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2022 Research
05-20-2022
2022-05-25
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2022-06-01_16-15
2022-06-02_20-21
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2022-06-25
2022-07-07
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2022-07-27
2022-08-06
2022-08-10
2022-09-21
2022-09-28
900_Changelog
Todos
Day Planners
Tuesday, May 31
Wednesday, June 1
Thursday, June 2
Monday, June 6
Tuesday, June 7
Wednesday, June 8
IW-Queues
AG_Review_Q
queue
MOCs
Advice
Giant Math Term Index
elliptic curve
Projects
0000 Reading Notes
Sarkar-Wang Algorithm for Heegaard-Floer
Audin-Damian Morse Theory and Floer Homology Reading Notes
Barnes and Roitzheim Reading Notes
Bott and Tu Reading Notes
Griffiths and Morgan Reading Notes
Higher Topos Theory Reading Notes
Krantz Mathematician Survival Guide Reading Notes
0000 Talks
2022 Sp GSS
AWS Recap
Untitled
Untitled
Untitled
Untitled
Untitled
Derived Stacks
000 Why stacks
001 What is a derived stack
002 Toen Paper
003 Toen Paper 2 Quantization
Motivation
Motivation: Intersection Theory
Talk Surface bundles, mapping class groups, moduli spaces, and cohomology
2019 AWS
AWS 2019 Background Definitions
Arizona Winter School 2019
Condensed Mathematics
Floer Reading Group Fall 2020
2020 Floer Reading Group
Floer Talk 4: Section 8.6 - 8.8: Setup for Computing the Index
Fukaya Talk 1
2022-09-18
2022-09-20
Progress
2020 Formal Groups and Spectra
Formal Groups Reading Notes
Class Field Theory Notes (Pete Clark)
Chern Simons and TFTs MSRI Fall 2021
2021 Fargues Fontaine
Fargues-Fontaine Reading Notes
2021 Fargues Fontaine MOC
Representation Stability, ECHT Minicourse Notes
2022 AWS
AWS 2022: Automorphic Forms Beyond
\(\operatorname{GL}_2\)
Automorphic Forms and Langlands Kevin Buzzard Notes
2022 Advanced Qual Projects
Algebraic Number Theory
Algebraic Number Theory
Problems
020 Defiinitions
Characteristic Classes
Resources
Problem Set 1
Problem Set 2
Commutative Algebra
Commutative Algebra MOC
References: Commutative Algebra
Commutative Algebra: Definitions
Commutative Algebra: Main Results
Commutative Algebra Problems
030 Examples
500 Problems
Chapter1
Exercise
600 Notes
Ch 1 Notes
900 AM Notes
Elliptic Curves
Elliptic Curves
Geometry and Topology
Differential Geometry Books and Notes
00_Topics
Problems
Problems (Differential Geometry)
Homological Algebra
Resources (Homological Algebra)
Useful Facts
Course Exercises
Homological Algebra Problem Sets
Homological Algebra Problem Sets
Homological Algebra Problem Sets
Homological Algebra
Homological Algebra
Homological Algebra
Homological Algebra
Friday, January 29
Hom and Ext
Tensor and Tor
Real Analysis
Qual Real Analysis
Symplectic Geometry
Symplectic Geometry
2022 DRP
Dirichlet’s Theorem: Statement
Fourier Analysis
Gaussian Primes
DRP PNT
DRP Rational Points
2022 Reading Group
Untitled
Untitled
2022 Summer Jacobians
2022-07-26
2022-07-27
Talk Outline V1
2022 Talbot
2022 Talbot
2022 Talbot Talk Outline V2
2022 Talbot Talk Outline V3
First pass paper notes
Talbot
Deformation Theory Notes
9999IP Homological Stability
Homological Stability Lectures
Lecture 1 (Tuesday ?)
Lecture 2 (Thursday ?)
