Jackeoz' personal website
Hyperlink ∞-crossroads (AKA hyperlink hoarding)
Como ya me cansé de tener cientos de mensajes en mis mensajes
guardados de telegram, ahora voy a intentar usar este lugar para
guardar cosas útiles.
Lecturas para mi tesis y temas adyacentes
-
Basic references:
-
Benjamin Antieau, Elden Elmanto - A primer for unstable
motivic homotopy theory
-
Vladimir Voevodsky
-
A¹-homotopy theory
-
Fabien Morel, Vladimir Voevodsky
-
A¹-homotopy theory of schemes
-
Fabien Morel
-
Lectures given at School on Algebraic K-theory and its applications ICTP, Trieste
-
Fabien Morel
-
A1-algebraic topology (Survey ICM 2006)
-
Christophe Cazanave
-
Algebraic homotopy classes of rational functions
(endomorphisms of spheres)
-
Rick Jardine
-
(slides) Motivic spaces and the motivic stable category
-
Brouwer degree and enumerative stuff:
-
David Eisenbud, Marc Levine
-
An algebraic formula for the degree of a C^infty map germ
-
Andrzej Łȩcki and Zbigniew Szafraniec
-
An algebraic method for calculating the topological degree
-
Giorgi Khimshiashvili
-
Topological invariants of quadratic mappings
-
Zbigniew Szafraniec
-
Topological degree and quadratic forms
-
Jesse Leo Kass, Kirsten Wickelgren
-
The class of Eisenbud--Khimshiashvili--Levine is the local A1-Brouwer degree
-
Jesse Leo Kass, Kirsten Wickelgren
-
An Arithmetic Count of the Lines on a Smooth Cubic Surface
-
Jesse Leo Kass, Marc Levine, Jake P. Solomon, Kirsten Wickelgren
-
A quadratically enriched count of rational curves
-
Jesse Leo Kass, Marc Levine, Jake P. Solomon, Kirsten Wickelgren
-
A relative orientation for the moduli space of stable maps
to a del Pezzo surface
-
Thomas Brazelton, Stephen McKean
-
Lifts, transfers, and degrees of univariate maps
-
Thomas Brazelton, Robert Burklund, Stephen McKean, Michael
Montoro, Morgan Opie
-
The trace of the local A1-degre
-
Gereon Quick, Therese Strand and Glen Matthew Wilson
-
Representability of the local motivic Brouwer degree
-
Sabrina Pauli, Kirsten Wickelgren
-
Applications to A¹-enumerative geometry of the A¹-degree
-
Thomas Brazelton, Stephen McKean, Sabrina Pauli.
-
Bézoutians and the A¹-degree.
The published version is
here.
-
Vector bundle representability:
-
Aravind Asok, Marc Hoyois, Matthias Wendt
-
Affine representability results in A1-homotopy theory I: vector bundles
-
Tsit Yuen Lam
-
Serre's Problem on Projective Modules
-
Six operations stuff:
-
Margin Gallauer
-
An introduction to 6-functor formalisms
-
Marc Levine
-
Atiyah-Bott localization in equivariant witt cohomology
-
Denis-Charles Cisinski, Frédéric Déglise
- Triangulated categories of mixed motives
-
Marc Hoyois
-
A quadratic refinement of the Grothendieck–Lefschetz–Verdier trace formula
-
Joseph Ayoub
-
Les six opérations de Grothendieck et le formalisme des cycles
évanescents dans le monde motivique
-
Marco Robalo
-
Applications of derived algebraic geometry in enumerative
geometry and invariants of singularities
-
Brad Drew, Martin Gallauer
-
The Universal Six-Functor Formalism
-
Marc Hoyois
-
The six operations in equivariant motivic homotopy theory
(
alternative
)
-
Frédéric Déglise
-
An intoductory course on motivic homotopy
theory and rational mixed motives
-
Frédéric Déglise, Fangzhou jin, Adeel A. Khan
-
Fundamental classes in motivic homotopy theory
-
Chirantan Chowdhury
-
Motivic homotopy theory of algebraic stacks
-
Toni Annala, Marc Hoyois, Ryomei Iwasa
-
Atiyah duality for motivic spectra
-
Enhanced six operations and base change theory for higher
Artin stacks - Yifeng Liu, Weizhe Zheng
-
Prerrequisites on algebraic geometry, commutative
algebra and infinity-categories:
-
Ravi Vakil
-
The rising sea: foundations of algebraic geometry
-
Jacob Lurie
-
Higher topos theory
-
Jacob Lurie
-
Spectral algebraic geometry
-
Jacob Lurie
-
Higher algebra
-
Jacob Lurie - Kerodon: an online resource for homotopy-coherent
mathematics
-
Günter Scheja and Uwe Storch - Über Spurfunktionen bei
vollständigen Durchschnitten
-
Burchard Kaup - Ein Kriterium für platte holomorphe
Abbildungen
-
Joshua Ruiter - Galois descent
-
Keith Conrad - Galois descent
-
Milnor's K-theory and his conjectures:
-
Philippe Gille and Tamás Szamuely
-
Central simple algebras and Galois cohomology
-
John Milnor - Algebraic K-theory and quadratic forms (1970)
-
Daniel Dugger - Notes on the Milnor conjectures
-
Frédéric Déglise - Notes on Milnor-Witt K-theory
-
Antoine Delzant
-
Définition des classes de Stiefel-Whitney d'un module quadratique sur un corps de caractéristique différente de 2
-
Esnault-Kahn- Viehweg
-
Coverings with odd ramification and Stiefel-Whitney classes.
