Visu Makam

I am a fifth year graduate student in the Department of Mathematics at the University of Michigan. I am advised by Prof. Harm Derksen. Prior to joining grad school, I spent my undergraduate years at Chennai Mathematical Institute, where I obtained B.Sc with Honors in Mathematics and Computer Science.

My research interests are in
  • Representation theory
  • Invariant theory
  • Tensors
  • Algebraic complexity
  • Papers and Preprints

  • Invariant theory and Wheeled PROPs
    Harm Derksen and Visu Makam (in preparation)

  • Highly entangled tensors
    Harm Derksen and Visu Makam (arXiv preprint)

  • Weyl's polarization theorem for matrix semi-invariants in positive charateristic
    Harm Derksen and Visu Makam (arXiv preprint)

  • Algorithms for orbit closure separation for invariants and semi-invariants of matrices
    Harm Derksen and Visu Makam (arXiv preprint)

  • On the tensor rank of \(3 \times 3 \) permanent and determinant
    Siddharth Krishna and Visu Makam (arXiv preprint)

  • Extensions between Verma modules for dihedral groups
    Gurbir Dhillon and Visu Makam (arXiv preprint)

  • Explicit tensors of border rank \(2d-2\) in \(K^d \otimes K^d \otimes K^d\) in arbitrary characteristic
    Harm Derksen and Visu Makam (arXiv preprint)

  • Degree bounds for semi-invariant rings of quivers
    Harm Derksen and Visu Makam (arXiv preprint)

  • Generating invariant rings of quivers in arbitrary characteristic
    Harm Derksen and Visu Makam
    J. Algebra 489 (2017): 435-445.

  • On non-commutative rank and tensor rank
    Harm Derksen and Visu Makam
    Linear and Multilinear algebra, published online (2017).

  • Polynomial degree bounds for matrix semi-invariants
    Harm Derksen and Visu Makam
    Advances in Mathematics 310 (2017): 44-63.

  • Hilbert series and degree bounds for matrix (semi)-invariants
    Visu Makam
    J. Algebra 454 (2016): 14-28.

    Talks