DEPARTMENT OF MATHEMATICS
HAMPTON UNIVERSITY
HAMPTON, VA 23668

1. Alsadig Ali

• Office location: Science and Technology Building 314B
• Phone number: 757-728-6532
• Email Address: ali@hamptonu.edu
• Biography
• Position: Assistant Professor of Mathematics
• Educational background

B.Sc. in Mathematics. Al Neelain University, Sudan.

M.Sc in Mathematics. The University of Khartoum, Sudan.

M.Sc. in Mathematical Sciences. African Institute for Mathematical Sciences (AIMS), Senegal.

Graduate Certificate in Data Science. The University of Texas at Dallas.

Ph.D in Applied Mathematics. The University of Texas at Dallas.

• Research interests: My research focuses on the intersection of Data Science and Computational Mathematics, with emphasis on Bayesian Statistics, Uncertainty Quantification, and High-Performance Computing (HPC). I develop scalable computational and statistical methods to solve inverse problems related to flows in porous media, including subsurface characterization, contaminant transport, and energy applications. I am also interested in leveraging data analytics and machine learning techniques to enhance modeling, simulation, and decision making in large scale scientific computing.
• Selected publications

1. Ali A, Al-Mamun A, Pereira F, Rahunanthan A. Multiscale Sampling for the Inverse Modeling of Partial Differential Equations. Journal of Computational Physics. 2024 Jan 15;497:112609.
2. Mamun AA, Ali A, Al-Mamun A, Pereira F, Rahunanthan A. The Multiscale Maximum Change Algorithm for Subsurface Characterization. International Conference on Computational Science and Its Applications. Springer Nature Switzerland, 2023.
3. Ali A, Al-Mamun A, Pereira F, Rahunanthan A. Conditioning by Projection for the Sampling from Prior Gaussian Distributions. Computational Science and Its Applications–ICCSA 2021: Springer International Publishing, 2021.
4. Ali A, Al-Mamun A, Pereira F, Rahunanthan A. Markov Chain Monte Carlo Methods for Fluid Flow Forecasting in the Subsurface. Computational Science–ICCS 2020. Springer International Publishing, 2020.
5. Ali A, Mankad H, Pereira F, Sousa FS. The Multiscale Perturbation Method for Second Order Elliptic Equations. Applied Mathematics and Computation 387 (2020): 125023.

2. Halima Ali

• Office location: 
• Phone number:
• Email Address:
• Biography
• Position
• Educational background
• Research interests
• Selected publications

3. Meaza Bogale

• Office location: Science & Tech 314C
• Phone number: 728.6840
• Email Address: negash@hamptonu.edu
• Biography:
• Position: Assistant Professor of Mathematics
• Educational background:

B.Ed in mathematics, Jimma University, Ethiopia.

M.Sc. in mathematics, Addis Ababa University, Ethiopia.

Pre-Ph.D.(Postgraduate) diploma, The Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy.

Ph.D. in mathematics, Auburn University, Auburn, AL, USA.

• Research interests: Research Interests
  Meaza Bogale’s research focuses on matrix analysis, multilinear algebra, and their applications to Lie groups and Lie algebras. Her work also explores topics in functional analysis and fixed point theory, emphasizing the development of analytical methods that advance both theoretical and applied mathematics. Her recent research includes the formulation of generalized contraction principles, co-cyclic mappings, and altering distance functions to establish existence and uniqueness theorems for nonlinear operators in metric, b-metric, cone metric, and partial metric spaces.

• Selected publications:

1. Woldegiorgis, M., Bogale, M. F., Negash, A. G., & Hussein, S., “A Point of Coincidence and Common Fixed Point Theorem for Expansive Type Mappings in B-Metric Spaces,” Fixed Point Methods and Optimization. (Accepted on 07/07/2025)
2. Negash, A., & Bogale, M., “A Common Fixed Point Result for Generalized Cyclic Contraction Pairs Involving Altering Distance and Control Functions in Partial Metric Spaces,” Advances in Pure Mathematics, 15(7), 491–504, (2025). https://doi.org/10.4236/apm.2025.157024
3. Negash, A. G., Ayalew, A., & Bogale, M. F., “A Common Fixed Point Theorem for Generalized Contraction Pair of Self-Maps in B-Metric Spaces,” Parana Journal of Science and Education, 11(4), 25–32, (2025). https://zenodo.org/records/16477732
4. Meaza Bogale, Alemayehu Negash, Extending Mohanta Biswas Type Fixed Point Result Using Altering Distance Functions. Open Access Library Journal, 12, 1-15, August 14, (2025). https://doi.org/10.4236/oalib.1113882.
5. Negash, A., & Bogale, M., Common Fixed Points via Rational-Contractive Conditions in Orbitally Complete Metric Spaces. arXiv preprint arXiv:2509.06960. https://arxiv.org/abs/2509.06960
6. Babu, G. V. R., Negash, A., & Bogale, M., Common Fixed Points for Weakly Compatible Mappings via Bivariate Auxiliary Functions. arXiv e-prints, arXiv:2508.08260. https://arxiv.org/abs/2508.08260
7. Babu, G. V. R., Negash, A. G., & Bogale, M. F., Common Fixed Points of Cq-Commuting Maps via Generalized Gregus-Type Inequalities. arXiv preprint arXiv:2507.02881. https://arxiv.org/abs/2507.02881
8. Negash, A., & Bogale, M., Weakly Compatible Mappings and Common Fixed Points Under Generalized Contractive Conditions. arXiv preprint arXiv:2507.00035. https://arxiv.org/abs/2507.00035
9. Valerio Palamara, Bryson Neal, Lanre Akinyemi, Francis Erebholo, Meaza Bogale, Shallow-water waves through two new generalized multi-dimensional variable coefficient equations, Physics of Fluids, 36, 067115 (2024). https://doi.org/10.1063/5.0209917.
10. Ming-Cheng Tsai, Meaza Bogale, Huajun Huang, On triangular similarity of nilpotent triangular matrices, Linear Algebra and its Applications, 596, 1-35 (2020). https://doi.org/10.1016/j.laa.2020.02.034
11. Meaza Fantahun Bogale, Polya’s Theory of Counting, Diploma Dissertation, The Abdus Salam International Centre for Theoretical Physics, 43 pp, August (2013).
12. Walelign and Meaza Fantahun, Assessment on problems of the new pre-service teachers training program in Jimma University, Ethiopian Journal of Education and Science, J.U, Vol. 2 (2), 63-72, (2007). https://www.ajol.info/index.php/ejesc/article/view/41980

