Research in Mathematics and Statistics
Fields of Expertise
The Department of Mathematics & Statistics features several tenured and tenure track faculty who are active across several sub-disciplines of the
mathematical sciences and involved in interdisciplinary work. However, our research areas are primarily divided into five main categories: Data Science & Statistics, Dynamical Systems and Differential Equations, Mathematics Modeling/Education, Numerical Analysis and Fluid Dynamics, and Pure Mathematics and Applied Analysis. In addition to these, faculty are actively working in the areas of Applied Physics, Atmospheric Science, Computational Science and Engineering, Fractional Calculus, Genetics and Genomics, Financial Mathematics, Image and Signal Processing, Information Assurance, Mathematical Biology, Neuroscience, Scholarship of Teaching and Learning, Toxicology and other areas.
Primary Research Areas for Tenured and Tenure Track Faculty and Selected Publications
Tamer Elbayoumi, Assistant Professor
Education: B.S. and M.S. Mansoura University; Ph.D., Western Michigan University
Office: 318 Merrick Hall
Office Phone: 336-285-3483
E-mail: tmelbayoumi@ncat.edu
Abeer Hasan, Associate Professor
Education: Ph.D, Bowling Green State University
E-mail: amhassan@ncat.edu
Seong-Tae Kim, Associate Professor
Education: B.A., Hanyang University; M.A., Korea University; M.S. and Ph.D., North Carolina State University
Office: 123B Hines Hall
Office Phone: 336-285-4758
E-mail: skim@ncat.edu
Binglin Li, Assistant Professor
Education: Ph.D., UC Davis; Ph.D., University of Georgia
E-mail: bli2@ncat.edu
Neda Mohammadi Jouzdani, Assistant Professor
E-mail: nmohammadi@ncat.edu
Sayed A. Mostafa, Associate Professor
Education: B.S., Cairo University; M.S. and Ph.D., Oklahoma State University.
Office: 3005 Smith Hall
Office Phone: 336-285-3104
E-mail: sabdelmegeed@ncat.edu
Nasser Sadeghkhani, Assistant Professor
E-mail: aasadeghkhani@ncat.edu
Selected Publications
- Tamer Elbayoumi, Hossein Sahour (2020). (Statistical Applications to Downscale GRACE‐ Derived Terrestrial Water Storage Data and to Fill Temporal Gaps). (533) 12, pp. 1-30 ). Remote Sensing.
- Seongtae Kim, Man Sik Park (2018). (A Study on Time-Series Clustering based on Dynamic Time Warping). (5) 20, pp. 2319-2332 ). Journal of the Korean Data Analysis Society.
- Ibrahim Ahmad, Sayed Mostafa (2019). (Kernel density estimation from complex surveys in the presence of complete auxiliary information). (3) 82, pp. 295-338 ). Metrika.
- Made, A.F., and Hasan, A., "Creating a More Equitable Computer Science Course through Peer-Mentoring." Journal of Computational Science in Colleges, 35:5, 2020.
- Marchand, É., & Sadeghkhani, A. (2018). On predictive density estimation with additional information.
- Hasan, A., Ning, W., & Gupta, A. K. (2014). An information-based approach to the change-point problem of the noncentral skew t distribution with applications to stock market data. Sequential Analysis, 33(4), 458-474.
- Gabriel Ackall, Connor Shrader, Seongtae Kim (2023). (A comparative study of penalized regression and machine learning algorithms in high dimensional scenarios). 16, pp. 190-210. SIAM Undergraduate Research Online.
- Tamer Elbayoumi, Sayed Mostafa (2023). (Impact of Bias Correction of the Least Squares Estimation on Bootstrap Confidence Intervals for Bifurcating Autoregressive Models). pp. 1-20. Journal of Data Science.
- Kokoszka, P., & Mohammadi Jouzdani, N. (2020). Frequency domain theory for functional time series: Variance decomposition and an invariance principle.
- Abdolnasser Sadeghkhani, Mohammad Arashi (2023). (On matrix variate density estimation problem). Journal of the Korean Statistical Society.
