October 20, 2025 at 9:57 PM
I'm delighted that my article "Kawamata bounds for Fano threefolds and the Graded Ring Database", joint with Gavin Brown and Miles Reid, has appeared in the Nagoya Mathematical Journal. #MathSky #AlgebraicGeometry
www.cambridge.org/core/journal...
www.cambridge.org/core/journal...
Kawamata bounds for Fano threefolds and the Graded Ring Database | Nagoya Mathematical Journal | Cambridge Core
Kawamata bounds for Fano threefolds and the Graded Ring Database - Volume 261
www.cambridge.org
September 17, 2026 at 4:25 PM
I'm delighted that my article "Kawamata bounds for Fano threefolds and the Graded Ring Database", joint with Gavin Brown and Miles Reid, has appeared in the Nagoya Mathematical Journal. #MathSky #AlgebraicGeometry
www.cambridge.org/core/journal...
www.cambridge.org/core/journal...
You're learning algebraic geometry. You absolutely need this thing. What books are on it?
#MathSky #AlgebraicGeometry
#MathSky #AlgebraicGeometry
I saw in a toot described as a medieval browser with several open tabs 😅
It's not medieval, but it's called the "book’s wheel", used to open 7 books at the same time and located in the first public library in the Americas in Mexico.
It seems something that @neilhimself.neilgaiman.com would love it!
It's not medieval, but it's called the "book’s wheel", used to open 7 books at the same time and located in the first public library in the Americas in Mexico.
It seems something that @neilhimself.neilgaiman.com would love it!
January 11, 2024 at 9:11 PM
You're learning algebraic geometry. You absolutely need this thing. What books are on it?
#MathSky #AlgebraicGeometry
#MathSky #AlgebraicGeometry
Guess who struggled with a commutative diagram in tikz because of using d instead of r for a right arrow.
For those unaware, right and left in Italian are destra and sinistra.
#MathSky #AlgebraicGeometry is there a tag for growing old?
For those unaware, right and left in Italian are destra and sinistra.
#MathSky #AlgebraicGeometry is there a tag for growing old?
November 24, 2025 at 4:58 PM
Guess who struggled with a commutative diagram in tikz because of using d instead of r for a right arrow.
For those unaware, right and left in Italian are destra and sinistra.
#MathSky #AlgebraicGeometry is there a tag for growing old?
For those unaware, right and left in Italian are destra and sinistra.
#MathSky #AlgebraicGeometry is there a tag for growing old?
I give this course's last lecture tomorrow but for technical reasons we had the end of course party today.
Two students baked #AlgebraicGeometry cookies and I feel so loved.
Two students baked #AlgebraicGeometry cookies and I feel so loved.
![On a fuchsia paper napkin, five round cookies, on each a different maths formula.
\mathbb G_m
A white line with a red little arrow orthogonal to it
A=K[x,y]/I
The diagram for the valuative criterion if separateness/properness
m_x](https://cdn.bsky.app/img/feed_thumbnail/plain/did:plc:7jy6uix2a4zqcurzoxpxok4m/bafkreiehpmozlojfy72xnsfbgz35tszadxtcsexsq237sl2kum44ofvmoq)
December 17, 2025 at 11:35 AM
I give this course's last lecture tomorrow but for technical reasons we had the end of course party today.
Two students baked #AlgebraicGeometry cookies and I feel so loved.
Two students baked #AlgebraicGeometry cookies and I feel so loved.
Hilda Phoebe Hudson: The Forgotten Mathematician Behind Epidemics, Aircraft, and Geometry
voxmeditantis.com/2025/12/08/h...
#WomenInSTEM #STEM #AlgebraicGeometry #Epidemiogy #Aeronauts
voxmeditantis.com/2025/12/08/h...
#WomenInSTEM #STEM #AlgebraicGeometry #Epidemiogy #Aeronauts
Hilda Phoebe Hudson: The Forgotten Mathematician Behind Epidemics, Aircraft, and Geometry
Hilda Phoebe Hudson calculated disease spread before epidemiology existed, modelled aircraft stress during WWI, and mastered Cremona transformations – yet history erased her name from all thr…
voxmeditantis.com
December 8, 2025 at 8:19 PM
Hilda Phoebe Hudson: The Forgotten Mathematician Behind Epidemics, Aircraft, and Geometry
voxmeditantis.com/2025/12/08/h...
