Research in Mathematics

Faculty in the PVAMU Department of Mathematics engage in research in a number of different fields, such as in queueing theory, statistics, mathematical modeling, mathematical education, and image processing. This research has also lead to interdisciplinary work with other departments, such as agriculture, engineering, and education.

By staying active in research and engaging with colleagues in different mathematical fields as well as different academic disciplines, the faculty of the Department of Mathematics ensure that they stay active and current in their respective fields, but they also maintain active outlets of collaboration that enrich both mathematics and other academic disciplines.

One important aspect of this research is the chance to engage students in this work. While mathematics research is important in its own right, it is also important for students to become involved in this research, as preparation for the professional workforce, for further academic studies toward a master’s degree or a Ph.D., as well as for richer learning within a topic that they find particularly interesting. Student engagement and learning is enhanced when students are engaged in hands-on research, and the mathematics faculty at PVAMU actively seek out students to participate in research.

  • Aspiring and Inspiring: Tenure and Leadership in Academic Mathematics.  American Mathematical Society. Softcover ISBN: 978-1-4704-7176-7. Editors: Rebecca Garcia, Pamela Harris, Dandrielle Lewis, and Shanise Walker.
  • Haghighi, A., Kumar, A., and Mishev, D. Higher Mathematics for Science and Engineering. Springer, January 2024 ISBN/ GTIN 978-981-9954-30-8.
  • Haghighi, A., and Mishev, A. A Transient M[x]/M(k,k)/1 Queue with Reneging and Setup Time for Service. International Journal of Mathematics in Operational Research (IJMOR). To appear 2024.
  • Haghighi, A., and Mishev, A. Tandem Time-dependent BMAP with Batch and Possible Breakdown Service. YUJOR – Yugoslav Journal of Operations Research. Submitted October 2023.
  • P. W. Ng and Robin, T. “Projections and Proper Infiniteness for Corona Algebras”, Operators and Matrices, Volume 17, Number 3, September 2023.
  • Wickramasinghe, I., and Aragon, R. “Machine Learning Approach to Predict Basic Literacy Skills of Elementary School Students,” 2023 International Conference on Electrical, Computer and Energy Technologies (ICECET), Cape Town, South Africa, 2023, pp. 1-6, doi: 10.1109/ICECET58911.2023.10389241.
  • Darafsheh, M., and Misaghian, M. “On Simply Reducible Groups” International Journal of Algebra., Vol. 17, 2023, no. 4, 205 – 213.
  • Haghighi, A., Perkins, J., and Mishev, D. Time-Dependent Conveyor Transportation in Tandem with Parallel Multi-Servers, as well as Batch Service with Various Sizes, working paper.
  • Wickramasinghe, I., &  Kalutarage, H. (2020). Naive Bayes: applications, variations and vulnerabilities: a review of literature with code snippets for implementation. Soft Computinghttps://doi.org/10.1007/s00500-020-05297-6
  • Dr. Aliakbar M. Haghighi received RISE Undergraduate Research grant for the 2023-2024 academic year. The undergraduate student researcher was Kamron Wright.
  • Dr. Shannon Solis received Rise Undergraduate Research Assistant for the 2023-2024 academic year. The undergraduate student researcher was Trenton Jeffers who majors in Mathematics.
  • Ladasia Rhone and Dr. Indika Wickramasinghe. Use of Machine Learning Techniques to Predict Lung Cancer Patients, Leadership Alliance National Symposium, Connecticut Convention Center, Hartford, CT, July 28-30, 2023.

Student Publications

  • Lemons, K. (2020). A comparison between Naïve Bayes and random forest to predict breast cancer. International Journal of Undergraduate Research and Creative Activities12(1), 1–5. http://doi.org/10.7710/2168-0620.0287
  • Dr. Indika Wickramasinghe: Teaching Probability and Statistics using Project-Based Learning (PBL). Canada International Conference on Education (CICE‐2024). Toronto, Canada, on July 23, 2024.
  • Dr. Shannon Solis – Presenting on Math and Technology with AI at TABPHE State Conference 2024.
  • Dr. Saroj Pradhan: Human Respiratory Control System Model During Sleep at Altitude with Two Control Loops and Multiple Transport Delays. Third International Conference on Applications of Mathematics to Nonlinear Sciences (AMNS-2023), Pokhara, Nepal May 25-28, 2023. 
  • Dr. Aliakbar M. Haghighi: The Guest of Honor, Speaker. International Conference on Advances in Pure and Applied Mathematics (ICAPAM 2023)” Ganpat. University, India. https://iser.org.in/conf/index.php?id=2035240.
  • Dr. Aliakbar M. Haghighi: Presented published book: Probability, Statistics, Stochastic Processes for Engineers and Scientists. PV Published Author Series. This review features authors from the Marvin D. & June Samuel. Brailsford College of Arts & Sciences. https://www.youtube.com/watch?v=FMED7pzcKo0.
  • Dr. Indika Wickramasinghe-Presented, “Machine Learning Approach to Predict Basic Literacy Skills of Elementary School Students”, International Conference on Electrical, Computer and Energy Technologies (ICECET 2023), Cape Town-South Africa, 16-17 November 2023.
  • Elizabeth Stoerkel – Presented “Teaching to Make It Stick – From a One-Size-Fits-All Approach to a Discipline Specific Framework” with Dr. A. Kumar in the College of Engineering who presented it at the 30th Annual HBCU Faculty Development Network Conference, October 2023 in Houston, TX.
  • Dr. Indika Wickramasinghe. Early Identification of Students at Risk in College Level Statistics Course: A Bagging Approach. PVAMU Department of Mathematics Colloquial. Oct 27, 2023.
  • Dr. Manouchehr Misaghian. Characters of the Additive Group of a Local p-Field. PVAMU Department of Mathematics Colloquial. Sept 28, 2023.
  • Dr. Shannon Solis. MDAnderson grant. Cancer Center for FEB 2024 Conference.
  • Dr. Shannon Solis. HEB grant for TABPHE State Board Conference 2024 in February.
  • Dr. Indika Wickramasinghe, (PI). (2020). Faculty-Research & Innovation for Scholarly Excellence (RISE)-Undergraduate Research, Prairie View A&M University.
  • Dr. Indika Wickramasinghe. (PI). (2020). Impact of the Scaling Technique in Machine Learning on the Accuracy of Breast Cancer Prediction, Burroughs Wellcome Fund (2020). 

Resources