Education
Ph.D. in Mathematics
University of California, San Diego · 1992
M.S. in Computer Science
University at Buffalo · 2005
M.A. in Mathematics
San Diego State University · 1986
B.A. in Mathematics (Minor: Italian)
San Diego State University · 1983
Research Interests
Professional Experience
Professor, Buffalo State College (SUNY Buffalo State), Buffalo NY
September 2010 – Present
Associate Professor, Buffalo State College, Buffalo NY
September 1998 – August 2009
Visiting Professor, University of California, San Diego
January–June 2001 · July 2006 · July 2009
Assistant Professor, Buffalo State College, Buffalo NY
August 1992 – August 1998
Publications
Refereed Journal Articles
1
Kamal Nikhil Gokavarapu, Nidhish Abhijit Gore, Chirag Ohri, Joaquin Carbonara, Saquib Ahmed. Machine learning analysis of New York clean energy trends. Energy Economics, Volume 152, 2025, 109039. DOI
2
Carbonara, J., & Fokoue, E. (2025). Augmenting intelligence: The convergence of ML/LLMs and statistics. Stat, 14(1), e70043. DOI
3
Abdul Hamid Rumman, Miah Abdullah Sahriar, Md Tohidul Islam, Kazi Md Shorowordi, Joaquin Carbonara, Scott Broderick, Saquib Ahmed. Data-driven design for enhanced efficiency of Sn-based perovskite solar cells using machine learning. APL Machine Learning, 1(4): 046117, December 2023. DOI
4
Joseph Wikar, Nicholas White, Tyler Body, Michael Vullo, Leanna Tse, Sourav Biswas, Joaquin Carbonara, Saquib Ahmed. An Integrated Assessment of Next Generation PV Technologies. American Journal of Energy Engineering, 11(4), pp. 100–109, 2023. DOI
5
Abrar Rauf, Saugata Sarker, Md. Shafiqul Islam, et al., Joaquin Carbonara, Saquib Ahmed. Effect of bromide incorporation on the electronic & photovoltaic properties of Sn-based perovskite devices: A multiscale investigation utilizing first principles approach and numerical simulation, aided by machine learning models. Solar Energy, 253, pp. 375–388, 2023. DOI
6
Md. Shafiqul Islam, Md. Tohidul Islam, Saugata Sarker, et al., Joaquin Carbonara, Saquib Ahmed. Machine Learning Approach to Delineate the Impact of Material Properties on Solar Cell Device Physics. ACS Omega, 2022. DOI
7
Islam, M.T., Jani, M.R., Rahman, S., Shorowordi, K., Nishat, S., Hodges, D., Banerjee, S., Efstathiadis, H., Carbonara, J., Ahmed, S. Investigation of non-Pb all-perovskite 4-T mechanically stacked and 2-T monolithic tandem solar devices utilizing SCAPS simulation. SN Applied Sciences, 3, 504, 2021.
8
Md Shafiqul Islam, et al., Joaquin Carbonara, Saquib Ahmed. A Supervised Machine Learning Approach towards Accelerating the Development of High-performance non-Pb Perovskite Solar Devices. Computational Materials Science, 2021.
9
Hasan Al Jame, Saugata Sarker, Md. Shafiqul Islam, et al., Joaquin Carbonara, Saquib Ahmed. Supervised machine learning aided SCAPS-based quantitative analysis for the discovery of optimum bromine doping in methylammonium tin-based perovskite (MASnI₃₋ₓBrₓ). ACS Applied Materials & Interfaces, 14, pp. 502–516, 2021.
10
Md. Tohidul Islam, Md Rafsun Jani, Kazi Md. Shorowordi, et al., Joaquin Carbonara, Saquib Ahmed. Numerical simulation studies of Cs₃Bi₂I₉ perovskite solar device with optimal selection of electron and hole transport layers. Optik, 231, 166417, 2021. DOI
11
Ettestad, D. & Carbonara, J. Distinguishing Between Sierpinski Triangle Constructions. Fractals, 2019. DOI
12
Ettestad, D. & Carbonara, J. The Sierpinski Triangle Plane. Fractals, 26(1), 2018.
