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Notable Notes

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Decorated Tropical Type	definition	2026-08-31
Type Of A Family Of Tropical Maps Defn	definition	2026-08-31
Type Of A Stable Log Map Defn	definition	2026-08-31
Log Tangent Sheaf	definition	2026-08-27
Log Tangent Sheaf For Divisorial Log Structure	math-example	2026-08-27
Log Tangent Sheaf Of A Monoid Algebra	example	2026-08-27
Log Tangent Sheaf Of A Toric Variety	math-example	2026-08-27
Sheaf Of Log Differentials	definition	2026-08-27
The Mind Of A Good Mathematician	opinion	2026-08-27
Relative Virtual Localization Example 1	math-example	2026-08-26
What Are These Notes		2026-08-18
Transitivity Triangle Cotangent Complex	definition	2026-08-17
Atiyah Bott Localization Concept Page	concept	2026-08-11
Intrinsic Normal Cone Defn	definition	2026-08-11
Vector Bundle Stack Defn	definition	2026-08-11
Virtual Pullbacks	definition	2026-08-11
Vector Bundle Definition	definition	2026-08-08
Affine Bundle Defn	definition	2026-08-07
Vector Bundle Associated To Affine N Bundle Aka Vector Bundle Torsor	construction	2026-08-07
Family Of Tropical Curves Defn	definition	2026-08-04
Family Of Tropical Maps Defn	definition	2026-08-04
Length Of Edge In Tropical Family Or Of A Node	construction	2026-08-04
Types In The Gross-Siebert Program	article	2026-08-04
Equivariant Chern Classes Over Bases With Trivial Action	discussion	2026-07-31
Virtual Fundamental Class	definition	2026-07-31
Smoothness Reduces The Cotangent Complex To Degree 0	example	2026-07-29
Bagging In Ensemble Models	lecture-notes	2026-07-19
Boosting In Ensemble Models	lecture-notes	2026-07-19
Transcript For Iowa Water Project Presentation	writing	2026-07-10
Criterion For A System Of Ethics	writing	2026-07-09
Thirty Theses	writing	2026-07-06
Arima More Time Series	lecture-notes	2026-06-23
F Test For Nested Linear Models	lecture-notes	2026-06-21
Time Series And Forecasting	lecture-notes	2026-06-12
Hypothesis Testing Statistics		2026-06-11
Generalized Linear Models Notes	lecture-notes	2026-06-10
Maximum Likelihood Estimation		2026-06-10
Bias Variance Tradeoff	lecture-notes	2026-06-09
Principle Component Analysis Notes	data-analysis	2026-06-09
Regularization Data Science	lecture-notes	2026-06-09
Why People Become Athiests	article	2026-06-09
Logistic Regression Notes		2026-06-04
Poisson Regression		2026-06-04
Linear Regression Notes		2026-06-02
Fixed Stack Of Nodal Curve Moduli Space	example	2026-06-01
Questions For Tom		2026-06-01
Romagny Fixed Locus Of A Group Action On Stack	definition	2026-06-01
Romagny Fixed Stack Torus Action On Dm Stack	lemma	2026-06-01
Svd Singular Value Decomposition	article	2026-06-01
Ideas For Prop 5 In Graber		2026-05-20
Monad Definition	definition	2026-05-19
Basic Monoid	definition	2026-05-18
Basic Monoid Examples	example	2026-05-18
Mumford Degeneration	construction	2026-05-12
Normal Fan Of A Polytope	definition	2026-05-12
Polytope And Polyhedron	math	2026-05-12
Toric Variety From A Polytope Or Polyhedron	construction	2026-05-12
Torus Action Of Mumford Degeneration	construction	2026-05-12
Pontryagin Duality	definition	2026-04-29
Why Fourier Transform Breaks For Non-Abelian Groups	example	2026-04-29
Dog Bone Space Is Degeneration Over P1	example	2026-04-22
Guide To Do The Math Blog By Tom Murphy	writing	2026-04-20
Koszul Regular Defn	definition	2026-04-20
Quasi-Regular Sequence Defn	definition	2026-04-20
Norming Set	definition	2026-04-19
Virtual Class Exercises	article	2026-04-18
Tags 2026 Notes	article	2026-04-17
Derived Relative Virtual Localization	project	2026-04-13
Disambiguation Of Moduli Spaces Of Log Maps	article	2026-04-13
Marked Pre-Stable Curves	definition	2026-04-13
Moduli Space Of Basic Stable Log Maps Marked By A Decorated Type	definition	2026-04-13
Moduli Space Of Pre-Stable Log Curves	definition	2026-04-13
Johari Window	writing	2026-04-12
Log Localization Project	project	2026-04-09
Relative Virtual Localization For Stable Log Maps	project	2026-04-09
Log Topological Vertex Project	project	2026-04-08
Idealized Log Scheme	definition	2026-04-07
Math System Prompt	prompt	2026-04-06
Double Hurwitz Number	definition	2026-04-03
Website Generation From Org	article	2026-04-03
Deligne Faltings Log Structure	definition	2026-04-02
Localization Statement To Prove		2026-04-02
Punctured Log Scheme	definition	2026-04-01
Line Bundles And G M Torsors	discussion	2026-03-23
Fixed Stable Log Map Discrete Data Conditions	lemma	2026-03-21
Ghost Rank Can Only Jump At Marks And Nodes	lemma	2026-03-21
Global Contact Orders	definition	2026-03-21
Why Cover Your Assets Is Good	writing	2026-03-07
Local Morphism Of Monoids	definition	2026-03-05
Log Lifts Of Ordinary Stable Maps	example	2026-03-05
Ghost Sheaf At The Nodes Of A Stable Log Curve	construction	2026-03-04
Pre-Stable Marked Log Curve	definition	2026-03-04
Generalized Cone Complex	definition	2026-03-03
Tropicalization Of A Stable Curve	construction	2026-03-03
