معرفی
Holly Carley is a Professor of Mathematics at the City University of New York (CUNY) within the School of Arts & Sciences Department of Mathematics. She holds a Ph.D. from the University of Virginia (2004), an M.S. (1999) and B.S. (1997) with honors from the University of Central Florida, advised by R.N. Mohapatra and X. Li. Her research spans mathematical physics, analysis, approximation theory, and copulas in probability and statistics.
- B.S. with honors: University of Central Florida
- M.S.: University of Central Florida
- Ph.D.: University of Virginia
Carley's research interests include mathematical physics, where she explores quantum systems and nonlinear effects, and approximation theory, focusing on inequalities and polynomial properties. She also investigates copulas for modeling multivariate dependencies in probability and statistics, with applications to extremal measures and graph-based constructions.
Her publications emphasize mathematical physics (e.g., Born-Infeld effects, harmonic oscillator limits), copulas (e.g., subcopula extensions, extremal measures), and pedagogical methods (e.g., matrix reduction techniques, continued fractions). Key trends involve interdisciplinary applications of analysis and geometry to physics and statistics.
- Grants:
- Senior Personnel – Minority Science and Engineering Improvement Program (MSEIP), 2015-2018
- PSC-CUNY Grants (2008-2013) on polarons, extremal doubly stochastic measures
- Books (OER):
- Co-author of PreCalculus (second edition) with Thomas Tradler
- Co-author of Arithmetic|Algebra with Bonanome et al.
