Vinícius Mello: Triangulating Plane Algebraic Curves Intrinsically in CP^2 https://hal.science/hal-05791116v1 [info.info-cg]
October 13, 2026 at 3:00 AM
Vinícius Mello: Triangulating Plane Algebraic Curves Intrinsically in CP^2 https://hal.science/hal-05791116v1 [info.info-cg]
Develops unified algebraic framework connecting spacetime codes, Gottesman's gadget framework, and fault complexes. Establishes criteria relating fault distances to gadget correctness properties; recovers known constructions including syndrome extraction, transversal gates, an...
Unified Algebraic Theory of Spacetime Quantum Fault Tolerance
arxiv.org
October 13, 2026 at 2:51 AM
Develops unified algebraic framework connecting spacetime codes, Gottesman's gadget framework, and fault complexes. Establishes criteria relating fault distances to gadget correctness properties; recovers known constructions including syndrome extraction, transversal gates, an...
A new arXiv paper introduces algebraic integer quantization (AIQ), a compression framework that reduces to error-free integer arithmetic and enables efficient matrix multiplication on modern hardware accelerators.
#AI #MachineLearning #Hardware #Quantization
https://arxiv.org/abs/2610.12494
#AI #MachineLearning #Hardware #Quantization
https://arxiv.org/abs/2610.12494
October 13, 2026 at 2:01 AM
A new arXiv paper introduces algebraic integer quantization (AIQ), a compression framework that reduces to error-free integer arithmetic and enables efficient matrix multiplication on modern hardware accelerators.
#AI #MachineLearning #Hardware #Quantization
https://arxiv.org/abs/2610.12494
#AI #MachineLearning #Hardware #Quantization
https://arxiv.org/abs/2610.12494
October 13, 2026 at 2:00 AM
Novel algebraic framework for implementing logical operations on neutral-atom quantum processors with constant-depth atom shuttling, achieving 2× faster measurements than graph-based approaches while maintaining competitive qubit overhead.
#QuantumErrorCorrection #NeutralAtoms #Research
#QuantumErrorCorrection #NeutralAtoms #Research
Algebraic Surgery for Quantum LDPC Codes with Efficient Atom Shuttling
arxiv.org
October 13, 2026 at 1:29 AM
Novel algebraic framework for implementing logical operations on neutral-atom quantum processors with constant-depth atom shuttling, achieving 2× faster measurements than graph-based approaches while maintaining competitive qubit overhead.
#QuantumErrorCorrection #NeutralAtoms #Research
#QuantumErrorCorrection #NeutralAtoms #Research
A trigonometric identity is (formally) a commutative diagram in the category of cartesian spaces and partial functions whose edges are labelled by rational functions (or sometimes algebraic functions) and trigonometric functions.
October 13, 2026 at 12:34 AM
A trigonometric identity is (formally) a commutative diagram in the category of cartesian spaces and partial functions whose edges are labelled by rational functions (or sometimes algebraic functions) and trigonometric functions.
If anyone thinks this is real maths am so sorry school failed you. I attached arbitrary units to non-mathematical shite to logically apply algebraic functions to sus out my own logic an' decipher my brain's own cryptic ass message. An' I dislike my conclusion.
October 12, 2026 at 11:58 PM
If anyone thinks this is real maths am so sorry school failed you. I attached arbitrary units to non-mathematical shite to logically apply algebraic functions to sus out my own logic an' decipher my brain's own cryptic ass message. An' I dislike my conclusion.
New result: Exact minimum distance d = 15 for my [[832, 10, 15]] quantum LDPC code.
Algebraic reduction cuts exhaustive enumeration to ~1 second.
📄 Read the paper and explore the proof:
doi.org/10.5281/zeno...
#QuantumLDPC #QuantumErrorCorrection
Algebraic reduction cuts exhaustive enumeration to ~1 second.
📄 Read the paper and explore the proof:
doi.org/10.5281/zeno...
#QuantumLDPC #QuantumErrorCorrection
Exact Minimum Distance of a [[832,10]] Quantum LDPC Code: d = 15 by Exact Fold and Lift Enumeration
We determine the exact minimum distance of a two block quasi cyclic CSS code with 832 physical and 10 logical qubits. Earlier work had shown 10 ≤ d ≤ 15. We close the interval and prove d = 15. In eac...
doi.org
October 12, 2026 at 11:41 PM
New result: Exact minimum distance d = 15 for my [[832, 10, 15]] quantum LDPC code.
