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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) and a BSc in Mathematics and Mechanics from the University of Bucharest (1991).
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).
Currently I also hold an Adjunct Professor position at the University of Ottawa.
The focus of my research is on the role of symmetry in dynamical systems (ODEs and PDEs), in particular in classical mechanics, with applications to celestial mechanics, astrodynamics, rolling bodies, ideal fluids. I use analysis, algebra, differential geometry, topology and numerics, depending on the scope and need.
Recently I become interested in data science, specifically, functional and shape data analysis. It is a cool combination of functional analysis, geometry and statistics, and the field of applications is practically limitless.
My main and long-time research partner is Tanya Schmah (UOttawa). I am also collaborating with colleagues from Brazil, Mexico, Romania, Spain, UK and US.
Chair of the NSERC Scholarships and Fellowships Committee 2019-2020
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.
Recent students and post-docs:
2019- Mr. Julian Christopher, PhD (at UOttawa; in progress)
2017-2019 Dr. Dongyang Kuang, Post-Doc (at UOttawa; now at UTexas at Austin)
2018-2019 Mr. Rameez Syed, "Functional data analysis applied to Alzheimer's Disease Progression", MSc Project
2017-2018 Mr. Elijah Cavan, "Symmetric stationary solutions of nearly-parallel vortices", MSc Project
2018 Ms Christine Schuknecht, "Functional data analysis of EEG signals", USRA (Summer) student
- Schmah, Tanya and Stoica, Cristina: "On the n-body problem in R^4", Philosophical Transactions of the Royal Society A (2019)
- D. McKinley, Damaris, Pasca, Daniel and Stoica, Cristina: "Notes on relative equilibria of isosceles molecules in classical approximation", Journal of Mathematical Physics (2019)
- Stoica, Cristina: "On the n-body problem on surfaces of revolution", Journal of Differential Equations (2018)
- Stoica, Cristina: "An approximation theorem in classical mechanics", Journal of Geometric Mechanics (2016)
- Schmah, Tanya and Stoica, Cristina: "Normal forms for Lie symmetric cotangent bundle systems with free and proper actions" in Geometry, Mechanics, and Dynamics: The Legacy of Jerry Marsden, Eds. Holm D.D., Chang D.E., Ratiu T.S., Patrick G., Fields Institute Communications 73, Springer (2015)
- 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)
- Holm, Darryl D., Schmah, Tanya and Stoica, Cristina: Geometric Mechanics and Symmetry, Oxford Texts in Applied and Engineering Mathematics, Oxford University Press (2009)
Podcast: AMS Mathematical Moments “Working within the System” (2015)
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 possible research projects. If you are curious about a particular problem, please come and talk to me.
- Dynamics of asteroids.
- N-body problems and N-vortex problems in higher dimensional spaces.
- Attitude control of a satellite via shape change.
- Dynamics in singular symplectic structures.
- ODEs and data analysis methods.
- Geometry and dynamics of elastic media.
Contact Info:
Office location: LH3044
Office hours: By appointment.
Languages spoken: English, French, Romanian