Here you can find my math genealogy.
Research Interests: I am
generally interested in mathematical modeling and analysis of
nonlinear phenomena in materials science, physics and biology.
Examples include dynamics of phase boundaries, cracks and
dislocations in crystals, hysteresis in phase-transforming
materials, solitary and heteroclinic traveling waves in
nonlinear lattices and DNA overstretching. The resulting
mathematical problems typically involve minimization of
nonconvex functionals, nonlinear PDEs that change type,
dynamical systems with many degrees of freedom and functional
differential equations. Thus nonstandard analytical and
numerical techniques are required.
Teaching, spring 2017:
School Integration Bee
Pictures from High School
Integration 2008: see as collage
2013 Pitt Integration Bee
2007 Summer Math Days