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Joshua A. Grochow

48 papers hereh-index 222.6k citations84 works total

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

author position
  • sole author5
  • first author21
  • middle author16
  • last author5

Across the 47 of 48 papers where every author was matched, so the position is known.

fields
  • cs.CC23
  • cs.DS9
  • math.GR3
  • cs.IT2
  • cs.LO2
  • math.CO2
same name
  • Joshua A. Grochow — 3 papers, h 1
  • Joshua A. Grochow — 1 paper
  • Joshua A. Grochow — 1 paper, h 1

Either other researchers who publish under this name, or the same person where the external sources have not merged their records.

identity via Semantic Scholar / OpenAlex

activity
20092026
most citedOn cap sets and the group-theoretic approach to matrix multiplication

90 citations · 330 across the 36 of their papers we have counts for

collaborators
Showing math.GRShow all

3 papers · 1 filter

math.GR2024

Finite matrix multiplication algorithms from infinite groups

Jonah Blasiak, Henry Cohn, Joshua A. Grochow +2

The Cohn-Umans (FOCS '03) group-theoretic framework for matrix multiplication produces fast matrix multiplication algorithms from three subsets of a finite group G satisfying a s…

math.GR2022★ 2 cited

Matrix multiplication via matrix groups

Jonah Blasiak, Henry Cohn, Joshua A. Grochow +2

In 2003, Cohn and Umans proposed a group-theoretic approach to bounding the exponent of matrix multiplication. Previous work within this approach ruled out certain families of grou…

math.GR2017

Which groups are amenable to proving exponent two for matrix multiplication?

Jonah Blasiak, Thomas Church, Henry Cohn +2

The Cohn-Umans group-theoretic approach to matrix multiplication suggests embedding matrix multiplication into group algebra multiplication, and bounding ω in terms of the repres…

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