Example Tropical Data Associated To Stable Log Curve	example	2026-03-02
Summary Of Topological Vertex	summary	2026-03-02
Tropical Curve	definition	2026-02-28
Classification Of Log Structures Of Log Smooth Curves	theorem	2026-02-27
Morality Page	writing	2026-02-27
Stable Log Curve	definition	2026-02-27
Log Smooth Morphism Over Trivial Log Point	example	2026-02-26
Confronting Stupidity And Ultimately Failing	writing	2026-02-25
Equivalence Of Coherent Module Definitions For Locally Noetherian Schemes	proposition	2026-02-25
Example-Of-O X-Which-Is-Not-Coherent	example	2026-02-25
Coherent Module	definition	2026-02-24
Finite Type Module	definition	2026-02-24
Log Smooth Over The Standard Log Point	example	2026-02-24
Harm From Highways In Cities	writing	2026-02-12
Sustainable Society Defn	definition	2026-02-04
Things I Sincerely Believe	article	2026-02-04
Moral Code 10 Commandements	article	2026-02-02
Things I Know To Be True	article	2026-02-02
Writing Landing Page	article	2026-02-01
Fixed Locus Of Group Action On An Artin Stack	definition	2026-01-31
Virtual Localization Revisited	note	2026-01-31
Grevious Cultural Wound	article	2026-01-30
Inertia Stack Defn	definition	2025-12-11
Stabilizer Group Of Point On Stack	definition	2025-12-11
Trip To Red Rocks And Nevada Canyons	trip	2025-11-25
Deligne-Mumford Stack	definition	2025-11-20
Fixed Stack For Group Action	definition	2025-11-20
Group Action On A Stack	definition	2025-11-20
Perfect Amplitude Complex	definition	2025-11-19
Relative Virtual Localization	article	2025-11-19
Blowups Of Chain Of Closed Embeddings	lemma	2025-11-18
Deformation To The Normal Cone	construction	2025-11-18
R Braid Arrangement Defn	definition	2025-11-17
Wonderful Compactification Of A Hyperplane Arrangement	definition	2025-11-17
Chow Ring Of General Toric Variety	theorem	2025-11-15
Chow Ring Of Toric Variety Associated To Lattice Building Set	example	2025-11-15
Toric Variety Associated To Atomic Lattice	definition	2025-11-15
Building Algebra Of Building Set	definition	2025-11-14
Building Set Of Lattice Defn	definition	2025-11-14
Combinatorics Three Hyperplanes Meetings At A Point Example	example	2025-11-14
Nested Complex Of Lattice Defn	definition	2025-11-14
Wonderful Compactification Three Hyperplanes Meeting At A Point Example	example	2025-11-14
Atomic Lattice Defn	definition	2025-11-13
Example Chow Of A Blowup	example	2025-10-28
Blowup Of A Point Example	example	2025-10-27
Defn Blowup	definition	2025-10-27
Integration Formula In Equivariant Cohomology	theorem	2025-10-21
Integration Formula Is Actually Integration	remark	2025-10-21
Equivariant Cochain Definition Of Equivariant Cohomology	definition	2025-10-20
Finite Group Scheme	idea	2025-10-09
Affine Manifold With Singularities	definition	2025-10-08
Etale Cover Of Central Fiber From Affine Manifold Msldd1	construction	2025-10-08
Notes And Examples From Msldd1	article	2025-10-08
Polyhedral Decomposition Of Affine Manifold	definition	2025-10-08
Hartogs Theorem	theorem	2025-10-07
A1 Mod Gm Quotient Stack	example	2025-10-06
Classifying Stack	definition	2025-10-06
Group Action On A Scheme	definition	2025-10-06
Presheaf And Sheaf On A Site	definition	2025-10-06
Prestack Defn	definition	2025-10-06
Principal G Bundle	definition	2025-10-06
Quotient Groupoid	definition	2025-10-06
Quotient Prestack And Stack	definition	2025-10-06
Site Definition	definition	2025-10-06
Pullback And Hom	question	2025-10-01
Finance Notes	article	2025-09-30
Research Statements	article	2025-09-30
Flat Base Change	lemma	2025-09-26
Fourier-Mukai Transform	definition	2025-09-26
Hyperplane Arrangement	definition	2025-09-26
Local System Defn	definition	2025-09-26
Projection Formula	lemma	2025-09-26
Charts For Log Structures	definition	2025-09-25
Normal Crossings	definition	2025-09-25
Sheaf Of Log Derivations	definition	2025-09-25
Exceptional Collection	definition	2025-09-19
Fano Variety Definition	definition	2025-09-18
Gorenstein Singularities	definition	2025-09-18
Any Two Lifts Of A Loop In Base Are Homotopic	lemma	2025-09-08
Homotopy Lifting Property	theorem	2025-09-08
Monodromy Representation	definition	2025-09-08
Irreduible Components Of Stable Maps	lemma	2025-09-06
One Dimensional Toric Varieties	lemma	2025-09-06
Marks Nodes Ramification Points Of Fixed Stable Curve	lemma	2025-09-05
Ordinary Stable Map	definition	2025-09-01
Localization Theorem For Log Stable Maps Target P1	theorem	2025-08-27
Missing Middle Housing		2025-08-14
Euler Sequence	theorem	2025-08-13
Normalization Exact Sequence	theorem	2025-08-11
Multi-Pitch Fix And Follow		2025-08-09
Multi-Pitch Fix And Follow Packlist		2025-08-09
Formally Smooth Morphism	definition	2025-07-31
Logarithmic Point	definition	2025-07-24
Logarithmic Scheme		2025-07-24
Definition Of A Fine Log Scheme	definition	2025-07-23
Exercises In Log Geometry From Sam Johnston	exercise	2025-07-22
Toric Monoid	definition	2025-07-22
Tropicalization Of A Log Scheme	definition	2025-07-22
Algebraic Curves Lectures 26 And 27	lecture-notes	2024-04-01
Algebraic Curves Lecture 25	lecture-notes	2024-03-29