Lecture 3 (Thursday, May 06)
Lecture 4 (Thursday, May 13)
Stacks, Jarod Alpers Minicourse Notes
Symplectic Geometry, Course Notes
Oral_Exam
Looijenga
2022-11-05
2022-11-06
Notes
2022-11-10
McKernan AG 2
Mckernan AG 1
Nonlinear Algebra 1
Toric Varieties 1
Untitled
2021 Topological Recursion Research Project
Quick_Notes
2021-01-03
2021-01-05
2021-01-19
2021-01-20
2021-01-21
2021-03-17
2021-03-24
2021-03-25
2021-03-26
2021-03-28
2021-04-02
2021-04-03
2021-04-04
2021-04-08
2021-04-09
2021-04-11
2021-04-12
2021-04-14
2021-04-15
2021-04-16
2021-04-17
2021-04-18
Prismatic cohomology
2021-04-22
2021-04-23
2021-04-25
2021-04-26
2021-04-29
2021-04-30
2021-05-01
2021-05-02
2021-05-03
2021-05-04
2021-05-05
2021-05-06
2021-05-08
2021-05-10
2021-05-11
2021-05-12
2021-05-13
2021-05-18
2021-05-22
2021-05-24
2021-05-25
2021-06-04
2021-06-05
2021-06-06
2021-06-20
2021-06-22
2021-08-05 quick_note
2021-09-12
2021-09-14
2021-09-16
2021-09-19
2021-09-20
2021-09-23
2021-09-24
2021-10-02
2021-10-03
2021-10-04
2021-10-05 quick_notes
2021-10-06
2021-10-08
2021-10-13
2021-10-18
2021-10-19
2021-10-24
2021-10-25
2021-10-27
2021-10-29
2021-11-01
2021-11-03-quick_note
2021-11-04
2021-11-05
2021-11-08
2021-11-09
2021-11-10
2021-11-22
2021-11-29
2021-11-30
2021-12-06
2021-12-22
2022-01-16
2022-01-17
2022-01-18
2022-01-21
2022-01-22
2022-01-23
2022-01-24
2022-01-25
2022-01-26
2022-01-28
2022-02-07
2022-02-08
2022-02-09
2022-02-14
2022-03-23
2022-03-25-quick_note
2022-03-28
2022-05-29
2022-06-01
2022-06-20
Seminars and Talks
The Galois action on symplectic K-theory
2021-04-29_2 Yves Andre On the canonical, fpqc and finite topologies
Ribet, “Class groups and Galois representations”
To Review
Sunday, September 13
2020-09-19 Real Analysis Undergrad Tips
2021-04-25_classifying_hotop_blog_ideas
2021-04-25_fiber_bundles_ug
2021-04-25_representing_KGn_geometrically
2021-04-25_vector_bundles_ug
2021-04-26_Big_Theorems_in_Algebraic_Topology
2021-04-26_Characteristic_Classes
2021-04-26_Cohomology_of_SOn
2021-04-26_Cohomology_ring_of_CP2_using_spectral_sequences
2021-04-26_Higher_homotopy_of_S2
2021-04-26_Homotopy_Groups_of_Other_Spaces
2021-04-26_Journals
2021-04-26_Low_vs_High_Dimensional_Topology
2021-04-26_Principal_Bundles
2021-04-26_Research_Notes_1-21-2018
2021-04-26_Research_Notes_4-18-2018
2021-04-26_Spectral_Sequences
2021-04-26_Spectral_Sequences_Paper
Summary
Research Meeting Notes, January 17
2021-04-26_Why_study_characteristic_classes
2021-04-26_Why_study_cobordism
2021-04-28_AWS_BG_Formal_Groups
2021-04-28_GT_2020_Conference_Talks
2021-04-28 Homotopy groups of spheres, talk outline
Mapping Class Groups
2021-04-28_Mock_AMS_2020_Ideas
Interesting Topological Spaces in Algebraic Geometry
Interesting Topological Spaces in Algebraic Geometry
Weinstein Reading Notes
2021-04-28_Morse_Theory_GSTS_2020
2021-04-28_Numerical_Analysis_Review
2021-04-28_Symplectic_and_Contact_Notes
2021-04-28_Undergrad_Geometry_Term_Paper
Notes on Weil Conjectures
2021-04-28_Weil_Conjectures_2
Weil Conjectures Notes
2021-04-28_Weil_Conjectures_4
CRAG
2021-04-28_Weinstein_Reading_Notes
A guide for computing stable homotopy groups
Algebraic K Theory for schemes
Etale group schemes and p-divisible groups
Filtrations and the Serre spectral sequence
Path Loop Fibration
Proving the Five Lemma Using Spectral Sequences
Spectral Sequence of a filtration
Spectral sequence of a Serre fibration
Spectral sequence of a two step filtration
Unsorted
2-category
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
Artin stack
Artin symbol
Artin-Rees theorem
Artin-Schreier
Artinian algebra
Artinian category
Atiyah Hirzebruch spectral sequence
Atiyah bundle
Azumaya algebra
BGG resolution
BV algebra
BV quantization
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
Borel
Borel regulator
