These are some of the things I have written over the past few years, all preprints are on the arXiv.

Papers

Published

  1. The point variety of quantum polynomial rings, joint with Kevin De Laet and Lieven Le Bruyn (arXiv:1509.07312),
    published in Journal of Algebra, volume 463, 10–22
  2. Embeddings of algebras in derived categories of surfaces, joint with Theo Raedschelders (arXiv:1501.04197),
    published in Proceedings of the American Mathematical Society, volume 145, number 7, 2757–2770
  3. Relative tensor triangular Chow groups for coherent algebras, joint with Sebastian Klein (arXiv:1607.03423)
    published in Journal of Algebra, volume 487, 386–428

Accepted for publication

  1. Constructing noncommutative surfaces with exceptional collections of length 4, joint with Dennis Presotto (arXiv:1705.06943), accepted for publication in Journal of the London Mathematical Society

Preprints

  1. Derived categories of noncommutative quadrics and Hilbert schemes, joint with Theo Raedschelders (arXiv:1605.02795)
  2. Hochschild cohomology of noncommutative planes and quadrics (arXiv:1705.06098)
  3. Examples violating Golyshev's canonical strip hypothesis, joint with Sergey Galkin and Swarnava Mukhopadhyay (available on request, will be on the arXiv soon, see also the related repositories 1 and 2)
  4. Derived categories of moduli spaces of higher rank vector bundles on curves, joint with Swarnava Mukhopadhyay (available on request, will be on the arXiv soon)

In preparation

  1. Comparing two constructions of a noncommutative del Pezzo surface, joint with Dennis Presotto and Michel Van den Bergh
  2. Derived categories and deformations of Hilbert squares (preliminary title), joint with Lie Fu and Theo Raedschelders
  3. Artin–Schelter regular algebras versus smooth projective varieties (very preliminary version, maybe to be rewritten with stronger results)

Reviews

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Notes

You might also be interested in the 'math' category of my blog.

2017

2016

2015

2014

2013

Non-mathematical writing