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researcher

Michael J. Falk

21 papers hereh-index 171.2k citations38 works total

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

author position
  • sole author4
  • first author8
  • middle author6
  • last author3

Across the 21 of 21 papers where every author was matched, so the position is known.

fields
  • math.CO10
  • math.AG5
  • math.GR2
  • math.GT2
  • alg-geom1
  • cs.LO1

identity via Semantic Scholar / OpenAlex

activity
19942019
most citedCritical points and resonance of hyperplane arrangements

29 citations · 83 across the 18 of their papers we have counts for

collaborators
Showing 2011Show all

2 papers · 1 filter

math.CO2011

The contravariant form on singular vectors of a projective arrangement

Michael J. Falk, Alexander N. Varchenko

We define the flag space and space of singular vectors for an arrangement A of hyperplanes in projective space equipped with a system of weights a: A --> C. We show that the contra…

math.GR2011★ 9 cited

Pure braid groups are not residually free

Daniel C. Cohen, Michael Falk, Richard Randell

We show that the Artin pure braid group on at least four strands is not residually free. Our results also show that the pure braid group on at least three strands has corank two.

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