4. Raymond Dewitt

• Office location: Science and Technology Building 314F
• Phone number: 757-727-5029
• Email Address: dewitt@hamptonu.edu
• Biography:
• Position: Assistant Professor of Mathematics Education.

Dr. Ray DeWitt, directs the MAPSS tutoring center, coordinates Supplemental Instruction of MAT 117 and MAT 130, and oversees the undergraduate mathematics program. His research focuses on mathematics placement reform, student self-efficacy, and strategies to improve success in gateway mathematics courses. A recipient of a Hampton University Research Fund grant, Dr. DeWitt is dedicated to supporting student achievement, faculty collaboration, and equity in mathematics education. He serves as a reviewer for the National Science Foundation and The Mathematics Educator and actively presents at state and national conferences.

• Educational background:

B.S. Mathematics —- Montana State University, Bozeman, MT

M.S. Mathematics – Montana State University, Bozeman, MT 

Ed.D Curriculum and Instruction (Math Education) – University of Wyoming

• Research interests:

Task-specific self-efficacy and mathematics achievement, Peer-assisted learning and Supplemental Instruction in gateway mathematics courses, Holistic assessment and equitable placement practices in STEM education, Affective factors influencing student persistence in mathematics, Teacher preparation and pedagogical strategies in mathematics education, Data-informed interventions for improving student success and retention.

• Selected publications:

5. Chelsea Harris

• Office location: Science & Technology Hall 246
• Phone number: 637.3647
• Email Address: harris@hamptonu.edu
• Biography
• Position: Assistant Professor
• Educational background

B.Sc. in Mathematics Education, Delaware State University, Delaware/USA

M.Sc. in Mathematics, Delaware State University, Delaware/USA

Ph.D. in Applied Mathematics, Delaware State University, Delaware/USA

• Research interests: Computer-aided diagnosis, sparse analysis, machine learning, artificial intelligence in medicine, biomedical imaging, image analysis
• Selected publications

1. Harris, C., Liu, L., Almeda, L., Kassick, C., & Makrogiannis, S. (2025, April). Artificial intelligence in pediatric osteopenia diagnosis: evaluating deep network classification and model interpretability using wrist X-rays. Bone Reports, 101845.
2. Harris, C., Liu, L., & Makrogiannis, S. (2025). Pediatric Osteopenia Prediction and Interpretation in Wrist X-rays. In Medical Imaging 2025: Computer-Aided Diagnosis. SPIE.
3. Harris, C., Okorie, U., & Makrogiannis, S. (2024, May). Mammographic Breast Density Classification by Integration of Deep Dictionaries and Multi-Model Sparse Approximations. In 2024 IEEE International Symposium on Biomedical Imaging (ISBI) (pp. 1-5). IEEE.
4. Harris, C., Okorie, U., & Makrogiannis, S. (2023). Spatially Localized Sparse Approximations of Deep Features for Breast Mass Characterization. Mathematical Biosciences and Engineering: MBE, 20(9), 15859.
5. Harris, C. E., & Makrogiannis, S. (2022, June). Sparse Analysis of Block-Boosted Deep Features for Osteoporosis Classification. In 2022 IEEE 14th Image, Video, and Multidimensional Signal Processing Workshop (IVMSP) (pp. 1-5). IEEE.
6. Makrogiannis, S., Zheng, K., & Harris, C. (2021). Discriminative Localized Sparse Approximations for Mass characterization in Mammograms. Frontiers in Oncology, 11, 725320.
7. Zheng, K., Harris, C., Bakic, P., & Makrogiannis, S. (2020). Spatially Localized Sparse Representations for Breast Lesion Characterization. Computers in Biology and Medicine, 123, 103914.
8. Makrogiannis, S., Harris, C. E., & Zheng, K. (2020, October). Discriminative Localized Sparse Representations for Breast Cancer Screening. In International Symposium on Mathematical and Computational Oncology (pp. 32-43). Cham: Springer International Publishing.
9. Zheng, K., Harris, C. E., Jennane, R., & Makrogiannis, S. (2020). Integrative Blockwise Sparse Analysis for Tissue Characterization and Classification. Artificial intelligence in medicine, 107,

