Professor
Department of Mathematical Sciences
📍 AB2 1F11
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Research Area
Commutative Algebra, Algebraic Geometry, Combinatorics
Research Interests
My research interest includes study of moduli spaces of vector bundles and homological properties of combinatorially interesting monomial ideals.I am also interested in the study of the graphical parking function ideals and skeleton ideals associated with finite (multi) graphs and understand their standard monomials. We have characterised the spherical parking functions of certain family of simple rooted graphs in terms of labelled uproot spanning trees.
Since 2020 : Professor, IISER Mohali
2012 - 2020 : Associate Professor, IISER Mohali
2008 - 2012 : Assistant Professor, IISER Mohali
2000 - 2008 : Lecturer/ Assistant Professor, University of Jammu
1992 - 1999 : PhD, TIFR / Mumbai University
1990 - 1992 : MSc. , University of Jammu, Jammu
1987 - 1990 : BSc. , University of Jammu, Jammu
Chanchal Kumar, Invariant vector bundles of rank 2 on hyperelliptic curves, Michigan Math. J., (2000), 575-584.
Chanchal Kumar, Linear systems and quotient of projective spaces, Bulletin London Math. Soc., (2003), 152-160.
Chanchal Kumar, Pavinder Singh and Ashok Kumar, Nearly extremal Cohen-Macaulay and Gorenstein algebras, Bull. Austral. Math. Soc. (2007), 211-220.
Indranil Biswas, Yogesh I. Holla and Chanchal Kumar, On moduli space of parabolic vector bundles of rank 2 over CP1 , Michigan Math. J., (2010), 467-479.
Ashok Kumar and Chanchal Kumar, Multigraded Betti numbers of mutipermutohe- dorn ideals, Journal of Ramanujan Math. Soc., (2013), 1-18.
Ajay Kumar and Chanchal Kumar, Alexander duals of multipermutohedron ideals, Proc. Indian Acad. Sci. (Math. Sci.), (2014), 1-15.
Ajay Kumar and Chanchal Kumar, On integer sequence and standard monomials, Journal of Algebra and Its Applications, (2018), 10 pages.
Chanchal Kumar, Gargi Lather and Sonica, Skeleton ideals of certain graphs, stan-dard monomials and spherical parking functions, Electronic Journal of Combinatorics, (2021), 25 pages.
Chanchal Kumar, Gargi Lather and Amit Roy, Standard monomials of 1-skeleton ideals of graphs and generalized signless Laplacians, Linear Algebra and Its Applica-tions, (2022), 24 pages.