Supervision and Mentoring
Selected supervision, mentoring, trainee, and student-project records.
Postdoctoral Fellows
-
Lizhen Zhang, 2025–2027 PhD 2025, Mathematics, Shanghai Jiao Tong University
-
Yann-Meing Law, 2020–2021 PhD 2018, Applied Mathematics, Ecole Polytechnique de Montreal
-
Andy Wan, 2016–2018 PhD 2014, Applied Mathematics, Ecole Polytechnique de Montreal
-
Rohit Jain, 2016–2018 PhD 2016, Mathematics, UT Austin
-
Ihsan Topaloglu, 2012–2014 PhD 2012, Mathematics, Indiana University Bloomington
-
Nella Rotundo, 2012–2013 PhD 2012, Applied Mathematics, Catania
Graduate Students
| Name | Degree | Year | Topic | Co-supervisors |
|---|---|---|---|---|
| Bayarsaikhan Altankhuu | PhD | current | Continuous data assimilation | |
| Seth Taylor | PhD | 2025 | Geometric integration | Jean-Christophe Nave |
| Marc Mekhanik | MSc | 2023 | Deep learning and PDE | Rustum Choksi |
| Karim Elmallakh | MSc | 2022 | Differential operators on fractals | Dmitry Jakobson |
| Pauline Lelandais | MSc | 2022 | Data assimilation in fluid mechanics | |
| Vladmir Sicca Gonçalves | PhD | 2022 | Einstein constraint equations | Jerome Vetois |
| Hilton Maurer | MSc | 2020 | Semilinear elliptic systems | Jerome Vetois |
| Ibrahim Al Balushi | PhD | 2020 | Adaptive spline finite element methods | |
| Seth Taylor | MSc | 2020 | Characteristic mapping method | Jean-Christophe Nave |
| Philippe Blain | MSc | 2018 | Correction function method | Jean-Christophe Nave |
| Erick Schulz | MSc | 2017 | Discrete exterior calculus | |
| Joshua Lackman | MSc | 2015 | Non-CMC solutions of the Einstein constraint equations | Ming Mei |
| Mashbat Suzuki | MSc | 2015 | Manifold learning | Dmitry Jakobson |
| Ibrahim Al Balushi | MSc | 2013 | Compressed sensing in infinite dimensions | |
| Alexandra Tcheng | MSc | 2011 | Einstein constraints |
Undergraduate Trainees
| Name | Year | Type | Topic |
|---|---|---|---|
| Boldsaikhan Bolorkhuu | 2026 | Research trainee | Neural network approximation |
| Sevag Ghazarian | 2026 | Summer research | Lattice quantum models |
| Baljmaa Byambakhand | 2025 | Bachelor's thesis | Einstein-Yang-Mills cosmology |
| Andrew Zeng | 2024 | Honours research project | Gravitational collapse |
| Andrew Zeng | 2024 | Summer research | Classical lattice gauge theory |
| Antoine Laporte | 2022 | Honours research project | Navier-Stokes equations |
| David Le Nir | 2022 | Honours research project | Proca equations |
| Meron Seyoum | 2022 | Summer research | Quantum computation |
| Samuel Zeitler | 2022 | Honours research project | Einstein constraint problem |
| Tomer Moran | 2022 | Honours research project | Calculus of variations |
| Yanghao Zhou | 2022 | Summer research | Differential geometry |
| Hanghui Di | 2021 | Honours research project | Neural networks for solving PDEs |
| Ioan Dobas | 2021 | Summer research | Wildfire smoke distribution |
| John Bei | 2021 | Honours research project | Perfectly matched layers |
| Jonathan Carr | 2021 | Summer research | Quantifying quantum entanglement |
| Noah Nicodemo | 2021 | Summer research | Classical lattice gauge theory |
| Viktor Pavlovic | 2021 | Summer research | Data assimilation in fluid mechanics |
| Dima Yakimenko | 2020 | CEGEP student research project | Relativity paradoxes |
| Francis Clavette | 2020 | CEGEP student research project | From square roots to Newton-Raphson |
| Noah Nicodemo | 2020 | Summer research | Geometric discretization of evolution equations |
| Selim Amar | 2020 | Summer research (ISM) | Discrete exterior calculus |
| Shereen Elaidi | 2020 | Summer research | Wave equation in cosmological spacetimes |
| Stephen Fay | 2020 | Summer research | Lie groups and differential equations |
| Vincent Théberge | 2020 | CEGEP student research project | From square roots to Newton-Raphson |
| Xinyu Huo | 2020 | Summer research | Wave equation in cosmological spacetimes |