6. Ranis Ibragimov

• Office location: Science & Tech 246
• Phone number: (757) 728-4442
• Email Address: Ranis.Ibragimov@hamptonu.edu
• Biography
• Position: Associate Professor of Mathematics
• Educational background:

B.Sc..Novosibirsk State University, Russia.

M.Sc. Novosibirsk State University, Russia.

Ph.D. University of Waterloo, ONT, Canada.

• Research interests:

My research interests broadly lie in the applications of Mathematical Modeling (including Differential Equations, Analytic and Numerical Methods, Perturbation theory, Bifurcation phenomena, Asymptotic Methods, Data Analysis, and Statistics) to industrial, engineering, and environmental sciences. As a fluid dynamicist, I have worked on geophysical and environmental flows within a complex geometry. My research is numerically oriented and theoretical in nature.

• Selected publications:

1. Ibragimov, R.N., Blake, E, “Finding the Fibonacci spiral patterns in atmospheric equatorial waves”, Journal of Applied Mathematics and Physics, 10 (12), (2022)
2. Ibragimov, R.N., Mongrian, L., Stimmel, B, Trozkaya, O, “Visualization of exact invariant solutions     associated with atmospheric waves in a thin circular layer”, Journal of Applied Mathematics and Physics, 9 (5), (2021)
3. Ibragimov, R.N., Vatchev, V., “Correlation between no-slip and slip boundary conditions associated with a two-dimensional Navier-Stokes flows in a plane diffuser”, Journalof Mathematical Sciences:  Advances and Applications, 65, 1-23, (2021)  
4. Ibragimov, R.N., “Effects of rotation on planetary internal gravity waves initiated by the stratospheric      polar vortex”, International Journal of Non-Linear Mechanics, 126, 103588, (2020)
5. Ibragimov, R.N., Arndt, N., Lin, G., et al. “Energy spectrum of linear internal wave filed in the vicinity of continental slope”, Journal of Applied Mathematics and Physics, to appear (2020)
6. Ibragimov, R.N., Mohazzabi, P., Roembke, R., Van Ee, J., “Asymptotic stability of the polar vortex perturbed by harmonic waves describing atmospheric gravity waves circulating in an equatorial plane of a spherical planet”, to appear in Mathematical Modeling of Natural Phenomena, 13 (4), (2018)
7. Ibragimov, N.H., Ibragimov, R.N., Kovalev, V.F., “Invariant solutions and shock atmospheric waves in a thin circular layer”, MathematicalModeling of Natural Phenomena, 13 (19), pp. 14-35, (2018) 
8. Ibragimov, R.N., Bakhtiyarov, S.I., Zweigart, P., “Correlation between three-dimensional sine sweep dynamics vibration testing and resonantly interacting internal gravity wave field”, Mathematical Modeling of Natural Phenomena, 12 (1), pp. 36-72, (2017)
9. Ibragimov, R.N., Lejmbach, K., “Mathematical modelling describing effects of corrugation scales on efficiency of mixing in the vicinity of ocean’s deep Continental slope”, Journal of Aquaculture & Marine Biology, 5 (4): 00128, (2017)
10. Ibragimov, R.N., “Mathematical modeling of equatorial atmospheric waves similar to those traveling along a hexagon-shaped path at the north pole of Saturn”, Mathematical Modeling of Natural   Phenomena, 12 (3), pp.146-156, (2017)
11. Ibragimov, R.N., Ibragimov, N.H., Mohazzabi, P., “Approximate and invariant solutions of a   mathematical model describing a simple one-dimensional blood flow of variable density”, Journal of Applied Mathematics and Physics, 5, pp. 1335-1354, (2017)
12. Ibragimov, R.N., Lin, G., “Nonlinear analysis of perturbed rotating whirlpools in the ocean and      b atmosphere”, Mathematical Modeling of Natural Phenomena, 12 (1), pp. 9-29, (2017)

7. Dejenie Lakew

• Office location: Science & Tech 318
• Phone number: (757)727-5352
• Email Address: lakew@hamptonu.edu
• Biography
• Position: Assistant Professor and Interim Chair of Mathematics
• Educational background

B.Sc., Addis Ababa University, Ethiopia.

M.Sc., Addis Ababa University, Ethiopia.

Ph.D., University of Arkansas, Fayetteville, Arkansas.

