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Pavel Winternitz

Members

Name

Pavel Winternitz

Affiliation

Département de mathématiques et de statistique et Centre de recherche mathématiques, Université de Montreal

Email

wintern@crm.umontreal.ca

Phone (1)

514 343 7271

Areas of research (1)

Group theoretical methods in physics

Area of research (2)

Nonlinear phenomena

Area of research (3)

Integrable and superintegrable systems

Area of research (4)

Symmetries of differential and difference equations

Area of research (5)

Classification of Lie algebras and their subalgebras

Postdoctoral Fellows with dates (current and since last year) (1)

POST Sarah, 01.08.2009 – 21.09.2012

Postdoctoral Fellows with dates (current and since last year) (2)

RIGLIONI, Danilo, 01.05.2012- 30.04.2015

Postdoctoral Fellows with dates (current and since last year) (3)

ESCOBAR RUIZ, Mauricio Adrian, 01.11 2018 current

Students with dates (current and since last year) and affiliation (1)

VERGE-REBELO, Raphael, PhD, 01.2008 – 08.2015

Students with dates (current and since last year) and affiliation (2)

SAJEDI, Masoumeh,PhD. 2011 – 11.2018

Students with dates (current and since last year) and affiliation (3)

ABOUAMAL, Ismet, MSc, 2015 – 09. 2017

Students with dates (current and since last year) and affiliation (4)

FOURNIER, Felix. MSc. 09.2016, current

Visiting Researchers with exact dates (current and since last year) and affiliation (1)

Dorodnitsyn, Vladimir, KELDYSH Institute, Moscow, 18.09. 01.10.2017

Visiting Researchers with exact dates (current and since last year) and affiliation (2)

Levi, Decio. Roma Tre, 10.01-13.03 (2018); 18.07-15.08 (2017); 20.03 – 26.04 (2017)

Visiting Researchers with exact dates (current and since last year) and affiliation (3)

Marchesiello, Antonella,Czech Technical University, Prague, 23.08 – 14.09 (2017)

Visiting Researchers with exact dates (current and since last year) and affiliation (4)

Marquette Ian, U.of Queensland, Australia,01.07-10.07 (2017) and 05.06.-18.07 (2017)

Visiting Researchers with exact dates (current and since last year) and affiliation (5)

Snobl, Libor, Czech Technical University, Prague,23.08-14.09 (2017)

Visiting Researchers with exact dates (current and since last year) and affiliation (6)

Thomova, Zora, SUNY Polytechnic Institute,Utica, N.Y. 23.07- 31.07 (2017) and 02.02 -06.02.(2018) and 07.03-12.03 (2018)

Visiting Researchers with exact dates (current and since last year) and affiliation (7)

Turbiner, Alexander, UNAM, Mexico, 11.02-17.02 (2018) and 02.10. 04.10 (2017) and 20.02 -24.02 (2017)

Selected Recent Publications (past 2 years only) (1)

BOOK: L. Snobl and P. Winternitz. Classification and Identification of Lie Algebras. AMS, Providence, R.I., 2014 (306 pages).

Selected Recent Publications (past 2 years only) (2)

BOOKS AND PROCEEDINGS EDITED.1. V. Hussin, M. Ismail, D. Levi, Z. Thomova, and Winternitz P., editors. Symmetries and Integrability of Difference Equations, volume 13. Electronic journal SIGMA, Completed March 09, 2018. Contains 13 papers with the total of 276 pages

Selected Recent Publications (past 2 years only) (3)

BOOKS AND PROCEEDINGS EDITED 2. V.Kac, P.J.Olver, P.Winternitz and T.Ozer, Symmetries, Differential Equations and Applications, Springer, 2018

Selected Recent Publications (past 2 years only) (4)

BOOKS AND PROCEEDINGS EDITED. 3. D.Levi, R./Rebelo, and P.Winternitz: Symmetries and Integrability of Difference Equations, Lecture notes of the Abecedarian School of SIDE12 (435 pages). Springer, 2017

Selected Recent Publications (past 2 years only) (6)

A.M.Escobar-Ruiz, J.C. Lopez -Vieyra, P. Winternitz, and I.Yurdusen, Fourth order superintegrable systems separating in Polar coordinates II. Standard potentials. J.Phys.A: Math.Theor. 51,455202(24 pages) ,2018

Selected Recent Publications (past 2 years only) (7)