Algebraic reduction cuts exhaustive enumeration to ~1 second.
📄 Read the paper and explore the proof:
doi.org/10.5281/zeno...
#QuantumLDPC #QuantumErrorCorrection
Algebraic reduction cuts exhaustive enumeration to ~1 second.
📄 Read the paper and explore the proof:
doi.org/10.5281/zeno...
#QuantumLDPC #QuantumErrorCorrection
October 12, 2026 at 10:00 PM
On September 29th, Radchenko and Wheeler put the proof of one of these conjectures on the arXiv. It makes use of Ocneanu's rigidity conjecture on fusion categories, as well as shitloads of Galois theory, quantum dilogarithms, and more!
arxiv.org/abs/2609.21892
arxiv.org/abs/2609.21892
Real quadratic fields and finite quantum dilogarithms I
We prove that Stark--Shintani ray class invariants (Stark units) associated to real quadratic fields are algebraic numbers. These invariants are given by special values of Faddeev's modular quantum di...
arxiv.org
October 12, 2026 at 8:36 PM
On September 29th, Radchenko and Wheeler put the proof of one of these conjectures on the arXiv. It makes use of Ocneanu's rigidity conjecture on fusion categories, as well as shitloads of Galois theory, quantum dilogarithms, and more!
arxiv.org/abs/2609.21892
arxiv.org/abs/2609.21892
Algebraic geometry is also a girl, topology is non binary and matrices is a robot
October 12, 2026 at 7:59 PM
Algebraic geometry is also a girl, topology is non binary and matrices is a robot
What’s the gender for topology, algebraic geometry and matrices ?
October 12, 2026 at 7:56 PM
What’s the gender for topology, algebraic geometry and matrices ?
October 12, 2026 at 6:01 PM
Today we had the organizing meeting for the Algebraic Geometry seminar (my contribution was pointing out we can't meet on days when Sissa is closed). Then I spent more than one hour talking to the new studemts.
I am SO LUCKY.
I am SO LUCKY.
October 12, 2026 at 5:30 PM
Today we had the organizing meeting for the Algebraic Geometry seminar (my contribution was pointing out we can't meet on days when Sissa is closed). Then I spent more than one hour talking to the new studemts.
I am SO LUCKY.
I am SO LUCKY.
it's not like..withywood comprehensive..or cabot primary... or newfoundland road..
and a load of old military men.."pipin up" whilst you're tryna figure out an algebraic formula..(smacking you every five minutes..aged 8) WW2..piped up..and cigarette smokin tweed jacketed bald headed little
and a load of old military men.."pipin up" whilst you're tryna figure out an algebraic formula..(smacking you every five minutes..aged 8) WW2..piped up..and cigarette smokin tweed jacketed bald headed little
October 12, 2026 at 5:14 PM
it's not like..withywood comprehensive..or cabot primary... or newfoundland road..
and a load of old military men.."pipin up" whilst you're tryna figure out an algebraic formula..(smacking you every five minutes..aged 8) WW2..piped up..and cigarette smokin tweed jacketed bald headed little
and a load of old military men.."pipin up" whilst you're tryna figure out an algebraic formula..(smacking you every five minutes..aged 8) WW2..piped up..and cigarette smokin tweed jacketed bald headed little
Unsure your connection here how this isn't expected/accounted by the statistical tools in play and the weights of the data we train on.
Finding novel geometric and algebraic trends to summarize data trends we programmed to systematically and exhaustively generate is not surprising, it's novel.
Finding novel geometric and algebraic trends to summarize data trends we programmed to systematically and exhaustively generate is not surprising, it's novel.
October 12, 2026 at 4:59 PM
Unsure your connection here how this isn't expected/accounted by the statistical tools in play and the weights of the data we train on.
Finding novel geometric and algebraic trends to summarize data trends we programmed to systematically and exhaustively generate is not surprising, it's novel.
Finding novel geometric and algebraic trends to summarize data trends we programmed to systematically and exhaustively generate is not surprising, it's novel.