• Research interests

Functional Analysis, Operator Theory, Hyper-Complex Function Theory and Differential Equations

• Selected publications

1. Orthogonal Parts of a Solution to a Higher- Order Cauchy BVP over Sobolev Spaces, Parana J. Sci. Educ., Vol. 9, No. 7 (1-11), 1, 2023 (with Rawal)
2. On Transcendental Discrete Initial Value Problems, Parana J. Sci. Educ., Vol. 8, No. 6 (9-12) 8, 2022
3. On Some Discrete Differential Equations, Parana J. Sci. Educ., Vol. 7, No. 9 (1-6), Nov. 12, 2021
4. On Orthogonal Decomposition of a Sobolev Space, Oper. Theory, Vol. 2, No. 4 (2017) 419-427, arXiv: 1611.04249.v1, Nov. 14, 2016.
5. New Proofs of Properties of Orthogonal Decomposition of a Hilbert Space, arXiv:07944v1, Oct. 27, 2015.
6. On Orthogonal Decomposition of a Hilbert Space ℒ² (Ω), J. of Math. Comp. Sci., Vol. 10, No. 1 (2015) 27-37; arXiv: 1503.01209v1, 2015.
7. Clifford Analysis on Orlicz-Sobolev Spaces, arXiv: 1409: 8380v1, 2014 (with Mulugeta Alemayehu).
8. Norm Estimates for Solutions of Elliptic BVPs of the Dirac Operator, arXiv: 1401: 3904v1, 2014.
9. The Fibonacci sequence via the ∑ – Transform, arXiv: 1401: 0243v1, 2014.
10. The Intrinsic π – Operator on Domain Manifolds in ℂ⁽ⁿ⁺¹⁾, Anal. Oper. Theory, Vol. 4, No. 2 (2010) 271-280 (with John Ryan).
11. The Spherical π Operator, arXiv: 0811: 3257v1, 20 Nov 2008.
12. W_{Cl_{n}}^{2,k}-Best Approximation of a γ – Regular Function, Appl. Anal., Vol. 13, No. 2 (2007) 259-273.
13. Complete Function Systems and Decomposition Results Arising in Clifford Analysis, Meth. Function Theory, CMFT, No1 (2002) 215-228 (with John Ryan).
14. Complete Function Systems and Decomposition Results Arising in Clifford Analysis, Progress in Analysis: Proceedings of 3^rd International ISSAC Congress Vol. 1 (2001) 325-336 (with John Ryan).
15. Clifford Analytic Complete Function Systems for Unbounded Domains, Meth. Appl. Sci., Vol. 25(2002) 1527 – 1539 (with John Ryan).
16. Over Determined Problems for Elliptic Equations, Proceedings of the 4th Int. Coll. on Differential Equations, VSP, Inter. Sci. Pub., The Netherlands, 1994: 11 – 20 (with Giovanni Porru).
17. Monika

• Office location: Science and Technology Building 248
• Phone number: 7577275909
• Email Address: monika@hamptonu.edu
• Biography
• Position: Assistant Professor
• Educational background

B.Sc. Mathematics Honors, Daulat Ram College, Delhi University, Delhi, India

M.Sc. Mathematics, IIT Bombay, Mumbai, India

Ph.D. Mathematics, University of Memphis, Tennessee, USA

• Research interests: Functional Analysis and Operator theory. Open to explore new fields
• Selected publications:

1. Monika, Bentuo Zheng : The numerical index of ℓ^2_ p . Linear and Multilinear Algebra, (2022). 
2. Monika, Fernanda Botelho, Richard Fleming : The Existence of Linear Selection and the Quotient Lifting Property. Indian J Pure Appl Math, (2021).
3. Monika, D.C. Cadavid, B. Zheng, The maximal ideal in the operators on (Σℓ_q)_c_0 , Bulletin of the Australian Mathematical Society, (2022).
4. Monika, T.S.S.R.K. Rao : Quotients of tensor product spaces. Contemp. Math., 737, Amer. Math. Soc., 125–134, (2019).

9. Alemayehu Negash

• Office location: Science & Tech 314C
• Phone number: 728.6840
• Email Address: negash@hamptonu.edu
• Biography:
• Position: Assistant Professor of Mathematics
• Educational background:

B.Ed, Kotebe College of Teacher Education, Ethiopia.

M.Sc., Addis Ababa University, Ethiopia.

Ph.D., Andhra University, Visakhapatnam, India. and

Ph.D. , Auburn University, Auburn, AL, USA.

• Research interests: My current research directions focus on: Applied Mathematics and Mathematical Analysis; Probability Theory and Fractional Stochastic Partial Differential Equations (SPDEs); Functional Analysis and Fixed Point Theory; Linear and Nonlinear Optimization Methods; Matrix Theory, operator theory; Abstract Algebra, and Group Theory.
• Selected publications:

