Ashis Mandal

Ashis Mandal is an Associate Professor in the Department of Mathematics and Statistics at Indian Institute of Technology Kanpur. He specializes in algebraic topology, deformation theory of algebraic structures, and operads, contributing extensively to these fields through research and teaching.

Education

• PhD, Mathematics (2008), Indian Statistical Institute, Kolkata — Thesis: Versal deformations of Leibniz algebras under Prof. Goutam Mukherjee
• M.Sc., Pure Mathematics (2002), University of Calcutta
• B.Sc., Mathematics (2000), University of Calcutta

Research Interests

His work spans a rich intersection of algebraic topology, deformation theory, and homological algebra. Key areas include:

• Hom-Lie-Rinehart algebras and their deformations
• Operads and higher algebraic structures
• Leibniz algebras and cohomology
• Hom-Gerstenhaber algebras and Courant algebras

Research Trends

Mandal’s publications reflect a consistent trajectory in exploring algebraic deformations and homological structures. His 2019 and 2018 works delve into hom-Lie-Rinehart and Gerstenhaber algebras, expanding the theoretical framework. Earlier works (2007–2013) laid foundational insights into Leibniz algebras and their cohomological properties. The research spans pure algebra, category theory, and mathematical physics.

Awards & Fellowships

• MATRICS Grant (2019) — SERB, DST, India (3-year research grant)
• AFR Postdoctoral Fellowship (2010) — Luxembourg National Research Fund
• N.B.H.M. Postdoctoral Fellowship (2009) — National Board for Higher Mathematics, India
• C.S.I.R. Research Associateship (2009) — Council of Scientific & Industrial Research, India
• JRF & Lectureship Eligibility (2002–2003) — CSIR-UGC NET, Indian Statistical Institute

Research Groups & Collaborations

He leads and collaborates in several interdisciplinary research groups:

• Lie algebroids over algebraic spaces — with Abhishek Sarkar
• Higher structures — with Apurba Das
• Quadratic Lie and Leibniz algebras — with Alice Fialowski
• Hom-Algebraic structures — with Satyendra Kumar Mishra

Contact

Office: FB 523, Department of Mathematics and Statistics, IIT Kanpur, Kanpur-208016, India
Phone: +91-512-259-6783
Email: amandal@iitk.ac.in