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 Lie Algebras and Homogeneous Spaces |
| Area of research (5) | Exceptional Orthogonal Polynomials |
| Postdoctoral Fellows with dates (current and since last year) (1) | Danilo Latini (2021 to present, co-supervision with Ian Marquette) |
| Students with dates (current and since last year) and affiliation (1) | Bartosz Zawora, PhD student (2024 to present), co-supervision with J. de Lucas (Warsaw University) |
| Students with dates (current and since last year) and affiliation (2) | William Trudel, MSc student (2023 to present) |
| Students with dates (current and since last year) and affiliation (3) | Alexandre Duguay, MSc student (2020 to 2023) |
| Visiting Researchers with exact dates (current and since last year) and affiliation (1) | Robert Conte, Centre de Borelli, École Normale Supérieure, France (May 2023) |
| Visiting Researchers with exact dates (current and since last year) and affiliation (2) | Jan Derezinski, Warsaw University, Department of Mathematical Methods in Physics (August 2023) |
| Visiting Researchers with exact dates (current and since last year) and affiliation (3) | Javier de Lucas, Warsaw University, Department of Mathematical Methods in Physics (Simons-CRM Professorship, September 2023-December 2023) |
| Selected Recent Publications (past 2 years only) (1) | A. M. Grundland, D. Latini, I. Marquette (2023) Recurrence relations and general solution of the exceptional Hermite equation, Annales Henri Poincar'e, https://doi.org/10.1007/s00023-023-01395-x, arXiv:2211.00327 |
| Selected Recent Publications (past 2 years only) (2) | A. M. Grundland (2024) On k-wave solutions of quasilinear systems of partial differential equations, submitted to OCNMP, special issue in memory of Professor Decio Levi, arXiv:2305.04090v7 |
| Selected Recent Publications (past 2 years only) (3) | A. M. Grundland, I. Marquette (2023) The Lie algebra of the lowest transitively differential group of degree three, J. Phys. A: Math. Theor. 56, 345205 (24pp), in memory of Professor Jiri Patera, https://doi.org/10.1088/1751-8121/acc866, arXiv:2304.06458v2 |
| Selected Recent Publications (past 2 years only) (4) | R. Conte, A. M. Grundland (2023) Reduction of the sine-Gordon equation in $(2+1)$ dimensions to the P6 Painlev'e equation, Bulletin des sciences Mathématiques, BULSCI 103372, Elsevier 1, 348, pp 1-19 |
| Selected Recent Publications (past 2 years only) (5) | A. M. Grundland, J. De Lucas (2023) Multiple Riemann waves for a general form of quasilinear systems, Advances of Differential Equations, 28, 1-2, 73-112, https://doi.org/10.57262/ade028-0102-73, in memory of Professor Pavel Winternitz |
| Selected Recent Publications (past 2 years only) (6) | A. M. Grundland, J. De Lucas (2023) Almost rectifiable Lie algebras and k-wave solutions of nonlinear hydrodynamic-type systems, submitted to Differential Geometry and its Applications, arXiv:2312.05238v1 |
| Recent Invited Talks and Lectures (past year only) (1) | Physmath Lab conference (January 2023), Multi wave solutions of quasilinear systems |
| Recent Invited Talks and Lectures (past year only) (2) | Department of Physics, Warsaw University (July 2023), Exceptional orthogonal Hermite polynomials |
| Recent Invited Talks and Lectures (past year only) (3) | Conference in Integrable Systems, Bialystok (July 2023), Multi wave superpositions in quasilinear systems |
| Recent Awards, Distinctions, Prizes (past 2 years) (1) | Simons-CRM Professorship held by Professor Javier de Lucas while in collaboration with myself on project: Rectifiable Lie algebras and their applications to hydrodynamic-type systems |
| Recent Visiting Positions, Sabbatical Leaves (past 2 years only) | Centre Borelli, École Normale Supérieure (October 2022) Department of Physics, Warsaw University (June-July 2022) Department of Physics, Warsaw University (June-July 2023) |