## Visu Makam

I will be joining as a member with the School of Mathematics at the Institute for Advanced Study starting Sep 2018. I got my Ph.D from the Department of Mathematics at the University of Michigan in April 2018. My advisor was 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)

• Degree lower bounds for invariant rings via Grosshans principle
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
Linear and Multilinear Algebra (published online)

• Degree bounds for semi-invariant rings of quivers
Harm Derksen and Visu Makam
J. Pure and Applied Algebra 222 (2018), no.10 : 3282-3292.

• 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 66 (2018), no.6: 1069-1084.

• 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.