Algebraic Curves Lecture 24	lecture-notes	2024-03-27
Algebraic Curves Lecture 23	lecture-notes	2024-03-25
Algebraic Curves Lecture 22	lecture-notes	2024-03-22
Algebraic Curves Lecture 20	lecture-notes	2024-03-18
Algebraic Curves Lecture 19	lecture-notes	2024-03-08
Algebraic Curves Lecture 18	lecture-notes	2024-03-06
Algebraic Curves Lecture 17	lecture-notes	2024-03-01
Algebraic Curves Lecture 16	lecture-notes	2024-02-28
Algebraic Curves Lecture 14	lecture-notes	2024-02-23
Algebraic Curves Lecture 13	lecture-notes	2024-02-21
Algebraic Curves Lecture 12	lecture-notes	2024-02-19
Algebraic Curves Lecture 11	lecture-notes	2024-02-16
Algebraic Curves Lecture 10: Hurwitz Bound And Hyperelliptic Curves	lecture-notes	2024-02-14
Algebraic Curves Lecture 9	lecture-notes	2024-02-09
Algebraic Curves Lecture 8	lecture-notes	2024-02-07
Algebraic Curves Lecture 7	lecture-notes	2024-02-05
Algebraic Curves Lecture 6: Two More Corollaries Of Riemann Roch	lecture-notes	2024-02-02
Algebraic Curves Lecture 5: Corollaries To Riemann-Roch	lecture-notes	2024-01-31
Algebraic Curves Lecture 4: Riemann Roch	lecture-notes	2024-01-29
Algebraic Curves Lecture 3: Line Bundles And Linear Series	lecture-notes	2024-01-22
Algebraic Curves Lecture 2: Basic Notions	lecture-notes	2024-01-19
Algebraic Curves Lecture 1	lecture-notes	2024-01-17
Finite Fields: Existence And Galois Theory	blog	2023-12-24
Thoughts On Sheafification	blog	2023-09-13
Plan For Bruja Canyon		2023-03-13
Definitions Of A Circle	blog	2023-03-11
A Bound On The Ramification Index Of A Morphism Of Dvrs	lemma
A Tropical Geometric Approach To Exceptional Points	reference
A, E, D — Mechanical Determinants Of The U-Shaped Speed-Energy Cost Of Running Relationship (2018)	reference
Abelian Cone	definition
Abramovich, Chen — Logarithmic Geometry And Moduli	reference
Abramovich, Chen — Stable Logarithmic Maps To Deligne-Faltings Pairs Ii (2014)	reference
Abramovich, Chen, Gross, Siebert — Decomposition Of Degenerate Gromov–Witten Invariants (2020)	reference
Abramovich, Chen, Marcus, Ulirsch, Wise — Skeletons And Fans Of Logarithmic Structures (2015)	reference
Abramovich, Corti, Vistoli — Twisted Bundles And Admissible Covers (2003)	reference
Abramovich, Marcus, Wise — Comparison Theorems For Gromov–Witten Invariants Of Smooth Pairs And Of Degenerations (2014)	reference
Abramovich, Wise — Birational Invariance In Logarithmic Gromov-Witten Theory (2017)	reference
Abramovich, Wise — Birational Invariance In Logarithmic Gromov–Witten Theory \| Compositio Mathematica	reference
Aganagic, Klemm, Marino, Vafa — The Topological Vertex (2005)	reference
Alexandr, Montúfar — Constraining The Outputs Of Relu Neural Networks (2025)	reference
Allday, Puppe — On A Conjecture Of Goresky, Kottwitz And Macpherson (1999)	reference
Alper — Stacks And Moduli (Draft 2025) (2024)	reference
Alper, Hall, Rydh — A Luna Étale Slice Theorem For Algebraic Stacks (2020)	reference
An Invitation To Quantum Cohomology	reference
Anderson, Fulton — Equivariant Cohomology In Algebraic Geometry (2023)	reference
Aranha, Khan, Latyntsev, Park, Ravi — Virtual Localization Revisited (2025)	reference
Aranha, Pstrągowski — The Intrinsic Normal Cone For Artin Stacks (2024)	reference
Arbarello — Geometry Of Algebraic Curves (1985)	reference
Archak, Ipeirotis — Modeling Volatility In Prediction Markets	reference
Arkani-Hamed, Frost, Salvatori, Plamondon, Thomas — All Loop Scattering As A Counting Problem (2025)	reference
Artin Fans
Artin Stack	definition
Atiyah, Bott — The Moment Map And Equivariant Cohomology (1984)	reference
Automorphisms Deformations Obstructions Of Stable Curves	proposition
Backman, Danner — Convex Geometry Of Building Sets (2025)	reference
Bailis, Hellerstein, Stonebraker — Readings In Database Systems, 5Th Ed	reference
Bakirtzis, Savvas, Topcu — Categorical Semantics Of Compositional Reinforcement Learning	reference
Bakirtzis, Savvas, Zhao, Chinchali, Topcu — Reduce, Reuse, Recycle: Categories For Compositional Reinforcement Learning (2024)	reference
Balancing Condition For Stable Log Curves	proposition
Balancing Condition In Terms Of Contact Order And Degree Of Map	proposition
Ballard, Doran, Favero, Sharpe — Superschool On Derived Categories And D-Branes: Edmonton, Canada, July 17-23, 2016 (2018)	reference
Ballico — Algebraic Curves And Projective Geometry: Proceedings Of The Conference Held In Trento, Italy, March 21-25 1988 (1989)	reference
Basic Stable Log Map Defn	definition
Battistella, Carocci, Manolache — Virtual Classes For The Working Mathematician (2020)	reference
Batyrev, Blume — On Generalisations Of Losev-Manin Moduli Spaces For Classical Root Systems	reference
Beckers — An Introduction To Gaussian Process Models (2021)	reference
Behrend — Cohomology Of Stacks	reference
Behrend — Gromov-Witten Invariants In Algebraic Geometry (1997)	reference
Behrend — Localization And Gromov-Witten Invariants	reference
Behrend, Fantechi — The Intrinsic Normal Cone (1997)	reference
