nLab Vin de Silva

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Selected writings

Introducing zigzag persistence, connecting persistent homology to quiver representation-theory, re-proving Gabriel's theorem for the case of A-type quivers and introducing the diamond principle:

• Gunnar Carlsson, Vin de Silva, Zigzag Persistence, Found Comput Math 10 (2010) 367–405 $[$arXiv:0812.0197, doi:10.1007/s10208-010-9066-0$]$

and applied to level sets:

• Gunnar Carlsson, Vin de Silva, Dmitriy Morozov, Zigzag persistent homology and real-valued functions, in: SCG ‘09: Proceedings of the twenty-fifth annual symposium on Computational geometry (2009) 247–256 $[$doi:10.1145/1542362.1542408$]$

• Gunnar Carlsson, Vin de Silva, Sara Kališnik, Dmitriy Morozov, Parametrized Homology via Zigzag Persistence, Algebr. Geom. Topol. 19 (2019) 657-700 $[$arXiv:1604.03596, doi:10.2140/agt.2019.19.657$]$

On persistence modules and stability of persistence diagrams:

• Frédéric Chazal, Vin de Silva, Marc Glisse, Steve Oudot, The structure and stability of persistence modules, SpringerBriefs in Mathematics, Springer (2016) $[$arXiv:1207.3674, doi:10.1007/978-3-319-42545-0$]$

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