IIT Kanpur | Department of Mathematics and Statistics

Ajay Singh Thakur                                                                                                                                                                      

Assistant Professor
Department of Mathematics and Statistics    
Indian Institute of Technology Kanpur
Kanpur 208016, INDIA.

Email: asthakur[AT]iitk.ac.in

Office Phone: +91 512 259 7287

Research Interest: Algebraic Topology, Complex Manifolds.

Education:
  • Ph.D - The Institute of Mathematical Sciences Chennai, 2011.
                   -Advisor: Prof. Parameswaran Sankaran
                   -Thesis Title: Complex Structures on Product of Circle Bundles over Compact Complex Manifolds.             
  • M.Sc - Mumbai University, 2005.

  • B.Sc - Mumbai University, 2003.

Experiences:
  • DST-INSPIRE Faculty Fellow at ISI Bangalore, January 2014 - January 2017.
  • Post-Doc at Haifa University-Israel, April 2013 - January 2014.
  • Post-Doc at TIFR Mumbai, September 2012 - March 2013.
  • Post-Doc at ISI Bangalore, September 2011 - September 2012.

Publications:
  1. Parameswaran Sankaran and Ajay Singh Thakur: Complex structures on product of circle bundles over complex manifolds,  C. R.  Math. Acad. Sci. Paris, 349 (2011) 437- 439.

  2. Július Korbaš, Aniruddha C. Naolekar and Ajay Singh Thakur: Characteristic rank of vector bundles over Stiefel manifolds,   Archiv der Mathematik (Basel), 99 (2012), 577-581.  

  3.  Ajay Singh Thakur: On trivialities of Stiefel-Whitney classes of vector bundles over iterated suspensions of Dold manifolds,  Homology, Homotopy and  Applications, 15 (2013), 223-233. 

  4. Parameswaran Sankaran and Ajay Singh Thakur: Complex structures on product of circle bundles over complex manifolds,  Ann. Inst. Fourier (Grenoble), 63 (2013), no. 4, 1331-1366. 

  5. Aniruddha C. Naolekar and Ajay Singh Thakur: Vector bundles over iterated suspensions of stunted real projective spaces.  Acta Math. Hungar.  142 (2014),  pp 339-347.

  6. Indranil Biswas, Mahan Mj and Ajay Singh Thakur: Infinitesimal deformations and Brauer group of some generalized Calabi-Eckmann manifolds. Tokyo J. of Math. Volume 37, Number 1 (2014), 61-72. 

  7. Aniruddha C. Naolekar and Ajay Singh Thakur: On trivialities of Chern classes.  Acta Math. Hungar., 144(1) (2014), pp 99-109.

  8. Aniruddha C. Naolekar and Ajay Singh Thakur: Note on the characteristic rank of Vector bundles,  Math. Slovaca, 64(6) (2014), pp 1525-1540.

  9. Prateep Chakraborty and Ajay Singh Thakur: Nonexistence of Almost Complex Structures on the product  S2m x M.  Topology and its applications, 199 (2016), pp. 102-110. 

  10. Prateep Chakraborty and Ajay Singh Thakur: On Stiefel-Whitney classes of vector bundles over real Stiefel manifolds,   Top. Proc. 52 (2018) pp. 309-319. 

  11. Mainak Poddar and Ajay Singh Thakur: Group actions, non-Kähler complex manifolds and SKT-Structures.  Complex manifolds  5 (2018), Issue 1, pp. 9-25. 

  12. Aniruddha C. Naolekar and Ajay Singh Thakur: Euler classes of vector bundles over iterated suspensions of real projective spaces,  Math. Slovaca 68 (2018), No. 3, pp. 677-684.  
  13. Aniruddha C. Naolekar and Ajay Singh Thakur: KO-groups of stunted complex and quaternionic projective spaces. In: Singh M., Song Y., Wu J. (eds) Algebraic Topology and Related Topics. Trends in Mathematics (2019), Birkhäuser.

  14. Aniruddha C. Naolekar, B. Subhash and Ajay Singh Thakur: On Trivialities of Euler classes of oriented vector bundles over manifolds. To appear in Homology, Homotopy and Applications.