# School of Mathematics

## Dr Oleg Chalykh

Lecturer

Applied Mathematics

### Contact details

Room: 8.07

Tel: +44 (0)113 3435112

Email: O.Chalykh @ leeds.ac.uk

## Current postgraduate students

Maxime Fairon (2015)

Abdul Khalid (2014)

## Publications

**Chalykh O, Silantyev A** KP hierarchy for the cyclic quiver *Journal of Mathematical Physics*, **58**, 2017

DOI:10.1063/1.4991031

View abstract

**Chalykh O, Etingof P** Orthogonality relations and Cherednik identities for multivariable Baker-Akhiezer functions *Advances in Mathematics*, **238**, 246-289, 2013

DOI:10.1016/j.aim.2013.01.010

View abstract

**Berest Y, Chalykh O** Ideals of rings of differential operators on algebraic curves (with an appendix by George Wilson) *Journal of Pure and Applied Algebra*, **216**, 1493-1527, 2012

DOI:10.1016/j.jpaa.2012.01.006

View abstract

**Berest Y, Chalykh O** Quasi-invariants of complex reflection groups *COMPOS MATH*, **147**, 965-1002, 2011

DOI:10.1112/S0010437X10005063

**Chalykh O** Algebro-geometric Schrodinger operators in many dimensions *PHILOS T R SOC A*, **366**, 947-971, 2008

DOI:10.1098/rsta.2007.2057

**Berest Y, Chalykh O, Eshmatov F** RECOLLEMENT OF DEFORMED PREPROJECTIVE ALGEBRAS AND THE CALOGERO-MOSER CORRESPONDENCE *MOSC MATH J*, **8**, 21-37, 2008

**Berest Y, Chalykh O** A(infinity)-modules and Calogero-Moser spaces *J REINE ANGEW MATH*, **607**, 69-112, 2007

DOI:10.1515/CRELLE.2007.046

**Chalykh O** Bethe Ansatz for the Ruijsenaars Model of BC1-Type *SYMMETRY INTEGR GEOM*, **3**, 2007

**Chalykh OA, Veselov AP** A remark on rational isochronous potentials *JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS*, **12**, 179-183, 2005

**Chalykh O, Etingof P, Oblomkov A** Generalized Lame operators *COMMUN MATH PHYS*, **239**, 115-153, 2003

DOI:10.1007/s00220-003-0869-6

**Chalykh OA** Macdonald polynomials and algebraic integrability *Advances in Mathematics*, **166**, 193-259, 2002

DOI:10.1006/aima.2001.2033

View abstract

**Chalykh OA, Veselov AP** Locus configurations and v-systems *Physics Letters, Section A: General, Atomic and Solid State Physics*, **285**, 339-349, 2001

DOI:10.1016/S0375-9601(01)00368-1

View abstract

**Chalykh OA** Bispectrality for the quantum Ruijsenaars model and its integrable deformation *Journal of Mathematical Physics*, **41**, 5139-5167, 2000

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**Chalykh OA, Oblomkov AA** Harmonic oscillator and Darboux transformations in many dimensions *Physics Letters, Section A: General, Atomic and Solid State Physics*, **267**, 256-264, 2000

DOI:10.1016/S0375-9601(00)00087-6

View abstract

**Nijhoff FV, Chalykh OA** Bispectral rings of difference operators *Russian Mathematical Surveys*, **54**, 644-645, 1999

DOI:10.1070/RM1999v054n03ABEH000165

**Chalykh OA, Goncharenko VM, Veselov AP** Multidimensional integrable Schrödinger operators with matrix potential *Journal of Mathematical Physics*, **40**, 5341-5355, 1999

View abstract

**Chalykh OA, Feigin MV, Veselov AP** Multidimensional Baker-Akhiezer functions and Huygens’ principle *Communications in Mathematical Physics*, **206**, 533-566, 1999

DOI:10.1007/s002200050836

**Nijhoff FW, Chalykh OA** Bispectral rings of difference operators *Uspekhi Matematicheskikh Nauk*, **54**, 173-174, 1999

DOI:10.1070/rm1999v054n03ABEH000165

**Chalykh OA** Darboux transformations for multidimensional Schrödinger operators *Russian Mathematical Surveys*, **53**, 377-379, 1998

DOI:10.1070/RM1998v053n02ABEH000033

**Chalykh O, Feigin M, Veselov A** New integrable generalizations of Calogero-Moser quantum problem *Journal of Mathematical Physics*, **39**, 695-703, 1998

View abstract

**Chalykh OA** The duality of the generalized Calogero and Ruijsenaars problems *Russian Mathematical Surveys*, **52**, 1289-1291, 1997

DOI:10.1070/RM1997v052n06ABEH002161

**Veselov AP, Feigin MV, Chalykh OA** New integrable deformations of the Calogero-Moser quantum problem *Russian Mathematical Surveys*, **51**, 573-574, 1996

DOI:10.1070/RM1996v051n03ABEH002956

**Chalykh OA, Veselov AP** Integrability and Huygens' principle on symmetric spaces *Communications in Mathematical Physics*, **178**, 311-338, 1996

View abstract

**Chalykh OA** Additional integrals of the generalized quantum Calogero-Moser problem *Theoretical and Mathematical Physics*, **109**, 1269-1273, 1996

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**Chalykh OA** Additional integrals of the generalized quantum Calogero-Moser problem *Teoreticheskaya i Matematicheskaya Fizika*, **109**, 28-33, 1996

DOI:10.1007/BF02069885

**Chalykh OA** A construction of commutative rings of differential operators *Mathematical Notes*, **53**, 329-335, 1993

DOI:10.1007/BF01207721

**Chalykh OA, Veselov AP** Integrability in the theory of Schrödinger operator and harmonic analysis *Communications in Mathematical Physics*, **152**, 29-40, 1993

DOI:10.1007/BF02097056

View abstract

**Veselov AP, Styrkas KL, Chalykh OA** Algebraic integrability for the Schrödinger equation and finite reflection groups *Theoretical and Mathematical Physics*, **94**, 182-197, 1993

DOI:10.1007/BF01019330

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**Veselov AP, Chalykh OA** Explicit formulas for spherical functions on symmetric spaces of type AII *Functional Analysis and Its Applications*, **26**, 59-61, 1992

DOI:10.1007/BF01077080

**Chalykh OA, Veselov AP** Commutative rings of partial differential operators and Lie algebras *Communications in Mathematical Physics*, **126**, 597-611, 1990

DOI:10.1007/BF02125702

View abstract

**Chalykh OA** Some properties of polynomial mappings that are connected with Lie algebras *Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika*, 57-59, 1988

Chalykh O; Silantyev A KP hierarchy for the cyclic quiver. *Posted on arXiv: arXiv:1512.08551 [math.QA]*,

View abstract

Chalykh O; Fairon M *Multiplicative quiver varieties and generalised Ruijsenaars-Schneider systems*

View abstract

**Chalykh O, Fairon M** Multiplicative quiver varieties and generalised Ruijsenaars-Schneider models *Journal of Geometry and Physics*

DOI:10.1016/j.geomphys.2017.08.006

View abstract

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