1. B. Mijena, E. Nane, and A.G. Negash, “Level of noise and long-time behavior of space-time fractional SPDEs in bounded domains,” Discrete and Continuous Dynamical Systems – Series S, 2022.
   [DOI: 10.3934/dcdss.2022180]
2. Woldegiorgis, M., Bogale, M. F., Negash, A. G., & Hussein, S., “A Point of Coincidence and Common Fixed Point Theorem for Expansive Type Mappings in B-Metric Spaces,” Fixed Point Methods and Optimization.
3. Negash, A., & Bogale, M., “A Common Fixed Point Result for Generalized Cyclic Contraction Pairs Involving Altering Distance and Control Functions in Partial Metric Spaces,” Advances in Pure Mathematics, 15(7), 491–504, 2025.
4. Negash, A. G., Ayalew, A., & Bogale, M. F., “A Common Fixed Point Theorem for Generalized Contraction Pair of Self-Maps in B-Metric Spaces,” Parana Journal of Science and Education, 11(4), 25–32, 2025.
5. Busha, A.G. Negash, and B. Asfawosen, “A Common Fixed Point Theorem for Reich Type Co-Cyclic Contraction in Dislocated Quasi-Metric Spaces,” Ethiopian Journal of Science and Technology, 10(1), 81–94, 2017.
6. V.R. Babu, A.G. Negash, “Existence of Common Fixed Points for Weakly Compatible and Cq-Commuting Maps and Invariant Approximations,” Thai Journal of Mathematics, 15(3), 761–776, 2017.
7. Mujahid Abbas, G.V.R. Babu, and A.G. Negash, “On Common Fixed Points of Weakly Compatible Maps Satisfying Generalized Contraction Condition (B),” FILOMAT, 25(2), 9–19, 2011.
8. V.R. Babu, and A.G. Negash, “Common Fixed Point Theorems for Occasionally Weakly Compatible Maps Satisfying Property (E.A.) Using an Inequality Involving Quadratic Terms,” Applied Mathematics Letters, 24(6), 975–981, 2011.
9. V.R. Babu, and A.G. Negash, “Fixed Points of Nodal Contractions in Cone Metric Spaces,” Tamkang Journal of Mathematics, 42(1), 39–51, 2011.
10. V.R. Babu, K. Nageswara Rao, and A.G. Negash, “Common Fixed Points of Two Pairs of Generalized Weakly Contractive Maps,” Advanced Studies in Contemporary Mathematics, 20(4), 575–594, 2010.

10. Shibabrat Naik

• Office location: Science and Technology Building 246B
• Phone number: 757-637-3646
• Email Address: naik@hamptonu.edu
• Biography:

Dr. Naik joined Hampton University in Sept/2023 as a faculty member in the Department of Mathematics and as a member of the Center for Fusion Training and Research to design and build the fusion experiment, STAR_Lite, for training fusion scientists and answering novel questions related to stellarator research. For current updates, see here: https://shibabrat.github.io/

• Position: Assistant Professor
• Educational background

B.E. in Civil Engineering from Jadavpur University (Kolkata, India)

Ph.D. in Engineering Mechanics from Virginia Tech (Blacksburg, USA)

Postdoctoral researcher in engineering at Drexel University and University of Pennsylvania, and in mathematics at University of Bristol (UK) and University of Warwick (UK).

• Research interests: Naik research interests are in theory and applications of dynamical systems, chaos, computational science and engineering including magnetic confinement of plasma, fusion energy, and theoretical chemistry. His interdisciplinary research articles on nonlinear dynamics and computational science have appeared in Physical Review E, Nonlinearity, Chaos, Communication in Nonlinear Science and Numerical Simulation, Royal Society’s Physical Chemistry and Chemical Physics.
• Selected publications

1. Pandey, S. Naik, and S. Keshavamurthy. Influence of low frequency modes on dynamical concertedness in double proton transfer dynamics. Communications in Nonlinear Science and Numerical Simulation, 109:106326, 2022. DOI: https://doi.org/10.1016/j.cnsns.2022.106326
2. Krajňák, S. Naik, and S. Wiggins. Predicting trajectory behaviour via machine-learned invariant manifolds. Chemical Physics Letters, page 139290, 2021. DOI: https://doi.org/10.1016/j.cplett.2021.139290
3. Naik, V. Krajňák, and S. Wiggins. Support vector machines for learning reactive islands. Chaos: An Interdisciplinary Journal of Nonlinear Science, 31(10):103101, October 2021. DOI: https://doi.org/10.1063/5.0062437
4. Lyu, S. Naik, and S. Wiggins. Hamiltonian pitchfork bifurcation in transition across index-1 saddles. Communications in Nonlinear Science and Numerical Simulation, 103:105949, 2021. DOI: https://doi.org/10.1016/j.cnsns.2021.105949
5. Pandey, S. Naik, and S. Keshavamurthy. Classical and Quantum Dynamical Manifestations of Index-2 Saddles: Concerted Versus Sequential Reaction Mechanisms. Regular and Chaotic Dynamics, 26(2):165–182, March 2021. DOI: https://link.springer.com/article/10.1134/S1560354721020052
6. Lyu, S. Naik, and S. Wiggins. The Role of Depth and Flatness of a Potential Energy Surface in Chemical Reaction Dynamics. Regular and Chaotic Dynamics, 25(5):453–475, September 2020. DOI: https://link.springer.com/article/10.1134/S1560354720050044
7. Naik and S. Wiggins. Detecting reactive islands in a system-bath model of isomerization. Physical Chemistry Chemical Physics, 22(32):17890–17912, 2020. DOI: https://pubs.rsc.org/en/content/articlelanding/2020/cp/d0cp01362e
8. Lyu, S. Naik, and S. Wiggins. UPOsHam: A Python package for computing unstable periodic orbits in two-degree-of-freedom Hamiltonian systems. Journal of Open Source Software, 5(45):1684, January 2020. DOI: https://joss.theoj.org/papers/10.21105/joss.01684
9. J. García-Garrido, S. Naik, and S. Wiggins. Tilting and Squeezing: Phase Space Geometry of Hamiltonian Saddle-Node Bifurcation and its Influence on Chemical Reaction Dynamics. International Journal of Bifurcation and Chaos, 30(04):2030008, March 2020 DOI: https://doi.org/10.1142/S0218127420300086
10. Naik and S. Wiggins. Finding normally hyperbolic invariant manifolds in two and three degrees of freedom with Hénon-Heiles-type potential. Physical Review E, 100(2):022204, August 2019. DOI: https://doi.org/10.1103/PhysRevE.100.022204
11. Naik, V. J. García-Garrido, and S. Wiggins. Finding NHIM: Identifying high dimensional phase space structures in reaction dynamics using Lagrangian descriptors. Communications in Nonlinear Science and Numerical Simulation, 79:104907, December 2019. DOI
12. D. Ross, A. E. BozorgMagham, S. Naik, and L. N. Virgin. Experimental validation of phase space conduits of transition between potential wells. Physical Review E, 98(5):052214, 2018. DOI: https://doi.org/10.1016/j.cnsns.2019.104907  
13. Daniel Ntiamoah