#WomenInSTEM #STEM #AlgebraicGeometry #Epidemiogy #Aeronauts
voxmeditantis.com/2025/12/08/h...
#WomenInSTEM #STEM #AlgebraicGeometry #Epidemiogy #Aeronauts
I really have to finish the current project. I was woken up at night again by the details of a proof, and it will keep happening until I write them down.
NB It’s a proof by analysis of possible cases/strata, not many but enough I’m afraid of missing one.
#MathSky #AlgebraicGeometry
NB It’s a proof by analysis of possible cases/strata, not many but enough I’m afraid of missing one.
#MathSky #AlgebraicGeometry
November 29, 2025 at 9:06 AM
I really have to finish the current project. I was woken up at night again by the details of a proof, and it will keep happening until I write them down.
NB It’s a proof by analysis of possible cases/strata, not many but enough I’m afraid of missing one.
#MathSky #AlgebraicGeometry
NB It’s a proof by analysis of possible cases/strata, not many but enough I’m afraid of missing one.
#MathSky #AlgebraicGeometry
I am Annoyed about A Thing so a 🧵 on my favourite point set topology definition. #AlgebraicGeometry #MathSky
A topological space is irreducible if it is non empty and every non empty open subset is dense.
Exercises
1. a Hausdorff topological space is irreducible iff it has exactly one point
1/
A topological space is irreducible if it is non empty and every non empty open subset is dense.
Exercises
1. a Hausdorff topological space is irreducible iff it has exactly one point
1/
September 11, 2025 at 5:32 PM
I am Annoyed about A Thing so a 🧵 on my favourite point set topology definition. #AlgebraicGeometry #MathSky
A topological space is irreducible if it is non empty and every non empty open subset is dense.
Exercises
1. a Hausdorff topological space is irreducible iff it has exactly one point
1/
A topological space is irreducible if it is non empty and every non empty open subset is dense.
Exercises
1. a Hausdorff topological space is irreducible iff it has exactly one point
1/
#LinearAlgebra #AlgebraicGeometry #MathSky
Let V be a vector space, dim V = d.
The map V⊗V→S²V induces
f:V→S²V⊗V*.
If d=2, coker f = (canonically isomorphic to) S³V⊗Λ²V*.
If d=3, coker f =Λ²S²V⊗Λ³V*.
This is a key step in a paper I am currently writing.
1/3
Let V be a vector space, dim V = d.
The map V⊗V→S²V induces
f:V→S²V⊗V*.
If d=2, coker f = (canonically isomorphic to) S³V⊗Λ²V*.
If d=3, coker f =Λ²S²V⊗Λ³V*.
This is a key step in a paper I am currently writing.
1/3
November 9, 2025 at 1:37 PM
#LinearAlgebra #AlgebraicGeometry #MathSky
Let V be a vector space, dim V = d.
The map V⊗V→S²V induces
f:V→S²V⊗V*.
If d=2, coker f = (canonically isomorphic to) S³V⊗Λ²V*.
If d=3, coker f =Λ²S²V⊗Λ³V*.
This is a key step in a paper I am currently writing.
1/3
Let V be a vector space, dim V = d.
The map V⊗V→S²V induces
f:V→S²V⊗V*.
If d=2, coker f = (canonically isomorphic to) S³V⊗Λ²V*.
If d=3, coker f =Λ²S²V⊗Λ³V*.
This is a key step in a paper I am currently writing.
1/3
April 7, 2026 at 4:32 PM
‘Scott of Girton’: The Woman Undergraduates Cheered Into Cambridge History
voxmeditantis.com/2025/11/25/s...
#WomenInSTEM #STEM #AlgebraicGeometry #AlgebraicCurves #AnalyticGeometry
voxmeditantis.com/2025/11/25/s...
