Love really should incorporate more FGC references.
Noncommutative partner? That's turtling.
Noncommutative partner? That's turtling.
September 27, 2025 at 7:33 AM
Love really should incorporate more FGC references.
Noncommutative partner? That's turtling.
Noncommutative partner? That's turtling.
I know noncommutative algebraic geometry is hard but have you tried selling your book to people?
February 15, 2024 at 3:17 PM
I know noncommutative algebraic geometry is hard but have you tried selling your book to people?
okay so a gauge field in quantum mechanics is basically... like a noncommutative modular tensor present at all points in spacetime?
January 5, 2026 at 5:34 PM
okay so a gauge field in quantum mechanics is basically... like a noncommutative modular tensor present at all points in spacetime?
#OES_highlight Noncommutative metasurfaces enabled diverse quantum path entanglement of structured photons doi.org/10.29026/oes... by Prof. #Hailu_Luo @Hunan University #noncommutative #metasurfaces #photons #path_entanglement #entanglement
November 25, 2025 at 8:29 AM
#OES_highlight Noncommutative metasurfaces enabled diverse quantum path entanglement of structured photons doi.org/10.29026/oes... by Prof. #Hailu_Luo @Hunan University #noncommutative #metasurfaces #photons #path_entanglement #entanglement
My favorite explanation of quantum *mechanics* is "noncommutative probability theory", and quantum computing is just the theory of computation in that universe.
May 16, 2025 at 11:31 PM
My favorite explanation of quantum *mechanics* is "noncommutative probability theory", and quantum computing is just the theory of computation in that universe.
its crazy how intricate localizing noncommutative objects is
June 21, 2025 at 10:22 AM
its crazy how intricate localizing noncommutative objects is
Therapist: Noncommutative Linear Mandarin is not real, it cannot hurt you.
Noncommutative Linear Mandarin:
[金 木 水 火 土 魚]ᵀ × [金 木 水 火 土 魚] =
鍂鈢𫒎鈥釷𨫷
𣔋林𪱹𣏹杜𮲵
淦沐沝𣲧汢漁
𬊝炑𤆩炏灶龽
𫭾𡉿𪢿※𪢴𡐚
𩸱𩵦𬵆𩵰𩵚䲆
※ the character with IDS ⿰土火 is currently in IRG review hc.jsecs.org/irg/ws2024/a...
Noncommutative Linear Mandarin:
[金 木 水 火 土 魚]ᵀ × [金 木 水 火 土 魚] =
鍂鈢𫒎鈥釷𨫷
𣔋林𪱹𣏹杜𮲵
淦沐沝𣲧汢漁
𬊝炑𤆩炏灶龽
𫭾𡉿𪢿※𪢴𡐚
𩸱𩵦𬵆𩵰𩵚䲆
※ the character with IDS ⿰土火 is currently in IRG review hc.jsecs.org/irg/ws2024/a...
September 24, 2026 at 6:33 PM
Therapist: Noncommutative Linear Mandarin is not real, it cannot hurt you.
Noncommutative Linear Mandarin:
[金 木 水 火 土 魚]ᵀ × [金 木 水 火 土 魚] =
鍂鈢𫒎鈥釷𨫷
𣔋林𪱹𣏹杜𮲵
淦沐沝𣲧汢漁
𬊝炑𤆩炏灶龽
𫭾𡉿𪢿※𪢴𡐚
𩸱𩵦𬵆𩵰𩵚䲆
※ the character with IDS ⿰土火 is currently in IRG review hc.jsecs.org/irg/ws2024/a...
Noncommutative Linear Mandarin:
[金 木 水 火 土 魚]ᵀ × [金 木 水 火 土 魚] =
鍂鈢𫒎鈥釷𨫷
𣔋林𪱹𣏹杜𮲵
淦沐沝𣲧汢漁
𬊝炑𤆩炏灶龽
𫭾𡉿𪢿※𪢴𡐚
𩸱𩵦𬵆𩵰𩵚䲆
※ the character with IDS ⿰土火 is currently in IRG review hc.jsecs.org/irg/ws2024/a...