13
Ettestad, D. & Carbonara, J. Extending the Sierpinski property to all cases in the cups and stones counting problem by numbering the stones. Journal of Cellular Automata, 10(1–2), pp. 23–51, 2015.
14
Shojania-Feizabadi, M. & Carbonara, J. Two-compartment model interacting with proliferating regulatory factor. Applied Mathematics Letters, 23(1), pp. 30–33, January 2010.
15
Ettestad, D. & Carbonara, J.O. Formulas for the number of states of an interesting finite cellular automaton and a connection to Pascal's Triangle. Journal of Cellular Automata, 5(1/2), pp. 157–166, 2010.
16
Ettestad, D., Carbonara, J., Jansma, M., Rua, M., Sember, K. The Cups and Stones Counting Problem, the Sierpinski Gasket, Cellular Automata, Fractals and Pascal's Triangle. Journal of Cellular Automata, 6, pp. 421–437, 2011.
17
Potts, D., Scott, R., Bayram, S., Carbonara, J. Woody Plants Modulate The Temporal Dynamics of Soil Moisture in a Semi-Arid Mesquite Savanna. Ecohydrology, 2009. DOI
18
Tang, T., Shi, Z., Carbonara, J. & Wang, X. Feature Shape and Elevation Based Road Classification and Extraction on High Spatial Resolution Remote Sensing Imageries. Geoinformatics 2009 Proceedings, August 2009.
19
Carbonara, J.O. & Ettestad, D. Fractal Properties of the Matrix for the Cups and Stones Counting Problem. International Journal of Pure and Applied Mathematics, 29(1), pp. 81–106, 2006.
20
Carbonara, J.O., Carini, L. & Remmel, J. Trace Cocharacters and the Kronecker Products of Schur Functions. Journal of Algebra, 260, pp. 632–656, 2003.
21
Carbonara, J.O. & Green, A. Enumerative Questions on Weighted Rooted Necklaces. Advances in Applied Mathematics, 21, pp. 405–423, 1998.
22
Carbonara, J.O. A combinatorial interpretation for the inverse t-Kostka matrix. Discrete Mathematics, 193, pp. 117–145, 1998.
23
Carbonara, J.O., Remmel, J. & Yang, M. A Combinatorial Rule for the Schur Function Expansion of the Plethysm s(1a,b)[pk]. Linear and Multilinear Algebra, 39, pp. 341–373, 1995.
24
Carbonara, J.O., Remmel, J. & Kulikauskas, A. A combinatorial proof of the equivalence of the classical and combinatorial definitions of Schur functions. Journal of Combinatorial Theory, Series A, 72(2), November 1995.
Books & Book Chapters
B1
Carbonara, J. & Vernescu, B. (eds). Creating Tomorrow's Mathematics Professionals. Proceedings of the NPSMA Workshop, Niagara Falls, NY, October 11–13, 2011. COMAP, 2013.
B2
Carbonara, J.O. Entry (pp. 220–222) in Bibliographical Encyclopedia of Mathematicians. Donald R. Franceschetti, Editor. Marshall Cavendish Corp., New York. ISBN: 0-7614-7069-7. August 1998.
Grants & Awards
External grants where Dr. Carbonara served as PI or Co-PI (selected).