Behrend, Manin — Stacks Of Stable Maps And Gromov-Witten Invariants (1995)	reference
Berndinar Fall 2025	article
Binmore — Rational Decisions In Large Worlds (2007)	reference
Blankers, Clader, Halacheva, Liu, Ross — Moduli Theory Of The $R$-Braid Arrangement (2025)	reference
Bloch — Algebraic Cycles And Higher K-Theory (1986)	reference
Bloch, Srinivas — Remarks On Correspondences And Algebraic Cycles (1983)	reference
Blum, Hopcroft, Kannan — Foundations Of Data Science	reference
Bollerslev — Generalized Autoregressive Conditional Heteroskedasticity	reference
Bonnier, Kidger, Arribas, Salvi, Lyons — Deep Signature Transforms (2019)	reference
Borel Mixing Construction And Equivariant Cohomology	definition
Bott, Tu — Differential Forms In Algebraic Topology (1982)	reference
Bouchard, Klemm, Mariño, Pasquetti — Remodeling The B-Model (2009)	reference
Breiding, Lindberg, Ong, Sommer — Real Circles Tangent To 3 Conics (2022)	reference
Brion — Equivariant Chow Groups For Torus Actions (1997)	reference
Brézin, Hikami — Random Matrix Theory With An External Source (2016)	reference
Buchweitz-Flenner Deformation-Theory	reference
C, R, J, E — Effect Of Strength Training Programs In Middle- And Long-Distance Runners’ Economy At Different Running Speeds: A Systematic Review With Meta-Analysis (2024)	reference
Carocci, Nabijou — Tropical Expansions And Toric Variety Bundles (2025)	reference
Cartier Divisors	definition
Cavalieri — Counting Tropical Plane Curves	reference
Cavalieri, Chan, Ulirsch, Wise — A Moduli Stack Of Tropical Curves (2020)	reference
Cavalieri, Markwig, Ranganathan — Tropical And Logarithmic Methods In Enumerative Geometry (2023)	reference
Chan, Huang, Liu — Affine Semigroup Algebras And Their Fibered Sums (2024)	reference
Chang, Kiem, Li — Torus Localization And Wall Crossing For Cosection Localized Virtual Cycles (2017)	reference
Chavez, Ong, Hong — Distributed Deep Q-Learning	reference
Chen, Arditi, Sleight, Evans, Lindsey — Persona Vectors: Monitoring And Controlling Character Traits In Language Models (2025)	reference
Chern Class Of A Line Bundle	definition
Chern Classes And Segre Classes Topic Page	topic-page
Chern Classes Of A Vector Bundle	definition
Christ — M392C Geometry Of Algebraic Curves	reference
Cialdini — Influence: Science And Practice (2014)	reference
Ciliberto, Zaidenberg — Lines, Conics, And All That (2020)	reference
Clader, Damiolini, Li, Ramadas — Wonderful Compactifications And Rational Curves With Cyclic Action (2023)	reference
Class Of Stable Log Maps	definition
Classification Of Log Curves
Classification Of Log Smooth Curves	theorem
Cnossen — Stable Homotopy Theory And Higher Algebra	reference
Codd — A Relational Model Of Data For Large Shared Data Banks (1970)	reference
Computation Of A Nearly Trivial Log Gw Invariant; Target P1, Degree 1, Three Marked Points	example
Condition For Non-Representability Of Moduli Functor	proposition
Contact Order Of A Stable Log Curve At Marks And Nodes	definition
Coskun, Riedl — Algebraic Hyperbolicity Of Very General Surfaces (2023)	reference
Cotangent Complex
Cotangent Complex Affine	definition
Coutinho — A Primer Of Algebraic D-Modules (2003)	reference
Cox — Toric Varieties / David A. Cox, John B. Little, Henry K. Schenck. (2011)	reference
Cox, Katz — Mirror Symmetry And Algebraic Geometry (1999)	reference
Crowley, Huh, Larson, Simpson, Wang — The Bergman Fan Of A Polymatroid (2024)	reference
De Concini, Procesi — Hyperplane Arrangements And Holonomy Equations (1995)	reference
De Concini, Procesi — Wonderful Models Of Subspace Arrangements (1995)	reference
De Salles, Simão, Miranda, Novaes, Lemos, Willardson — Rest Interval Between Sets In Strength Training (2009)	reference
Definition Of A Log Structure	definition
Deformation Definition	definition
Deformation Theory Topics	article
Deligne, Mumford — The Irreducibility Of The Space Of Curves Of Given Genus (1969)	reference
Divisorial Log Structure	definition
Do, Parker — The Tropological Vertex (2025)	reference
Dolgachev — Logarithmic Sheaves Attached To Arrangements Of Hyperplanes (2005)	reference
Dolgachev — Logarithmic Sheaves Attached To Arrangements Of Hyperplanes (2007)	reference
Dual Intersection Graph	definition
Duistermaat, Heckman — On The Variation In The Cohomology Of The Symplectic Form Of The Reduced Phase Space (1982)	reference
Edidin, Graham — Characteristic Classes In The Chow Ring (1994)	reference
Edidin, Graham — Equivariant Intersection Theory (1998)	reference
Edidin, Graham — Localization In Equivariant Intersection Theory And The Bott Residue Formula (1998)	reference
Edidin, Hassett, Kresch, Vistoli — Brauer Groups And Quotient Stacks (2001)	reference
Edidin, Rydh — Canonical Reduction Of Stabilizers For Artin Stacks With Good Moduli Spaces (2021)	reference
Eigenfunction	definition
Eisenbud, Harris — 3264 And All That: A Second Course In Algebraic Geometry (2016)	reference
Ekedahl, Van Der Geer — The Order Of The Top Chern Class Of The Hodge Bundle On The Moduli Space Of Abelian Varieties (2004)	reference
