PhD, University of California, San Diego in Mathematics
MS University at Buffalo in Computer Science
BA San Diego State University in Mathematics
ABOUT
Early cohort member of the well-known Simon Bolivar Symphonic Youth Orchestra, part of El Sistema, Venezuela, 1977 -1979.
He is fluent in English, Spanish and Italian. He has lived and studied in Venezuela, Italy and the US for extended periods of time.
Research interests include applications of discrete computational mathematics in academia
As such his current research program includes: (i) the development of tools to understand and apply fractals and cellular automata to discrete dynamical systems (ii) fractal analysis, as a discipline parallel to real or complex analysis (iii) development of algorithms to process 3D visual data.
He has 11 peer-reviewed publications in the areas of Combinatorial Representation Theory related to Schur Functions, Fractals and Cellular Automata, Biomathematics, Ecology, and Geographical Information Systems.
He has worked extensively with undergraduate and pre-college talented math students (as part of University at Buffalo’s Gifted Math Program). For his work with the GMP program at UB, he was awarded by the National Council of Teachers of Mathematics the 2005 Sliffe national Award for distinguished mathematics teaching in the middle school. Currently he is the Principal investigator of the NSF CSUMS:URGE to Compute (~$300K), a Buffalo State/UB intense year-round undergraduate research program.
He was instrumental in the development of the undergraduate and graduate applied mathematics programs at Buffalo State; these programs aim at creating an exciting and integrated learning environment that includes (i) applied interdisciplinary emphasis (ii) training math majors in Project Management and other valuable practical skills (iii) participation from local businesses in many aspects of the program, including advice on curriculum content and student internships and (iv) other activities to connect mathematics and the world outside academia. Currently, he is the Principal Investigator of the NSF grant SMP: Professional Applied and Computational Mathematics (~$700K) to support the development of Buffalo State’s graduate applied math program. Dr. Carbonara is also a member of the Board of Directors of the National Professional Science Masters Association.
