Joaquin O. Carbonara, Ph.D.

EDUCATION

• Ph.D. in Mathematics, University of California, San Diego
• M.S. in Computer Science, University at Buffalo
• B.A. in Mathematics, San Diego State University

ABOUT 

Dr. Carbonara is fluent in English, Spanish, and Italian. His research focuses on Data Science, Artificial Intelligence, and applications of discrete computational mathematics. His current work includes:

• Developing tools to apply fractals and cellular automata to discrete dynamical systems
• Advancing fractal analysis as a parallel discipline to real and complex analysis
• Designing algorithms for processing 3D visual data

He has published 28 peer-reviewed papers spanning Data Science, Combinatorial Representation Theory, Fractals, Cellular Automata, Biomathematics, Ecology, and Geographic Information Systems.

Dr. Carbonara is also a dedicated educator. He has worked extensively with undergraduate and pre-college math students through the University at Buffalo’s Gifted Math Program, for which he received the 2005 Sliffe National Award for Distinguished Mathematics Teaching from the National Council of Teachers of Mathematics.

As Principal Investigator, he has led multiple NSF-funded projects, including:

• CSUMS: URGE to Compute (~$300K), a year-round undergraduate research program at Buffalo State/UB
• SMP: Professional Applied and Computational Mathematics (~$700K), supporting the development of Buffalo State’s graduate applied mathematics program

He played a key role in establishing the undergraduate and graduate applied mathematics programs at Buffalo State, emphasizing interdisciplinary applications, project management training, industry partnerships, and experiential learning.

Dr. Carbonara also served on the Board of Directors of the National Professional Science Master’s Association.