Professor Tokman's research is focused on building mathematical models of physical phenomena and developing efficient numerical methods for problems in science and engineering. In particular, she has been developing numerical techniques, which allow fast integration of large nonlinear systems of differential equations with widely varying temporal scales. Professor Tokman has worked on modeling large scale behavior of astrophysical and laboratory plasmas, including evolution of coronal loops in the solar atmosphere and plasma configurations arising in fusion related experiments. Her research interests also include computational biology, in particular, modeling experimental manipulations of biomolecular structure of living cells.
The elegant swirls and arcs of solar coronal loops may enchant space fans, but the math that helps explain them is the territory of Professor Mayya Tokman. Among her many areas of interest in applied mathematics, she has worked on modeling large-scale behavior of astrophysical and laboratory plasmas, including the evolution of solar coronal loops in the solar atmosphere.
Tokman also works to develop mathematical approaches to other problems in science and engineering, including models of experimental manipulations of the biomolecular structure of living cells.
She is the UC Merced Faculty Director for the California Teach Science and Math Initiative, a UC systemwide program that aims to create a pathway for students who are passionate about math and science to become skilled teachers in the K-12 system.