Bott Periodicity
Bousfield localization
Brauer group
Brauer-Manin obstruction
Bredon cohomology
Brill-Noether theorem
Brown-Peterson spectra
BunG
Burnside ring (algebraic geometry)
Burnside ring (homotopy theory)
Course
CM
CM field
CSM class
CW approximation
CW complex
CY metric
Calabi-Yau
Calabi-Yau fourfold
Calabi-Yau manifold
Calabi-Yau object of a category
Cartesian closed category
Casson invariant
Castelnuevo's criterion
Cauchy completion
Cayley-Hamilon theorem for modules
Cech cohomology
Chebotarev density
Chern class
Chern-Ruan theory
Chern-Simons
Chern-Simons invariant
Chevalley-Eilenberg complex
Chow ring
Chow's theorem
Classical homological algebra
Clifford algebra
Cohen-Lenstra
Cohen-Macaulay
Cohomology of BSO
Cohomology of loop spaces of spheres
Constructing stacks
Contact
Contact Project Draft 2
Contact project
Coxeter fan
Coxeter group
Cremona transformation
D modules
DG category
DGA
DVR
Day convolution
Dedekind domain
Dedekind zeta function
Dedekind-Kummer theorem
Deformation space
Dehn invariant
Deligne-Mumford stack
Dessin d'enfant
Dieudonne module
differential geometry
Dirac equation
Dirichlet's theorem
Dirichlet's theorem on primes in arithmetic progressions
Dirichlet's unit theorem
Dolbeaut cohomology
Dold-Kan correspondence
Donaldson-Thomas invariants
Drinfeld center
Drinfeld module
Dwyer-Kan equivalence
Dynkin diagrams
E6
E7
E8 lattice
EHP sequence
E_n ring spectrum
Eilenberg-MacLane spaces
Eilenberg-Mazur swindle
Einstein equations
Eisenstein polynomial
Eisenstein series
Elliptic cohomology
Enriques surface
Enriques-Kodaira Classification
Euler class
Euler exact sequence
Euler sequence
Exercises in complex AG
F1
F4
FJRW theory
Faltings theorem
Fano variety
Fermat quartic
Fermat's Last Theorem
Finset
Floer homotopy
Fontaine-Mazur conjecture
Formal group
Fourier-Mukai
Fredholm operator
Freudenthal suspension
Frobenius kernel
Frobenius morphism
Frobenius twist
Fuchsian group
Fukaya category
Fundamental SESs in algebraic geometry
Fundamental SESs in commutative algebra
G theory
G2
GAGA
GIT quotient
GLSM
GRH
GUE
Galois cohomology
Galois correspondence
Galois descent
Galois representations
Galois spectra
Galois theory
Gamma function
Gauss' lemma
Gauss-Manin
Gelfand duality
Gelfand representation
General relativity
Geometric Topology (Subject MOC)
Geometrization
Gerstenhaber bracket
Giroux correspondence
Goldfeld conjecture
Goodwillie calculus
Gorenstein
Grassmannian
Gromov compactness
Gromov-Witten invariants
Grothendieck category
Grothendieck monodromy theorem
Grothendieck-Riemann-Roch
Gysin sequence
H-space
THH
HKR
HOTT
Haar measure
Hamiltonian
Hard Lefschetz
Harvard Real Analysis HW and Solutions
Hasse bound
Hasse bounds
Hasse invariant
Hasse principle
Hasse-Weil L function
Hasse-Weil Zeta
Hausdorff measure
Haydys-Witten
Hecke stack
Heegard-Floer homology
Hensel's Lemma
Hermite-Minkowski
Hermitian K theory
Hessian
Higgs bundle
Hilbert 12
Hilbert 21
Hilbert 90
Hilbert Basis Theorem
Hilbert class field
Hilbert scheme
Hilbert series
Hilbert symbol
Hill-Hopkins-Ravenel
Hirzebruch-Riemann-Roch
Hitchin moduli space
Hochster's Direct Summand Conjecture
Hodge F-crystal
Hodge decomposition
Hodge diamonds
Hodge filtration
Hodge index theorem
Hodge polygon
Hodge star
Hodge theory
Hodge-Tate conjecture
Hodge-Tate representation
Hodge-Tate theory
Hodge-to-deRham degeneration
Holonomy Classification
Homological Algebra Talk
Homological Stability Course Notes
Homotopy of schemes
Hopf algebra
Hopf fibration
Hopf invariant one
Hurewicz
Hurwitz space
Hurwitz theorem
IC
Ideles
Ind construction
Ind objects
Infinite loop space
Infinity category talk
Integration along the fiber
Introduction to infinity categories
Iwasawa decomposition
Iwasawa theory
J-homomorphism
Jacobi theta
Jacobian
Jacobian conjecture
K theory in AG