• Office location: Science and Technology Building 246C
• Phone number: 757-727-5550
• Email Address: ntiamoah@hamptonu.edu
• Biography
• Position: Assistant Professor of Mathematics
• Educational background

Ph.D. in Applied Mathematics, Ohio University, Athens, OH, USA

M.A. in Mathematics, Central Michigan University, Mount Pleasant, MI, USA 

M.Phil. in Mathematics, University of Ghana, Legon, Ghana

B.Sc. in Mathematics and Psychology, University of Ghana, Legon, Ghana

• Research interests

Optimization and alternating algorithms, Numerical analysis and computational methods in high dimensions, Dynamical systems and nonlinear dynamics, Mathematical biology and epidemiological modeling, Differential equations (ordinary and partial), Machine learning and artificial intelligence applications, Applied mathematics and mathematical modeling.

• Selected publications

1. Akpan, U., Akinyemi, L., Ntiamoah, D., Houwe, S., Alphonse, A. (2024). “Generalized stochastic Korteweg-de Vries equations, their Painlevé integrability, N-soliton and other solutions,” International Journal of Geometric Methods in Modern Physics. https://doi.org/10.1142/S0219887824501287
2. Şenol, M., Gençyiğit, M., Ntiamoah, D., Akinyemi, L. (2024). “New (3+1)-dimensional conformable KdV equation and its analytical and numerical solutions,” International Journal of Modern Physics B, 2450056. https://doi.org/10.1142/S0217979224500565
3. Ntiamoah, D., Ofori-Atta, W., Akinyemi, L. (2024). “The higher-order modified Korteweg-de Vries equation: its soliton, breather and approximate solutions,” Journal of Ocean Engineering and Science. https://doi.org/10.1016/j.joes.2022.06.042
4. Adeniyi, M.O., Aderele, O.R., Oludoun, O.Y., Ekum, M.I., Matadi, M.B., Oke, S.I., Ntiamoah, D.(2023). “A mathematical and exploratory data analysis of malaria disease transmission through blood transfusion,” Frontiers in Applied Mathematics and Statistics, 9. https://doi.org/10.3389/fams.2023.1105543

12. Alkesh Ramprakash Punjabi

• Office location: GPRC 110
• Phone number: 757-727-5343
• Email Address: punjabi@hamptonu.edu
• Biography
• Position: Research professor, Director, Center for Fusion Research & Training
• Educational background

B.Sc., St. Xavier’s College, Ahmedabad, India.

M.Sc., University School of Science, Ahmedabad, India.

Ph.D., College of William and Mary, Virginia, USA.

• Research interests: Nuclear Fusion and nonlinear dynamics
• Selected publications:

