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Gunnar E. Carlsson - Author Profile - zbMATH Open

Topology and data. Zbl 1172.62002
Carlsson, Gunnar

2009

Computing persistent homology. Zbl 1069.55003
Zomorodian, Afra; Carlsson, Gunnar

2005

The theory of multidimensional persistence. Zbl 1187.55004
Carlsson, Gunnar; Zomorodian, Afra

2009

Zigzag persistence. Zbl 1204.68242
Carlsson, Gunnar; de Silva, Vin

2010

On the local behavior of spaces of natural images. Zbl 1477.68463
Carlsson, Gunnar; Ishkhanov, Tigran; De Silva, Vin; Zomorodian, Afra

2008

Equivariant stable homotopy and Segal’s Burnside ring conjecture. Zbl 0586.55008
Carlsson, Gunnar

1984

Persistence barcodes for shapes. Zbl 1092.68688
Carlsson, Gunnar; Zomorodian, Afra; Collins, Anne; Guibas, Leonidas J.

2005

Zigzag persistent homology and real-valued functions. Zbl 1380.68385
Carlsson, Gunnar; de Silva, Vin; Morozov, Dmitriy

2009

Characterization, stability and convergence of hierarchical clustering methods. Zbl 1242.62050
Carlsson, Gunnar; Mémoli, Facundo

2010

Topology of viral evolution. Zbl 1292.92014
Chan, Joseph Minhow; Carlsson, Gunnar; Rabadan, Raul

2013

Topological pattern recognition for point cloud data. Zbl 1398.68615
Carlsson, Gunnar

2014

Controlled algebra and the Novikov conjectures for \(K\)- and \(L\)-theory. Zbl 0838.55004
Carlsson, Gunnar; Pedersen, Erik Kjær

1995

G. B. Segal’s Burnside ring conjecture for \((Z/2)^k\). Zbl 0504.55011
Carlsson, Gunnar

1983

On the rank of Abelian groups acting freely on \((S^n)^k\). Zbl 0517.57020
Carlsson, Gunnar

1982

Classifying clustering schemes. Zbl 1358.62057
Carlsson, Gunnar; Mémoli, Facundo

2013

A counterexample to a conjecture of Steenrod. Zbl 0477.55007
Carlsson, Gunnar

1981

The ring of algebraic functions on persistence bar codes. Zbl 1420.55017
Adcock, Aaron; Carlsson, Erik; Carlsson, Gunnar

2016

Computing multidimensional persistence. Zbl 1273.68416
Carlsson, Gunnar; Singh, Gurjeet; Zomorodian, Afra

2009

On homological coherence of discrete groups. Zbl 1057.22013
Carlsson, Gunnar; Goldfarb, Boris

2004

The theory of multidimensional persistence. Zbl 1188.55001
Carlsson, Gunnar; Zomorodian, Afra

2007

Stable homotopy and iterated loop spaces. Zbl 0865.55006
Carlsson, Gunnar; Milgram, R. James

1995

The integral \(K\)-theoretic Novikov conjecture for groups with finite asymptotic dimension. Zbl 1071.19003
Carlsson, Gunnar; Goldfarb, Boris

2005

On the homology of finite free \((Z/2)^ n\)-complexes. Zbl 0526.57024
Carlsson, G.

1983

Statistical topology via Morse theory persistence and nonparametric estimation. Zbl 1196.62041
Bubenik, Peter; Carlsson, Gunnar; Kim, Peter T.; Luo, Zhi-Ming

2010

Interconnection networks based on a generalization of cube-connected cycles. Zbl 0572.94019
Carlsson, G. E.; Cruthirds, J. E.; Sexton, H. B.; Wright, C. G.

