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M. Botnan

12 papers hereh-index 15891 citations34 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author1
  • first author5
  • middle author4
  • last author2

Across the 12 of 12 papers where every author was matched, so the position is known.

fields
  • math.RT4
  • cs.CG2
  • math.AT2
  • cs.LG1
  • math.CO1
  • math.CT1

identity via Semantic Scholar / OpenAlex

activity
20152026
most citedA Relative Theory of Interleavings

5 citations · 5 across the 5 of their papers we have counts for

collaborators
Showing math.ATShow all

2 papers · 1 filter

math.AT2026

Cheeger Inequalities for the Persistent Laplacian

Magnus Bakke Botnan, Rui Dong

We study Cheeger-type inequalities for persistent Laplacians associated with inclusions of simplicial complexes K↪L. We introduce a persistent…

math.AT2024★ 1 cited

The persistent Laplacian of non-branching complexes

Magnus Bakke Botnan, Rui Dong

Non-branching matrices are real matrices with entries in {−1,0,1}, where each row contains at most two non-zero entries. Such matrices naturally arise in the study of Laplacian…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.