1. An area-preserving mapping in natural canonical coordinates for magnetic field line trajectories in the DIII-D tokamak, A. Punjabi, Nucl. Fusion 49, 115020 (2009).
2. An accurate symplectic calculation of the inboard magnetic footprint from statistical topological noise and field errors in the DIII-D, A. Punjabi and H. Ali, Phys. Plasmas 18, 022509 (2011)
3. Symplectic calculation of the outboard magnetic footprint from noise and error fields in the DIII-D, H. Ali, A. Punjabi, and Ernest Nyaku, J. Plasma Phys. 77, 785-802 (2011)
4. Magnetic barriers and their q95 dependence at DIII-D, F.A. Volpe, J. Kessler, H. Ali, T.E. Evans and A. Punjabi, Nucl. Fus. 52, 054017 (2012)
5. Homoclinic tangle in tokamak divertors, A. Punjabi and A. Boozer, Phys. Lett. A, 378, 2410 (2014)
6. Homoclinic tangle of the ideal separatrix in the DIII-D tokamak from (30, 10) + (40, 10) Perturbation, A. Punjabi, Phys. Plasmas 21, 122516 (2014)
7. Loss of relativistic electrons when magnetic surfaces are broken, A. Boozer and A. Punjabi, Phys. Plasmas 23, 102513 (2016)
8. Simulation of stellarator divertors, A. H. Boozer and A. Punjabi, Phys. Plasmas 25, 092505 (2018)
9. Simulation of nonresonant stellarator divertor (Editor’s Choice), A. Punjabi and A. H. Boozer, Phys. Plasmas 27, 012503 (2020)
10. Magnetic turnstiles in nonresonant stellarator divertor, A. Punjabi and A. H. Boozer, Phys. Plasmas 29, 012502 (2022)

13. Nar Rawal

• Office location: Science and Technology Building 332
• Phone number: 757-727-5375
• Email Address: rawal@hamptonu.edu
• Biography
• Position: Assistant Professor
• Educational background

B.Sc., Kumaon University, India.

M.Sc., Tribhuvan University, Nepal.

M.Phil. Kathmandu University, Nepal.

Ph.D., Auburn University, United States.

• Research interests: Spectral Theory and Applications of Nonlocal Dispersal Operators, Population Dynamics, Ecological Modeling
• Selected publications:

1. On Orthogonal Parts of a Solution to a Cauchy BVP over Sobolev Spaces( Parana Journal of Science and Education),  ( volume 9, n.7, December 2023) pp. 1-11
2. Coexistence and Extinction in Time-Periodic Volterra-Lotka Type Systems with Nonlocal Dispersal(  Discrete and Continuous Dynamical Systems Series B), (Volume 23, Number 9, November 2018) pp. 3799-3816
3. Spreading Speeds and Linear Determinacy for Two Species Competition Systems with Nonlocal Dispersal in Periodic Habitats,  {Mathematical Modeling of Natural Phenomena} (2015), pp. 114-142
4. Spreading Speed and Traveling Waves of Nonlocal Monostable Equations in Time and Space Periodic Habitats,  DCDSA ( Discrete and Continuous Dynamical Systems -A}),  ( volume 35, Number 4, April 2015) pp. 1609-1640
5. Criteria for the Existence and Lower Bounds for Principal Eigenvalues of Time Periodic Nonlocal Dispersal Operators and Applications, {Journal of Dynamics and Differential Equations,} (2012) pp. 927-954.

14. Gabrielle Smith

• Office location: Science and Technology Building 330
• Phone number: 757-727-5364
• Email Address: smith@hamptonu.edu
• Biography
• Position: Assistant Professor of Mathematics
• Educational background

B.Sc. in Mathematics, with a minor in Secondary Education from the University of Virginia’s College at Wise, VA

Ph.D. in Genetics, Bioinformatics, and Computational Biology, Virginia Tech, Blacksburg, VA

• Research interests:

Dr. Gabrielle L. Smith is research integrates mathematical modeling, data analytics, and computational biology to explore social-ecological resilience within a One Health framework—examining how human, animal, and environmental systems adapt to change. Her interdisciplinary work develops data-driven models to investigate disease resilience in wildlife and nutrition-sensitive agricultural systems in Sub-Saharan Africa. At Hampton University, Dr. Smith teaches and coordinates undergraduate mathematics courses and contributes to university-wide initiatives in student success, instructional innovation, and research mentorship. She is deeply committed to equitable and accessible education, incorporating Universal Design for Learning principles to foster inclusive, data-informed learning environments that empower all students to engage meaningfully with mathematics.

• Selected publications:

15. Archana Timsina

• Office location: Science and Technology building, 246 FCU
• Phone number: 637.5049
• Email Address: timsina@hamptonu.edu
• Biography
• Position: Assistant Professor of Mathematics
• Educational background

Postdoctoral, North Carolina State University.

Ph.D. in Applied Mathematics, Florida Atlantic University.

M.S. in Applied Mathematics, Florida Atlantic University, USA.

M.S. in Mathematics, Tribhuvan University, Nepal.

B.S. in Mathematics, Tribhuvan University, Nepal.

• Research interests: Timsina’s research interests include Mathematical Biology, Epidemiology, Mathematical Modeling, Data Science, and Computational Dynamical Systems. Her work focuses on applying mathematical and computational techniques to analyze complex systems and solve interdisciplinary problems. She always looks for innovative ways to solve problems regarding data structure, algorithm, and build strong relationships with diverse individuals to improve processes.
• Selected publications:

