Ph.D. Candidate in Computer Science @ Stony Brook University &
Adjunct Assistant Professor in CS/Math @ St. John's University
I am a Ph.D. candidate at Stony Brook University working at the intersection of abstract algebra, and symbolic mathematics. My research reimagines foundational mathematical operations to simplify complex problems, particularly in geometric computation.
I am also an Adjunct Assistant Professor at St. John's University in the Division of Computer Science, Mathematics and Science.
Submitted to Mathematics Magazine
Abstract: We propose performing arithmetic directly on geometric objects (e.g., line segments, rectangles) rather than their numerical measures. This avoids indeterminate forms like 0/0 in calculus and aligns with polynomial ring structures in abstract algebra.
Contribution: Eliminates the need for limit processes in differentiation while preserving geometric object integrity.