Mingxiang Chen, Professor and Mathematics (Applied Mathematics) Program Coordinator
Education: B.S. and M.S., Huazhong Normal University; Ph.D., Georgia Institute of Technology
Office: 234 Marteena Hall
Office Phone: 336-285-2070
E-mail: chen@ncat.edu
Dominic P. Clemence, Professor
Education: B.S., North Carolina A&T State University; M.S., Ph.D., Virginia Polytechnic Institute and State University
Office: 110 Marteena Hall
Office Phone: 336-285-2076
E-mail: clemence@ncat.edu
Alexandra Kurepa, Professor and Applied Mathematics Graduate Program Coordinator
Education: B.S. and M.S., University of Zagreb; Ph.D., University of North Texas
Office: 111 Marteena Hall
Office Phone: 336-285-2079
E-mail: kurepa@ncat.edu
Liping Liu, Associate Professor
Education: B.S., Huazhong University of Science and Technology; Ph.D, University of Alberta
Office: A431 General Classroom Building
Office Phone: 336-285-3519
E-mail: lliu@ncat.edu
Choongseok Park, Associate Professor
Education: B.S., Yonsei University; Ph.D., Ohio State University
Office: 123C Hines Hall
Office Phone: 336-285-4973
E-mail: cpark@ncat.edu
Selected Publications
- Mingxiang Chen, Dominic Clemence, Gregory Goins, Thomas Redd, Catherine White (2016). (Forming a Biomathematical Learning Alliance Across Traditional Academic Departments). In Carissa Davies, (6) 4, pp. 16-23 ). International Journal for Innovation Education and Research.
- Dominic Clemence, Kathy Cousins-Cooper, Seongtae Kim, Nicholas Luke, Thomas Redd (2019). (Math Emporium Instructional Course Design: Algebra Course Evolution at an HBCU). In Zakiya S. Wilson-Kennedy, Goldie S. Byrd, Eugene Kennedy, Henry T. Frierson , (Broadening Participation in STEM: Effective Methods, Practices, and Programs) 22, pp. 237-263 ).
- John Roop, Alexandra Kurepa, Kossi Edoh, (2018). (Instructional Selection of Active Learning and Traditional Courses Increases Student Achievement in College Mathematics). (7) 5, pp. 11-19 ). Journal of Education and Learning.
- Samuel Berkovic, Liping Liu, Michael Silk, Joshua Traynelis, Quanli Wang (2017). (Optimizing genomic medicine in epilepsy through a gene-customized approach to missense variant interpretation). 27, pp. 1715-1729 ). Genome Research.
- Sungwoo Ahn, Choongseok Park (2019). (Neural synchronization in Parkinson’s disease on different time-scales). In Cutsuridis V, (Handbook of Multi-scale Models of Brain Disorders : From Microscopic to Macroscopic Assessment of Brain Dynamics ) 13, ). Springer Series in Cognitive and Neural Systems, Springer, Cham.
-
Choongseok Park, Jonathan Rubin (2022). (Activity Patterns of a Two-Timescale Neuronal Ring Model with Voltage-Dependent, Piecewise Smooth Inhibitory Coupling). (3) 21, pp. 1952-1999. SIAM Journal on Applied Dynamical Systems.
Kathy M. Cousins-Cooper, Professor
Education: B.S., Virginia Polytechnic Institute and State University; M.S., North Carolina A&T State University; Ph.D., University of South Florida
Office: 201A Marteena Hall
Office Phone: 336-285-2074
E-mail: cousinsk@ncat.edu
Nicholas Luke, Professor and Student Success Coordinator
Education: B.S., North Carolina A&T State University; M.S. and Ph.D, North Carolina State University
Office: 107 Marteena Hall
Office Phone: 336-285-3520
E-mail: luke@ncat.edu
Thomas C. Redd, Associate Professor & Associate Chair
Education: B.S., Fort Valley State University; M.S., University of Oklahoma; M.S. and Ph.D., Brown University
Office: A441 General Classroom Building
Office Phone: 336-285-3530
E-mail: tcredd@ncat.edu
Guoqing Tang, Professor and Chair
Education: B.S., Anhui University; M.S., Nanjing University of Science and Technology; Ph.D., Rutgers University
Office: 102B Marteena Hall
Office Phone: 336-285-2089
E-mail: tang@ncat.edu
Paramanathan Varatharajah, Associate Professor
Education: B.S., University of Jaffna; M.S. and Ph.D., University of Arizona
Office: 228 Marteena Hall
Office Phone: 336-285-2091
E-mail: rajah@ncat.edu
Selected Publications
- Kathy Cousins-Cooper, Seongtae Kim, Nicholas Luke, Katrina Nelson (2017). (The Effect of the Math Emporium Instructional Method on Students' Performance in College Algebra). (1) 5, pp. 1-13 ). European Journal of Science and Mathematics Education.