Equivariant Chern Classes Of Line Bundes Over A Point	example
Exact Sequence And Chern Characters Identity	corollary
Example: $\Mathbb P^2$ Minus A Point	example
Examples Of The Moduli Space Of Stable Log Maps	example
Exercise 2.1.1. Of Anderson And Fulton	example
Expected Dimension Of Moduli Space
Family Of Prestable Curves	definition
Fantechi — Stacks For Everybody (2001)	reference
Feichtner — De Concini–Procesi Wonderful Arrangement Models: A Discrete Geometer’S Point Of View	reference
Feichtner, Kozlov — Incidence Combinatorics Of Resolutions (2005)	reference
Feichtner, Yuzvinsky — Chow Rings Of Toric Varieties Defined By Atomic Lattices (2004)	reference
Ferroni, Matherne, Vecchi — Chow Polynomials Of Posets	reference
Fibered Sums Of Cancellative Monoids	lemma
Flat Pullback	definition
Flowers — Undergraduate Level Paper On Moduli Spaces	reference
Foerster, Assael, De Freitas, Whiteson — Learning To Communicate With Deep Multi-Agent Reinforcement Learning (2016)	reference
Ford, Doren, Dix — Alignment Drift In Multimodal Llms: A Two-Phase, Longitudinal Evaluation Of Harm Across Eight Model Releases (2026)	reference
Formula For The Degree And Contact Orders Of Marks On A Log Stable Curve	corollary
Franz — Koszul Duality And Equivariant Cohomology (2003)	reference
Friedman — Global Smoothings Of Varieties With Normal Crossings (1983)	reference
Fulton — Hurwitz Schemes And Irreducibility Of Moduli Of Algebraic Curves (1969)	reference
Fulton — Intersection Theory	reference
Fulton — Introduction To Toric Varieties. (Am-131), Volume 131 / William Fulton. (2016)	reference
Fulton, Pandharipande — Notes On Stable Maps And Quantum Cohomology (1997)	reference
Fulton, Sturmfels — Intersection Theory On Toric Varieties (1997)	reference
G-Torsor In Algebraic Geometry	definition
G-Torsors Are Classified By The First Cohomology Group	lemma
Garrabrant, Herrmann, Lopez-Wild — Cartesian Frames (2021)	reference
Generization Map	definition
Geraschenko, Satriano — Toric Stacks I: The Theory Of Stacky Fans (2014)	reference
Gillet — Riemann-Roch Theorems For Higher Algebraic K-Theory (1981)	reference
Givental — A Mirror Theorem For Toric Complete Intersections	reference
Glanois, Weng, Zimmer, Li, Yang, Hao, Liu — A Survey On Interpretable Reinforcement Learning (2022)	reference
Global Sections Of The Ghost Sheaf, Torsors, And Line Bundles	lemma
Goresky, Kottwitz, Macpherson — Equivariant Cohomology, Koszul Duality, And The Localization Theorem (1997)	reference
Graber, Pandharipande — Localization Of Virtual Classes (1999)	reference
Graber, Vakil — Relative Virtual Localization And Vanishing Of Tautological Classes On Moduli Spaces Of Curves (2005)	reference
Griffiths — Principles Of Algebraic Geometry (1994)	reference
Gromov-Witten Invariants Notes
Gross — Remarks On Gluing Punctured Logarithmic Maps	reference
Gross — Remarks On Gluing Punctured Logarithmic Maps (2025)	reference
Gross — Tensor Generators On Schemes And Stacks (2017)	reference
Gross — Toric Degenerations And Batyrev-Borisov Duality (2005)	reference
Gross — Tropical Geometry And Mirror Symmetry (2011)	reference
Gross, Hacking, Siebert — Theta Functions On Varieties With Effective Anti-Canonical Class (2019)	reference
Gross, Kuhrs, Ulirsch, Zakharov — Tropical Reductive Groups And Principal Bundles On Metric Graphs (2025)	reference
Gross, Pandharipande, Siebert — The Tropical Vertex (2010)	reference
Gross, Pandharipande, Siebert — The Tropical Vertex (Presentation By Mark Gross) (2010)	reference
Gross, Rezaee — Geometry Of The Stability Scattering Diagram For $\Mathbbp}\Textasciicircum 2$ And Applications (2025)	reference
Gross, Siebert — An Invitation To Toric Degenerations (2009)	reference
Gross, Siebert — From Real Affine Geometry To Complex Geometry (2011)	reference
Gross, Siebert — From Real Affine Geometry To Complex Geometry \| Annals Of Mathematics	reference
Gross, Siebert — Intrinsic Mirror Symmetry And Punctured Gromov-Witten Invariants (2018)	reference
Gross, Siebert — Local Mirror Symmetry In The Tropics (2014)	reference
Gross, Siebert — Logarithmic Gromov-Witten Invariants	reference
Gross, Siebert — Mirror Symmetry Via Logarithmic Degeneration Data I (2005)	reference
Gross, Siebert — Mirror Symmetry Via Logarithmic Degeneration Data Ii (2009)	reference
Gross, Siebert — The Canonical Wall Structure And Intrinsic Mirror Symmetry (2022)	reference
Gross, Siebert — Theta Functions And Mirror Symmetry (2012)	reference
Group Scheme Defn	definition
Groupoids Equivalent To Sets	definition
Gubler — A Guide To Tropicalizations (2012)	reference
Guenancia — Semistability Of The Tangent Sheaf Of Singular Varieties (2016)	reference
Guillemin, Pollack — Differential Topology (1974)	reference
Gunning, Moore, Morse — Annals Of Mathematics Studies	reference
Gurven, Kaplan — Longevity Among Hunter- Gatherers: A Cross-Cultural Examination (2007)	reference
Gysin Map
Görtz, Wedhorn — Algebraic Geometry I: Schemes (2020)	reference
