As a doctoral candidate in the Math PhD program at the CUNY Graduate Center, my recent successes are passing all three qualifying exams, the oral exam, the language exam, advancing to candidacy, and receiving a masters in philosophy from the GC. My thesis is in the field of Hyperbolic Geometry, determining completeness and parabolicity of classes of Riemann surfaces using their Fenchel-Nielsen coordinates. A joint paper with my adviser Dragomir Šarić is in preprint on arxiv.org. In addition to this, I have been an adjunct lecturer in the mathematics department at CUNY Queens College for the last 12+ years consecutively, and am teaching high school students at CUNY Baruch College. The plan is to acquire a post doctorate in order to become a research mathematician and a professor. In terms of results and goals, I am energetic, motivated, and determined to excel in all of my endeavors.
Quasiconformal Teichmuller Theory
CUNY Graduate Center, expect to obtain a PhD in mathematics in May of 2023.
CUNY Graduate Center, Masters in Philosophy - January, 2022
Queens College, Masters of Arts, Pure Mathematics - May, 2012
Queens College, Bachelors of Arts, Mathematics - May, 2010
Bronx High School of Science, Regents Diploma - May, 2004
“CLASSIFYING RIEMANN SURFACES AS PARABOLIC” is my thesis, with Professor Dragomir Šarić as my adviser, and Professor Ara Basmajian and Professor Sudeb Mitra also in my advising committee.
“Ergodicity of the geodesic flow on symmetric surfaces” is a joint paper with Professor Dragomir Šarić that is on arxiv.org at https://arxiv.org/abs/2211.16541. The paper was accepted for publication in Transactions of the American Mathematical Society.
Programming Languages: Python, Latex, C++, and HTML
Programmed precise models of the universal covers of fronts of half-twist tight flute surfaces, and parts of the fronts of zero and half-twist Loch-Ness monsters to study their completeness and parabolicity using Python programming in PyCharm. Also used Python programming to calculate values of shears and to draw horocyclic arcs.
Software: PyCharm, Illustrator, Microsoft Word, Dreamweaver, Gummi, Excel, PowerPoint, Mathematica