- Kathy Cousins-Cooper, Nicholas Luke, Thomas Redd (2016). (Fundamentals of Algebra & Trigonometry Workbook). (3rd) ). Pearson.
-
Karen Yokley, Nicholas Luke (2020). (Lessons Learned from a Virtual Summer Undergraduate Research Program). (1) 4, Scholarship and Practice of Undergraduate Research.
-
Sayed Mostafa, Kathy Cousins-Cooper, Barbara Tankersley, Shea Burns, Guoqing Tang (2022). (The impact of COVID-19 induced emergency remote instruction on students’ academic performance at an HBCU). In Rong Zhu, Flinders University, AUSTRALIA, (3) 17, pp. 1-24. PLoS ONE.
-
Kathy Cousins-Cooper, Dominic Clemence, Thomas Redd, Nicholas Luke, Seongtae Kim (2019). (Math Emporium Instructional Course Design: Algebra Course Evolution at an HBCU). In Zakiya S. Wilson-Kennedy, Goldie S. Byrd, Eugene Kennedy, Henry T. Frierson , (Broadening Participation in STEM: Effective Methods, Practices, and Programs) 22, pp. 237-263.
- Crista Arangala, Nicholas Luke, Karen Yokley (2018). (Mathematical Modeling: Branching Beyond Calculus). pp. 304 ). CRC Press|Taylor & Francis Group
-
Tracey Howell, Heather Ortiz, Katherine Mawhinney, Katrina Palmer, Thomas Redd, Renee Barger, Michelle Soler (2024). (Prevailing Themes Across Corequisite Mathematics Courses: A Systematic Review). In Dr. Michael J. Bossé, Appalachian State University, USA Dr. Kathleen Lynch Davis, Texas A&M University Corpus Christi, USA Associate Professor John Francisco, University of Massachusetts, USA Dr. Vesife Hatisaru, Edith Cowan University, Australia Dr. Jodie Hunter, Massey University, New Zealand, (Vol.24 No. 2(2023): International Journal for Mathematics Teaching and Learning ) (2) 24, pp. 1-19. International Journal For Mathematics Teaching and Learning .
- Goldie Byrd, Guoqing Tang, Zakiya Wilson-Kennedy (2019). (Faculty Motivation for Scholarly Teaching and Innovative Classroom Practice—An Empirical Study). (Research and Practice in Chemistry Education) pp. 65-88 ). Springer Singapore.
Kossi D. Edoh, Professor
Education: B.S., University of Cape Coast; M.S. and Ph.D., Simon Fraser University
Office: 110 Marteena Hall
Office Phone: 336-285-2073
E-mail: kdedoh@ncat.edu
Yevgeniy A. Rastigejev, Professor
Education: M.S., Moscow Institute of Physics and Technology; M.S. and Ph.D., University of Notre Dame
Office: 308 Gibbs Hall
Office Phone: 336-285-2223
E-mail: yarastig@ncat.edu
John P. Roop, Associate Professor
Education: B.S., Roanoke College; M.S. and Ph.D., Clemson University
Office: 233A Marteena Hall
Office Phone: 336-285-2086
E-mail: jproop@ncat.edu
Ling Xu, Assistant Professor
Education: B.S., Xiamen University; MS and Ph.D., University of New Mexico
Office: 318 Merrick Hall
Office Phone: 336-285-3484
E-mail: lxu@ncat.edu
Selected Publications
- Kossi Edoh (2014). (Modeling cicada sound production and propagation). (4) 22, pp. 617-630 ). Journal of Biological Systems.
- Anton Pylypenko, Yevgenii Rastigejev, Abolghasem Shahbazi, Lijun Wang (2017). (Experimental and Numerical Sudy of Cold Gas-solid Hydrodynamics in a Fluidized Bed Gasifier). (PowerEnergy2017-3263) pp. 10 ). ASME paper .
- Vincent Ervin, Norbert Heuer, John Roop (2018). (Regularity of the Solution to 1-D Fractional Order Diffusion Equations). 87, pp. 2273-2294 ). Mathematics of Computation.