#WomenInSTEM #STEM #AlgebraicGeometry #AlgebraicCurves #AnalyticGeometry
‘Scott of Girton’: The Woman Undergraduates Cheered Into Cambridge History
A woman silenced by deafness yet heard by undergraduates who drowned out Cambridge’s refusal to name her. From illegal exam-taker to Bryn Mawr’s founding mathematician, she demanded rig…
voxmeditantis.com
November 25, 2025 at 5:03 PM
‘Scott of Girton’: The Woman Undergraduates Cheered Into Cambridge History
voxmeditantis.com/2025/11/25/s...
#WomenInSTEM #STEM #AlgebraicGeometry #AlgebraicCurves #AnalyticGeometry
voxmeditantis.com/2025/11/25/s...
#WomenInSTEM #STEM #AlgebraicGeometry #AlgebraicCurves #AnalyticGeometry
Another lovely surprise — the rather formidable “Prokhorov Volume” from the Taiwanese J. Math. #AlgebraicGeometry #MathSky
July 30, 2026 at 8:29 AM
Another lovely surprise — the rather formidable “Prokhorov Volume” from the Taiwanese J. Math. #AlgebraicGeometry #MathSky
Online CS Theory Seminar this Fri 2026-04-10!
We're excited to have Martin Kreuzer (Uni. Passau) presenting "From Code Equivalence to Polynomial Isomorphism"
www.digital.uni-passau.de/en/profiles/...
www.colorado.edu/cs-theory/th...
#MathSky #TCSSky #complexity #AlgebraicGeometry
We're excited to have Martin Kreuzer (Uni. Passau) presenting "From Code Equivalence to Polynomial Isomorphism"
www.digital.uni-passau.de/en/profiles/...
www.colorado.edu/cs-theory/th...
#MathSky #TCSSky #complexity #AlgebraicGeometry
April 9, 2026 at 4:22 AM
Online CS Theory Seminar this Fri 2026-04-10!
We're excited to have Martin Kreuzer (Uni. Passau) presenting "From Code Equivalence to Polynomial Isomorphism"
www.digital.uni-passau.de/en/profiles/...
www.colorado.edu/cs-theory/th...
#MathSky #TCSSky #complexity #AlgebraicGeometry
We're excited to have Martin Kreuzer (Uni. Passau) presenting "From Code Equivalence to Polynomial Isomorphism"
www.digital.uni-passau.de/en/profiles/...
www.colorado.edu/cs-theory/th...
#MathSky #TCSSky #complexity #AlgebraicGeometry
July 30, 2025 at 9:42 PM
Decades of chanting “to define stability for projective varieties you need to choose an equivariant ample line bundle” without understanding that Mumford is just repurposing Hilbert’s stability criterion for group actions on vector spaces.
#AlgebraicGeometry
en.wikipedia.org/wiki/Hilbert...
#AlgebraicGeometry
en.wikipedia.org/wiki/Hilbert...
Hilbert–Mumford criterion - Wikipedia
en.wikipedia.org
November 22, 2025 at 9:40 AM
Decades of chanting “to define stability for projective varieties you need to choose an equivariant ample line bundle” without understanding that Mumford is just repurposing Hilbert’s stability criterion for group actions on vector spaces.
#AlgebraicGeometry
en.wikipedia.org/wiki/Hilbert...
#AlgebraicGeometry
en.wikipedia.org/wiki/Hilbert...
An accessible, motivated introduction to one of the most dynamic areas of mathematics.
Ravi Vakil's The Rising Sea: Foundations of Algebraic Geometry is now available (16 Dec UK pub).
Learn more: press.princeton.edu/books/paperb...
#AlgebraicGeometry #Mathematics #Math
Ravi Vakil's The Rising Sea: Foundations of Algebraic Geometry is now available (16 Dec UK pub).
Learn more: press.princeton.edu/books/paperb...
#AlgebraicGeometry #Mathematics #Math
October 22, 2025 at 5:21 PM
An accessible, motivated introduction to one of the most dynamic areas of mathematics.
Ravi Vakil's The Rising Sea: Foundations of Algebraic Geometry is now available (16 Dec UK pub).
Learn more: press.princeton.edu/books/paperb...
#AlgebraicGeometry #Mathematics #Math
Ravi Vakil's The Rising Sea: Foundations of Algebraic Geometry is now available (16 Dec UK pub).
