MATHEMATICAL SCIENCES CLUSTER 7 RESEARCH CLUSTERS TOR A. KWEMBE BIOMATHEMATICS • INTERDISCIPLINARY GROUP FUNDED BY THE NSF • MATHEMATICAL MODELS OF AQUATIC ECOSYSTEMS – MODELS OF AQUATIC POPULATION GENETICS – GENOMIC BIOINFORMATICS – CONSERVATION AND RESTORATION OF COASTAL/MARINE SEAGRASS HABITAT – MOLECULAR GENETICS OF COASTAL/MARINE SEAGRASS, THE ESSENTIAL FISHERIES HABITAT FACULTY • • • • • Hyun J. Cho Dmitri Sobolev Rafeal Isokpehi Tor A. Kwembe Zenbu Zhang • • • • • Biology Biology Biology Mathematics Mathematics APPLIED PARTIAL AND ORDINARY DIFFERENTIAL EQUATIONS • DIFFUSION MODELS OF TUMOR GROWTH AND ANALYSIS • INSTABILITY AND STABILITY OF ANNEURYSMAL WALLS • DIFFUSION MODELS OF POPULATION DYNAMICS • THE HEAT KERNEL BASED THREEDIMENSIONAL (3D) RECONSTRUCTION OF OBJECTS FROM TWO-DIMENSIONAL (2D) PARALLEL CONTOURS FACULTY • • • • • Celestin Wafo Soh Djiby Fall Tor A. Kwembe Zenbu Zhang Raghu Gompa • • • • • Mathematics Mathematics Mathematics Mathematics Mathematics FINANCIAL MATHEMATICS • Utilization of radial basis functions to interpolate financial data • Radial basis functions approximation of quadratic VaR portfolios of long/short equities • Option pricing using Adomian decomposition method FACULTY • • • • Bassirou Diatta Celetin Wafo Soh Tor A. Kwembe Djiby Fall • • • • Mathematics Mathematics Mathematics Mathematics OPERATOR THEORY AND CRIPTOGRAPHY • Iterated Function Systems of Steganography (IFSS) • Iterated Function Systems of Cryptosystems • Operator with Trivial Range Intersections • Multiplier Transformations on Spaces • Transference of Maximal Multiplier Operators on Local Hardy-Lorentz Spaces • Parabolic Fractional Singular Integral Solutions of Semilinear Diffusion Equations FACULTY • • • • Mohammad Khadivi Daning Chen Tor A. Kwembe Roosevelt Gentry • • • • Mathematics Mathematics Mathematics Mathematics MATHEMATICS EDUCATION • STRUCTURING CURRICULUM AND INTEGRATING RESEARCH • INTERATIVE TEACHING AND LEARNING • Learning Communities in STEM disciplines • The scholarship of Learning and Teaching FACULTY • • • • Vijaya Gompa Raghu Gompa Edna Holbrook Tor A. Kwembe • • • • Mathematics Mathematics Mathematics Mathematics SYMMETRY ANALYSIS OF DIFFERENTIAL EQUATIONS • Symmetry reductions and new exact solutions of the generalized Burgers equation arising in nonlinear acoustics • Integration of stochastic ordinary differential equations from a symmetry standpoint • Non-static Shear-free Spherically Symmetric Charged Perfect Fluid Distributions: a Symmetry Approach FACULTY • Celestin Wafo Soh • Bassirou Diatta • Djiby Fall • Mathematics • Mathematics • Mathematics