2 citations · 3 across the 4 of their papers we have counts for
15 papers
Polystability in positive characteristic and degree lower bounds for invariant rings
Harm Derksen, Visu Makam
We develop a representation theoretic technique for detecting closed orbits that is applicable in all characteristics. Our technique is based on Kempf's theory of optimal subgroups…
Polynomial time algorithms in invariant theory for torus actions
Peter Bürgisser, M. Levent Doğan, Visu Makam +2
An action of a group on a vector space partitions the latter into a set of orbits. We consider three natural and useful algorithmic "isomorphism" or "classification" problems, name…
Maximum likelihood estimation for matrix normal models via quiver representations
Harm Derksen, Visu Makam
In this paper, we study the log-likelihood function and Maximum Likelihood Estimate (MLE) for the matrix normal model for both real and complex models. We describe the exact number…
Search problems in algebraic complexity, GCT, and hardness of generator for invariant rings
Ankit Garg, Christian Ikenmeyer, Visu Makam +3
We consider the problem of computing succinct encodings of lists of generators for invariant rings for group actions. Mulmuley conjectured that there are always polynomial sized su…
Singular tuples of matrices is not a null cone (and, the symmetries of algebraic varieties)
Visu Makam, Avi Wigderson
The following multi-determinantal algebraic variety plays a central role in algebra, algebraic geometry and computational complexity theory: , consisting of all $…
Invariant theory and wheeled PROPs
Harm Derksen, Visu Makam
We study the category of wheeled PROPs using tools from Invariant Theory. A typical example of a wheeled PROP is the mixed tensor algebra , whe…