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Patil Dilipkumar Premchand

Distinguished Professor

Department of Mathematics

GITAM School of Science

Bengaluru

Education

Ph. D.

With an experience of over four decades in the field of mathematics and over three decades in teaching the subject, I have charted an interesting path. The highlights of my path are enlisted under the profile.

Research Publications

  • [1] (with Balwant Singh) : Remarks on maximally differential prime ideals, J. Algebra 83 (1983), no. 2, 387-92. MR0714251 (85b : 13042)
  • [2] Certain monomial curves are set-theoretic complete intersections, Manuscripta Math. 68 (1990), no. 4, 399-404. MR1068263 (91g : 14048)
  • [3] (with Roberts, L.) : Hilbert functions of monomial curves, J. Pure and Appl. Algebra, 183 (2003), no. 1-3, 275-292. MR1992049 (2004d : 13023)
  • [4] (with Tamone, G.) : CM-defect and Hilbert functions of monomial curves, J. Pure Appl. Algebra 215 (2011), no. 7, 1539-1551. MR2771628 (2012b:14034)
  • [5] (with Jugal Verma) : Rational Points and generalized trace forms on a finite algebra over a real closed field, Commutative algebra, 669–687, (Editor : Prof. Irena Peeva), Springer, 2021. https://doi.org/10.1007/978-3-030-89694-2 MR4394425

Expertise

  • Check Icon DAAD Project (1999-2002) with Ruhr University, Bochum and Leipzig University, Leipzig, Germany
  • Check Icon DST Matrics Project ( MTR/2017/000346/MS) 2018-2021

Authored Books

  • Check Icon Lectures on results on Bezout’s Theorem, Lecture on Mathematics and Physics, 74, Springer- Verlag, Verlag, Berlin-New York, 1984, vi + 132 pp. ISBN 3-540-12679-1. (86f : 14003)
  • Check Icon (with Storch) : Introduction to Algebraic Geometry and Commutative Algebra, IISc Lecture Notes Series, No. 1, IISc Press/World Scientific Publications Singapore / Chennai, 2010, pp. x + 207, ISBN-13 978-981-4304-56-6, —Indian Edition Published by Cambridge University press India Pvt. Ltd. 2012, pp. x+209, ISBN 978-981-4307-58-1.
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