Being a Golden Hawk means more than just cheering on our (really good) varsity teams – it means being a student who cares about your community, who works hard in the classroom, and who takes advantage of all the learning opportunities that can happen outside the classroom, too.
I received my PhD in Applied Mathematics from the University of Victoria, BC in 2000. I also hold a DSc degree in Astronomy from the Romanian Academy of Sciences (1997).
Prior to joining Laurier, I was a lecturer at Imperial College London (2004-2005), a postdoctoral fellow at the University of Surrey, UK (2003-2004), a visiting assistant professor at Texas Tech (2002) and research associate at University of Victoria (2000-2002).
Research Interests / Ongoing Projects
The main focus of my research is on the role of symmetry in dynamical systems, in particular in mechanical systems. The applications I am interested in are in classical mechanical systems (celestial mechanics, astrodynamics, rolling bodies, ideal fluids).
Student Opportunities / Supervising
I have Research Assistantships opportunities for undergraduate and graduate students interested in applied mathematics. Current projects are in vortex dynamics (simpler models of hurricanes), dynamics of space and underwater vehicles, and various models of n-body problems. Contact me for more information.
Hernandez-Garduno, Antonio and Stoica, Cristina, “Lagrangian relative equilibria in a modified three-body problem with a rotationally symmetric ellipsoid.” SIAM Journal of Dynamical Systems. (2015)
Arredondo, John Alexander, Perez-Chavela, Ernesto and Stoica, Cristina, “Dynamics in the Schwarzschild isosceles three body problem.” Journal of Nonlinear Science (2014)
Holm, Darryl D., Schmah, Tanya and Stoica, Cristina. Geometric Mechanics and Symmetry, Oxford Texts in Applied and Engineering Mathematics. Oxford University Press. (2009)
Undergraduate and Graduate Projects
To start working together, you should be fairly good at calculus, linear algebra and differential equations. Some physics background and familiarity with Maple or Matlab would be nice.
Below are some research projects. If you are curious about a particular problem, please come and talk to me.
Interacting elliptical vortices in a background shear flow in Hamiltonian formulation.
Dust carried by vortices.
A low-dimensional model for atmospheric dynamics: rigid-body dynamics with dissipative and forcing terms.
N-body problems in computer vision.
N-body problems in astrophysics.
Space station parking in the asteroid belt: stability of a satellite in the gravitational attraction of two rigid bodies.