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The University of New Mexico

All Research

Applied Mathematics
The core direction of Jacob's research is numerical analysis and scientific computing. His specific focus is on high-performance computing, iterative solvers for large sparse (non)linear systems, their associated preconditioning, and numerical PDEs. He approaches his research both from a software perspective centered on providing these methods to the broader community and also from a theoretical perspective centered on the development of new methods. His chief software projects are XBraid (Parallel Multigrid Solvers in Time), PyAMG (Algebraic Multigrid Solvers in Python), and hypre (high performance preconditioners). 
 
Areas: Numerical analysis, computational science, high performance computing
 
Keywords: Iterative methods, preconditioning, multigrid, neural networks, numerical PDEs, parallel-in-time
 

For more information, please see my homepage https://math.unm.edu/~schroder/index.html

 

My research interests are in the areas of noncommutative analysis, operator theory, mathematical physics, probability and statistics. For more details see my personal homepage and the featured article "Untangling Noncommutativity with Operator Integrals" in the Notices of the AMS, 2020 or the short note "Operator Integrals in Theory and Applications" in the Notices of the AMS, 2019.

My research is supported by the National Science Foundation CAREER award.

 

Deborah Sulsky
Applied Mathematics

My research is in biomathematics, continuum mechanics and scientific computation. Over the years, I have developed numerical algorithms for studying problems in embryology, population ecology,  suspension flow, fluid mechanics, and solid mechanics. My recent work involves development of the Material-Point Method (MPM) for solving large-deformation continuum mechanics problems.

Statistics
Pure Mathematics

My research is in the areas of partial differential equations, analysis and geometry.  I am interested in problems concerning local and non-local differential equations, calculus of variations and unique continuation, geometric analysis (special holonomy geometries, conformal geometry, contact, CR and quaternionic contact structures). I also have used harmonic and complex analysis in questions related to fluid dynamics, local zeta functions and unique continuation. See https://www.unm.edu/~vassilev/ for further details.

Janet Vassilev
Pure Mathematics

My primary research interests are in Commutative Algebra and in particular:

  • Closure/Interior operations and structures induced on rings and modules via these operations
  • Chariacteristic p methods in commutative algebra
  • Local Cohomology
  • Differential operators on affine semigroup rings

 

Helen Wearing
Applied Mathematics

Mathematical biology: I'm broadly interested in using mathematical models to understand the biological processes that shape population and community dynamics, with a particular interest in the ecology and evolution of infectious diseases. My research uses a combination of analytical, statistical and computational tools that are drawn from the fields of dynamical systems and stochastic processes.

Statistics

My primary research interests are in statistical computing, nonparametric function estimation, data mining, time series and mixed models. I am interested in developing new statistical theory and methods and in applying statistical tools to real life problems.

My research interests are in the areas of spectral theory for Schrodinger type operators, Extremal polynomials (e.g., Chebyshev and orthogonal polynomials), approximation theory, and more broadly in analysis and mathematical physics.

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