Faculty research in Math/Stat includes Applied Mathematics and Numerical Analysis, Analysis (inverse problems, partial differential equations, several complex variables), Differential Geometry and Topology, and Statistics. The strengths of the Math/Stat faculty consist of research productivity in areas related to the PhD program, recognized expertise in research, and research grants.
ANALYSIS COMPUTATION GEOMETRY STATISTICS
Bukhgeim: Scalar and Vector Tomography for the Weighted Transport Equation with Application
to Helioseismology (with N. Thompson) Journal of Inverse and Ill-Posed Problems, (2021)。 DeLillo: Potential flow in a multiply connected circle domain using series methods (with
J. Mears, and A. Silva-Trujillo), Journal of Computational and Applied Mathematics,
391 (2021),。 Fraser. Three-term arithmetic progressions in subsets of F_q^∞ of large fourier dimension.
Annales Fennici Mathematici, 46(2) (2021)。 Li: Lower Bounds for the First Eigenvalue of the Laplacian on Kähler Manifolds (with
Kui Wang), Transactions of the AMS, 374, no. 11, (2021)。 Liu: A class of adaptive multiresolution ultra-weak discontinuous Galerkin methods for
some nonlinear dispersive wave equations (with J. Huang, Y. Liu, Y. Liu, Z. Tao and
Y. Cheng), SIAM Journal on Scientific Computing, (2021) Lu: Superconvergence of discontinuous Galerkin method for scalar and vector linear advection
equations (with S. Rahmati), Journal of Scientific Computing, (2021)。 Ma: Hyperbolic cosine ratio and hyperbolic sine ratio random fields. Statistics and
Probability Letters, vol. 179 (2021). Searle: Torus actions, maximality and non-negative curvature (with C. Escher), J. Reine
Angew. Math., (2021).2021 Publication Highlights
14 proposals submitted. $2.4M requested. 5 active research grants withGrant Activities in 2021
Dao (PI): A Bayesian Approach to Parameter Estimation and Variable Selection in High-Dimensional
Binary Quantile Regression Models. Wichita State University (URCA 220316), 12/2021-12/2022. Fraser (PI): Mathematical Sciences Postdoctoral Research Fellow, National Science Foundation,
2018-2021. Liu (PI): Simons Foundation Collaboration Grant, High order numerical methods on complex
geometries, 2016-2021. Lu (CoPl): Smart Fusion Material Research Cluster, WSU President’s Convergence Sciences
Research Initiative, 2020-2023, Searle (PI): Curvature and Symmetry, NSF DMS #1906404 for $248,098.00. 2019-20212021 Grant Highlights