## Members

Name | Alfred Michel Grundland |

Affiliation | |

Phone (1) | 514-343-6111 ext. 4741 |

Phone (2) | 819-376-5125 ext. 3825 |

Areas of research (1) | Mathematical Physics |

Area of research (2) | Group-Theoretical Methods in Partial Differential Equations |

Area of research (3) | Integrable Systems |

Area of research (4) | Surfaces Immersed in Algebras and Homogeneous Spaces |

Area of research (5) | CPN Sigma Models |

Postdoctoral Fellows with dates (current and since last year) (1) | Adrian Escobar (2017 to present) |

Postdoctoral Fellows with dates (current and since last year) (2) | Sébastien Bertrand (2017 to 2018) |

Postdoctoral Fellows with dates (current and since last year) (3) | Sanjib Dey (2016) |

Students with dates (current and since last year) and affiliation (1) | Daniel Wysocki, PhD student (2017 to present) |

Students with dates (current and since last year) and affiliation (2) | Vincent Chalifour, PhD student (2019 to present) |

Students with dates (current and since last year) and affiliation (3) | Sebastien Bertrand, PhD student (2013 to 2017) |

Students with dates (current and since last year) and affiliation (4) | Alexandre Duguay, MSc student (2019 to present) |

Students with dates (current and since last year) and affiliation (5) | William Gauthier, MSc student (2019 to present) |

Students with dates (current and since last year) and affiliation (6) | Vincent Chalifour, MSc student (2017 to 2019) |

Visiting Researchers with exact dates (current and since last year) and affiliation (1) | Robert Conte, Centre d'Energie Atomique Saclay, France (October 2019) |

Visiting Researchers with exact dates (current and since last year) and affiliation (2) | Benoit Huard, University of Northumbria, Newcastle, Department of Mathematics (November 2019) |

Visiting Researchers with exact dates (current and since last year) and affiliation (3) | Javier de Lucas, Warsaw University, Department of Mathematical Methods in Physics (May 2018, May 2019) |

Selected Recent Publications (past 2 years only) (1) | N. Crampé, A.M. Grundland (2019) $mathbb{C}P^{2S}$ sigma models described through hypergeometric orthogonal polynomials, Annales Henri Poincaré 20, 10, 3365-3387, https://doi.org/10.1007/s00023-019-00830-2 |

Selected Recent Publications (past 2 years only) (2) | A.M. Grundland, J. De Lucas (2019) On the geometry of the Clairin theory of conditional symmetries for higher-order systems of PDEs with applications, J. Diff. Geom. and Appl. 67, 101557, pp 1-29, https://doi.org/10.1016/jdifgeo.2019.101557 |

Selected Recent Publications (past 2 years only) (3) | J. De Lucas, A.M. Grundland (2018) A cohomological approach to immersed submanifolds via integrable systems, Selecta Mathematica 29, 0434 (32pp), DOI:10.1007/s00029-018-0434-y |

Selected Recent Publications (past 2 years only) (4) | S. Bertrand, A. M. Grundland (2018), Structural equations of supermanifolds immersed in the superspace ${mathcal M}^{(3|2)}(c)$ with a prescribed curvature, J. Phys. A: Math. Theor. 51, 305202 (20pp) https://doi.org/10.1088/1751-8121/aac971 |

Selected Recent Publications (past 2 years only) (5) | P. P. Goldstein, A. M. Grundland (2018), The Painlevé property of $mathbb{C}P^{N-1}$ sigma models, J. Phys. Commun. 2, 035046 (7pp), https://doi.org/10.1088/2399-6528/aaae9c |

Selected Recent Publications (past 2 years only) (6) | P. P. Goldstein, A. M. Grundland (2018), On a stack of surfaces obtained from the $mathbb{C}P^{N-1}$ sigma model, J. Phys. A: Math. Theor. 51, 095201 (13pp), https://doi.org/10.1088/1751-8121/aaa8a0 |

