Honorary Professor
Department of Mathematical Sciences
📍 1F4 in AB-2
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Research Area
Algebraic Number Theory and Valuation Theory
Research Interests
I am mainly interested in valuations, specially in their applications to algebraic number theory and other basic problems of algebra like discovering criteria for irreducibility of polynomials. I along with my collaborators have used prolongations of valuations to simple transcendental extensions to generalise the classical Eisenstein-Dumas Irreducibility Criterion, Schonemann Irreducibility Criterion, Hensel’s Lemma, Ehrenfeucht’s Irreducibility Criterion. I also worked on the invariants associated with irreducible polynomials with coefficients in Henselian valued fields using saturated distinguished chains. Currently, I am exploring the possibility of applying these invariants to some other problems in algebra. I have been interested in the problem of computing integral basis and discriminant of classes of algebraic number fields defined by irreducible polynomials with integer coefficients.
Since 2017 : Emeritus Professor, Department of Mathematics Panjab University, Chandigarh
1978 - 1986 : Lecturer , Dept. of Mathematics, Panjab University, Chandigarh
1986 - 1998 : Reader, Dept. of Mathematics, Panjab University, Chandigarh
1998 - 2010 : Professor, Dept. of Mathematics, Panjab University, Chandigarh
2011 - 2015 : Professor, Dept. of Mathematical Sciences, IISER Mohali
2016 - 2016 : Visiting Professor, , Dept. of Mathematical Sciences, IISER Mohali.
2016 - 2019 : INSA Senior Scientist, Dept. of Mathematical Sciences, IISER Mohali
2019 - 2020 : CSIR Emeritus Scientist , Dept. of Mathematical Sciences, IISER Mohali
2020 - 2022 : INSA Senior Scientist, Dept. of Mathematical Sciences, IISER Mohali
Since 2022 : INSA Honorary Scientist, Dept. of Mathematical Sciences, IISER Mohali
Since 2017 : Emeritus Professor, Dept. of Mathematics, Panjab University, Chandigarh
1973 - 1978 : PhD(Mathematics), Panjab University, Chandigarh
1971 - 1973 : M.A. (Mathematics), Panjab University, Chandigarh
1968 - 1971 : B.A. (Mathematics), Panjab University, Chandigarh
• Srinivasa Ramanujan Medal of Indian National Science Academy (2022).
• 2) Delivered S. Ramanujan Memorial Award Lecture during the 88th Annual Conference of the Indian Mathematical Society held from December 27-30, 2022 at Ranchi.
• 3) Fellow of The World Academy of Sciences (TWAS ) (2016).
• 4) Distinguished Alumnus Award by Panjab University Alumni Association (2016).
• 5) Professor V V Narlikar Memorial Lecture Award of INSA (2015).
• 6) Fellow of Indian Academy of Sciences (IAS ) (2010).
• 7) Fellow of Indian National Science Academy (INSA ) (2005).
• 8) Fellow of National Academy of Sciences (NASI ) (2003).