K-Theory
K3 surface
K3 Surfaces
Kahler
Kahler problem
Kan complex
Kan extension
Kapustin-Witten
Kazhdan Lusztig conjecture
Kervaire invariant one
Killing form
Kloosterman sums
Topics
Kodaira vanishing
Kodaira-Parshin
Kodaira-Parshin trick
Kodaira-Spencer
Kronecker symbol
Kronecker-Weber theorem
Krull dimension
Krull's intersection theorem
Krull's principal ideal theorem
Krull's theorem
Kummer sequence
Kummer theory
Kuranishi spaces
L function
L infty algebra
Lagrangian
Lagrangian Floer homology
Landweber exactness
Langlands
Laplace-Beltrami operator
Lawrence-Venkatesh
Lazard ring
Learning Goals 2021
Learning Resources: Algebraic Topology
Learning Resources: Number Theory
Learning Resources: Symplectic Topology/Geometry
Lefschetz 1-1 theorem
Lefschetz fibration
Lefschetz fixed point theorem
Lefschetz hyperplane theorem
Lefschetz motive
Lefschetz principle
Leray spectral sequence
Lichtenbaum-Quillen conjectures
Lie algeberoid
Lie algebra
Lie algebra types
Lie algebra valued form
Lie algebroid
Lie group
Liouville manifold
Liouville vector field
List of open conjectures in AG
Log geometry
Looijenga's conjecture
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
Moore spectrum
Morava E theory
Morava K theory
Mordell-Lang conjecture
Mordell-Weil
Mordell-Weil rank
Mori cone
Mori fiber space
Morita equivalence
Morse Theory
Morse homology
Morse lemma
Mostow rigidity
Nakayama's lemma
Neron Severi
Neron-Tate height
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
Nygaard filtration
O(D) for D a divisor
O_X and divisors
O_X module
Obstruction theory in homotopy
Open Problems
Oxford course codes
P=W conjecture
PBW basis
Paper Reading List
Papers to Read
Pell equation
Physics
Picard Lefchetz theory
Picard group
Picard-Fuchs
Pin group
Plucker embedding
Poincare Lemma
Poincare bundle
Poincare conjectures
Poincare homology sphere
Poincare series
Poisson structure
Poisson summation
Pontrayagin class
Pontrayagin-Thom
Pontryagin dual
Principal series representations
Prismatic Cohomology Notes
Proj
Project Ideas
Project Queue
Projects
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
Riemann-Hilbert correspondence
Riemann-Roch
Riemannian curvature
Riemannian geometry
Rohklin's theorem
Rokhlin theorem
SH
SL2
SO3
SU2
SYZ torus fibration
Sample Tasks
Sard-Smale
Satake isomorphism
Sato-Tate conjecture
Schoenflies conjecture
Schubert
Schur's Lemma
Schwartz space
Segal spaces
Seiberg-Witten theory
Seifert manifold
Selmer group
Serre class
Serre duality
Serre fibration
Serre functor
Serre spectral sequence
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
Weil Conjectures Talks
Superstring theory
THH
TQFT
Talbot Talk 1
Talbot Talk 2
Talbot Talk Outline 1
Talks
Tamagawa numbers
Tannaka-Krein duality
Tannakian
Tate module
Tate-Shafarevich group
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
Weil cohomology
Weil divisor
Weil group
Weil reciprocity
Weil restriction
Weil zeta function
Weinstein
Weyl algebra
Weyl complete reducibility
Weyl group
Weyl vector
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
abelian scheme
abelian variety
absolute Galois group
absolute value
accessible functor
accidental isomorphisms
action
adelic group
adic completion
adjoint
adjoint functor theorem
adjoint representation
adjunction formula
admissible representation
advice on talks
affine Grassmannian
algebra over a ring
algebraic curve
Algebraic de Rham cohomology
algebraic group
algebraic space
almost all
almost complex structure
almost mathematics
almost purity
alpha invariant
alteration
very ample divisor
ample cone
anabelian
analytic class number formula
animated rings
anti self dual
anticanonical pair
antiholomorphic involution
applications of Weil conjectures
arithmetic Chow
arithmetic Frobenius
arithmetic and 3-manifolds
