Artificial Intelligence and the Structure of Mathematics
Maissam Barkeshli, Michael R. Douglas, Michael Freedman
April 2026
arXiv | April 2026
Michael Freedman
Emeritus Researcher
论文与出版物
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Compression is all you need: Modeling Mathematics
Vitaly Aksenov, Eve Bodnia, Michael Freedman, Michael Mulligan
March 2026
arXiv | March 2026
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Prospecting a Possible Quadratic Wormhole Between Quantum Mechanics and Plurality
Michal Fabinger, Michael Freedman, E. Glen Weyl
September 2022
arXiv | September 2022
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Reflecting on a Possible Quadratic Wormhole Between Quantum Mechanics and Plurality
Michael Freedman, Michal Fabinger, E. Glen Weyl
RadicalxChange | September 2022
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Classification of Quantum Cellular Automata
Michael Freedman, Matthew Hastings
2020 Communications in Mathematical Physics | May 2020, 第 376 卷(2): pp. 1171-1222
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Controlled Mather-Thurston theorems
May 2020
arXiv | May 2020
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Quantum Computing with Octonions
Michael Freedman, Modjtaba Shokrian-Zini, Zhenghan Wang
2019 Peking Mathematical Journal | November 2019, 第 2 卷(3): pp. 239-273
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The Group Structure of Quantum Cellular Automata
Michael Freedman, Jeongwan Haah, Matthew Hastings
October 2019
2019 arXiv: Quantum Physics | October 2019
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Scalable Designs for Quasiparticle-Poisoning-Protected Topological Quantum Computation with Majorana Zero Modes
Torsten Karzig, Christina Knapp, Roman Lutchyn, Parsa Bonderson, Matthew Hastings, Chetan Nayak, Jason Alicea, Karsten Flensberg, Stephan Plugge, Yuval Oreg, Charles M. Marcus, Michael H. Freedman
Physical Review B | June 2017, 第 95 卷: pp. 235305
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Live Video Analytics at Scale with Approximation and Delay-Tolerance
Haoyu Zhang, Ganesh Ananthanarayanan, Peter Bodík, Matthai Philipose, Victor Bahl, Michael Freedman
USENIX NSDI | March 2017
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Universal Geometric Path to a Robust Majorana Magic Gate
Michael Freedman, Torsten Karzig
Physical Review X | August 2016, 第 6 卷: pp. 31019
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Universal gates via fusion and measurement operations on SU (2) 4 anyons
Claire Levaillant, Bela Bauer, Michael Freedman, Zhenghan Wang, Parsa Bonderson
Physical Review A | July 2015, 第 92 卷: pp. 12301
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Universality of single quantum gates
Bela Bauer, Claire Levaillant, Michael Freedman
arXiv preprint arXiv:1404.7822 | April 2014
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Aggregation and Degradation in JetStream: Streaming Analytics in the Wide Area
Ariel Rabkin, Matvey Arye, Siddhartha Sen, Vivek S. Pai, Michael Freedman
Proc. 11th Symposium on Networked Systems Design and Implementation (NSDI) | April 2014
14 pages
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-
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Scalable, Optimal Flow Routing in Datacenters via Local Link Balancing
Siddhartha Sen, David Shue, Sunghwan Ihm, Michael Freedman
Proc. 9th Conference on Emerging Networking Experiments and Technologies (CoNEXT) | December 2013
12 pages
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Making Every Bit Count in Wide-area Analytics
Ariel Rabkin, Matvey Arye, Siddhartha Sen, Vivek Pai, Michael Freedman
Proc. 14th Conference on Hot Topics in Operating Systems (HotOS) | May 2013