- John P. Roop (2024). (A Randomized Neural Network Based Petrov-Galerkin Method for Approximating the Solution of Fractional Order Boundary Values Problems, accepted). Results in Applied Mathematics.
- Ling Xu (2019), Numerical study of the material transport in the viscous vortex dipole flow, Physics of Fluids, 31: 053602.
- Xu, L., & Krasny, R. (2023). Dynamics of elliptical vortices with continuous profiles. Physical Review Fluids, 8(2), 024702.
Shea D. Burns, Associate Professor
Education: B.S., North Carolina A&T State University; M.S., Ph.D., Howard University
Office: 128 Marteena Hall
Office Phone: 336-285-2069
E-mail: sburns@ncat.edu
Zachary Denton, Associate Professor
Education: B.S., Middle Tennessee State University; M.S. and Ph.D., University of Louisiana at Lafayette
Office: 123A Hines Hall
Office Phone: 336-285-4756
E-mail: zdenton@ncat.edu
Gregory Gibson, Associate Professor
Education: B.A., State University of New York/College at Geneseo; M.S. and Ph.D., North Carolina State University
Office: 208 Marteena Hall
Office Phone: 336-285-2078
E-mail: gagibson@ncat.edu
Safeer Khan, Associate Professor
Education: Ph.D., Tokyo Institute of Technology
E-mail: shkhan@ncat.edu
Barbara Tankersley, Associate Professor and Retention & Advisement Coordinator
Education: B.S., Paine College; M.S., North Carolina A&T State University; M.S. and Ph.D., Howard University
Office: 105 Marteena Hall
Office Phone: 336-285-2090
E-mail: tankers@ncat.edu
John Paul Ward, Associate Professor
Education: B.S., University of Georgia; Ph.D., Texas A&M University
Research Areas: Applied Harmonic Analysis, Signal and Imaging Processing
Office: 323 Hines Hall
Office Phone: 336-285-2093
E-mail: jpward@ncat.edu
Selected Publications
- Lance Bryant, Shea Burns, Jason Callahan (2016). (Invariants of Knots and Links). (Knots, Molecules, and the Universe: An Introduction to Topology) pp. 239-263 ). American Mathematical Society.
- Zachary Denton, Juan Ramirez (2018). (Monotone Method for Finite Systems of Nonlinear Riemann-Liouville Fractional Integro-Differential Equations). (2) 18, pp. 130-143 ). Nonlinear Dynamics and Systems Theory.
- Belinda Clemence-Mkhope, D Clemence-Mkhope, Kathy Cousins-Cooper, Seong-Tae Kim, Janis Oldham, Barbara Tankersley, Paramanathan Varatharajah (2019). (SCALE-UP Instructional Redesign of a Calculus Course at an HBCU). (1) 7, pp. 31-44 ). International Journal for Innovation Education and Research.
- Arash Amini, Julien Fageot, Zsuzsanna Puspoki, Michael Unser, John Paul Ward (2019). (Angular Accuracy of Steerable Feature Detectors). (1) 12, pp. 344-371 ). SIAM Journal on Imaging Sciences .
- Okeke, G. A., Khan, S. H., & Kim, J. K. (2021). FIXED POINT THEOREMS IN COMPLEX VALUED CONVEX METRIC SPACES. Nonlinear Functional Analysis and Applications, 26(1), 117-135
-
Ackerman, A., Martin, B., Tanisha, M., Edoh, K., & Ward, J. P. (2023). High-Dimensional Contact Network Epidemiology. Epidemiologia, 4(3), 286-297.
-
Dominic Clemence, Gregory Gibson (2022). (Taming Hyperchaos with Exact Spectral Derivative Discretization Finite Difference Discretization of a Conformable Fractional Derivative Financial System with Market Confidence and Ethics Risk). In Paweł Olejnik, (1) 27, pp. 29. Mathematical and Computational Applications/MDPI.
-
Dominic Clemence, Zachary Denton (2023). (The Limited Validity of the Fractional Euler Finite Difference Method and an Alternative Definition of the Caputo Fractional Derivative to Justify Modification of the Method). 3, pp. 831-841. WSEAS Transactions of Mathematics.
Undergraduate Research Opportunities
- NSA Research Experiences for Undergraduates (REU) in Data Science
- NSF Research Experiences for Undergraduates (REU) in Data Science
- NSF Research Experiences for Undergraduates (REU) in Mathematical Biology