Assistant Professor
Department of Mathematical Sciences
📍 AB2 1F1
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Research Area
Algebraic Geometry, Motives.
Research Interests
I have been interested in the theory of motives a la Grothendieck and a la Voevodsky. I have been particularly interested in those motives that are natural in the study of Shimura varieties, but many of my constructions are applicable to arbitrary varieties. My work includes construction of specific weight truncations in the motivic categories, and in turn has consequences for Shimura varieties. I have also proposed new ways to glue t-structures and weight structures which has broader applications.
Since 2024 : Chief Examination Coordinator, Mathematics Teachers Association (India)
2012 - 2013 : Post Doctoral Fellow, IMSc Chennai
2013 - 2014 : Post Doctoral Fellow, University of Zurich
2015 - 2015 : Post Doctoral Fellow, ENS Lyon
2016 - 2019 : INSPIRE Faculty Fellow, ISI Bangalore.
2007 - 2012 : PhD, TIFR Mumbai
2005 - 2007 : MSc (Mathematics), TIFR Mumbai
2000 - 2024 : BTech (EE), IIT Kanpur
Best Teacher's Award, IISER Mohali. 2022
Associate Member (for Olympiad related activities), NBHM. 2017-2023
INSPIRE Faculty Fellowship, of Dept. of Science and Technology (DST), Govt. of India. 2016-2022
TAA Harish-Chandra Memorial Award for best PhD Thesis (Mathematics), TIFR. 2013
Shyama Prasad Mukherjee (SPM) Fellowship, of CSIR, Govt. of India. 2006-2011
Director’s Gold Medal, Indian Institute of Technology (IIT) Kanpur. 2004
TCS award for best B.Tech. Project, IITK. 2004
Aditya Birla Scholarship, of Aditya Birla Group. 2000-2004
Silver Medals at International Mathematics Olympiad (IMO). 1999 (Romania) and 2000 (South Korea)
Gold Medal at Indian National Physics Olympiad (INPhO). 2000
NTSE Scholar, 1998.
Vaibhav Vaish. Punctual gluing of t-structures and weight structures. manuscripta mathematica 162(3-4):341–366, 2020.
Vaibhav Vaish. Motivic Intersection Complex of Certain Shimura varieties. arXiv preprint arXiv:1801.09243, 2018.
Vaibhav Vaish. On weight truncations in the motivic setting. Advances in Mathematics 338:339–400, 2018.
Vaibhav Vaish. Motivic weightless complex and the relative Artin motive. Advances in Mathematics 292:316–373, 2016.
Arvind N Nair and Vaibhav Vaish. Weightless cohomology of algebraic varieties. Journal of Algebra 424:147–189, 2015.
Santanu Mahapatra, Vaibhav Vaish, Christoph Wasshuber, Kaustav Banerjee and Adrian Mihai Ionescu. Analytical modeling of single electron transistor for hybrid CMOS-SET analog IC design. IEEE Transactions on Electron Devices 51(11):1772–1782, 2004.