Good Fibrations

math is art

A blog since 2013. Scraps of a playground annealing in the dark.

Highlights

Math82 Half Haunted: Relating the 1/2's in Duflo and Harish-Chandra A Swashbuckling Tour of Elliptic Cohomology The Bernoulli Numbers Come from a Shift Operator Dirichlet Series and Homology Theories
Science62 The Untested Drug that Saved My Cat's Life: Neostigmine as a Treatment for Feline Idiopathic Megacolon The Biome Neuroprosthetic Sensing Hardware PRIIIME: Modular Powered Wheelchair Pressure Ulcer Prevention
Art44
Impaction (My First Play) Experience it yourself: read the screenplayWatch it performed ↗
webcomic: re-search Designing the Young Topologists Meeting 2024
I'll cut you into manageable pieces
I hope you're not too hard to glue back together
There's so many ways to form an affine cover
Yet I keep slicing open your stomach
  1. 1 Čech Covers
A Song About Computing Sheaf Cohomology with Cech Covers
Prose35 Job Title: Universe Debugger (the Importance of Implementation) Fuck Perfectionism “I’m not good at math” A Caterpillar’s Life Lesson The Purpose of Communication & Assigning Credit

Recents

2026

  1. The Untested Drug that Saved My Cat's Life: Neostigmine as a Treatment for Feline Idiopathic Megacolon ScienceBiology & medicine
  2. Impaction (My First Play) ArtWriting & theater

2025

  1. Using Automorphism Groups of Curves to Control the Slopes of their Jacobians MathAlgebraic & arithmetic geometryNumber theory
  2. Cut and Paste Invariants and Duality: A Motivating Example Via zeta(-1), zeta(2) and SL_2Z MathAlgebraic & arithmetic geometryNumber theory
  3. The Bernoulli Numbers Come from a Shift Operator MathNumber theoryCombinatorics & puzzles
  4. The Crystalline Period Map ArtHomotopy theoryFormal groups
  5. A Song About Computing Sheaf Cohomology with Cech Covers ArtMusicWriting & theater
  6. Fuck Perfectionism ProseLife, study & work

2024

  1. Designing the Young Topologists Meeting 2024 ArtGeometry & topologyCombinatorics & puzzles
  2. The Biome ScienceBiology & medicine

2023

  1. Half Haunted: The 1/2 in Harish-Chandra via the Fourier Transform MathGeometric representation theoryAlgebra & representation theory
  2. Half Haunted: Relating the 1/2's in Duflo and Harish-Chandra MathGeometric representation theoryAlgebra & representation theory

2022

  1. Stop Staring and Compute! Automorphism Groups of Rational Curves MathAlgebraic & arithmetic geometryAlgebra & representation theory

2021

  1. webcomic: re-search ArtDrawing, painting & comics

2020

  1. Hecke orbits and Homotopy MathHomotopy theoryFormal groupsNumber theory

2019

  1. Honda, Taira, On the Formal Structure of the Jacobian Variety of the Fermat Curve over a (p)-adic Integer Ring MathFormal groupsAlgebraic & arithmetic geometryNumber theory
  2. Overview of the Classic Theory of p-Divisible groups MathFormal groupsAlgebraic & arithmetic geometryNumber theory

2018

  1. Fiber Bundles of Formal Disks MathAlgebraic & arithmetic geometryGeometry & topology
  2. Automorphisms of the Jacobian MathAlgebraic & arithmetic geometryProgramming & tools
  3. Scared ArtDrawing, painting & comics
  4. Portrait Practice ArtDrawing, painting & comics
  5. Simple ArtProgramming & toolsDrawing, painting & comics
  6. Ukulele Songs from the TamagaWHAT Seminar ArtMusicWriting & theater
  7. Geometry For Prime Addicts MathAlgebraic & arithmetic geometryNumber theory

2017

  1. The Height of a Formal Group Law in terms of the Symmetry of the Underlying CM Abelian Variety MathFormal groupsAlgebraic & arithmetic geometryNumber theory
  2. Calculating the Period Matrix of a Shiga Curve, \(y^3 = x^4-1\). MathAlgebraic & arithmetic geometryProgramming & tools
  3. Models of Formal Group Laws of Every Height MathFormal groupsAlgebraic & arithmetic geometryNumber theory
  4. Calculating the homotopy groups of tmf at the prime 2 MathHomotopy theory
  5. Hidden Structure ArtWriting & theater

2016

  1. Umbral Calculus Derivation of the Bernoulli numbers MathNumber theoryCombinatorics & puzzles
  2. Flurry ArtDrawing, painting & comics
  3. How do I construct the Tits-Freudenthal magic square? MathAlgebra & representation theory
  4. What does an algebraic integer have to be? MathNumber theory
  5. A doodle from class ArtDrawing, painting & comics
  6. Newspaper Ad: Looking for a Variety MathFormal groupsAlgebraic & arithmetic geometry
  7. How do I explicitly write an ODE as a linear ODE + a nonlinear ODE? MathAnalysis & calculusPhysics
  8. Spectrum of a Ring and Spectrum of a Linear Operator MathAlgebraic & arithmetic geometryAlgebra & representation theory
  9. A Saturday Doodle ArtDrawing, painting & comics
  10. What is the “universal enveloping algebra” of a formal group law? MathFormal groupsAlgebra & representation theory