1985

Localized homology. Zbl 1155.65021
Zomorodian, Afra; Carlsson, Gunnar

2008

Equivariant stable homotopy and Sullivan’s conjecture. Zbl 0736.55008
Carlsson, Gunnar

1991

Free \(({\mathbb{Z}}/2)^ k\)-actions and a problem in commutative algebra. Zbl 0614.57023
Carlsson, Gunnar

1986

Derived completions in stable homotopy theory. Zbl 1146.55006
Carlsson, Gunnar

2008

On the algebraic \(K\)-theory of infinite product categories. Zbl 0829.18005
Carlsson, Gunnar

1995

Computing persistent homology. Zbl 1375.68174
Zomorodian, Afra; Carlsson, Gunnar

2004

A Klein-bottle-based dictionary for texture representation. Zbl 1328.68279
Perea, Jose A.; Carlsson, Gunnar

2014

Computing multidimensional persistence. Zbl 1374.68649
Carlsson, Gunnar; Singh, Gurjeet; Zomorodian, Afra J.

2010

The cyclic groups and the free loop space. Zbl 0632.57028
Carlsson, G. E.; Cohen, R. L.

1987

Higher topological cyclic homology and the Segal conjecture for tori. Zbl 1223.55004
Carlsson, Gunnar; Douglas, Christopher L.; Dundas, Bjørn Ian

2011

On the non-existence of free actions of elementary Abelian groups on products of spheres. Zbl 0454.57028
Carlsson, Gunnar

1980

An algebraic topological method for feature identification. Zbl 1098.65024
Carlsson, Erik; Carlsson, Gunnar; De Silva, Vin

2006

A simplicial group construction for balanced products. Zbl 0532.55024
Carlsson, Gunnar

1984

On the algebraic \(K\)-theory of simply connected spaces. Zbl 0867.19003
Bökstedt, M.; Carlsson, G.; Cohen, R.; Goodwillie, T.; Hsiang, W. C.; Madsen, I.

1996

Free \(({\mathbb{Z}}/2)^ 3\)-actions on finite complexes. Zbl 0701.55003
Carlsson, Gunnar

1987

A survey of equivariant stable homotopy theory. Zbl 0759.55001
Carlsson, Gunnar

1992

Covering homology. Zbl 1208.19003
Brun, Morten; Carlsson, Gunnar; Dundas, Bjørn Ian

2010

Symmetric and \(r\)-symmetric tropical polynomials and rational functions. Zbl 1375.14211
Carlsson, Gunnar; Kališnik Verovšek, Sara

2016

Parametrized homology via zigzag persistence. Zbl 1427.55005
Carlsson, Gunnar; de Silva, Vin; Kališnik, Sara; Morozov, Dmitriy

2019

Numeric invariants from multidimensional persistence. Zbl 1439.55007
Skryzalin, Jacek; Carlsson, Gunnar

2017

Persistent homology of the sum metric. Zbl 1437.55007
Carlsson, Gunnar; Filippenko, Benjamin

2020

Controlled algebraic \(G\)-theory. I. Zbl 1278.19002
Carlsson, Gunnar; Goldfarb, Boris

2011

Derived representation theory and the algebraic \(K\)-theory of fields. Zbl 1230.19001
Carlsson, Gunnar E.

2011

The free loop space and the algebraic K-theory of spaces. Zbl 0649.55001
Carlsson, G. E.; Cohen, R. L.; Goodwillie, T.; Hsiang, W. C.

1987

Continuously controlled algebraic \(K\)-theory of spaces and the Novikov conjecture. Zbl 0897.55003
Carlsson, Gunnar; Pedersen, Erik Kjær; Vogell, Wolrad

1998

Hierarchical clustering of asymmetric networks. Zbl 1414.91298
Carlsson, Gunnar; Mémoli, Facundo; Ribeiro, Alejandro; Segarra, Santiago

2018

On the nonlinear statistics of range image patches. Zbl 1175.62066
Adams, Henry; Carlsson, Gunnar

2009

Bounded \(K\)-theory and the assembly map in algebraic \(K\)-theory. Zbl 0957.19001
Carlsson, Gunnar

1995

A geometric framework for sparse matrix problems. Zbl 1103.65032
Carlsson, Gunnar; de Silva, Vin