Görtz, Wedhorn — Algebraic Geometry Ii: Cohomology Of Schemes: With Examples And Exercises (2023)	reference
Harlem Poem
Harris — Algebraic Geometry: A First Course (2006)	reference
Harris, Mumford — On The Kodaira Dimension Of The Moduli Space Of Curves (1982)	reference
Hartshorne Solutions
Hartshorne — Algebraic Geometry (1977)	reference
Hartshorne — Deformation Theory (2010)	reference
Hippold — Logarithmic Hurwitz Spaces In Mixed And Positive Characteristic With Wild Ramification (2026)	reference
Holmes, Molcho, Pandharipande, Pixton, Schmitt — Logarithmic Double Ramification Cycles (2024)	reference
Hotta, Takeuchi, Tanisaki — D-Modules, Perverse Sheaves, And Representation Theory (2008)	reference
How Do You Climb By Yourself... Safely??? (2024)	reference
Hughes — An Environmental History Of The World: Humankind’S Changing Role In The Community Of Life (2004)	reference
Huh — The Maximum Likelihood Degree Of A Very Affine Variety (2013)	reference
Huybrechts — Complex Geometry (2005)	reference
Huybrechts — Fourier-Mukai Transforms In Algebraic Geometry (2006)	reference
Idea For The Map Between Log And Ordinary Stable Map Moduli Space	idea
Illusie — Complexe Cotangent Et Déformations I (1971)	reference
Illusie — Logarithmic Spaces (According To K. Kato) (1994)	reference
Itenberg, Mikhalkin, Shustin — Tropical Algebraic Geometry (2009)	reference
Iversen — A Fixed Point Formula For Action Of Tori On Algebraic Varieties (1972)	reference
Izenman — Introduction To Random-Matrix Theory	reference
Jeong, Yang, Ryu, Park, Kang — Anomalybert: Self-Supervised Transformer For Time Series Anomaly Detection Using Data Degradation Scheme (2023)	reference
Ji — The Story Of Riemann’S Moduli Space	reference
John Douglas — Lectures On Seiberg-Witten Invariants	reference
Johnston — Birational Invariance In Punctured Log Gromov–Witten Theory (2026)	reference
Johnston — Exercises In Log Stable Maps And Log Gromov-Witten Theory	reference
Johnston — Quantum Periods, Toric Degenerations And Intrinsic Mirror Symmetry (2025)	reference
Kannan, Kühne — The $\Mathbbs} N$-Equivariant Chow Polynomial Of The Braid Matroid (2025)	reference
Kapranov — Thermodynamics And The Moment Map (2011)	reference
Kass — Chow Ring Of A Blow-Up	reference
Kato — Log Smooth Deformation And Moduli Of Log Smooth Curves	reference
Kato — Log Smooth Deformation Theory (1996)	reference
Kato — Logarithmic Structures Of Fontaine-Illusie (1989)	reference
Kato — Logarithmic Structures Of Fontaine-Illusie. Ii —Logarithmic Flat Topology	reference
Katz — What Is...Tropical Geometry? (2017)	reference
Kawamata, Namikawa — Logarithmic Deformations Of Normal Crossing Varieties And Smoothing Of Degenerate Calabi-Yau Varieties (1994)	reference
Kazaryan, Lando, Prasolov — Algebraic Curves: Towards Moduli Spaces (2018)	reference
Keel — Intersection Theory Of Moduli Space Of Stable Appointedcurvesof Genus Zero	reference
Keen, Byrnes — Prediction Market Derivatives: Arbitrage, Economic Utility, And Pricing	reference
Keller — Deriving Dg Categories (1994)	reference
Keller — Introduction To A-Infinity Algebras And Modules (2001)	reference
Kenyon, Okounkov, Sheffield — Dimers And Amoebae (2003)	reference
Khan — A Modern Introduction To Algebraic Stacks	reference
Khan — Virtual Fundamental Classes Of Derived Stacks I (2019)	reference
Kiem — Enumerative Geometry, Before And After String Theory (2022)	reference
Kiem, Li — Quantum Singularity Theory Via Cosection Localization (2018)	reference
Kiem, Savvas — Localizing Virtual Structure Sheaves For Almost Perfect Obstruction Theories (2020)	reference
Kim, Kresch, Pantev — Functoriality In Intersection Theory And A Conjecture Of Cox, Katz, And Lee (2003)	reference
Kimura — Chow Groups Are Finite Dimensional, In Some Sense (2005)	reference
Kock, Vainsencher — An Invitation To Quantum Cohomology: Kontsevich’S Formula For Rational Plane Curves (2007)	reference
Kontesevich'S Method For Computing Weights Of Torus Action On The Normal Bundle
Kontsevich — Enumeration Of Rational Curves Via Torus Actions (1995)	reference
Kontsevich, Manin — Gromov-Witten Classes, Quantum Cohomology, And Enumerative Geometry (1994)	reference
Kontsevich, Soibelman — Lectures On Motivic Donaldson-Thomas Invariants And Wall-Crossing Formulas	reference
Kresch — Cycle Groups For Artin Stacks (1999)	reference
Land Value Tax
Laza, Schütt, Yui — Calabi-Yau Varieties: Arithmetic, Geometry And Physics : Lecture Notes On Concentrated Graduate Courses / Edited By Radu Laza, Matthias Schütt, Noriko Yui. (2015)	reference
Leet Code Solutions
Li — A Degeneration Formula Of Gw-Invariants (2001)	reference
Li — On The Stability Of Extensions Of Tangent Sheaves On Kähler–Einstein Fano/Calabi–Yau Pairs (2021)	reference
Li — Recent Progress In Gw-Invariants Of Calabi-Yau Threefolds	reference
Li — Stable Morphisms To Singular Schemes And Relative Stable Morphisms (2001)	reference
Li — Wonderful Compactifications Of Arrangements Of Subvarieties (2006)	reference
Li, Liu, Liu, Zhou — A Mathematical Theory Of The Topological Vertex (2009)	reference
