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2021-04-23 Advice on research and problems
2022-09-10
2022-09-14
2022-11-06 Griffiths Harris Surface Notes
A hat genus
A1 Homotopy
ADE classification
ADE singularities
AKLB setup
A_infty
Aatiyah-Singer Index Theorem
Abel-Jacobi map
Adams resolution
Adeles
Alexander duality
Algebraic Topology
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Analysis MOC
Andre-Oort conjecture
Andrew Blumberg, Floer homotopy theory and Morava K-theory
Arakelov
Arpon Raksit - Hochschild homology and the derived de Rham complex revisited
Arthur's conjecture
Artin L function
Artin approximation
Artin map
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Artin-Schreier
Artinian algebra
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Atiyah Hirzebruch spectral sequence
Atiyah bundle
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B_dr
Baratt-Priddy-Quillen
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Berkovich spaces
Bertini's theorem
Betti moduli
Beuzart-Plessis, On the spectral decomposition of the Jacquet-Rallis trace formula and the Gan-Gross-Prasad conjecture for unitary groups
Bezout's theorem
Bhatt-Lurie
Birch and Swinnerton-Dyer conjecture
Blakers Massey
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Bockstein
Bordism spectra
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Bott Periodicity
Bousfield localization
Brauer group
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BunG
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Course
CM
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Classical homological algebra
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Constructing stacks
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E6
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Elliptic cohomology
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Enriques-Kodaira Classification
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Exercises in complex AG
F1
F4
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Fundamental SESs in algebraic geometry
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Learning Goals 2021
Learning Resources: Algebraic Topology
Learning Resources: Number Theory
Learning Resources: Symplectic Topology/Geometry
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List of open conjectures in AG
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Masterclass in Condensed Mathematics
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Mock AMS 2020 Pictures
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Notes - The cotangent complex and derived de Rham cohomology
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QCoh(B) is equivalent to Rep(G)
Quantum Homology Theories
Quick Notes
Quillen K Theory
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RAPC
Ramanujan-Petersson conjecture
Rankin-Selberg convolution
Reading Group_Fargues Fontaine Curve
Reading Seminar Infty Cats Draft 1
Reading notes - Singular Points on Complex Hypersurfaces
Rees construction
Rep
representation theory
Representing cohomology
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SH
SL2
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Sample Tasks
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Shimura variety
Shimura-Taniyama-Weil
Siegel modular forms
Simpson correspondence
Skolem-Noether theorem
Spanier-Whitehead duality
Stable Homotopy Seminar
The Adams Spectral Sequence
Steenrod algebra
Stein
Stephen Hawking
Stiefel manifold
Stiefel-Whitney class
Stieltjes integral
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Strong approximation
Subjects
1
Superstring theory
THH
TQFT
Talbot Talk 1
Talbot Talk 2
Talbot Talk Outline 1
Talks
Tamagawa numbers
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Test Home
Thom form
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Three Things Exercise
Three-manifolds MOC
Todd genus
Topological cyclic homology
Torelli
Tsen's theorem
Twisted K theory
Type A
Type B
Type C
Type D
Universal family
Untitled
Tuesday, January 1
VHS
Vafa-Witten
Archimedean place
Vandiver's conjecture
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Videos
Waldhausen S construction
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Wang sequence
Weak approximation
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Weinstein
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When are spheres Lie groups
Whitehead's theorem
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Whitney trick
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Why study K theory
Witt's lemma
Yang-Mills
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Zariski Descent
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Zhiwei Yun project group
a stack is a category fibered in groupoids
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advice on talks
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Algebraic de Rham cohomology
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almost all
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Topics
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cohomology of lens spaces
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curves
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different
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discrete log problem
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elliptic genera
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For curves
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equivalence of categories
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equivariant cochains
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equivariant sheaves
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ergodic
etale
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evaluation maps
exact symplectic manifolds
exact triangle
example computations of Brauer groups
example computations of Steenrod operations
example computations of divisor class groups
example of class group computations
examples of Chern classes
examples of Chow rings
examples of K theory rings
examples of Picard group computations
examples of THH computation
examples of classifying spaces
examples of cohomology rings
examples of computations of Hodge numbers
examples of computations of etale cohomology
examples of computing Hodge diamonds
examples of derived categories
examples of etale fundamental groups
examples of fans
examples of homotopy groups
examples of homotopy groups of spectra
examples of spectral sequences
examples of toric varieties
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examples of zeta function computations
excellent
exceptional collection
exercises in toric geometry
exponential exact sequence
extended Dynkin diagrams
factorial
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factorization homology
faithful functor
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families
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fitting ideal
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flop
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foliate
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4-manifolds
fourier transform
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fractional ideal
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frame bundle
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general position
