PUBLICATIONS AS OF JAN 2025

RUKMINI DEY

Published in Conference proceedings:

  1. R. Dey, K Ghosh, Berezin-type quantization on even-dimensional compact manifolds; J.Phys.:Conf. Ser. 2667 012003 (2023) – arxiv:2210.08814v5
  2. R. Dey, RKHS, Berezin and Odzijewicz-type quantizations on arbitrary smooth manifolds, to appear in Int. J. Geom. Meth. Mod. Phys. (the Proceedings for the 33rd/35th International Colloquium on Group Theoretical Methods in Physics, Cotonou , Benin, 2024); arxiv: 2405.02838

Published/Accepted for Publication:

  1. R. Dey, R.K. Singh, Interpolation by Maximal Surfaces, to appear in Functional Analysis and Its Applications; longer version in arxiv: 2102.03019
  2. R. Dey, A. Paul, R .K. Singh, CMC surfaces of revolution, Elliptic curves, Weierstrass-P functions, and Algebracity, https://arxiv.org/abs/2405.19742, to appear in archiv der mathematik
  3. R. Dey, K. Ghosh, S. Soundararajan, Finite Decomposition of Minimal surfaces, Maximal surfaces, Time-like Minimal surfaces and Born-Infeld solitons; J. Ramanujan Math. Soc. 38, No. 3 (2023) 225-236– arXiv:2010.04405
  4. R. Dey, Geometric prequantization on moduli space of the Seiberg-Witten equations on product of a Riemann surface; J. Geom. Symmetry Phys. 64, 1-8, (2022) DOI: 10.7546/jgsp-64-2022-1-8; arxiv 2203.15997
  5. R. Dey, K. Ghosh, “Pull back coherent states and squeezed states and quantization” to appear in Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), (2022) – arxiv: 2108.08082
  6. R. Dey, J. Samuel, R. S. Vidyarthi, “Coadjoint orbits and K¨ahler structure: examples from coherent states” , to appear in Reports in Mathematical Physics, (2022)– arXiv 2105.14283
  7. R. Dey, R. Sarma, R. K. Singh, On Euler-Ramanujan formula, Dirichletseries and minimal surfaces, Proc Indian Math Sci 130, 61 (2020); arxiv:1812.01453
  8. R. Dey, P. Kumar, R. K, Singh, Existence of Maximal surface containing given curve and special singularity, J. of Ramanujan Math Soc., 33, no. 4, 455-471, 2018; arxiv: 1612.06757
  9. R. Dey, V. Thakre, Generalized Seiberg-Witten equations on Riemann surface, Jour. Geom. Symm. Phys. vol 45, 47-66, 2017; arxiv: 1502.01486
  10. R. Dey, S. Ganguli, Geometric Quantization of finiteToda systems and coherent states, Jour. Geom. Symm. Phys. vol 44,21-38, 2017; arxiv: 1612.02987.
  11. R. Dey, S. Ganguli The dimension of the Hilbert space of geometric quantization of vortices on a Riemann surface, Int. J. Geom. Methods Mod. Phys., vol 14, no. 10, 1750144., 2017, arxiv: 1606.03810
  12. R. Dey, Geometric Quantization of the Hitchin System, Int. J. Geom. Methods Mod. Phys., 14, no. 4, 1750064 (2017) ; arxiv: 1604.01650
  13. R. Dey, R.K. Singh, Born-Infeld Solitions, maximal sufaces and Ramanujan’s identities, Archiv der Mathematik 108(5), 527-538, (2017); arxiv: 1702.06310
  14. R. Dey, ”Ramanujan’s identities, minimal surfaces and solitons”, Proc. Indian Acad. Sci, 126(3), 421-431, (2016); arxiv 1508.05183
  15. I. Biswas, S. Chatterjee, R. Dey, ”Geometric prequantization on the path space of a prequantized manifold”, IJGMMP, Volume No.12, Issue No. 3, pp 1550030, (2015); arxiv 1411.5716
