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Ashis Mandal
PhD (ISI Kolkata)
Assistant Professor, Department of Mathematics and Statistics
Research Interest
Algebraic Topology, Deformation theory of algebraic structures, Operads and related fields
FB 523
Department of Mathematics and Statistics
Indian Institute of Technology Kanpur
Kanpur- 208016
India
Specialization
Algebraic Topology, Deformation theory of algebraic structures, Operads and related fields
Education
PhD, Mathematics, 2008, Indian Statistical Institute, Kolkata.Versal deformations of Leibniz algebrasProf. Goutam Mukherjee
M.Sc., Pure Mathematics, 2002, University of Calcutta.
B. Sc., Mathematics, 2000, University of Calcutta.
Teaching Area
Algebra
Geometry
Topology
Real and Complex Analysis
Selected Publications
Ashis Mandal and Satyendra Kumar Mishra: Deformation of hom-Lie-Rinehart algebras, DOI: 10.1080/00927872.2019.1698588; Communications in Algebra, 2019
Ashis Mandal and Satyendra Kumar Mishra: Hom-Gerstenhaber algebras and hom-Lie algebroids, Journal of Geometry and Physics, 133: 287-- 302, 2018.
Ashis Mandal and Satyendra Kumar Mishra: Hom-Lie-Rinehart algebras, Communications in Algebra, 46, no.9, 3722 -- 3744, 2018
Ashis Mandal: On Exact Courant Algebras, Communications in Algebra, 44, no. 5, 2058 --2066, 2016.
Alice Fialowski, Louis Magnin and Ashis Mandal: About Leibniz cohomology and deformations of Lie algebras, Journal of Algebra, 383: 63-77, 2013.
David Khudaverdyan, Ashis Mandal and Norbert Poncin: Higher categoried algebras versus bounded homotopy algebras, Theory and Applications of Categories, 25(10): 251{275, 2011
Alice Fialowski, Ashis Mandal and Goutam Mukherjee: Versal deformations of Leibniz algebras, Journal of K-Theory, 3(2): 327-- 358, 2009.
Ashis Mandal and Goutam Mukherjee: Deformation of Leibniz algebra morphisms over commutative local algebra base, Communications in algebra, 37(7): 2246-- 2266, 2009
Alice Fialowski and Ashis Mandal: Leibniz algebra deformations of a Lie algebra, Journal of Mathematical Physics, 49, 093511, 2008.
Ashis Mandal: An example of constructing Versal deformations for Leibniz algebras, Communications in Algebra, 36 (6): 2233-2253, 2008.
Ashis Mandal: Deformation of Leibniz algebra morphisms, Homology, Homotopy and Applications, 9 (1): 439-- 450, 2007.
Awards & Fellowships
MATRICS -Research grant for three years by SERB, DST in 2019.
AFR postdoctoral fellowship grant PDR-09062 in 2010.
N.B.H.M. Postdoctoral Fellowships in Mathematics in 2009.
C.S.I.R. Research Associateship in Mathematical Sciences in 2009.
Junior Research Fellowship in Mathematics of Indian Statistical Institute in 2003
Joint C.S.I.R-U.G.C. Junior Research Fellowship (JRF) in Mathematical Sciences and Eligibility for Lectureship in 2002.
Extra Curricular Activities
Reviewer for Mathscinet (AMS) and referee for some of the Mathematics journals.
Keywords
Lie algebroids over algebraic spaces, Hom-algebraic structures, Cohomology and Deformation theory of algebraic structures
Research Group
Lie algebroids over algebraic spaces: Ashis Mandal and Abhishek Sarkar
Higher structures: Ashis Mandal and Apurba Das
Quadratic Lie and Leibniz algebras: Alice Fialowski and Ashis Mandal
Hom-Algebraic structures: Ashis Mandal and Satyendra Kumar Mishra
Professional Experience
April 2012 -- April 2013: Visiting Scientist; Statistics and Mathematics Unit, Indian Statistical Institute, Kolkata, India.
March 2010 -- March 2012: Postdoctoral researcher, Mathematics Research Unit, University of Luxembourg, Luxembourg.
July 2009 -- February 2010: Visiting faculty; School of Mathematical Sciences, National Institute of Science Education and Research, (N.I.S.E.R) Bhubaneswar, Orissa, India.
April 2009 -- July 2009: Research Associate under C.S.I.R. fellowship; Statistics and Mathematics Unit, Indian Statistical Institute, Kolkata India.
January 2009 -- March 2009: Visiting Scientist; Statistics and Mathematics Unit, Indian Statistical Institute, Kolkata, India.