arithmetic cohomology
arithmetic genus
arithmetic geometry
arithmetic intersection theory
arithmetic progressions
aspherical space
assembly
associahedra
associated bundle
automorphic L function
automorphic form
automorphic representation
automorphisms necessitate stacks
bar construction
base change
basic tools in homotopy of spaces
Topics
belong
bicategory
big
birational
bisimplicial set
blowup
bordered Heegaard Floer homology
brane
bubbling
canonical bundle
canonical divisor
canonical isomorphism
cartesian fibration
categorification
category O
cellular approximation
cellular map
central fiber
central simple algebra
chamber
character lattice
character variety
characteristic class
characters
charge
chromatic homotopy theory
class field theory
class group
classical category theory
classifying space
classifying stack
closed immersion
clutching function
coalgebra
coarse moduli space
cobordism
cobordism hypothesis
cobordism spectrum
cocompact
cocomplete
cocone
coend
coequalizer
cofiber sequence
cofinal functor
cogroup
coherent module
coherent sheaves
cohomological criterion for ampleness
cohomological dimension
cohomological field theory
cohomology of infinite complex projective space
cohomology of lens spaces
cohomology of unitary groups
cohomology operations
cohomology rings as coalgebras
cohomology theory
cohomology with compact support
cohomolology theory
cohomotopy
coinvariants
colimit
combinatorial model category
comes from geometry
compact object of a category
compact-open topology
compactly generated space
compactly supported cohomology for quotient stacks
complete
complex K theory
complex algebraic geometry
complex bordism
complex oriented cohomology theory
computational properties of Chow
computational properties of K theory
computations of canonicals
computations of divisor class groups
computations of picard groups
condensed set
conductor
cone category
cone multiplicity
configuration space
congruence subgroup
congruent number problem
connected ring
connection
connectivitty
conormal exact sequence
conormal sequence
conservative functor
constructible functions
constructible sheaf
constructing BU_n
continuous group cohomology
contraction
contract
coproduct
correspondences
cosheaf
cosmos
cotangent complex
covariant derivative
covering
covering space
covolume
crystalline Frobenius
crystalline cohomology
crystalline conjecture
crystalline representation
crystalline site
cubic surfaces
curvature
curvature form
curves
cusp form
cyclotomic character
de Rham conjecture
de Rham crystalline comparison
de Rham isomorphism
de Rham moduli
de Rham-Witt
deformation
deformation quantization
deformation theory
deformation theory is controlled by dg Lie algebras
deformation to the normal cone
degeneration
degree of a closed point
degree of a morphism
degree of a projective variety
del Pezzo
delta function
density
depth
derivation
derived algebraic geometry
derived category
derived de Rham cohomology
derived lci
derived ring
derived scheme
derived stack
derived stacks
descent
descent category
determinant of an operator
determinental variety
devissage
dg Lie algebras
dg manifold
diagonal morphism
different
differential forms
dilogarithm
dimension
dimension shifting
direct image
disambiguating completion and localization
disambiguating products and coproducts
discrete log problem
discriminant
distributions
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divisor class group
dominant morphism
dominant weight
dualizable objects in a category
dualizable object of a category
dualizing sheaf
dynamics
efd theorem
effective descent
elliptic complex
elliptic curve over a scheme
elliptic genera
elliptic operator
For curves
endomorpism algebras
enriched category
enumerative geometry
equivalence of categories
equivariant
equivariant K theory