1. Chandra Deb, L., Timsina, A., Lenhart, S., Foster, D., & Lanzas, C. (2024). Quantifying trade-offs between therapeutic efficacy and resistance dissemination for enrofloxacin dose regimens in cattle. Scientific Reports, 14(1), 20598.
2. Timsina, A. N., Liyanage, Y. R., Martcheva, M., & Tuncer, N. (2024). A novel within-host model of HIV and nutrition. Mathematical Biosciences and Engineering, 21(4).
3. Das, P., Igoe, M., Lacy, A., Farthing, T., Timsina, A., Lanzas, C., Lenhart,S.,Odoi, A., & Lloyd, A. L. (2024). Modeling county level COVID-19 transmission in the greater St. Louis area: Challenges of uncertainty and identifiability when fitting mechanistic models to time-varying processes. Mathematical Biosciences, 371, 109181.
4. Timsina, A. N., & Tuncer, N. (2023). Dynamics and optimal control of HIV infection and opioid addiction. In Computational and Mathematical Population Dynamics (pp. 61-112).
5. Timsina, A. N., & James, J. M. (2022). Parameterized stable/unstable manifolds for periodic solutions of implicitly defined dynamical systems. Chaos, Solitons & Fractals, 161, 112345.
6. Tuncer, N., Timsina, A., Nuno, M., Chowell, G., & Martcheva, M. (2022). Parameter identifiability and optimal control of an SARS-CoV-2 model early in the pandemic. Journal of Biological Dynamics, 16(1), 412-438.

16. Feras Yousef

• Office location: Science and Technology Building 314B
• Phone number: (757) 727-5549
• Email Address: yousef@hamptonu.edu
• Biography
• Position: Associate Professor of Mathematics and Graduate Program Director
• Educational background:

M.Sc. in Mathematics, New Mexico State University, USA, 2012

Ph.D. in Mathematics, New Mexico State University, USA, 2015

• Research interests:

Nonlinear Partial Differential Equations arising in Physical, Biological, and Materials Sciences; Numerical Methods; Dynamical Systems; Structural Bioinformatics; Geometric Function Theory; Fixed Point Theory; Fractional Differential Equations and their Applications.

• Selected publications:

1. Bhatti, A. H.; Karim, S.; Amourah, A.; Jameel, A. F.; Yousef, F.; Anakira, N. “A Novel Approximation Method for Solving Ordinary Differential Equations Using the Representation of Ball Curves”. Mathematics, Vol. 13(2) (2025), 250.
2. Al-Hawary, T.; Illafe, M.; Yousef, F. “Certain Constraints for Functions Provided by Touchard Polynomials”. International Journal of Mathematics and Mathematical Sciences, Vol. 2025(1) (2025), Article ID 2581058, 8 pages.
3. Illafe, M.; Mohd, M. H.; Yousef, F.; Supramaniam, S. “Bounds for the Second Hankel Determinant of a General Subclass of Bi-univalent Functions”. International Journal of Mathematical, Engineering and Management Sciences, Vol. 9(5) (2024), 1226.
4. Illafe, M.; Haji Mohd, M.; Yousef, F.; Supramaniam, S. “A Subclass of Bi-univalent Functions Defined by the Symmetric q-Derivative Operator and Gegenbauer Polynomials”. European Journal of Pure and Applied Mathematics, Vol. 17(4) (2024), pp. 2467-2480.
5. Yousef, F.; Semmar, B.; Al Nasr, K. “Dynamics and Simulations of Discretized Caputo-Conformable Fractional-Order Lotka–Volterra Models”. Nonlinear Engineering, Vol. 11(1) (2022), pp. 100-111.
6. Alquran, M.; Yousef, F.; Alquran, F.; Sulaiman, T.A.; Yusuf, A. “Dual-Wave Solutions for the Quadratic–Cubic Conformable-Caputo Time-Fractional Klein–Fock–Gordon Equation”. Mathematics and Computers in Simulation, Vol. 185 (2021), pp. 62-76.
7. Yousef, F.; Alroud, S.; Illafe, M. “New Subclasses of Analytic and Bi-Univalent Functions Endowed with Coefficient Estimate Problems”. Analysis and Mathematical Physics, Vol. 11(2) (2021), pp. 1-12.
8. Yousef, F.; Alkam, O.; Saker, I. “The Dynamics of New Motion Styles in the Time-Dependent Four-Body Problem: Weaving Periodic Solutions”. The European Physical Journal Plus, Vol. 135(9) (2020), pp. 1-10.
9. Yousef, F.; Alquran, M.; Jaradat, I.; Momani, S.; Baleanu, D. “New Fractional Analytical Study of Three-Dimensional Evolution Equation Equipped with Three Memory Indices”. Journal of Computational and Nonlinear Dynamics, Vol. 14(11) (2019), pp. 1-7.
10. Yousef, F.; Alquran, M.; Jaradat, I.; Momani, S.; Baleanu, D. “Ternary-Fractional Differential Transform Schema: Theory and Application”. Advances in Difference Equations, Vol. 2019(1) (2019), pp. 197-209.
11. Al Nasr, K.; Yousef, F.; Jebril, R.; Jones, C. “Analytical Approaches to Improve Accuracy in Solving the Protein Topology Problem”. Molecules, Vol. 23(2) (2018), pp. 1-17.
12. Giorgi, T.; Yousef, F. “Analysis of a Model for Bent-Core Liquid Crystals Columnar Phases”. Discrete and Continuous Dynamical Systems – Series B, Vol. 20(7) (2015), pp. 2001-2026.