NSF SMP: Professional Applied and Computational Mathematics M.S. (Award NSF SMP 10-11166)
National Science Foundation · PI · 09/01/2010–09/31/2013
$697,039
NSF Collaborative Research: CSUMS: URGE to Compute (Award #0802964)
National Science Foundation · PI · Collaborative with University at Buffalo · 2008–2013
$300,549
NASA Education and Public Outreach Program
NASA · Co-I · 01/01/2010–12/31/2012
$270,355
Roswell Park Comprehensive Cancer Center
Roswell Park CCC · PI · 2022
$60,000
Glenn Bayley W Foundation
PI · December 2023
$50,000
Cummings Foundation
PI · May 2023
$40,000
SUNY Performance Improvement Fund — Professional Science Master's in Data Analytics (Project 52)
SUNY · PI · January 2018–December 2019
$160,000
SUNY High Needs Grant — SUNY PSM Office
SUNY · Director · 2015–2016
$40,000
NSF Co-PI: Creating Tomorrow's Professional Mathematicians Workshop (Award NSF 1148608)
National Science Foundation · Co-PI · Awarded 09/06/2011
$49,351
NSF RUI: Undergraduate Biomathematical Research Career Initiative (SUNY Geneseo)
National Science Foundation · Senior Faculty Participant · Summer 2008
$17,000
Group Discovery and Communication: A Computer Lab Approach (NSF ILI)
National Science Foundation · Co-PI (with Prof. D. Cunningham) · April 1993
$76,676
Service, Leadership & Presentations
Invited Presentations
- Keynote speaker: 2024 MAA Metro Section NYC, April 28, 2024
- Invited speaker: Thriving in the AI Era: Embracing Opportunities, Overcoming Challenges. BNMC, February 11, 2025
- Invited speaker: The Secret Life of Data: Mathematics in the Context of Data Science. Niagara University, October 20, 2023
- Invited speaker at panels, American Society for Engineering Education, 2024 and 2025
- Invited panel member: UpSTAT, RIT, Spring 2024
- Invited panel member: Canisius University, Summer 2024
Conference Organization
- Co-Chair: "Augmented Human Intelligence in the Age of AI," BSU, April 19, 2025
- Co-Chair: Buffalo CIO Panel, Buffalo State Alumni Center, April 3, 2019
- Co-Chair: Data Strategy and Governance, Buffalo State Alumni Center, November 2, 2018
- Chair: Data Analytics Across Disciplines, Niagara Falls Convention Center. 30 presentations, 110 attendees. May 18–19, 2016
- Co-Chair (with Dr. Reneta Barneva, Fredonia): Buffalo SAS Day, 70 attendees, Spring 2016
- Chair: National Professional Science Master's Association Annual Conference. Arlington, VA, November 2015
- Co-Chair: Opportunities in Data Sciences, Worcester, MA, May 28–29, 2013
Academic Leadership
- Chair, Interdisciplinary Unit in Data Science and Analytics (Interim Jan 2019–June 2019; Elected June 2019)
- Director, SUNY PSM Consortium (2015–2016; funded by $40,000 High Needs grant)
- Director, Professional Applied and Computational Mathematics Program, Buffalo State (2010–2014, 2017–2018)
- Finance Officer, Executive Committee Member, Board of Directors — National Professional Science Masters Association (2013, 2016)
- Quoted in Scientific American (November 2013) on the Professional Science Masters
Peer Review & External Evaluation
- Invited reviewer, National Human Genome Research Institute (NHGRI) grant, Fall 2024
- Invited reviewer, National Institute of Health grants, Fall 2024
- Invited reviewer, Springer Annals of Mathematics and Artificial Intelligence, 2022
- Invited reviewer, NSF–REU grants, Washington D.C., Fall 2013
- Invited reviewer, NSF–Algebra and Number Theory Program, 1995 and 1997
- External reviewer, Data Science and Applied Mathematics programs at multiple universities
Awards & Recognition
Visionary Educator Award 2025 — Infotech WNY BETAS
NCTM Sliffe Award for Distinguished Mathematics Teaching — National Council of Teachers of Mathematics, presented at national NCTM meeting, Spring 2006. (Awarded for contributions to the UB Gifted Math Program.)
Featured in Buffalo State Annual Report 2009–2010 — p. 10
Augmented Human Intelligence in the Age of AI Workshop Grant — BSU Grants Allocation Committee, $3,500, Fall 2024