equivariant cochains
equivariant cohomology
equivariant functor
equivariant homotopy group
equivariant homotopy theory
equivariant sheaves
equivariant stable homotopy theory
ergodic
etale
etale comparison theorem
etale descent
etale fundamental group
etale morphism
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
factorization algebra
factorization homology
faithful functor
faithfully flat
families
fiber of a vector bundle over a scheme
fiber product
fibrant and cofibrant objects
fibration
field norm
filtered module
filtered spectra
fine sheaf
finite spectrum
finite type
finitely generated
finitely presented
fitting ideal
flag variety
flat bundle
flat connection
flat family
flat morphism
flop
flow
flow categories
foliate
formal cohomology
formal disk
formal spectrum
formally etale
formally smooth
formally unramified
4-manifolds
fourier transform
fppf
fpqc
fractional ideal
fracture theorem
frame bundle
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Global field
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Motivation
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Regulator of a number field
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sheaf
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showing an equivalence of derived categories
signature
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spec Z as a curve
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stable homotopy groups of spheres
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stable reduction theorem
stackification
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string theory
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strong factorization
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surgery
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tame inertia
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tate conjecture
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tempered
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tensored
the category of motives
the numerical criterion
theorem of the square
theta divisor
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tilting
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tmf
topological K theory
topological category
topological groupoid
topological stack
topos
tor amplitude
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toric
toric variety
toroidal compactifications
torsion of a connection
torsor
trace (monoidal categories)
trace map
trace pairing
transfers
transverse
triangulated categories
triangulated category
tropical geometry
twist
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twisted cubic
twisted differential operator
twisting sheaves
type III degeneration
uniformization
unimodular
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unitary trick
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universal enveloping algebra
universally closed
universally closed morphism
unlikely intersection
unramified
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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
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weight filtration
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weyl character formula
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Zotnotes
LitNote-Alexeev and Thompson-2019-ADE surfaces and their moduli-AT17
LitNote-Alexeev et al.-2019-Stable pair compactification of moduli of K3 surfaces of degree 2-AET19
LitNote-Alexeev-2004-Complete moduli in the presence of semiabelian group action-Ale04
LitNote-Barth et al.-2004-Compact complex surfaces-BHPV04
LitNote-Beilinson et al.-2007-Aomoto Dilogarithms, Mixed Hodge Structures and Motivic Cohomology of Pairs of Triangles on the Plane-BGSV90