-
Motivic cohomology:
-
Vladimir Voevodsky
-
Lectures on motivic cohomology 2000/2001 (written by Pierre Deligne)
-
Carlo Mazza, Vladimir Voevodsky, Charles Weibel
-
Lectures on motivic cohomology
There is a "distillation"
here
Stuff I've been looking at recently or that I want to keep in mind
-
Antelo Vistoli - Notes on Grothendieck topologies, fibered
categories and descent theory
-
Daniel Quillen - Homology of commutative rings
also see
André, Michel (1974), Homologie des Algèbres Commutatives and
Quillen, Daniel (1970), On the (co-)homology of commutative rings
-
Daniel Quillen - Homotopical algebra
-
Charles Weibel - The K-book
-
Charles Weibel - Development of algebraic K-theory until 1980
-
Michael Atiyah - K-theory
-
Guide to the Serre spectral sequence in 10 easy steps!
-
Mark Shoemaker
-
Watch out for his enumerative geometry notes for a workshop in
Costa Rica (2019)
-
Andrei Bud and Dawei Chen
-
Moduli of Differentials and Teichmüller Dynamics
-
MIT OpenCourseWare: Vector bundles and principal bundles
-
Cohomology theories in algebraic geometry -
Cohomology theories in motivic stable homotopy theory -
Andreas Holmstrom
-
Agnès Beaudry and Jonathan A. Campbell
-
A Guide for Computing Stable Homotopy Groups
-
Ravi Vakil - Puzzling through spectral sequences
-
Simplicial localizations of categories
William G. Dwyer, Daniel M. Kan
-
Daniel Dugger, Sharon Hollander, Daniel C. Isaksen
-
Hypercovers and simplicial presheaves
-
Chi-Kwong Fok
-
A stroll in equivariant K-theory
-
Jacob Lurie
-
A survey of elliptic cohomology
-
Dan Edidin
-
What is... a stack?
-
Jarod Alper
-
Notes on stack and moduli
and
youtube lectures
-
Ben Heuer
-
Notes on rigid analytic geometry
-
Seven short stories on blowups and resolutions
-
What is... a motive? - Barry Mazur - Document Zbl 1054.14511
- zbMATH Open
-
The HoTT game
-
Lichtenbaum and Schlessinger - The cotangent complex of a
morphism
-
Introduction to the language of stacks and gerbes - Ieke Moerdijk
-
Atiyah and Rees - Vector bundles on projective 3-space
-
Morgan Opie - A classification of complex rank 3 vector
bundles on complex projective 5-space
-
Atiyah and Hirzebruch - Riemann-Roch theorems for
differentiable manifolds
-
Gereon Quick - Math 231b.
-
Inna Zakharevich - K-theory and characteristic classes: a
homotopical perspective
-
Steven D. Galbraith - Equations for modular curves
-
Sara Angela Filippini, Helge Ruddat, Alan Thompson
-
An introduction to Hodge structures
Current seminars and colloquiums
Articles I'll check out some day
Past courses and seminars
Cool maths stuff, mostly personal webpages and blogs
-
People:
-
My friend Ernesto's website
-
Alonso Castillo Ramírez (UDG)
-
Keith's blog
-
Connor Lane's blog
-
Allen Hatcher
-
Daniel Dugger
See, e.g.,
Grothendieck groups of complexes with null homotopies
and his book in progess:
Sheaves and homotopy theory
-
Javier J. Gutiérrez,
y más
Javier J. Gutiérrez
See,
K-theory groups of the spheres
-
Adam Block
-
Donu Arapura
-
ERGÜN YALÇIN
-
Keith Conrad
-
Dmitri Pavlov
-
Tyler Lawson.