October 12, 2026 at 2:00 PM
also cited this fun 2018 paper that does Bret Victor “Media for Thinking the Unthinkable” stuff for math (I believe Victor talks about algebraic notation too, that was my favorite part)
www.sciencedirect.com/science/arti...
hal.science/hal-01972578...
www.sciencedirect.com/science/arti...
hal.science/hal-01972578...
Tools for Thought: The Case of Mathematics
The objective of this article is to take into account the functioning of representational cognitive tools, and in particular of notations and visualiz…
www.sciencedirect.com
October 12, 2026 at 12:43 PM
also cited this fun 2018 paper that does Bret Victor “Media for Thinking the Unthinkable” stuff for math (I believe Victor talks about algebraic notation too, that was my favorite part)
www.sciencedirect.com/science/arti...
hal.science/hal-01972578...
www.sciencedirect.com/science/arti...
hal.science/hal-01972578...
October 12, 2026 at 10:00 AM
📚 New Arxiv Paper
Title: Toward Maximizing Algebraic Connectivity via Density-Dependent Backbone Construction and Reinforcement Learning Completion
Authors: Zeru Zhu, Marco Gamarra, Ji Liu
Read more: https://arxiv.org/abs/2610.12697
Title: Toward Maximizing Algebraic Connectivity via Density-Dependent Backbone Construction and Reinforcement Learning Completion
Authors: Zeru Zhu, Marco Gamarra, Ji Liu
Read more: https://arxiv.org/abs/2610.12697
October 12, 2026 at 8:02 AM
📚 New Arxiv Paper
Title: Toward Maximizing Algebraic Connectivity via Density-Dependent Backbone Construction and Reinforcement Learning Completion
Authors: Zeru Zhu, Marco Gamarra, Ji Liu
Read more: https://arxiv.org/abs/2610.12697
Title: Toward Maximizing Algebraic Connectivity via Density-Dependent Backbone Construction and Reinforcement Learning Completion
Authors: Zeru Zhu, Marco Gamarra, Ji Liu
Read more: https://arxiv.org/abs/2610.12697
ANTA seminar: Thursday, October 15, 2026, at 14.15. Prof. Lenny Fukshansky: Two algebraic contructions of structured lattices. Aalto University, Undergraduate Centre (Otakaari 1), room M3 (M234). https://math.aalto.fi/en/research/discrete/anta/seminar.php
Algebra, Number Theory, and Applications research group - Thesis projects
math.aalto.fi
October 12, 2026 at 7:10 AM
ANTA seminar: Thursday, October 15, 2026, at 14.15. Prof. Lenny Fukshansky: Two algebraic contructions of structured lattices. Aalto University, Undergraduate Centre (Otakaari 1), room M3 (M234). https://math.aalto.fi/en/research/discrete/anta/seminar.php
AI stands for Algebraic Intelligence.
October 12, 2026 at 6:58 AM
AI stands for Algebraic Intelligence.
Zeru Zhu, Marco Gamarra, Ji Liu: Toward Maximizing Algebraic Connectivity via Density-Dependent Backbone Construction and Reinforcement Learning Completion https://arxiv.org/abs/2610.12697 https://arxiv.org/pdf/2610.12697 https://arxiv.org/html/2610.12697
October 12, 2026 at 6:49 AM
Zeru Zhu, Marco Gamarra, Ji Liu: Toward Maximizing Algebraic Connectivity via Density-Dependent Backbone Construction and Reinforcement Learning Completion https://arxiv.org/abs/2610.12697 https://arxiv.org/pdf/2610.12697 https://arxiv.org/html/2610.12697
Shanwen Wang, Yijun Yuan: The order types of the supports of $p$-adic algebraic Hahn series https://arxiv.org/abs/2610.13014 https://arxiv.org/pdf/2610.13014 https://arxiv.org/html/2610.13014
October 12, 2026 at 6:49 AM
Shanwen Wang, Yijun Yuan: The order types of the supports of $p$-adic algebraic Hahn series https://arxiv.org/abs/2610.13014 https://arxiv.org/pdf/2610.13014 https://arxiv.org/html/2610.13014
[2026-10-12 Mon (UTC), 6 new articles found for mathAT Algebraic Topology]
October 12, 2026 at 6:46 AM
[2026-10-12 Mon (UTC), 6 new articles found for mathAT Algebraic Topology]