Li, Tian — Virtual Moduli Cycles And Gromov-Witten Invariants Of Algebraic Varieties (1998)	reference
Liao, Mahoney — Random Matrix Theory For Deep Learning: Beyond Eigenvalues Of Linear Models (2025)	reference
Lichtenbaum, Schlessinger — The Cotangent Complex Of A Morphism (1967)	reference
Lifting An Ordinary Stable Map To P^2 To A Log Stable Map
Localization Computation For Slightly Less Trivial P1 Target Example	example
Localization For Log Gw Invariants	project
Locally Trivial Objects Which Are Possibly Globally Non-Trivial Are Classified By The First Cohomology	slogan
Log Smooth Morphism	definition
Log Structure Associated To A Pre-Log Structure	definition
Logarithmic Cotangent And Tangent Sheaf And Bundle	definition
Lurie — Spectral Algebraic Geometry	reference
Malkiel — A Random Walk Down Wall Street (2019)	reference
Manin — Generating Functions In Algebraic Geometry And Sums Over Trees	reference
Manolache — Virtual Pull-Backs (2011)	reference
Mapping Cone Of Morphism Of Complexes	definition
Marathons
Maulik, Ranganathan — Logarithmic Enumerative Geometry For Curves And Sheaves (2025)	reference
Maxim, Rodriguez, Wang, Wu — Logarithmic Cotangent Bundles, Chern-Mather Classes, And The Huh-Sturmfels Involution Conjecture (2024)	reference
Mazoyer, Roudart, Membrez — A History Of World Agriculture: From The Neolithic Age To The Current Crisis (2006)	reference
Mccarthy — Blood Meridian: Or The Evening Redness In The West (2010)	reference
Mili\Textasciicaroncic — Lectures On Algebraic Theory Of D-Modules	reference
Mili\Textasciicaroncic — Lectures On Derived Categories	reference
Mili\Textasciicaroncic — Lectures On Differential Equations In Complex Domains	reference
Mili\Textasciicaroncic — Lectures On Representation Theory	reference
Miranda — Algebraic Curves And Riemann Surfaces (1995)	reference
Mochizuki — The Geometry Of The Compactification Of The Hurwltz Scheme	reference
Modern Rhetoric Surrounding Mental Health Removes Personal Responsibility
Moduli Functor Defn	definition
Moduli Groupoid Of Orbits	definition
Moduli Groupoid Of Orbits Is Equivalent To The Set Of Orbits If And Only If The Group Action Is Free	example
Moduli Space Of Basic Stable Log Maps	definition
Moduli Space Of Stable Maps
Molcho, Pandharipande, Schmitt — The Hodge Bundle, The Universal 0-Section, And The Log Chow Ring Of The Moduli Space Of Curves (2023)	reference
Molcho, Ranganathan — A Case Study Of Intersections On Blowups Of The Moduli Of Curves (2024)	reference
Molcho, Routis — Localization For Logarithmic Stable Maps (2019)	reference
Morgan — The Seiberg-Witten Equations And Applications To The Topology Of Smooth Four-Manifolds: (1995)	reference
Morrison — Mori Theory Of Moduli Spaces Of Stable Curves	reference
Muhasky — The Differential Operator Ring Of An Affine Curve	reference
Muratore — Enumeration Of Rational Contact Curves Via Torus Actions (2023)	reference
Murphy — Energy And Human Ambitions On A Finite Planet (2021)	reference
Muñiz-Brea — Dimensionality Of Tropical Chow Groups (2024)	reference
Nicolaescu — Lectures On The Geometry Of Manifolds	reference
Nishinou, Siebert — Toric Degenerations Of Toric Varieties And Tropical Curves (2006)	reference
Normal Cone
Notes On Localization And Stable Log Maps
Obstruction Theory Defn	definition
Ogus — Lectures On Logarithmic Algebraic Geometry / Arthur Ogus, University Of California, Berkeley. (2018)	reference
Okounkov — Enumerative Geometry And Geometric Representation Theory (2018)	reference
Okounkov, Pandharipande — Gromov–Witten Theory, Hurwitz Theory, And Completed Cycles (2006)	reference
Olsson — Algebraic Spaces And Stacks (2016)	reference
Olsson — Logarithmic Geometry And Algebraic Stacks	reference
Olsson — Sheaves On Artin Stacks (2007)	reference
Olsson — The Logarithmic Cotangent Complex (2005)	reference
Olsson — Universal Log Structures On Semi-Stable Varieties (2003)	reference
Pandharipande, Thomas — 13/2 Ways Of Counting Curves (2014)	reference
Park — Construction Of Logarithmic Cohomology Theories Ii: On Chow Groups (2025)	reference
Pavlaković — On The Virtual Euler Characteristic Of The Moduli Space Of Stable Pairs On Surfaces (2025)	reference
Peng — A Simple Proof Of Gopakumar-Vafa Conjecture For Local Toric Calabi-Yau Manifolds (2007)	reference
Perfect Complex
Perfect Obstruction Theory Defn	definition
Proper Pushforward	definition
Properties Of Segre Classes	proposition
Pseudo Divisor	definition
Pullback Degree Formula	lemma
Pullback Log Structure	definition
Ramification Index Definition	definition
Ranganathan — An Invitation To The Enumerative Geometry Of Degenerations (2026)	reference
Ranganathan — Logarithmic Gromov–Witten Theory With Expansions (2022)	reference
Ranganathan — Skeletons, Degenerations, Gromov–Witten Theory	reference
Ranganathan, Kumaran — Logarithmic Gromov-Witten Theory And Double Ramification Cycles (2023)	reference
Relationship Between Line Bundles And Cartier Divisors	note
Relative Projectivization Of A Vector Bundle	definition