He has
Mark Hovey's list of open problems in model category theory
-
Matt Kawski and his Vector field analyzer
-
Ben Lynn
and his post
All Hail Geometric Algebra!
-
Peter Belmans
and his post on the
Atlas of Spec Z[X]
-
Dexter Chua
and his series of posts on
Motivic homotopy theory
-
Francis Villatoro
y su post en
Naukas
sobre
La obra de Alexander Grothendieck (1928-2014)
-
Eric Phorgy
(yes the one from the differential forms discussion with John Baez)
-
Amelia's blog
and their posts
Reflections on equality
,
On induction
,
and
Cubical type theory
-
Tobias J. Osborne's blog: research notes
-
Jason Polak is moving websites, so there is
blog.jpolak
and also
jpolak
.
I liked the post "Being Noetherian is not a local property...
or is it?" but I can't seem to find it now.
-
Samuel Li's projects
and his super famous
Hopf fibration visualization
-
Mark Barbone's personal webpage:
The cohomology of your programming language is boring
-
Anton Zeitlin's personal webpage:
He has nice notes for conformal field theory and mathematical physics in his "teaching" section
-
Akhil Mathew's blog Climbing Mount Bourbaki
and his posts on
Understanding the derived infinity-category
and
The universal property of the derived infinity-category
-
Matthias Künzer
has some interesting stuff about Grothendieck, including
Hoàng Xuân Sính's thesis on Gr categories
which predate the modern notion of 2-groups
-
Keith Conrad
and his
expository papers
-
A bit of what remains of
Michael Harris's web page
-
Tai-Danae Bradley's blog Mathema
-
Ingo Blechschmidt
-
Paolo Aluffi
-
Andrej Bauer
has some interesting posts, like
Intuitionistic mathematics for physics
or
Computing an integer using a Grothendieck topos
-
Aise Johan de Jong
-
Robert Harper
and his blog
Existential type
-
Alex Youcis
See their post
On unramified morphisms
-
The
neverendingbooks
blog and its
original location.
See the posts on
Mazur’s knotty dictionary
and
children have always loved colimits
-
Orr Shalit's - Noncommutative analysis: a blog
-
Logan Hyslop - Ramblings of an Aspiring Mathematician
-
The
AltExploit
blog. See their post on
Spinors, Twistors and Ontologies of SpaceTime
-
John Baez' blog
week 201 findings in mathematical physics
-
Other interesting readings or projects:
-
Über die Null, den leeren Raum und andere triviale Fälle
-
The adjectives project
-
The Stacks project
-
The CRing project
-
Mumford: on errors in mathematics.
-
Groupprops
is an online database of properties of groups. See, e.g. the
Projective special linear group:PSL(2,C)
-
Quanta magazine: The fight to fix symplectic geometry
-
google groups: Planck Units and (slowly) changing Fine-Structure Constant
-
Timetoast 1901-1955 History of Mathematics Timeline | Timetoast timelines
-
cantorsparadise: The Anarchist Abstractionist — Who was Alexander Grothendieck? | by Jørgen Veisdal | Cantor’s Paradise
-
Motivos matemáticos / Artículos
-
Two Cultures in mathematics.
This is an nLab article but reads like a blog
-
In
Ask a topologist
there is an interesting post on the
Difference between limit, cluster, and accumulation points
-
Récoltes et Semailles I, II - Tel - GALLIMARD - Site Gallimard
-
Old Pappus' Book of Mathematical Calligraphy
-
Vladimir Arnold - Wikiquote
-
*nLab -- General Discussion | The n-Category Café
An old thread discussing the nLab.
-
Grant Glouser
and his
Cut and project tiling
project
-
Gregory Constantine's post on group theory,
specially the one on
Sylow's theorems
-
Todd Trimble's notes
in John Baez web page. See, e.g., his
note on weak 4-categories
-
One can calculate Gröbner bases using Sage,
see
the documentation,
especially at
polynomial rings.
There is an online interpreter at
Sage Cell Server
-
nCategory cafe - On a topological topos - Emily Riehl
-
Category theory Zulip chat archive
-
antoniobehn: La simplicidad del grupo alternante
Actualización. El sitio web de
Antonio Behn ya no existe. Lo primero que aparece al buscar su
nombre son declaraciones contradictorias acerca de un acto
de represión estudiantil.
-
About formulating Cauchy's initial value problem in higher
dimensions.
I literally searched "cauchy problem higher order
partial differential equations".
-
Cauchy problem - Encyclopedia of Mathematics
-
Cauchy problem - Wikipedia
-
The Cauchy Problem for Higher Order Equations | SpringerLink
-
MSE: Best Book For Differential Equations?