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genus-degree formula
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Global field
The Going Down Theorem
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graded mixed algebra
group actions on categories
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j invariant
kahler identities
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length of a module
level structure
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localization
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log differential forms
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mapping class group
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math_quotes
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metric tensor
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Mirror Symmetry
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mixed motives
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modern category theory
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modules are like sheaves
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moduli of formal group laws
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moment map
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most curves
motivation for spectral sequences
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multiplicative group
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nonabelian Hodge correspondence
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Normalization
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number field
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Obstruction Theory
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one parameter family
open book decomposition
open image
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orbifold
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order
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orientations of moduli spaces
orthogonal group
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p-adic integers
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p-adic formal schemes
p-adic monodromy theorem
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p-curvature
parabolic bundle
parahoric
parallelizable spheres
perfect complexes
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period
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Motivation
periodic sphere spectrum
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phantom maps
plectic conjecture
plumbing
poincare category
pointed category
polarization
polyfolds
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positive root
potentially semistable
potentially semistable conjecture
pregeometry
presentable category
presentation of a category
prestack
primary
prime avoidance lemma
prime ideal
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prismatic cohomology
profinite completion
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profinite integers
projective
projective
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properties of morphisms
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pseudofunctor
pseudoholomorphic curve
psi class
pure Hodge structure
pure motive
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Examples
q series
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quotient stack
ramification divisor
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random matrix
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ray class field
reciprocity conjecture
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Regulator of a number field
relative dimension
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representation ring
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resolution of singularities
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ring of integers
ring spectra
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scheme
scheme definitions
schemes are functors
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secondary polytope
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self intersection
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showing an analytic function is rational
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signature
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six functor formalism
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smash product
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solid mathematics
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spec Z as a curve
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sphere and disc objects in chain complexes
spherical harmonic
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spin
split torus
splitting principle
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stable homotopy group of spheres 1
stable homotopy groups of spheres
stable infinity category
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stable reduction theorem
stackification
stacks MOC
standard model
star subdivision
stochastic PDE
stratified
strict normal crossings divisor
string theory
stringy topology
stringy invariants
strong factorization
strongly convex cone
structure group
structure sheaf
structured ring spectrum
subcanonical
subschemes are zero sections
summaries
superalgebra
supersingular
surface bundle
surgery
symbol
symmetric monoidal infty category
symmetric space
symmetric spectra
symplectic
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syntomic
talk note index
tame inertia
tamely ramified
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tangent complex
tangent cone
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tate conjecture
tate duality
tautological bundle
tempered
tensor category
tensor triangulated category
tensored
the category of motives
the numerical criterion
theorem of the square
theta divisor
theta function
thick subcategory
thickening
tilting
tilting sheaf
tmf
topological K theory
topological category
topological groupoid
topological stack
topos
tor amplitude
tori
toric
toric variety
toroidal compactifications
torsion of a connection
torsor
trace (monoidal categories)
trace map
trace pairing
transfers
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triangulated categories
triangulated category
tropical geometry
twist
twisted arrow category
twisted cubic
twisted differential operator
twisting sheaves
type III degeneration
uniformization
unimodular
unit group
unitary trick
universal coefficient theorem
universal enveloping algebra
universally closed
universally closed morphism
unlikely intersection
unramified
unramified morphism
unstable homotopy groups of spheres
valuation ring
valuative criterion of completeness
valuative criterion of properness
valuative criterion of separatedness
vanishing cycles
vector bundles
vertex algebra
vertical and horizontal subspace
very general
virtual fundamental class
virtual index
vortex equation
wall-crossing
weak and hard Lefschetz theorems
weak equivalence
weak homotopy equivalence
weight filtration
weight lattice
weighted colimit
weighted point count
weighted projective space
weighted stable rational curve
weyl character formula
whiskering
wreath product
Zotnotes
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unresolved\ links\ output
Segal spaces
The appropriate notion of weak category in ∞-groupoids is that of Rezk complete Segal space
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Unsorted/Segal spaces.md