| Zachary Tremblay | 2020 | CEGEP student research project | Relativity paradoxes |
| Amanda Gu | 2019 | Independent study | Functional analysis |
| Artiom Matvei | 2019 | Summer research (NSERC USRA) | Modeling atmospheric optical phenomena |
| Benjamin Langer | 2019 | Honours research project | A topic in functional analysis |
| Dominic Petti | 2019 | Independent study | Functional analysis |
| Eric Metzger | 2019 | Independent study | Functional analysis |
| Hugo Latourelle-Vigeant | 2019 | Summer research | Elliptic functions and integrals |
| Jing Ning | 2019 | Undergraduate research project | Mathematical models of neurons |
| Jonah Saks | 2019 | Summer research | Prime number distribution |
| Justin Legrand | 2019 | CEGEP student research project | Computation of pi |
| Karim Elmallakh | 2019 | Honours research project | Differential equations on fractals |
| Leo Kim | 2019 | Summer research | Regge calculus |
| Pauline Lelandais | 2019 | Honours research project | Inverse problems in underwater acoustics |
| Shenshun Yao | 2019 | Independent study | Functional analysis |
| Zheng Wu | 2019 | Independent study | Functional analysis |
| Apolline Bard | 2018 | Undergraduate research project | Data assimilation methods for dynamical systems |
| Nathaniel Leitao | 2017 | Honours research project | Cauchy problem in general relativity |
| Tracey Nilsen-Ames | 2017 | Undergraduate research project | Perfectly matched layers for gravitational waves |
| Alex Laguë | 2016 | Summer research (NSERC USRA) | Gluing constructions in general relativity |
| Guillaume Feigna | 2016 | Summer internship | Adaptive mixed finite element methods |
| Jia Lu | 2016 | Undergraduate research project | Near wall models of turbulent flows |
| Nicolas Fortier | 2016 | Summer research | Computer verification of the Riemann hypothesis |
| Remmelt Amerlaan | 2016 | Honours research project | Discrete exterior calculus |
| Tian Xia | 2016 | Summer research | Adaptive ODE integrators |
| Valentin Duruisseaux | 2016 | Honours research project | Symplectic integrators |
| Woo Jin Jang | 2016 | Summer research | Probabilistic analysis of Gaussian elimination |
| Xuan Dai | 2016 | Summer research | Lie group methods in differential equations |
| Erick Schulz | 2015 | Summer research (NSERC USRA) | Classical lattice gauge theories |
| David Kleiman | 2014 | Honours research project | Mechanical properties of Mobius bands |
| Serena McDonnell | 2014 | Independent study | Technical analysis in financial markets |
| Aditya Kumar | 2013 | Honours thesis | Density functional theory |
| Raphaël Hebert | 2013 | Honours independent study | Geometry of surfaces |
| Antony Della Vecchia | 2012 | Summer research (NSERC USRA) | Strange attractors |
| Mashbat Suzuki | 2012 | Summer research | Randomness in general relativity |
| Olivier Ouelette | 2012 | Summer research | Sobolev spaces |
| Ryan Sicilliano | 2012 | Independent study | Hodgkin-Huxley model and its numerics |
| Spencer Frei | 2012 | Summer research (ISM) | Weak convergence methods in PDE |
| Joshua Lackman | 2011 | Summer research | Nonlinear elliptic equations |
| Zhe Chen | 2011 | Summer research (ISM) | Convex analysis |
| Robert Gibson | 2010 | Summer research (ISM) | Nonlinear wave equations |
Student Writings and Projects
| Name | Topic |
|---|---|
| Olivier Mercier | Mean curvature flow |
| Olga Yakovlenko | Introduction to the Ricci flow |
| Tiago Salvador | Monge-Ampere equations |
| Sébastien Picard | Uniformization theorem |
| Patrick Munroe | Uniformization |
| Selim Tawfik | The Yamabe problem |
| Dustin Connery-Grigg | Control theory and PDE |
| Michael Snarski | Calderón-Zygmund estimates |
| Andrew MacDougall | Some topics in semiclassical analysis |
| Ben Landon | Spectral theory of Schrödinger operators |
| Ben Landon | Introductory scattering theory |
| Spencer Frei | Weak convergence methods |
| Alexandra Tcheng | Rademacher's formula for the partition function |