2004

Čech homology and the Novikov conjectures for K- and L-theory. Zbl 0936.19003
Carlsson, Gunnar; Pedersen, Erik Kjær

1998

Topological approaches to deep learning. Zbl 1441.68220
Carlsson, Gunnar; Gabrielsson, Rickard Brüel

2020

Segal’s Burnside ring conjecture and the homotopy limit problem. Zbl 0656.55010
Carlsson, Gunnar

1987

Torsion with rings for orders and finite groups. Zbl 0408.18009
Carlsson, G.; Milgram, R. James

1978

Some exact sequences in the theory of Hermitian forms. Zbl 0443.10019
Carlsson, Gunnar; Milgram, R. James

1980

Persistent homology and applied homotopy theory. Zbl 1476.55014
Carlsson, Gunnar

2020

Topological data analysis with applications. Zbl 1498.62003
Carlsson, Gunnar; Vejdemo-Johansson, Mikael

2022

Problem session. Zbl 0977.55001
Carlsson, Gunnar

2001

On modules over infinite group rings. Zbl 1354.19001
Carlsson, Gunnar; Goldfarb, Boris

2016

Deloopings in algebraic \(K\)-theory. Zbl 1106.19001
Carlsson, Gunnar

2005

On the homotopy fixed point problem for free loop spaces and other function complexes. Zbl 0736.55009
Carlsson, Gunnar

1991

On the stable splitting of bo \(\wedge\) bo and torsion operations in connective K-theory. Zbl 0408.55014
Carlsson, Gunnar

1980

On the Witt group of a 2-adic group ring. Zbl 0412.10014
Carlsson, Gunnar

1980

Bounded \(G\)-theory with fibred control. Zbl 1498.19001
Carlsson, Gunnar; Goldfarb, Boris

2019

Robust hierarchical clustering for directed networks: an axiomatic approach. Zbl 1538.62192
Carlsson, Gunnar; Mémoli, Facundo; Segarra, Santiago

2021

Proper homotopy theory and transfers for infinite groups. Zbl 0795.55012
Carlsson, Gunnar

1994

Algebraic topology and its applications. Zbl 0782.00019

1994

Nudged elastic band in topological data analysis. Zbl 1377.62030
Adams, Henry; Atanasov, Atanas; Carlsson, Gunnar

2015

The shape of data. Zbl 1349.55001
Carlsson, Gunnar

2013

Equivariant stable homotopy theory and related areas. Proceedings of a workshop, Stanford University, Stanford, CA, USA, August 23–27, 2000. Zbl 0973.00048

2001

Segal’s Burnside ring conjecture and related problems in topology. Zbl 0667.57022
Carlsson, Gunnar

1987

Algebraic topological methods in computer science. Proceedings of a workshop, Stanford University, Stanford, CA, USA, July 30–August 3, 2001. Zbl 1018.00509

2003

Recent developments in algebraic K-theory. Zbl 1027.19001
Carlsson, Gunnar

2001

Some restrictions on finite groups acting freely on \((S^n)^k\). Zbl 0489.57009
Carlsson, Gunnar

1981

Desuspension in the symmetric L-groups. Zbl 0421.57011
Carlsson, Gunnar

1979

Wu invariants of Hermitian forms. Zbl 0441.10018
Carlsson, Gunnar

1980

An Adams-type spectral sequence for change of rings. Zbl 0409.55015
Carlsson, Gunnar

1978

The structure of odd L-groups. Zbl 0455.18008
Carlsson, G.; Milgram, R. James

1979

Excision in equivariant fibred \(G\)-theory. Zbl 1483.19002
Carlsson, Gunnar; Goldfarb, Boris

2020

Topological data analysis. Proceedings of the Abel symposium 2018, Geiranger, Norway, June 4–8, 2018. Zbl 1448.62008

2020

Equivariant algebraic \(K\)-theory, \(G\)-theory and derived completions. Zbl 1531.19001
Carlsson, Gunnar; Joshua, Roy

