Dr. Karpeev is an Applied Mathematician interested in computational analysis of models of physical systems, particularly, complex stochastic systems with many interacting components. His recent work includes homogenization analysis of suspensions of interacting protein polymers,active bacterial suspensions, as well as classical density functional theory (DFT) studies of electrolyte-protein interactions. Dr. Karpeev is interested in the analysis of stochastically-driven PDEs resulting from coarse-graining of complex multiparticle systems.
Dr. Karpeev's other scientific interests include development of scalable parallel numerical algorithms and software for PDEs with complex microstructure, transport problems and Hamiltonian systems. His recent algorithmic work focuses on harnessing the power of merging GPGPU and similar architectures for scientific problems.
Dr. Karpeev began his mathematics education at Voronezh State University in Russia and later wrote his thesis under the direction of David Keyes while a Lab Graduate at Argonne National Laboratory. He has remained at Argonne as a Postdoctoral Researcher and later a Fermi Fellow.
Dr. Karpeev has joint appointments at the University of Chicago/Argonne Computation Institute, where he is a Fellow, as well as at Rush Medical Center, where he is a Visiting Assistant Professor in the Department of Molecular Biophysics and Physiology.