with an emphasis on dynamics of pattern forming
systems arising in biology, chemistry and physics. To mathematically illustrate the formation
mechanisms of patterns, I am concerned mainly with the existence of solutions representing patterns,
their defects and their interfaces, together with their qualitative properties, such as linear
and nonlinear stability/instability, bifurcations, etc.
Diffusive stability of Turing patterns via normal forms.
Small-amplitude grain boundaries of arbitrary angle in the Swift-Hohenberg equation.
Z. Angew. Math. Mech., To appear (PDF).
M. Kotzagiannidis, J. Peterson, J. Redford, A. Scheel, Q. Wu
Stable pattern selection through invasion fronts in closed two-species reaction-diffusion systems.
RIMS Kôkyûroku Series B31: For-From-Equilibrium Dynamics(2012), 79-92 (PDF).
MATH1051, Precalculus 1, Fall 2007
MATH1151, Precalculus 2, Fall 2008
MATH1271, Calculus 1, Fall 2009
MATH1271, Calculus 1, Spring 2010
MATH2243, Linear Algebra and Differential Equations, Fall 2010
MATH1372, CSE Calculus 2, Spring 2011
MATH1151, Precalculus 2, Spring 2011
MATH1051, Precalculus 1, Fall 2011
MATH3283W, Sequences, Series, and Foundations: Writing Intensive, Spring 2012
MATH3283W, Sequences, Series, and Foundations: Writing Intensive, Spring 2013