Learn more: press.princeton.edu/books/paperb...
#AlgebraicGeometry #Mathematics #Math
Note that a small image cannot capture the whole solution set, which looks like a sphere with the poles removed.
If you’re curious, z^3+w^3=1 looks like a torus (genus 1) with three points removed. And z^n+w^n=1 is a genus (n-2)(n-1)/2 surface with n points removed.
#Mathsky #AlgebraicGeometry
If you’re curious, z^3+w^3=1 looks like a torus (genus 1) with three points removed. And z^n+w^n=1 is a genus (n-2)(n-1)/2 surface with n points removed.
#Mathsky #AlgebraicGeometry
In complex rectangular coordinates (z,w), the equation z^2+w^2=1 extends our old friend, the unit circle. Here we solve for w and branch-cut the square root over two rays to infinity.
www.diffgeom.com/product/roll...
www.diffgeom.com/product/canv...
#MathSky #MathArt #ITeachMath
www.diffgeom.com/product/roll...
www.diffgeom.com/product/canv...
#MathSky #MathArt #ITeachMath
July 30, 2025 at 5:04 PM
Note that a small image cannot capture the whole solution set, which looks like a sphere with the poles removed.
If you’re curious, z^3+w^3=1 looks like a torus (genus 1) with three points removed. And z^n+w^n=1 is a genus (n-2)(n-1)/2 surface with n points removed.
#Mathsky #AlgebraicGeometry
If you’re curious, z^3+w^3=1 looks like a torus (genus 1) with three points removed. And z^n+w^n=1 is a genus (n-2)(n-1)/2 surface with n points removed.
#Mathsky #AlgebraicGeometry
www.quantamagazine.org/string-theor... #stringtheory #algebraicgeometry #equation #manifolds #polynomials #proof #math #maths #iteachmath #MathSky
String Theory Inspires a Brilliant, Baffling New Math Proof | Quanta Magazine
Years ago, an audacious Fields medalist outlined a sweeping program that, he claimed, could be used to resolve a major problem in algebraic geometry. Other mathematicians had their doubts. Now he says...
www.quantamagazine.org
December 19, 2025 at 12:08 AM
🆕🎞️Families of Kähler spaces
Watch the talks of Kristin DeVleming, Vincent Guedj, Zsolt Patakfalvi & Carlos Simpson in Carin.tv and the Audiovisual Mathematics Library @cirm-math.bsky.social #Maths #conference #AlgebraicGeometry
library.cirm-math.fr/ListRecord.h...
www.carmin.tv/fr/c/1648
Watch the talks of Kristin DeVleming, Vincent Guedj, Zsolt Patakfalvi & Carlos Simpson in Carin.tv and the Audiovisual Mathematics Library @cirm-math.bsky.social #Maths #conference #AlgebraicGeometry
library.cirm-math.fr/ListRecord.h...
www.carmin.tv/fr/c/1648
May 20, 2025 at 10:43 AM
🆕🎞️Families of Kähler spaces
Watch the talks of Kristin DeVleming, Vincent Guedj, Zsolt Patakfalvi & Carlos Simpson in Carin.tv and the Audiovisual Mathematics Library @cirm-math.bsky.social #Maths #conference #AlgebraicGeometry
library.cirm-math.fr/ListRecord.h...
www.carmin.tv/fr/c/1648
Watch the talks of Kristin DeVleming, Vincent Guedj, Zsolt Patakfalvi & Carlos Simpson in Carin.tv and the Audiovisual Mathematics Library @cirm-math.bsky.social #Maths #conference #AlgebraicGeometry
library.cirm-math.fr/ListRecord.h...
www.carmin.tv/fr/c/1648
#MathsToday #AlgebraicGeometry Started by reviewing sheaves of modules, ended by proving key property of quasi coherent sheaves. Tomorrow applications (including definition of closed subscheme if time permits), Thursday simple counter examples.
And the weekend will have an extra day!
And the weekend will have an extra day!
October 28, 2025 at 9:29 PM
#MathsToday #AlgebraicGeometry Started by reviewing sheaves of modules, ended by proving key property of quasi coherent sheaves. Tomorrow applications (including definition of closed subscheme if time permits), Thursday simple counter examples.
