Patil Dilipkumar Premchand

Distinguished Professor

Education

Ph. D.

Social Media

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

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

Authored Books

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)
(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.