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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
Algebraic Variety
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-Rees theorem
Artin-Schreier
Artinian algebra
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Atiyah Hirzebruch spectral sequence
Atiyah bundle
Azumaya algebra
BGG resolution
BV algebra
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B_dr
Baratt-Priddy-Quillen
Barr-Beck
Barratt-Priddy-Quillen
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
Blakers Massey theorem
Bockstein
Bordism spectra
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Bott Periodicity
Bousfield localization
Brauer group
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Bredon cohomology
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BunG
Burnside ring (algebraic geometry)
Burnside ring (homotopy theory)
Course
CM
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Classical homological algebra
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Cohen-Macaulay
Cohomology of BSO
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Constructing stacks
Contact
Contact Project Draft 2
Contact project
Coxeter fan
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Cremona transformation
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Deformation space
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differential geometry
Dirac equation
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Dirichlet's unit theorem
Dolbeaut cohomology
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Drinfeld center
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Dynkin diagrams
E6
E7
E8 lattice
EHP sequence
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Eilenberg-MacLane spaces
Eilenberg-Mazur swindle
Einstein equations
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Elliptic cohomology
Enriques surface
Enriques-Kodaira Classification
Euler class
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Exercises in complex AG
F1
F4
FJRW theory
Faltings theorem
Fano variety
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Fundamental SESs in algebraic geometry
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Harvard Real Analysis HW and Solutions
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Holonomy Classification
Homological Algebra Talk
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IC
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Introduction to infinity categories
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K theory in AG
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Kervaire invariant one
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Learning Goals 2021
Learning Resources: Algebraic Topology
Learning Resources: Number Theory
Learning Resources: Symplectic Topology/Geometry
Lefschetz 1-1 theorem
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Leray spectral sequence
Lichtenbaum-Quillen conjectures
Lie algeberoid
Lie algebra
Lie algebra types
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Liouville vector field
List of open conjectures in AG
Log geometry
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Lubin-Tate theory
Luna etale slice theorem
Luna's slice theorem
Mackey functor
Madsen-Tillmann spectrum
Manifolds Definitions
Mapping cylinder
Maschke's theorem
Masterclass in Condensed Mathematics
Math Reading List
Mathematician interviews
Maurer-Cartan
May recognition principle
Mazur Program B
McKay correspondence
Milnor Conjecture
Milnor K theory
Milnor fibration
Minkowski bound
Mirzakhani
Mock AMS 2020 Pictures
Model category theory
Moore spaces
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Morava E theory
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Mordell-Lang conjecture
Mordell-Weil
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Morita equivalence
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Mostow rigidity
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Neron Severi
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Nishida's Theorem
Nisnevich topology
Noether Normalization
Noetherian
Noetherian induction
Noetherian scheme
Notes - The cotangent complex and derived de Rham cohomology
Novikov ring
Number theory
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O(D) for D a divisor
O_X and divisors
O_X module
Obstruction theory in homotopy
Open Problems
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P=W conjecture
PBW basis
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Physics
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Principal series representations
Prismatic Cohomology Notes
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QCoh(B) is equivalent to Rep(G)
Quantum Homology Theories
Quick Notes
Quillen K Theory
Quillen adjunction
Quillen equivalence
Quillen minimal model program
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
Ricci curvature
Ricci flow
Ricci-flat
Riemann Hypothesis
Riemann Zeta
Riemann surface
Riemann zeta function
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SH
SL2
SO3
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Sample Tasks
Sard-Smale
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Schoenflies conjecture
Schubert
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Serre fibration
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Serre's conjecture on vector bundles
Serre's criterion
Serre-Swan
Serre-Tate theory
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
Stokes theorem
Stone-Cech compactification
Strong approximation
Subjects
1
Superstring theory
THH
TQFT
Talbot Talk 1
Talbot Talk 2
Talbot Talk Outline 1
Talks
Tamagawa numbers
Tannaka-Krein duality
Tannakian
Tate module
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Test Home
Thom form
Thom space
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
Videos
Videos
Waldhausen S construction
Waldhausen manifold
Wang sequence
Weak approximation
Weierstrass p function
Weil Conjectures
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Weil divisor
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Weil restriction
Weil zeta function
Weinstein
Weyl algebra
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When are spheres Lie groups
Whitehead's theorem
Whitehead torsion
Whiteney embedding theorem
Whitney trick
Whitney umbrella
Why study K theory
Witt's lemma
Yang-Mills
Yoneda lemma
Zariski Descent
Zariski tangent space
Zariski's lemma
Zariski's main theorem
Zariski's theorem
Zhiwei Yun project group
a stack is a category fibered in groupoids
abelian category
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absolute Galois group
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accessible functor
accidental isomorphisms
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adelic group
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advice on talks
affine Grassmannian
algebra over a ring
algebraic curve
Algebraic de Rham cohomology
algebraic group
algebraic space
almost all
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almost mathematics
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alteration