I have joined the editorial board of Journal of Noncommutative Geometry (ems.press/journals/jncg): send all your great papers on noncommutative algebraic geometry there!
Journal of Noncommutative Geometry | EMS Press
Journal of Noncommutative Geometry, published by EMS Press.
ems.press
April 26, 2025 at 1:17 PM
I have joined the editorial board of Journal of Noncommutative Geometry (ems.press/journals/jncg): send all your great papers on noncommutative algebraic geometry there!
(desperately needs to write their thesis voice) I should learn about noncommutative reproducing kernel Hilbert spaces
May 24, 2026 at 5:50 PM
(desperately needs to write their thesis voice) I should learn about noncommutative reproducing kernel Hilbert spaces
Noncommutative algebras?
𝕆H N𝕆!
𝕆H N𝕆!
June 18, 2025 at 3:09 PM
Noncommutative algebras?
𝕆H N𝕆!
𝕆H N𝕆!
commutative noncommutative algebra
September 24, 2025 at 2:59 PM
commutative noncommutative algebra
The noncommutative algebra of language.
Some words go together like jelly and peanut butter… wait, that sounds super weird.
A pair of words that is used in a fixed order in an idiomatic expression is called an ‘irreversible binomial.’
‘Peanut butter and jelly’ is an example of an irreversible binomial.
🧵⬇️
A pair of words that is used in a fixed order in an idiomatic expression is called an ‘irreversible binomial.’
‘Peanut butter and jelly’ is an example of an irreversible binomial.
🧵⬇️
July 17, 2025 at 1:44 PM
The noncommutative algebra of language.
I’m sorry for laughing out loud on the quiet floor at the library
July 1, 2025 at 2:50 AM
I’m sorry for laughing out loud on the quiet floor at the library
Subtraction is noncommutative, and people learn that in elementary school. (Maybe not the noncommutative part of it until they learn about negative numbers, but it's a very basic operation that has this property.)
November 8, 2025 at 7:22 AM
Subtraction is noncommutative, and people learn that in elementary school. (Maybe not the noncommutative part of it until they learn about negative numbers, but it's a very basic operation that has this property.)
I'm happy to see support for non-commutative algebra, which is very useful for Taylor expansions of Hamiltonians with non-commuting terms, such as in the Baker–Campbell–Hausdorff formula.
en.wikipedia.org/wiki/Baker%E...
Sometimes I had to implement this by hand, so it's nice to have it built in.
en.wikipedia.org/wiki/Baker%E...
Sometimes I had to implement this by hand, so it's nice to have it built in.
Noncommutative Algebra—Wolfram Documentation
Noncommutative algebra is a generalization of matrix algebra in which matrix multiplication is replaced by a noncommutative multiplication operator in an associative algebra. This generalization finds...
reference.wolfram.com
August 6, 2025 at 9:51 AM
I'm happy to see support for non-commutative algebra, which is very useful for Taylor expansions of Hamiltonians with non-commuting terms, such as in the Baker–Campbell–Hausdorff formula.
en.wikipedia.org/wiki/Baker%E...
Sometimes I had to implement this by hand, so it's nice to have it built in.
en.wikipedia.org/wiki/Baker%E...
Sometimes I had to implement this by hand, so it's nice to have it built in.
Colleague: Are you going to focus your ring theory course on commutative rings?
Me: Yeah, mostly. There isn't time to do justice to noncommutative rings in a 10 week course.
C: Great!
*a few minutes later*
Wait, you are going to stick with *associative* rings, right?
Me: *grins like a maniac*
Me: Yeah, mostly. There isn't time to do justice to noncommutative rings in a 10 week course.
C: Great!
*a few minutes later*
Wait, you are going to stick with *associative* rings, right?
Me: *grins like a maniac*
December 14, 2025 at 5:00 AM
Colleague: Are you going to focus your ring theory course on commutative rings?
Me: Yeah, mostly. There isn't time to do justice to noncommutative rings in a 10 week course.
C: Great!
*a few minutes later*
Wait, you are going to stick with *associative* rings, right?
Me: *grins like a maniac*
Me: Yeah, mostly. There isn't time to do justice to noncommutative rings in a 10 week course.