A.M.Escobar-Ruiz, P. Winternitz, and I.Yurdusen:General N-th order superintegrable systems separating in polar coordinates,J.Phys.A: Math.Theor. (Letter) 51,40LT01(12 pages) ,2018

Selected Recent Publications (past 2 years only) (8)

D.Levi, L.Martina and P.Winternitz, Conformally invariant Elliptic Liouville equation and its symmetry preserving discretisation. Theor.Math.Phys. 196 (3) 1307-1319, 2018

Selected Recent Publications (past 2 years only) (9)

D.Levi, D.Sekera and P.Winternitz, Lie point symmetries and ordinary differential equations passing the Painlevé test, J.Nonl.Math.Phys. 25(4) 604-617 ,2018

Selected Recent Publications (past 2 years only) (10)

V.Dorodnitsyn, R.Kozlov, V.Meleshko, and P.Winternitz. Linear or linearisable first-order delay ordinary differential equations and their Lie point symmetries. J.Phys.A.51, 205203 (24 pages), 2018.

Selected Recent Publications (past 2 years only) (11)

V. Dorodnitsyn, R. Kozlov, V.Meleshko, and P. Winternitz. Lie group classification of first order delay ordinary differential equations. J. Phys. A: Math. Theor., 51:205202 (33 pages), 2018.

Selected Recent Publications (past 2 years only) (12)

Abouamal I. and P. Winternitz. Fifth order superintegrable system separating in cartesian coordinates: Doubly exotic potentials. J. Math. Phys., 59:022109 (27 pages), 2018. arXiv:1708.03379.

Selected Recent Publications (past 2 years only) (13)

A. Marchesiello, L Snobl, and P. Winternitz. Spherical type integrable classical systems in a magnetic field. J. Phys. A: Math. Theor., 51:135205 (24 pages), 2018.

Selected Recent Publications (past 2 years only) (14)

M.A. Escobar-Ruiz, J.C. Lopez-Vieyra, and P. Winternitz. Fourth order superintegrable systems separating in polar coordinates. I. Ex- otic potentials. J.Phys A:Math.Theor, 50:495206 (35 pages), 2017. arXiv:1706.08655.I. Marquette, M. Sajedi, and P. Winternitz. Fourth order superintegrable systems separating in Cartesian coordinates I. Exotic quantum potentials. J.Phys.A: Math.Theor., 50:315201 (29 pages), 2017. arXiv:1703.09751.

Recent Invited Talks and Lectures (past year only) (2)

Pavel Winternitz: Lie symmetries of difference, differential-difference and differential – delay equations. Plenary session talk at ICGTMP 23 in Prague , Czech Republic, July 12, 2018 (talk during Wigner medal award)Wi

Recent Invited Talks and Lectures (past year only) (3)

Invited talk at International Workshop on New Challenges in Quantum mechanics: Integrability and Supersymmetry, Valladolid, Spain, In honour of Veronique Hussin, June 2017 Title: Higher order quantum superintegrability: A new Painlevé conjecture

Recent Awards, Distinctions, Prizes (past 2 years) (1)

Wigner Medal awarded at ICGTMP 32 in Prague, Czech Republic, July 2018. Inscription on the medal: Awarded to Pavel Winternitz for seminal work on symmetries of differential and difference equations and for inspiring a young generation of physicists. 2018

Recent Awards, Distinctions, Prizes (past 2 years)(2)

According to Web of Science (all databases, as of 23.01.2019 my name appears 38 times in the titles of other scientist's articles. As Smorodinsky – Winternitz potentials 22 times, as Tremblay-Turbiner- Winternitz potentials or TTW potentials 9 times, as Post-Winternitz or PW potentials 3 times, as Winternitz systems 3 times and as Levi-Winternitz symmetries once. My h-index is 54. My articles are cited 9581 times. Without self citations 7495 times. I have published 2 articles with over 300 citations, 5 with over 200 and 20 with over 100.

Recent conferences organized or co-organized (past 2 years only) (1)

Member of International Advisory Committee.International Colloquium on Group Theoretical Methods in Physics 32. Prague Czech Republic, July 09-13, 2018.

Recent conferences organized or co-organized (past 2 years only) (2)

Member of International Scientific Committee. 6th International Workshop on New Challenges in Quantum Mechanics: Integrability and Supersymmetry. Valladolid, Spain, 27.06 30.06. 2017 In honour of Veronique Hussin.

Recent conferences organized or co-organized (past 2 years only) (3)

Member of International Scientific Committee. Symmetries, Differential Equations and Applications. SDEA III, Istanbul, Turkey, August 2017

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