2023

Equivariant algebraic \(K\)-theory, \(G\)-theory and derived completions. Zbl 1531.19001
Carlsson, Gunnar; Joshua, Roy

2023

Topological data analysis with applications. Zbl 1498.62003
Carlsson, Gunnar; Vejdemo-Johansson, Mikael

2022

Robust hierarchical clustering for directed networks: an axiomatic approach. Zbl 1538.62192
Carlsson, Gunnar; Mémoli, Facundo; Segarra, Santiago

2021

Persistent homology of the sum metric. Zbl 1437.55007
Carlsson, Gunnar; Filippenko, Benjamin

2020

Topological approaches to deep learning. Zbl 1441.68220
Carlsson, Gunnar; Gabrielsson, Rickard Brüel

2020

Persistent homology and applied homotopy theory. Zbl 1476.55014
Carlsson, Gunnar

2020

Excision in equivariant fibred \(G\)-theory. Zbl 1483.19002
Carlsson, Gunnar; Goldfarb, Boris

2020

Topological data analysis. Proceedings of the Abel symposium 2018, Geiranger, Norway, June 4–8, 2018. Zbl 1448.62008

2020

Parametrized homology via zigzag persistence. Zbl 1427.55005
Carlsson, Gunnar; de Silva, Vin; Kališnik, Sara; Morozov, Dmitriy

2019

Bounded \(G\)-theory with fibred control. Zbl 1498.19001
Carlsson, Gunnar; Goldfarb, Boris

2019

Hierarchical clustering of asymmetric networks. Zbl 1414.91298
Carlsson, Gunnar; Mémoli, Facundo; Ribeiro, Alejandro; Segarra, Santiago

2018

Numeric invariants from multidimensional persistence. Zbl 1439.55007
Skryzalin, Jacek; Carlsson, Gunnar

2017

The ring of algebraic functions on persistence bar codes. Zbl 1420.55017
Adcock, Aaron; Carlsson, Erik; Carlsson, Gunnar

2016

Symmetric and \(r\)-symmetric tropical polynomials and rational functions. Zbl 1375.14211
Carlsson, Gunnar; Kališnik Verovšek, Sara

2016

On modules over infinite group rings. Zbl 1354.19001
Carlsson, Gunnar; Goldfarb, Boris

2016

Nudged elastic band in topological data analysis. Zbl 1377.62030
Adams, Henry; Atanasov, Atanas; Carlsson, Gunnar

2015

Topological pattern recognition for point cloud data. Zbl 1398.68615
Carlsson, Gunnar

2014

A Klein-bottle-based dictionary for texture representation. Zbl 1328.68279
Perea, Jose A.; Carlsson, Gunnar

2014

Topology of viral evolution. Zbl 1292.92014
Chan, Joseph Minhow; Carlsson, Gunnar; Rabadan, Raul

2013

Classifying clustering schemes. Zbl 1358.62057
Carlsson, Gunnar; Mémoli, Facundo

2013

The shape of data. Zbl 1349.55001
Carlsson, Gunnar

2013

Higher topological cyclic homology and the Segal conjecture for tori. Zbl 1223.55004
Carlsson, Gunnar; Douglas, Christopher L.; Dundas, Bjørn Ian

2011

Controlled algebraic \(G\)-theory. I. Zbl 1278.19002
Carlsson, Gunnar; Goldfarb, Boris

2011

Derived representation theory and the algebraic \(K\)-theory of fields. Zbl 1230.19001
Carlsson, Gunnar E.

2011

Zigzag persistence. Zbl 1204.68242
Carlsson, Gunnar; de Silva, Vin

2010

Characterization, stability and convergence of hierarchical clustering methods. Zbl 1242.62050
Carlsson, Gunnar; Mémoli, Facundo

2010

Statistical topology via Morse theory persistence and nonparametric estimation. Zbl 1196.62041
Bubenik, Peter; Carlsson, Gunnar; Kim, Peter T.; Luo, Zhi-Ming

2010

Computing multidimensional persistence. Zbl 1374.68649
Carlsson, Gunnar; Singh, Gurjeet; Zomorodian, Afra J.