C: Great!
*a few minutes later*
Wait, you are going to stick with *associative* rings, right?
Me: *grins like a maniac*
"Noncommutative metasurfaces enabled diverse quantum path entanglement of structured photons", published in Opto-Electronic Science @optoelectronadv.bsky.social Full-length paper available at oejournal.org/oes/article/...
November 16, 2025 at 2:15 PM
"Noncommutative metasurfaces enabled diverse quantum path entanglement of structured photons", published in Opto-Electronic Science @optoelectronadv.bsky.social Full-length paper available at oejournal.org/oes/article/...
in the stripped club. straight up “jorking it”. and by “it”, haha, well let’s justr say. My noncommutative ring
March 9, 2025 at 10:27 PM
in the stripped club. straight up “jorking it”. and by “it”, haha, well let’s justr say. My noncommutative ring
going into day 1 of the noncommutative algebra class and sighing loudly at the professor every time they draw a commutative diagram
August 17, 2025 at 8:23 PM
going into day 1 of the noncommutative algebra class and sighing loudly at the professor every time they draw a commutative diagram
Noetherian, in her honour. In the final stage of her career, she focused on noncommutative algebras and hypercomplex numbers and united the representation theory of groups with the theory of modules and ideals.
#linocut #printmaking #WomensHistoryMonth
#linocut #printmaking #WomensHistoryMonth
minouette.etsy.com
March 23, 2025 at 11:48 AM
Noetherian, in her honour. In the final stage of her career, she focused on noncommutative algebras and hypercomplex numbers and united the representation theory of groups with the theory of modules and ideals.
#linocut #printmaking #WomensHistoryMonth
#linocut #printmaking #WomensHistoryMonth
Not in the slightest haha
It was noncommutative geometry
It was noncommutative geometry
June 16, 2026 at 10:09 AM
Not in the slightest haha
It was noncommutative geometry
It was noncommutative geometry
There will be 2 postdoc positions to work with me in Utrecht, both for at least 2 years. One focuses on (higher-dimensional) noncommutative algebraic geometry, the other on Hilbert schemes of points on (noncommutative) surfaces.
Contact me if you are interested. More info to come soon!
Contact me if you are interested. More info to come soon!
January 9, 2026 at 3:50 PM
There will be 2 postdoc positions to work with me in Utrecht, both for at least 2 years. One focuses on (higher-dimensional) noncommutative algebraic geometry, the other on Hilbert schemes of points on (noncommutative) surfaces.
Contact me if you are interested. More info to come soon!
Contact me if you are interested. More info to come soon!
This portrait of me was done by Aleteia Greenwood about 20 years ago.
The Mathematics in it illustrates the Lie integral Gauss-Bonnet Theorem, which is a noncommutative version of the classical theorem.
The underlying noncommutative Stokes theorem is central to my work on asymptotic homotopy.
The Mathematics in it illustrates the Lie integral Gauss-Bonnet Theorem, which is a noncommutative version of the classical theorem.
The underlying noncommutative Stokes theorem is central to my work on asymptotic homotopy.
May 4, 2026 at 1:46 PM
This portrait of me was done by Aleteia Greenwood about 20 years ago.
The Mathematics in it illustrates the Lie integral Gauss-Bonnet Theorem, which is a noncommutative version of the classical theorem.
The underlying noncommutative Stokes theorem is central to my work on asymptotic homotopy.
The Mathematics in it illustrates the Lie integral Gauss-Bonnet Theorem, which is a noncommutative version of the classical theorem.
The underlying noncommutative Stokes theorem is central to my work on asymptotic homotopy.
The Euclidean algorithm may be applied to some noncommutative rings such as the set of Hurwitz quaternions. Let α and β represent two elements from such a ring. They have a common right divisor δ if α = ξδ and β = ηδ for some choice of ξ and η in the ring.
April 26, 2025 at 3:03 AM
The Euclidean algorithm may be applied to some noncommutative rings such as the set of Hurwitz quaternions. Let α and β represent two elements from such a ring. They have a common right divisor δ if α = ξδ and β = ηδ for some choice of ξ and η in the ring.