Ajay Singh Thakur

Dr. Ajay Singh Thakur is an Associate Professor in the Department of Mathematics and Statistics at Indian Institute of Technology Kanpur. Holding a PhD from The Institute of Mathematical Sciences, Chennai, he has built a robust research profile in Algebraic Topology and Complex Manifolds.

Education

• PhD, The Institute of Mathematical Sciences, Chennai

Research Interests

Dr. Thakur’s work spans the intricate realms of Algebraic Topology and Complex Manifolds, with particular emphasis on characteristic classes, vector bundles, and the geometric structures underlying complex and real manifolds. His investigations often involve the interplay between topological invariants and complex-analytic properties, leading to insights that bridge algebraic topology with complex geometry.

Publication Themes

Across more than a dozen publications from 2011 to 2023, his research has consistently focused on the topology of vector bundles, characteristic classes (Stiefel–Whitney, Chern, Euler), and complex structures on manifolds. The body of work highlights both theoretical advances and explicit computations over spaces such as Stiefel manifolds, projective spaces, and generalized Calabi–Eckmann manifolds.

Awards & Fellowships

• DST-INSPIRE Faculty Fellowship (2013)
• UGC-CSIR JRF Fellowship (2005)
• NBHM PhD Fellowship (2005)
• NBHM MSc Fellowship (2004)

Professional Experience & Grants

• DST-INSPIRE Faculty, Indian Statistical Institute Bangalore (Feb 2014 – Jan 2017)
• Post-doctoral fellowships at Haifa University, Israel; TIFR Mumbai; and ISI Bangalore

Research Group

He is an active member of the Topology research group at IIT Kanpur, contributing to the vibrant academic and collaborative environment.