Misha Feigin's List of Publications

1.A.P.Veselov, M.V.Feigin, O.A.Chalykh "New integrable deformations of quantum Calogero-Moser problem" Russ.Math.Surv., 1996, 51 (3), pp.185-186
2. O.A.Chalykh, M.V.Feigin, A.P.Veselov "New integrable generalizations of Calogero-Moser quantum problem", J. Math. Phys., 1998, 39 (2), pp. 695-703
3. O.A.Chalykh, M.V.Feigin, A.P.Veselov"Multidimensional Baker-Akhiezer Functions and Huygens' Principle", Commun. Math. Phys., 1999, 206, pp. 533-566
4. M.V.Feigin "Singular operators satisfying an intertwining relation", Theor. and Math. Physics., 1999, 121, N. 2, pp.1478-1483
5. M.V.Feigin, A.P.Veselov"Quasi-invariants of Coxeter groups and m-harmonic polynomials", Intern. Math. Res. Notices, 2002, N. 10, pp. 521-545
6. M.V.Feigin "Intertwining relations for spherical parts of generalised Calogero operators", Theor. and Math. Physics, 2003, 135(1), pp. 55-69
7. M. Feigin, A.P.Veselov"Quasi-invariants and quantum integrals of the deformed Calogero-Moser systems", Intern. Math. Res. Notices, 2003, V. 46, pp. 2487-2511
8. M.Feigin"Quasi-invariants of dihedral systems", Mathematical Notes, 2004, 76(5), pp. 776-791
9. M.Feigin"Bispectrality for deformed Calogero-Moser-Sutherland systems", Journal of Nonlin. Math. Phys., 2005, V.12,sup.2, pp. 95-136
10. M. Feigin "On the logarithmic solutions of the WDVV equations", Czech. J. of Physics, 2006, V.56, N. 10/11, pp.1149-1154
11. Y. Chen, M.Feigin "Painleve IV and degenerate Gaussian unitary ensembles", J.Phys.A.:Math.Gen, 2006, 40(39),pp. 12381-12393
12. M. Feigin, A.P. Veselov "Coxeter discriminants and logarithmic Frobenius structures", Advances in Math., 2007, 212(1), pp.143-162
13. M. Feigin, A.P. Veselov "On the geometry of V-systems", AMS Translations Series 2, 2008, V.224
14. M. Feigin "Trigonometric solutions of WDVV equations and generalized Calogero-Moser-Sutherland systems", SIGMA 5 (2009), 088, 10 pages 

15. M. Feigin "Generalized Calogero-Moser systems from rational Cherednik algebras", Selecta Math, 2012, 218(1), pp. 253-281

16. M. Feigin, C. Shramov ”On unitary submodules in the polynomial representations of rational Cherednik algebras”, Intern. Math. Research Notices, 2012, No. 15, pp. 3375-3414

17. M. Feigin, A. Silantyev “Singular polynomials from orbit spaces”, Compositio Mathematica, 2012, v. 148 (6), pp. 1867-1879

18. M.V. Feigin, M.A. Hallnas, A.P. Veselov “Baker-Akhiezer functions and generalised Macdonald-Mehta integrals”, Journal of Math. Physics, 2013, V.54.


19. M. Feigin, O. Lechtenfeld, A. Polychronakos “The quantum angular Calogero-Moser model”, Journal of High Energy Physics, 2013, 07, 162.

20. M. Feigin, A. Silantyev “Generalized Macdonald-Ruijsenaars systems”, Advances in Mathematics, 2014, v. 250, pp. 144-192.

21. M. Feigin, D. Johnston “A class of Baker-Akhiezer arrangements”, Communications in Math. Physics, v. 328, 2014, no.3, pp. 1117-1157.

22. M. Feigin, T. Hakobyan “On Dunkl angular momenta algebra”, Journal of High Energy Physics, 11 (2015) 107.

23. M. Feigin, "The Hilbert series of Lambda_{r,s}(m)", Appendix to P.Etingof, E. Rains “On Cohen-Macaulayness of algebras generated by generalized power sums”, Communications Math. Phys.(2016)

24. M.V. Feigin, A.P. Veselov “V-systems, holonomy Lie algebras and logarithmic vector fields”, Intern. Math. Res. Notices, 2017.

25. M. Feigin, G. Antoniou “Supersymmetric V-systems”, JHEP, 2019, no.2, 115.

26. M. Feigin, M. Vrabec “Intertwining operator for AG_2 Calogero-Moser-Sutherland system”, JMP, 2019, 60, 073503.

27. M. Alkadhem, M. Feigin “Trigonometric V-systems and solutions of WDVV equations”, J. Phys. A, 2021, no.54, 024002.

28. M. Alkadhem, G. Antoniou, M. Feigin “Solutions of BCn type of WDVV equations”, In "Integrability, quantization, and geometry. I. Integrable systems", 39-53, Proc. Sympos. Pure Math., 103.1, AMS, Providence, RI, 2021

29. M. Feigin, M. Hallnas, A.P. Veselov “Quasi-invariant Hermite polynomials and Lassalle-Nekrasov correspondence”, CMP, 2021, 386, no. 1, 107-141.

30. M. Feigin, T. Hakobyan “Algebra of Dunkl Laplace-Runge-Lenz vector”, LMP, 2022, 112, no.3, 59.



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