6 pages
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Faster Phase Estimation
Krysta M. Svore, Matthew Hastings, Michael Freedman
Quantum Information and Computation | April 2013, 第 14 卷: pp. 306-328
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Commensal cuckoo: Secure group partitioning for large-scale services
Siddhartha Sen, Michael Freedman
Operating Systems Review | January 2012, 第 46 卷
7 pages
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-
-
Prophecy: Using history for high-throughput fault tolerance
Siddhartha Sen, Wyatt Lloyd, Michael Freedman
Proc. 7th Networked Systems Design and Implementation (NSDI) | April 2010
16 pages
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-
-
Non-Abelian Anyons and Topological Quantum Computation
Dr. Chetan Nayak, Steven H. Simon, Ady Stern, Michael Freedman, Dr. Sankar Das Sarma
Strongly Correlated Electrons | June 2007, 第 80 卷(1083)
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Topological Quantum Computation
Dr. Sankar Das Sarma, Michael Freedman, Dr. Chetan Nayak
Physics Today | July 2006, 第 89 卷(7)
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Reflection positivity, rank connectivity, and homomorphism of graphs
Michael Freedman, Laszlo Lovasz, Alexander Schrijver
MSR-TR-2004-41 | April 2004
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A Magnetic Model with a Possible Chern-Simons Phase
MSR-TR-2001-84 | January 2003
Revised November 15, 2002
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Diameters of Homogeneous Spaces
Michael Freedman, Alexei Kitaev, Jacob Lurie
MSR-TR-2002-119 | December 2002
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The two-eigenvalue problem and density of Jones representation of braid groups
Michael Freedman, Michael J. Larsen, Wang Zhenghan
MSR-TR-2001-42 | April 2001
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-
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Artificial Intelligence and the Structure of Mathematics
Maissam Barkeshli, Michael R. Douglas, Michael Freedman
April 2026
arXiv | April 2026
-
Compression is all you need: Modeling Mathematics
Vitaly Aksenov, Eve Bodnia, Michael Freedman, Michael Mulligan
March 2026
arXiv | March 2026
-
-
-
Artificial Intelligence and the Structure of Mathematics
Maissam Barkeshli, Michael R. Douglas, Michael Freedman
April 2026
arXiv | April 2026
-
Controlled Mather-Thurston theorems
May 2020
arXiv | May 2020
-
Reflection positivity, rank connectivity, and homomorphism of graphs
Michael Freedman, Laszlo Lovasz, Alexander Schrijver
MSR-TR-2004-41 | April 2004
-
-
-
Reflecting on a Possible Quadratic Wormhole Between Quantum Mechanics and Plurality
Michael Freedman, Michal Fabinger, E. Glen Weyl
RadicalxChange | September 2022
-
Prospecting a Possible Quadratic Wormhole Between Quantum Mechanics and Plurality
Michal Fabinger, Michael Freedman, E. Glen Weyl
September 2022
arXiv | September 2022
-
-
-
The two-eigenvalue problem and density of Jones representation of braid groups
Michael Freedman, Michael J. Larsen, Wang Zhenghan
MSR-TR-2001-42 | April 2001
-
Classification of Quantum Cellular Automata
Michael Freedman, Matthew Hastings
2020 Communications in Mathematical Physics | May 2020, 第 376 卷(2): pp. 1171-1222
-
Controlled Mather-Thurston theorems
May 2020
arXiv | May 2020
-
Quantum Computing with Octonions
Michael Freedman, Modjtaba Shokrian-Zini, Zhenghan Wang
2019 Peking Mathematical Journal | November 2019, 第 2 卷(3): pp. 239-273
-
The Group Structure of Quantum Cellular Automata
Michael Freedman, Jeongwan Haah, Matthew Hastings
October 2019
2019 arXiv: Quantum Physics | October 2019
-
Scalable Designs for Quasiparticle-Poisoning-Protected Topological Quantum Computation with Majorana Zero Modes
