Title: Invariant theory, tensors and computational complexity
Adviser: Harm Derksen
Institution: University of Michigan
Graduation Date: April 2018
My name is Visu Makam. I am a postdoctoral researcher at the Institute for Advanced Study at Princeton, where my mentor is Avi Wigderson. I received my Ph.D. in mathematics at the University of Michigan in April 2018 under the direction of Harm Derksen.
My research is at the interface of mathematics and theoretical computer science, broadly falling under the purview of invariant theory, representation theory, tensors and complexity. More specifically, I develop and use tools from abstract algebraic subjects to tackle problems in tensors, complexity and other areas of theoretical computer science.
My overarching goal in teaching is to teach the students how to think rather than what to think.
More barriers for rank methods, via a "numeric to symbolic" transfer, Ankit Garg, Visu Makam, Rafael Oliveira and Avi Wigderson, FOCS 2019Link to PDF
Polynomial degree bounds for matrix semi-invariants, Harm Derksen and Visu Makam, Advances in Mathematics, 13 April 2017Link to PDF
Singular tuples of matrices is not a null cone (and, the symmetries of algebraic varieties), Visu Makam and Avi Wigderson, arXiv preprint, 2019Link to PDF
Keywords: polynomial identity testing, algebraic complexity, geometric complexity theory, invariant theory, tensors