-
Lectures on partial differential equations - Arnold
-
Topic 14.8: Higher-Order Initial-Value Problems
Más enlaces
Wikipedia
Enlaces del nLab
- internal hom of chain complexes in nLab
- derived category in nLab
- homotopy category of chain complexes in nLab
- Introduction to Stable homotopy theory -- 1-1 in nLab
- classifying space in nLab
- Dold-Kan correspondence in nLab
- geometric realization in nLab
- co-Yoneda lemma in nLab
- analytic versus synthetic in nLab
- fiber sequence in nLab
- spectral sequence in nLab
- prime spectrum of a symmetric monoidal stable (∞,1)-category in nLab
- locally presentable category in nLab
- torsion theory in nLab
- pointed object in nLab
- graph of a functor in nLab
- stack in nLab
- subobject classifier in nLab
- (sub)object classifier in an (infinity,1)-topos in nLab
- quasitopos in nLab
- 2-group in nLab
- connected space in nLab
- extension system in nLab
- algebra over a monad in nLab
- pointed endofunctor in nLab
- module object in nLab
- Pontrjagin dual in nLab
- cohesive homotopy type theory in nLab
- rational number in nLab
- over category in nLab
- twisting function in nLab
- Schur-Weyl duality in nLab
- operad in nLab
- logos in nLab
- vertical categorification in nLab
- sieve in nLab
- quasicoherent sheaf in nLab
- braid group in nLab
- quiver representation in nLab
- simplicial localization in nLab
- modular tensor category in nLab
- moment map in nLab
- van Kampen theorem in nLab
- cluster algebra in nLab
- Quillen exact category in nLab
- stable (infinity,1)-category in nLab
- condensed set in nLab
- exceptional geometry in nLab
- Clifford algebra in nLab
- Bott periodicity in nLab
- Dirac field in nLab
- field bundle in nLab
- Schouten bracket
- spinor bundle
- Clifford algebra
- Bott periodicity
- superymmetry
- special unitary group
- Majorana spinor
- spin representation
- Motivic homotopy theory
- spectral sequence of a filtered complex
- classical model structure on topological spaces
- stable homotopy category
- stable homotopy theory
- stable (infinity,1)-category
-
- --homotopy, (stable) infinity categories--
- (n,r)-category, (infinity,1)-category
- (infinity,n)-category of correspondences
- higher category theory
- homotopical category
- derived category
- model category
- combinatorial model category
- (infinity,1)-categorical hom-space
- locally presentable (infinity,1)-category
- left Bousfield localization of model categories
- stable (infinity,1)-category
- weak homotopy equivalence
- introduction to homotopy theory
- homotopy hypothesis
- category with weak equivalences
- weak factorization system
- lift
- serre fibration
- modulating morphism [looking for what does it mean for a diagram in an infinity category to commute]
- homotopy theory FAQ
-
- --stable infinity categories--
- internal hom of chain complexes
- derived category
- triangulated category
- suspended category
- a survey of elliptic cohomology - E_infinity rings and derived schemes
- homotopy category of chain complexes
- prime spectrum of a symmetric monoidal stable (infinity,1)-category
- stable (infinity,1)-category
-
- --categorical algebra--
- pseudofunctor
- monoidal category
- principle of equivalence
- regular morphism, effective morphism
- regular, exact, protomodular, semi-abelian category
- congruence [look for "effective congruence"]
- localization
- double category
- internal category
- group, groupoid, n-groupoid
- 2-group [also, automorphism 2-group]
- 2-congruence [i was looking for the definition of quotient category]
- Grp, Mod, Infinity-Grpd
- Galois theory
-
- --toposes, fibered cats, logic--
- coverage
- Grothendieck pretopology, Grothendieck topology
- Grothendieck fibration, Grothendieck construction
- base change, dependent sum, dependent product
- internal logic, syntactic category, categorical semantics
- locale, frame
- gerbe
- span
- source, target
- spectrum
- type theory, context
- infinity-space
- subobject classifier
- domain opfibration, codomain fibrationnono
-
- --(higher) physics, cohomology--
- Cartan calculus
- Cartan's homotopy formula
- geometry of physics
- motivation for sheaves, cohomology and higher stacks
- space and quantity
- algebraic analysis
- Hegelian taco
- arithmetic jet space
- arithmetic differential geometry
- vielbein
- orthogonal structure
- reduction and lift of structure groups
- Künneth theorem
- Serre spectral sequence
- spin representation
Kerodon tags:
Math questions
Physics questions
Paleobiología y evolución humana
Extinciones masivas