Torsten Karzig, Christina Knapp, Roman Lutchyn, Parsa Bonderson, Matthew Hastings, Chetan Nayak, Jason Alicea, Karsten Flensberg, Stephan Plugge, Yuval Oreg, Charles M. Marcus, Michael H. Freedman
Physical Review B | June 2017, 第 95 卷: pp. 235305
-
Universal Geometric Path to a Robust Majorana Magic Gate
Michael Freedman, Torsten Karzig
Physical Review X | August 2016, 第 6 卷: pp. 31019
-
Universal gates via fusion and measurement operations on SU (2) 4 anyons
Claire Levaillant, Bela Bauer, Michael Freedman, Zhenghan Wang, Parsa Bonderson
Physical Review A | July 2015, 第 92 卷: pp. 12301
-
Universality of single quantum gates
Bela Bauer, Claire Levaillant, Michael Freedman
arXiv preprint arXiv:1404.7822 | April 2014
-
Faster Phase Estimation
Krysta M. Svore, Matthew Hastings, Michael Freedman
Quantum Information and Computation | April 2013, 第 14 卷: pp. 306-328
-
Non-Abelian Anyons and Topological Quantum Computation
Dr. Chetan Nayak, Steven H. Simon, Ady Stern, Michael Freedman, Dr. Sankar Das Sarma
Strongly Correlated Electrons | June 2007, 第 80 卷(1083)
-
Topological Quantum Computation
Dr. Sankar Das Sarma, Michael Freedman, Dr. Chetan Nayak
Physics Today | July 2006, 第 89 卷(7)
-
-
-
Scalable, Optimal Flow Routing in Datacenters via Local Link Balancing
Siddhartha Sen, David Shue, Sunghwan Ihm, Michael Freedman
Proc. 9th Conference on Emerging Networking Experiments and Technologies (CoNEXT) | December 2013
12 pages
-
Faster Phase Estimation
Krysta M. Svore, Matthew Hastings, Michael Freedman
Quantum Information and Computation | April 2013, 第 14 卷: pp. 306-328
-
Commensal cuckoo: Secure group partitioning for large-scale services
Siddhartha Sen, Michael Freedman
Operating Systems Review | January 2012, 第 46 卷
7 pages
-
A Magnetic Model with a Possible Chern-Simons Phase
MSR-TR-2001-84 | January 2003
Revised November 15, 2002
-
Diameters of Homogeneous Spaces
Michael Freedman, Alexei Kitaev, Jacob Lurie
MSR-TR-2002-119 | December 2002
-
-
-
Live Video Analytics at Scale with Approximation and Delay-Tolerance
Haoyu Zhang, Ganesh Ananthanarayanan, Peter Bodík, Matthai Philipose, Victor Bahl, Michael Freedman
USENIX NSDI | March 2017
-
Aggregation and Degradation in JetStream: Streaming Analytics in the Wide Area
Ariel Rabkin, Matvey Arye, Siddhartha Sen, Vivek S. Pai, Michael Freedman
Proc. 11th Symposium on Networked Systems Design and Implementation (NSDI) | April 2014
14 pages
-
Scalable, Optimal Flow Routing in Datacenters via Local Link Balancing
Siddhartha Sen, David Shue, Sunghwan Ihm, Michael Freedman
Proc. 9th Conference on Emerging Networking Experiments and Technologies (CoNEXT) | December 2013
12 pages
-
Making Every Bit Count in Wide-area Analytics
Ariel Rabkin, Matvey Arye, Siddhartha Sen, Vivek Pai, Michael Freedman
Proc. 14th Conference on Hot Topics in Operating Systems (HotOS) | May 2013
6 pages
-
Commensal cuckoo: Secure group partitioning for large-scale services
Siddhartha Sen, Michael Freedman
Operating Systems Review | January 2012, 第 46 卷
7 pages
-
Prophecy: Using history for high-throughput fault tolerance
Siddhartha Sen, Wyatt Lloyd, Michael Freedman
Proc. 7th Networked Systems Design and Implementation (NSDI) | April 2010
16 pages
-
-
-
Artificial Intelligence and the Structure of Mathematics
Maissam Barkeshli, Michael R. Douglas, Michael Freedman
April 2026
arXiv | April 2026
-
Compression is all you need: Modeling Mathematics
Vitaly Aksenov, Eve Bodnia, Michael Freedman, Michael Mulligan
March 2026
arXiv | March 2026
-
Prospecting a Possible Quadratic Wormhole Between Quantum Mechanics and Plurality
Michal Fabinger, Michael Freedman, E. Glen Weyl
September 2022
arXiv | September 2022
-
Controlled Mather-Thurston theorems
May 2020
arXiv | May 2020
