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Alfred Michel Grundland

Members

Name

Alfred Michel Grundland

Affiliation

UQTR, Université de Montréal

Email

grundlan@crm.umontreal.ca

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)

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