Representation Theory	article
Ricolfi — An Invitation To Modern Enumerative Geometry (2022)	reference
Ricolfi, Savvas — The D-Critical Structure On The Quot Scheme Of Points Of A Calabi-Yau 3-Fold (2023)	reference
Riemann-Hurwitz Theorem	theorem
Riemann-Roch Theorem	theorem
Romagny — Algebraicity And Smoothness Of Fixed Point Stacks (2022)	reference
Romagny — Group Actions On Stacks And Applications (2005)	reference
Saito — Log Smooth Extension Of A Family Of Curves And Semi-Stable Reduction \| Scilit	reference
Saito — Theory Of Logarithmic Differential Forms And Logarithmic Vector Fields	reference
Schlessinger — Functors Of Artin Rings (1968)	reference
Scholze — Six-Functor Formalisms (2025)	reference
Schuster Brandt Frandsen, Hulme, Parner, Møller, Lindman, Abrahamson, Sjørup Simonsen, Sandell Jacobsen, Ramskov, Skejø, Malisoux, Bertelsen, Nielsen — How Much Running Is Too Much? Identifying High-Risk Running Sessions In A 5200-Person Cohort Study (2025)	reference
Segre Class Of A Vector Bundle	definition
Shalizi — Advanced Data Analysis From An Elementary Point Of View	reference
Shun-Ichi — Fractional Intersection And Bivariant Theory (1992)	reference
Shustin — A Tropical Approach To Enumerative Geometry (2006)	reference
Siebert — Bernd Physics Intensive Class Notes	reference
Siebert — Punctured Logarithmic Maps \| Contents \| Ems Press	reference
Siebert — Virtual Fundamental Classes, Global Normal Cones And Fulton’S Canonical Classes (2005)	reference
Silverman — Advanced Topics In The Arithmetic Of Elliptic Curves (1999)	reference
Singh, Huo — Ace The Data Science Interview	reference
Sprecher, Treger, Wondra — Effects Of Self-Disclosure Role On Liking, Closeness, And Other Impressions In Get-Acquainted Interactions (2013)	reference
Stable Log Map Defn	definition
Stable Log Maps Of Degree 1 To $\Mathbb P^2$	example
Stable Map Definition
Stable Map Family Definition
Stacky Fan	definition
Stanley — Subdivisions And Local H-Vectors (1992)	reference
Strict Morphism Of Log Schemes	definition
Sturmfels, Maclagn — Introduction To Tropical Geometry	reference
Tangent Obstruction Complex Meanderings	article
Tensoring A Projective Bundle With A Line Bundle Doesn'T Do Anything	lemma
Tensoring With An Invertible Sheaf Doesn'T Affect Proj	proposition
Toric Stack	definition
Torres — Theory, Applications, And Open Problems	reference
Totaro — The Chow Ring Of A Classifying Space	reference
Totaro — The Resolution Property For Schemes And Stacks (2004)	reference
Truncation Of The Cotangent Complex	construction
Tu — Differential Geometry (2017)	reference
Turner, Thiergart, Leech, Udell, Vazquez, Mini, Macdiarmid — Steering Language Models With Activation Engineering (2024)	reference
Tymoczko — An Introduction To Equivariant Cohomology And Homology, Following Goresky, Kottwitz, And Macpherson (2005)	reference
Type Of Family Of Tropical Maps And Decorated Type	definition
Universal Family Obstructed By Automorphisms	slogan
Valette — On Subanalytic Geometry (2025)	reference
Valois, Souza, Shimomoto, Fukui — Frame Representation Hypothesis: Multi-Token Llm Interpretability And Concept-Guided Text Generation (2025)	reference
Various Monoid Adjectives	definition
Virtual Normal Bundle
Vistoli — Intersection Theory On Algebraic Stacks And On Their Moduli Spaces (1989)	reference
Vistoli — The Deformation Theory Of Local Complete Intersections (1999)	reference
Voisin — Chow Rings, Decomposition Of The Diagonal, And The Topology Of Families: (2014)	reference
Wang — Log Algebraic Hyperbolicity Of $\Overlinem} { 0,N} (2025)	reference
Wang, La Tour, Watkins, Makelov, Chi, Miserendino, Wang, Rajaram, Heidecke, Patwardhan, Mossing — Persona Features Control Emergent Misalignment (2025)	reference
Webb — Quasimaps And Some Examples Of Stacks For Everybody (2020)	reference
Webb — Virtual Classes Exposition	reference
Weil Divisor Associated To A Cartier Divisor	lemma
Winkelmann — On Manifolds With Trivial Logarithmic Tangent Bundle: The Non-Kähler Case (2008)	reference
Wu — Splitting Of Gromov-Witten Invariants With Toric Gluing Strata (2023)	reference
Wu, Arora, Geiger, Wang, Huang, Jurafsky, Manning, Potts — Axbench: Steering Llms? Even Simple Baselines Outperform Sparse Autoencoders (2025)	reference
Yamaguchi — A Note On The Self-Intersection Formula	reference
Zhao — Mathematical Foundations Of Reinforcement Learning (2025)	reference
Zheng — On The Characteristic Polynomial Of An Effective Hamiltonian (2022)	reference
Ziegler — Lectures On Polytopes (1995)	reference
Zou, Phan, Chen, Campbell, Guo, Ren, Pan, Yin, Mazeika, Dombrowski, Goel, Li, Byun, Wang, Mallen, Basart, Koyejo, Song, Fredrikson, Kolter, Hendrycks — Representation Engineering: A Top-Down Approach To Ai Transparency	reference
Zou, Phan, Chen, Campbell, Guo, Ren, Pan, Yin, Mazeika, Dombrowski, Goel, Li, Byun, Wang, Mallen, Basart, Koyejo, Song, Fredrikson, Kolter, Hendrycks — Representation Engineering: A Top-Down Approach To Ai Transparency (2025)	reference