-
The Group Structure of Quantum Cellular Automata
Michael Freedman, Jeongwan Haah, Matthew Hastings
October 2019
2019 arXiv: Quantum Physics | October 2019
-
-
-
Reflecting on a Possible Quadratic Wormhole Between Quantum Mechanics and Plurality
Michael Freedman, Michal Fabinger, E. Glen Weyl
RadicalxChange | September 2022
-
Classification of Quantum Cellular Automata
Michael Freedman, Matthew Hastings
2020 Communications in Mathematical Physics | May 2020, 第 376 卷(2): pp. 1171-1222
-
Quantum Computing with Octonions
Michael Freedman, Modjtaba Shokrian-Zini, Zhenghan Wang
2019 Peking Mathematical Journal | November 2019, 第 2 卷(3): pp. 239-273
-
Scalable Designs for Quasiparticle-Poisoning-Protected Topological Quantum Computation with Majorana Zero Modes
Torsten Karzig, Christina Knapp, Roman Lutchyn, Parsa Bonderson, Matthew Hastings, Chetan Nayak, Jason Alicea, Karsten Flensberg, Stephan Plugge, Yuval Oreg, Charles M. Marcus, Michael H. Freedman
Physical Review B | June 2017, 第 95 卷: pp. 235305
-
Universal Geometric Path to a Robust Majorana Magic Gate
Michael Freedman, Torsten Karzig
Physical Review X | August 2016, 第 6 卷: pp. 31019
-
Universal gates via fusion and measurement operations on SU (2) 4 anyons
Claire Levaillant, Bela Bauer, Michael Freedman, Zhenghan Wang, Parsa Bonderson
Physical Review A | July 2015, 第 92 卷: pp. 12301
-
Universality of single quantum gates
Bela Bauer, Claire Levaillant, Michael Freedman
arXiv preprint arXiv:1404.7822 | April 2014
-
Faster Phase Estimation
Krysta M. Svore, Matthew Hastings, Michael Freedman
Quantum Information and Computation | April 2013, 第 14 卷: pp. 306-328
-
Commensal cuckoo: Secure group partitioning for large-scale services
Siddhartha Sen, Michael Freedman
Operating Systems Review | January 2012, 第 46 卷
7 pages
-
Non-Abelian Anyons and Topological Quantum Computation
Dr. Chetan Nayak, Steven H. Simon, Ady Stern, Michael Freedman, Dr. Sankar Das Sarma
Strongly Correlated Electrons | June 2007, 第 80 卷(1083)
-
Topological Quantum Computation
Dr. Sankar Das Sarma, Michael Freedman, Dr. Chetan Nayak
Physics Today | July 2006, 第 89 卷(7)
-
-
-
The two-eigenvalue problem and density of Jones representation of braid groups
Michael Freedman, Michael J. Larsen, Wang Zhenghan
MSR-TR-2001-42 | April 2001
-
Reflection positivity, rank connectivity, and homomorphism of graphs
Michael Freedman, Laszlo Lovasz, Alexander Schrijver
MSR-TR-2004-41 | April 2004
-
A Magnetic Model with a Possible Chern-Simons Phase
MSR-TR-2001-84 | January 2003
Revised November 15, 2002
-
Diameters of Homogeneous Spaces
Michael Freedman, Alexei Kitaev, Jacob Lurie
MSR-TR-2002-119 | December 2002
-
-
-
Live Video Analytics at Scale with Approximation and Delay-Tolerance
Haoyu Zhang, Ganesh Ananthanarayanan, Peter Bodík, Matthai Philipose, Victor Bahl, Michael Freedman
USENIX NSDI | March 2017
-
Aggregation and Degradation in JetStream: Streaming Analytics in the Wide Area
Ariel Rabkin, Matvey Arye, Siddhartha Sen, Vivek S. Pai, Michael Freedman
Proc. 11th Symposium on Networked Systems Design and Implementation (NSDI) | April 2014
14 pages
-
Scalable, Optimal Flow Routing in Datacenters via Local Link Balancing
Siddhartha Sen, David Shue, Sunghwan Ihm, Michael Freedman
Proc. 9th Conference on Emerging Networking Experiments and Technologies (CoNEXT) | December 2013
12 pages
-
Making Every Bit Count in Wide-area Analytics
Ariel Rabkin, Matvey Arye, Siddhartha Sen, Vivek Pai, Michael Freedman
Proc. 14th Conference on Hot Topics in Operating Systems (HotOS) | May 2013
6 pages
-
Prophecy: Using history for high-throughput fault tolerance
Siddhartha Sen, Wyatt Lloyd, Michael Freedman
Proc. 7th Networked Systems Design and Implementation (NSDI) | April 2010
16 pages
-