And the weekend will have an extra day!
And the weekend will have an extra day!
Annamaria Ortu (Gothenburg) speaking on "Moduli of stable fibrations" at our #AlgebraicGeometry #Math seminar back in February 2024. #MathSky
Annamaria Ortu (Gothenburg)
Annamaria Ortu (Gothenburg)1 February 2024"Moduli of stable fibrations"Smooth fibrations between projective varieties can be thought of as both a generalisat...
www.youtube.com
May 29, 2026 at 4:50 PM
Annamaria Ortu (Gothenburg) speaking on "Moduli of stable fibrations" at our #AlgebraicGeometry #Math seminar back in February 2024. #MathSky
Check out Fanography, a beautiful online database of Fano threefolds. Created by Pieter Belmans. #AlgebraicGeometry #MathSky
List of Fano varieties—Fanography
A tool to visually study the geography of Fano 3-folds.
www.fanography.info
June 4, 2025 at 8:25 AM
Check out Fanography, a beautiful online database of Fano threefolds. Created by Pieter Belmans. #AlgebraicGeometry #MathSky
This is going to be a thread on my course in #AlgebraicGeometry. Today was the first lecture, I started by drawing a few classical affine schemes over the complex numbers
x²-y²=0
zx=zy=0
y²=xy=0
then I stated Chow's theorem without proof.
planetmath.org/ChowsTheorem
1.1
x²-y²=0
zx=zy=0
y²=xy=0
then I stated Chow's theorem without proof.
planetmath.org/ChowsTheorem
1.1
Chow’s theorem
planetmath.org
October 7, 2025 at 7:21 PM
This is going to be a thread on my course in #AlgebraicGeometry. Today was the first lecture, I started by drawing a few classical affine schemes over the complex numbers
x²-y²=0
zx=zy=0
y²=xy=0
then I stated Chow's theorem without proof.
planetmath.org/ChowsTheorem
1.1
x²-y²=0
zx=zy=0
y²=xy=0
then I stated Chow's theorem without proof.
planetmath.org/ChowsTheorem
1.1
Alessio Borzì (Warwick) speaking on "Weierstrass sets on finite graphs" at our #AlgebraicGeometry #Math seminar back in March 2022. #MathSky
Alessio Borzì (Warwick)
Alessio Borzì (Warwick)17 March 2022"Weierstrass sets on finite graphs"Weiestrass points and Weierstrass semigroups are classical objects of study in Algebra...
www.youtube.com
December 3, 2025 at 5:44 PM
Alessio Borzì (Warwick) speaking on "Weierstrass sets on finite graphs" at our #AlgebraicGeometry #Math seminar back in March 2022. #MathSky
🆕🎬 Galois differential Theories and transcendence
Watch the talks of Jason Bell, Leo Jimenez, Peter Jossen & Marina Poulet in the Audiovisual Mathematics Library @_CIRM #Maths #conference #NumberTheory #Logic #AlgebraicGeometry
library.cirm-math.fr/ListRecord.h...
www.carmin.tv/en/c/1627
Watch the talks of Jason Bell, Leo Jimenez, Peter Jossen & Marina Poulet in the Audiovisual Mathematics Library @_CIRM #Maths #conference #NumberTheory #Logic #AlgebraicGeometry
library.cirm-math.fr/ListRecord.h...
www.carmin.tv/en/c/1627
March 7, 2025 at 10:19 AM
🆕🎬 Galois differential Theories and transcendence
Watch the talks of Jason Bell, Leo Jimenez, Peter Jossen & Marina Poulet in the Audiovisual Mathematics Library @_CIRM #Maths #conference #NumberTheory #Logic #AlgebraicGeometry
library.cirm-math.fr/ListRecord.h...
www.carmin.tv/en/c/1627
Watch the talks of Jason Bell, Leo Jimenez, Peter Jossen & Marina Poulet in the Audiovisual Mathematics Library @_CIRM #Maths #conference #NumberTheory #Logic #AlgebraicGeometry
library.cirm-math.fr/ListRecord.h...
www.carmin.tv/en/c/1627