Welcome! I am Amit Kuber, a mathematician working as an Associate Professor at the Department of Mathematics and Statistics, IIT Kanpur. During Masters studies at University of Pune and University of Cambridge, I developed interest in combinatorics, category theory and topos theory. Later I applied some of these techniques to solve some problems on the interface of model theory and K-theory during my PhD at University of Manchester under the supervision of Prof. Mike Prest.
My current research interests lie in the combinatorial aspects of representation theory of finite-dimensional associative algebras, order theory and K-theory of model-theoretic structures. No matter what problem I work on, as an admirer of symmetry, analogy and generalisation, my intuition leads me to analyzing combinatorial structures while using categorical framework/language. The list of my publications can be found here. I love giving talks and an extensive list of my talks can be found here.
I enjoy students' company. I have taught variety of courses and supervised a number of projects on variety of topics ranging from Pokémon to K-theory. I believe that the ability to present mathematics (in written and oral) is as important as understanding it and producing new results.
My email id is askuber at iitk dot ac dot in and my institute webpage can be found here.
Announcement: Enrolment will be open soon for my NPTEL course on Set Theory and Mathematical Logic starting in January 2025.
The works and philosophy of Alexander Grothendieck has always been a guiding light for me.