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applications of Weil conjectures
arithmetic Chow
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Topics
belong
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cohomological criterion for ampleness
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cohomology of infinite complex projective space
cohomology of lens spaces
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cohomology operations
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complex K theory
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computational properties of Chow
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condensed set
conductor
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covering
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crystalline conjecture
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curves
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cyclotomic character
de Rham conjecture
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deformation theory is controlled by dg Lie algebras
deformation to the normal cone
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dg Lie algebras
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different
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disambiguating completion and localization
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discrete log problem
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dualizable objects in a category
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dualizing sheaf
dynamics
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effective descent
elliptic complex
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elliptic genera
elliptic operator
For curves
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enriched category
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equivalence of categories
equivariant
equivariant K theory
equivariant cochains
equivariant cohomology
equivariant functor
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equivariant sheaves
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ergodic
etale
etale comparison theorem
etale descent
etale fundamental group
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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
examples of varieties
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
faithfully flat
families
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field norm
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fitting ideal
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flop
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foliate
formal cohomology
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4-manifolds
fourier transform
fppf
fpqc
fractional ideal
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frame bundle
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function field
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general position
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genus-degree formula
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gerbe
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Global field
The Going Down Theorem
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gonality
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graded mixed algebra
group actions on categories
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herbrand quotient
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homology sphere
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homotopy equivalent manifolds are cobordant
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homotopy theory
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hypercohomology
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ideal correspondence for localizations
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infinity categories
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inverse Galois problem
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j invariant
kahler identities
klt
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l-adic cohomology
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left invariant vector field
length of a module
level structure
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local complete intersection
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local theta correspondence
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localization (category theory)
localization
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log differential forms
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loop space
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manifold with corners
mapping class group
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math_quotes
maximal abelian extension
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metric tensor
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Mirror Symmetry
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modern category theory
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modular curve
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modules are like sheaves
modules over a category
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moduli of formal group laws
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moment map
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monodromy conjecture
monodromy representation
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most curves
motivation for spectral sequences
motivation for stacks
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moving lemma
multiplicative group
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nearby cycle functor
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nilpotent completion
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nonabelian Hodge correspondence
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norm group
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Normalization
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number field
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numerically equivalent
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Obstruction Theory
obstruction-deformation theory
one parameter family
open book decomposition
open image
open immersion
open immersion of schemes
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operad
orbifold
orbifold fundamental group
order
orientable
orientations of moduli spaces
orthogonal group
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p-adic integers
p-adic Hodge theory
p-adic formal schemes
p-adic monodromy theorem
p-adic zeta function
p-curvature
parabolic bundle
parahoric
parallelizable spheres
perfect complexes
perfect field
perfect ring
perfectoid
period
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Motivation
periodic sphere spectrum
perverse sheaf
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phantom maps
plectic conjecture
plumbing
poincare category
pointed category
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polyfolds
polytope
positive root
potentially semist