2010

Covering homology. Zbl 1208.19003
Brun, Morten; Carlsson, Gunnar; Dundas, Bjørn Ian

2010

Topology and data. Zbl 1172.62002
Carlsson, Gunnar

2009

The theory of multidimensional persistence. Zbl 1187.55004
Carlsson, Gunnar; Zomorodian, Afra

2009

Zigzag persistent homology and real-valued functions. Zbl 1380.68385
Carlsson, Gunnar; de Silva, Vin; Morozov, Dmitriy

2009

Computing multidimensional persistence. Zbl 1273.68416
Carlsson, Gunnar; Singh, Gurjeet; Zomorodian, Afra

2009

On the nonlinear statistics of range image patches. Zbl 1175.62066
Adams, Henry; Carlsson, Gunnar

2009

On the local behavior of spaces of natural images. Zbl 1477.68463
Carlsson, Gunnar; Ishkhanov, Tigran; De Silva, Vin; Zomorodian, Afra

2008

Localized homology. Zbl 1155.65021
Zomorodian, Afra; Carlsson, Gunnar

2008

Derived completions in stable homotopy theory. Zbl 1146.55006
Carlsson, Gunnar

2008

The theory of multidimensional persistence. Zbl 1188.55001
Carlsson, Gunnar; Zomorodian, Afra

2007

An algebraic topological method for feature identification. Zbl 1098.65024
Carlsson, Erik; Carlsson, Gunnar; De Silva, Vin

2006

Computing persistent homology. Zbl 1069.55003
Zomorodian, Afra; Carlsson, Gunnar

2005

Persistence barcodes for shapes. Zbl 1092.68688
Carlsson, Gunnar; Zomorodian, Afra; Collins, Anne; Guibas, Leonidas J.

2005

The integral \(K\)-theoretic Novikov conjecture for groups with finite asymptotic dimension. Zbl 1071.19003
Carlsson, Gunnar; Goldfarb, Boris

2005

Deloopings in algebraic \(K\)-theory. Zbl 1106.19001
Carlsson, Gunnar

2005

On homological coherence of discrete groups. Zbl 1057.22013
Carlsson, Gunnar; Goldfarb, Boris

2004

Computing persistent homology. Zbl 1375.68174
Zomorodian, Afra; Carlsson, Gunnar

2004

A geometric framework for sparse matrix problems. Zbl 1103.65032
Carlsson, Gunnar; de Silva, Vin

2004

Algebraic topological methods in computer science. Proceedings of a workshop, Stanford University, Stanford, CA, USA, July 30–August 3, 2001. Zbl 1018.00509

2003

Problem session. Zbl 0977.55001
Carlsson, Gunnar

2001

Equivariant stable homotopy theory and related areas. Proceedings of a workshop, Stanford University, Stanford, CA, USA, August 23–27, 2000. Zbl 0973.00048

2001

Recent developments in algebraic K-theory. Zbl 1027.19001
Carlsson, Gunnar

2001

Continuously controlled algebraic \(K\)-theory of spaces and the Novikov conjecture. Zbl 0897.55003
Carlsson, Gunnar; Pedersen, Erik Kjær; Vogell, Wolrad

1998

Čech homology and the Novikov conjectures for K- and L-theory. Zbl 0936.19003
Carlsson, Gunnar; Pedersen, Erik Kjær

1998

On the algebraic \(K\)-theory of simply connected spaces. Zbl 0867.19003
Bökstedt, M.; Carlsson, G.; Cohen, R.; Goodwillie, T.; Hsiang, W. C.; Madsen, I.

