Research
The secret to doing good research is to always be a little underemployed. You waste years by not being able to waste hours - Amos Tversky
Research
The secret to doing good research is to always be a little underemployed. You waste years by not being able to waste hours - Amos Tversky
(If you have time for only one paper, look at Two Lives.)
A Matrix Trilogy
Two lives: Compositions of Unimodular rows, Advances in Mathematics 389 (2021), 107917. [arXiv]
When multiple research areas evolve around the same object, one expects that there is a connection between them. The more distinct the methods are, the more fruitful this connection will be. In this paper, we will explore this double life for unimodular rows.
Embeddings of Quadratic Spaces, Documenta Math. 23 (2018) 1621 - 1634
On Suslin matrices and their connection to Spin Groups, Documenta Math. 20(2015) 531 -550. [arXiv]
Noncommutative rings
Centrality and partition of idempotents [preprint]
A partition of finite rings makes lifting possible [preprint]
Sorry, the nilpotents are in the center [preprint]
Maximum number of solutions of xq = x in a finite noncommutative algebra, Journal of Algebra and its applications, Volume 11, Number 5, 2012.
Microeconomics
Two values are sufficient for choice consistency [preprint]