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researcher

A. Knutson

15 papers hereh-index 264k citations93 works total

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

author position
  • sole author5
  • first author7
  • last author3

Across the 15 of 15 papers where every author was matched, so the position is known.

fields
  • math.AG6
  • math.CO4
  • math.SG3
  • math.RA1
  • math.RT1

identity via Semantic Scholar / OpenAlex

activity
19982010
most citedPositroid varieties I: juggling and geometry

63 citations · 133 across the 10 of their papers we have counts for

collaborators
Showing 2009Show all

3 papers · 1 filter

math.AG2009★ 63 cited

Positroid varieties I: juggling and geometry

Allen Knutson, Thomas Lam, David E Speyer

While the intersection of the Grassmannian Bruhat decompositions for all coordinate flags is an intractable mess, the intersection of only the {\em cyclic shifts} of one Bruhat dec…

math.AG2009★ 5 cited

Frobenius splitting and Möbius inversion

Allen Knutson

We show that the fundamental class in K-homology of a Frobenius split scheme can be computed as a certain alternating sum over irreducible varieties, with the coefficients computed…

math.AG2009★ 3 cited

Compatibly Frobenius split subschemes are rigid

Allen Knutson

Schwede proved very recently in arXiv:0901.1154 that in a quasiprojective scheme X with a fixed Frobenius splitting, there are only finitely many subschemes {Y} that are compatibly…

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