing/estimating the Resurgence, Asymptotic Resurgence, Waldschmidt constant of Homogeneous Ideals. In particular, I am interested in ideals defining low dimensional Schemes, Fiber product of Projective Schemes.
I am also interested in the stability index of Castelnuovo-Mumford Regularity, Fiber invariants (defined over Projective morphisms) of powers of Ideals.
I am a firm believer of and stand by Dr. Federico Ardila's axioms:
Mathematical talent is distributed equally among different groups, irrespective of geographic, demographic, and economic boundaries.
Everyone can have joyful, meaningful, and empowering mathematical experiences.
Mathematics is a powerful, malleable tool that can be shaped and used differently by various communities to serve their needs.
Every student deserves to be treated with dignity and respect.