1996

Controlled algebra and the Novikov conjectures for \(K\)- and \(L\)-theory. Zbl 0838.55004
Carlsson, Gunnar; Pedersen, Erik Kjær

1995

Stable homotopy and iterated loop spaces. Zbl 0865.55006
Carlsson, Gunnar; Milgram, R. James

1995

On the algebraic \(K\)-theory of infinite product categories. Zbl 0829.18005
Carlsson, Gunnar

1995

Bounded \(K\)-theory and the assembly map in algebraic \(K\)-theory. Zbl 0957.19001
Carlsson, Gunnar

1995

Proper homotopy theory and transfers for infinite groups. Zbl 0795.55012
Carlsson, Gunnar

1994

Algebraic topology and its applications. Zbl 0782.00019

1994

A survey of equivariant stable homotopy theory. Zbl 0759.55001
Carlsson, Gunnar

1992

Equivariant stable homotopy and Sullivan’s conjecture. Zbl 0736.55008
Carlsson, Gunnar

1991

On the homotopy fixed point problem for free loop spaces and other function complexes. Zbl 0736.55009
Carlsson, Gunnar

1991

The cyclic groups and the free loop space. Zbl 0632.57028
Carlsson, G. E.; Cohen, R. L.

1987

Free \(({\mathbb{Z}}/2)^ 3\)-actions on finite complexes. Zbl 0701.55003
Carlsson, Gunnar

1987

The free loop space and the algebraic K-theory of spaces. Zbl 0649.55001
Carlsson, G. E.; Cohen, R. L.; Goodwillie, T.; Hsiang, W. C.

1987

Segal’s Burnside ring conjecture and the homotopy limit problem. Zbl 0656.55010
Carlsson, Gunnar

1987

Segal’s Burnside ring conjecture and related problems in topology. Zbl 0667.57022
Carlsson, Gunnar

1987

Free \(({\mathbb{Z}}/2)^ k\)-actions and a problem in commutative algebra. Zbl 0614.57023
Carlsson, Gunnar

1986

Interconnection networks based on a generalization of cube-connected cycles. Zbl 0572.94019
Carlsson, G. E.; Cruthirds, J. E.; Sexton, H. B.; Wright, C. G.

1985

Equivariant stable homotopy and Segal’s Burnside ring conjecture. Zbl 0586.55008
Carlsson, Gunnar

1984

A simplicial group construction for balanced products. Zbl 0532.55024
Carlsson, Gunnar

1984

G. B. Segal’s Burnside ring conjecture for \((Z/2)^k\). Zbl 0504.55011
Carlsson, Gunnar

1983

On the homology of finite free \((Z/2)^ n\)-complexes. Zbl 0526.57024
Carlsson, G.

1983

On the rank of Abelian groups acting freely on \((S^n)^k\). Zbl 0517.57020
Carlsson, Gunnar

1982

A counterexample to a conjecture of Steenrod. Zbl 0477.55007
Carlsson, Gunnar

1981

Some restrictions on finite groups acting freely on \((S^n)^k\). Zbl 0489.57009
Carlsson, Gunnar

1981

On the non-existence of free actions of elementary Abelian groups on products of spheres. Zbl 0454.57028
Carlsson, Gunnar

1980

Some exact sequences in the theory of Hermitian forms. Zbl 0443.10019
Carlsson, Gunnar; Milgram, R. James

1980

On the stable splitting of bo \(\wedge\) bo and torsion operations in connective K-theory. Zbl 0408.55014
Carlsson, Gunnar

1980

On the Witt group of a 2-adic group ring. Zbl 0412.10014
Carlsson, Gunnar

1980

Wu invariants of Hermitian forms. Zbl 0441.10018
Carlsson, Gunnar

1980

Desuspension in the symmetric L-groups. Zbl 0421.57011
Carlsson, Gunnar

1979

The structure of odd L-groups. Zbl 0455.18008
Carlsson, G.; Milgram, R. James

1979

Torsion with rings for orders and finite groups. Zbl 0408.18009
Carlsson, G.; Milgram, R. James

1978

An Adams-type spectral sequence for change of rings. Zbl 0409.55015
Carlsson, Gunnar

1978