LitNote-Borisov-2015-Class of the affine line is a zero divisor in the Grothendieck ring-Bor18
The standard realizations for the K-theory of varieties
LitNote-Buchstaber and Panov-2014-Toric Topology-BP14
LitNote-Campbell and Zakharevich-2018-Devissage and Localization for the Grothendieck Spectrum of Varieties-CZ18
LitNote-Campbell and Zakharevich-2019-Hilbert's third problem and a conjecture of Goncharov-CZ21
Talbot 2022 Syllabus
Derived l-adic zeta functions
LitNote-Campbell-2017-The K-Theory Spectrum of Varieties-Cam17
LitNote-Cathelineau-2003-Scissors congruences and the bar and cobar constructions-Cat03
LitNote-Cathelineau-2004-Projective configurations, homology of orthogonal groups, and Milnor $K$-theory-Cat04
Motivic Integration
LitNote-Cluckers et al.-2011-Motivic integration and its interactions with model theory and non-Archimedean geometry. Volume 1 edited by Raf Cluckers, Johannes Nicaise, Julien Sebag. [electronic resource]-CNS11a
LitNote-Cluckers et al.-2011-Motivic integration and its interactions with model theory and non-Archimedean geometry. Volume 2 edited by Raf Cluckers, Johannes Nicaise, Julien Sebag. [electronic resource]-CNS11
LitNote-Cox et al.-2011-Toric varieties-CLS11
LitNote-Dupont and Sah-1982-Scissors congruences, II-DS82
LitNote-Dupont et al.-1988-Homology of classical Lie groups made discrete. II. H2, H3, and relations with scissors congruences-DPS88
LitNote-Dupont, Johan L.-1982-Algebra of polytopes and homology of flag complexes-Dup82
LitNote-Dupont-2001-Scissors congruences, group homology, and characteristic classes-Dup01
LitNote-Fulton-1993-Introduction to toric varieties-Ful93
LitNote-Goncharov et al.-1993-The Classical Polylogarithms, Algebraic K-Theory And zeta F(n)-Gon93
LitNote-Goncharov-1995-Geometry of Configurations, Polylogarithms, and Motivic Cohomology-Gon95
LitNote-Goncharov-1996-Volumes of hyperbolic manifolds and mixed Tate motives-Gon99
LitNote-Goodwillie-2014-Scissors Congruence with Mixed Dimensions-Goo17
LitNote-Harder and Thompson-2015-The Geometry and Moduli of K3 Surfaces-HT15
LitNote-Harris-1992-Algebraic Geometry-Har92
LitNote-Hartshorne-2008-Algebraic geometry-Har08
Cut and paste invariants of manifolds via algebraic K-theory
LitNote-Huybrechts-2016-Lectures on K3 Surfaces-Huy16
LitNote-Jessen-1968-THE ALGEBRA OF POLYHEDRA AND THE DEHN-SYDLER THEOREM-Jes68
LitNote-Laza-2014-Perspectives on the construction and compactification of moduli spaces-Laz14
LitNote-McMullen-1989-The polytope algebra-McM89
LitNote-Merkurev and Suslin-1991-THE GROUP K_3 FOR A FIELD-MS90
LitNote-Misc-2022-Hartshorne Solutions-Mis22
LitNote-Nicaise et al.-2011-The Grothendieck ring of varieties-NS11
LitNote-Quillen and Bass-1973-Finite generation of the groups Ki of rings of algebraic integers-Qui73
LitNote-Rognes-1992-A spectrum level rank filtration in algebraic K-theory-Rog92
LitNote-Rognes-2000-K4(Z) is the trivial group-Rog00
LitNote-Sah-1979-Hilbert's third problem Scissors congruence-Sah79
LitNote-Sah-1981-SCISSORS CONGRUENCES, I THE GAUSS-BONNET MAP-Sah81
A Gillet-Waldhausen Theorem for chain complexes of sets
LitNote-Shafarevich-2013-Basic Algebraic Geometry 1-Sha13
LitNote-Silverman-2007-The Arithmetic of Dynamical Systems-Sil07
LitNote-Sydler-1965-Conditions necessaires et suffisantes pour lequivalence des polyedres de lespace euclidien a trois dimensions-Syd65
LitNote-Waldhausen et al.-1985-Algebraic K-theory of spaces-Wal85
LitNote-Weibel-2013-The K-book An introduction to algebraic K-theory-Wei13
LitNote-Zakharevich-2012-Scissors Congruence and K-theory-Zak12a
LitNote-Zakharevich-2016-The K-theory of assemblers-Zak17a
The annihilator of the Lefschetz motive
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music and birthday countdown
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