  16. R. Dey, V. Mathai, ”Holomorphic Quillen determinant bundle on integral compact K¨ahler manifolds”, Quart. J. Math. 64 (2013), 785-794, Quillen Memorial Issue; arXiv:1202.5213v3
  17. R. Dey, P. Kumar, ”One parameter family of solitons from minimal surfaces” Proc. Indian Acad. Sci., vol 123, no.1, pg. 55-65, 2013; arxiv:1204.5875
  18. R. Dey, S. K. Paul, ”Quillen bundle and Geometric Prequantization of NonAbelian Vortices on a Riemann surface” Proc. Indian Acad.Sci. (Math. Sci.) Vol 121, No. 1, (2011), pp 27-35; arXiv:1012.4616
  19. R. Dey, ”Geometric prequantization of the modified Seiberg-Witten equations in 2-dimensions” Adv. Theor. Math. Phys. 13.5 (2009); arXiv:0802.2307
  20. R. Dey, ”HyperK¨ahler prequantization of the Hitchin system and ChernSimons gauge theory with complex gauge group”, Adv. Theor. Math. Phys. 11 (2007) 819-837; math-phy/0605027
    1. R. Dey, ”Geometric prequantization of the moduli space of the vortex equations on a Riemann surface” Journal of Mathematical Physics, vol. 47, issue 10, (2006), page 103501-103508; math-phy/0605025
    2. R. Dey ”Erratum: Geometric prequantization of the moduli space of the vortex equations on a Riemann surface” Journal of Mathematical Phys. 50, 119901 (2009); a modified summary is given in arxiv: 1604.02142
  22. R. Dey ”Geometric quantization of the moduli space of the self-duality equations on a Riemann surface”, Reports on Mathematical Physics, Vol.57, no. 2, (2006) pg. 179-188. math-phy/0605026
  23. R. Dey, ”Quantization of a dimensionally reduced Seiberg-Witten modulispaces” ; Mathematical Physics Electronic Journal, vol 10, (2004), paper no.9, http://www.maia.ub.es/mpej
  24. R. Dey, ”A complete conformal metric of preassigned negative Gaussian curvature for a punctured hyperbolic Riemann surfaces”, Proceedings of Indian Academy of Sciences – Math Sci. Vol.114,No.2, (2004), pg. 141-151; math.AP/0406568.
  25. R. Dey, ”The Weierstrass-Enneper representation using hodographic coordinates on a minimal surfaces” Proceedings of Indian Academy of Sciences – Math.Sci. Vol.113, No.2, May (2003), pg 189-193; math.DG/0309340.
    1. R. Dey ”Symplectic and Hyperk¨ahler structures in dimensional reduction of the Seiberg-Witten equations with a Higgs field”, Reports on Mathematical Physics, vol 50 issue 3 (2002); math.DG/0112219.
    2. R. Dey, ”Addendum: Deformation quantization of a dimensionally reduced Seiberg-Witten moduli space”; Reports on Mathematical Physics, vol 55.3 (2005), pp. 447-450.
  27. I. Biswas, R. Dey, ”Quantization and contact structure on manifolds with projective structure”, Journal of Geometry and Physics, vol 42/4, page 355-369 (2002).
    1. R. Dey ”A variational proof for the existence of a conformal metric with preassigned negative Gaussian curvature for compact Riemann surfaces of genus > 1”
      Proc.Indian.Academy of Sciences, 111 (2001), page 407-414; arxiv: math/0112203
    2. R. Dey ”First erratum”: Proceedings of Indian Academy of Sciences, 113, No. 3, (2003), page 353;
    3. R. Dey ”Second erratum” : Proceedings of Indian Academy of Sciences, 114, No. 2, (2004),page 215.
      R. Dey, ”Fully corrected version”: math.DG/0112203

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