Selected Recent Publications (past 2 years only) (7) | A. M. Grundland, A. J. Hariton (2017), Algebraic aspects of the supersymmetric minimal surface equation, Symmetry 9 (12), 318-336, DOI: 10.3390/sym9120318 |

Selected Recent Publications (past 2 years only) (8) | A.M. Grundland, J. De Lucas (2017) A Lie systems approach to the Riccati hierarchy and partial differential equations, J. Diff. Eqs.263, pp 299-337, DOI: 10.1016/j.jde2017.02.038, arXiv: 1612.00256v1 |

Selected Recent Publications (past 2 years only) (9) | A.M. Grundland, A. Strasburger, D. Dziewa-Dawidczyk (2017), $mathbb{C}P^{N}$ sigma models via the $SU(2)$ coherent states approach, Banach Center Publ. 113, Inst. of Math. Polish Acad. of Sc., 169-191, DOI: 10.4064/bc113-0-10, arXiv: 1701.06994 |

Selected Recent Publications (past 2 years only) (10) | A.M. Grundland, V. Lamothe (2017) Fluid dynamics solutions obtained from the Riemann invariant approach, Acta Applicandae Mathematicae, Springer-Verlag, 151, 1, pp 89-119, DOI: 10.1007/s10440-017-0104-7, arXiv: 1703.05366 |

Selected Recent Publications (past 2 years only) (11) | S. Dey, A.M. Grundland (2017) Properties of soliton surfaces associated with integrable $mathbb{C}P^{N-1}$ sigma models, J. Phys. A: Math. Theor. 50, 335201 (19pp) DOI:10.1088/1751-8121/aa7953 |

Selected Recent Publications (past 2 years only) (12) | S. Bertrand, A.M. Grundland (2016) Supersymmetric versions of the Fokas-Gel'fand formula for immersion, J. Phys. A: Math. Theor. 49, 305201 (20pp), DOI:10.1088/1751-8113/49/30/305201 |

Selected Recent Publications (past 2 years only) (13) | A.M. Grundland, D. Levi, L. Martina (2016), On immersion formulas for soliton surfaces, Acta. Polytechnica (Czech Technical University), 56, 3, ISSN 1210-2709, 180-192, DOI:10.14311/AP.2016.56/180 |

Selected Recent Publications (past 2 years only) (14) | R. Conte, A.M. Grundland (2016) Reductions of Gauss-Codazzi equations, Studies in Appl. Math. 137, pp 306-327, DOI: 10.1111/sapm.12121 |

Recent Invited Talks and Lectures (past year only) (1) | Centre de Recherches Mathématiques, Mathematical Physics Laboratory Seminar, Université de Montréal (November 2019), Invited Speaker |

Recent Invited Talks and Lectures (past year only) (2) | Conference on Quantum Theory and Symmetries, Centre de Recherches Mathématiques, Université de Montréal (July 2019), Invited Speaker |

Recent Invited Talks and Lectures (past year only) (3) | Conference on Soliton Theory, Department of Physics, Warsaw, Poland (July 2019), Plenary Speaker |

Recent Invited Talks and Lectures (past year only) (4) | Conference on Integrable Systems, Department of Physics, Warsaw, Poland (July 2019), Invited Speaker |

Recent Invited Talks and Lectures (past year only) (5) | Conference on Soliton Theory, Department of Physics, Warsaw, Poland (June 2018), Plenary Speaker |

Recent Invited Talks and Lectures (past year only) (6) | International Colloquium on Group-Theoretical Methods in Physics 32 (June 2018), Invited Speaker |

Recent Invited Talks and Lectures (past year only) (7) | Conference on Lie Systems, Polish Academy of Sciences, Institute of Mathematics (June 2018), Plenary Speaker |

Recent Invited Talks and Lectures (past year only) (8) | Centre de Recherches Mathématiques, Mathematical Physics Laboratory Seminar, Université de Montréal (April 2018), Invited Speaker |

Recent Awards, Distinctions, Prizes (past 2 years) (1) | Visiting Professor, Institute of Nuclear Physics (June to July 2018 and July to August 2019) |