2015

  1. Classification of Conic Sections MathGeometry & topology
  2. A quick comparison of Lie algebras and formal group laws MathFormal groupsAlgebra & representation theoryGeometric representation theory
  3. The Cup Product of the Klein Bottle mod 2 MathHomotopy theoryGeometry & topology
  4. A question on primes MathAlgebraic & arithmetic geometryNumber theory
  5. Chromatic Coppersmith Theory MathHomotopy theoryFormal groups
  6. A Short Post on a Problem of Euler MathNumber theory
  7. On Detiling Polynomials: A Generalization of the Euler MacLaurin Formula MathNumber theoryAnalysis & calculusCombinatorics & puzzles
  8. A Quick Note on a Geometric Definition of (v_n) MathHomotopy theoryAlgebra & representation theory
  9. Some comments on math communication ProseLife, study & work
  10. What is the orientation of a ring? MathHomotopy theoryNumber theory
  11. Group Contractions for Elliptic Curves MathFormal groupsAlgebraic & arithmetic geometry
  12. Complex Analysis: Poles, Residues, and Child’s Drawings MathAnalysis & calculusAlgebraic & arithmetic geometry
  13. What is the difference between homotopy and coherent homotopy? MathHomotopy theoryAlgebra & representation theory
  14. Thoughts on Fractional Cohomology MathHomotopy theoryAlgebra & representation theory
  15. Dirichlet Series and Homology Theories MathNumber theoryHomotopy theoryAnalysis & calculus
  16. A First Look at an Equivariant Elliptic Cohomology MathHomotopy theoryFormal groups
  17. Spf (E*[[x]]): Your walk through a flower garden MathFormal groupsAlgebraic & arithmetic geometry
  18. A Second Glimpse of Spectra MathHomotopy theoryGeometry & topology
  19. Bordism with singularities construction of elliptic homology MathHomotopy theoryAlgebra & representation theory
  20. Elliptic Curve Formal Group Laws: Philosophy and Derivation MathFormal groupsAlgebraic & arithmetic geometry
  21. What does the sphere spectrum have to do with formal group laws? MathHomotopy theoryFormal groups
  22. Landweber-Ravenel-Stong Construction Flowchart MathHomotopy theoryFormal groups
  23. The Landweber exact-functor theorem MathHomotopy theoryFormal groups
  24. Die Philosophie der formalen Gruppengesetzen der elliptischen Kurve MathFormal groupsAlgebraic & arithmetic geometry
  25. What is an elliptic curve? MathAlgebraic & arithmetic geometryNumber theory
  26. Group Law on the (Punctured) Affine Line MathAlgebraic & arithmetic geometryAlgebra & representation theory
  27. (Pic(X)) vs. (CP^infty) MathHomotopy theoryFormal groups
  28. Some Thoughts on Dynamical Systems MathHomotopy theoryPhysics
  29. Red. (Digital) ArtProgramming & toolsDrawing, painting & comics
  30. A Precursor to Characteristic Classes MathHomotopy theoryAlgebraic & arithmetic geometry
  31. Oriented Cobordism Cohomology MathHomotopy theoryGeometry & topology
  32. Orange-Blue (Acrylic) ArtDrawing, painting & comics
  33. Spectrum of a Ring MathAlgebraic & arithmetic geometryAlgebra & representation theory
  34. A Swashbuckling Tour of Elliptic Cohomology MathHomotopy theoryFormal groups
  35. A Recipe for Constructions ((R_F(G)), (A(G)), (K_0(X)), …) MathHomotopy theoryAlgebra & representation theory
  36. Understanding the Lazard Ring MathHomotopy theoryFormal groups

2014

  1. Staring. ArtAlgebra & representation theoryWriting & theater
  2. Maps of a Torus MathHomotopy theoryGeometry & topology
  3. Swashbuckling Notes on Topos Theory MathAlgebra & representation theory
  4. Spin Manifolds MathGeometry & topology
  5. “I’m not good at math” ProseGeometry & topologyLife, study & work
  6. Notes on Covering Spaces as Extensions MathHomotopy theoryNumber theory
  7. Walk through the mind (Pencil) ArtDrawing, painting & comics
  8. Untitled ArtDrawing, painting & comics
  9. Studying Geometry ArtGeometry & topologyDrawing, painting & comics
  10. A Gentle Introduction to Tensors and Monoids MathAlgebra & representation theory
  11. An Informal Categorical Introduction to Lie’s Theorems MathAlgebra & representation theory
  12. Introduction to Bundles MathHomotopy theoryGeometry & topology
  13. Studying Symmetry MathAlgebra & representation theoryAnalysis & calculus
  14. A Unifying Language MathAlgebra & representation theoryCombinatorics & puzzles
  15. Unfinished Painter’s Tape Mural ArtDrawing, painting & comics
  16. Graphical Supersymmetry Algebras MathAlgebra & representation theoryCombinatorics & puzzles
  17. An Autodidact’s Topology Curriculum MathHomotopy theoryAlgebra & representation theory
  18. Respect Our Work. ProseLife, study & work
  19. Taking Control ArtDrawing, painting & comics
  20. A Caterpillar’s Life Lesson ProseLife, study & work
  21. Basic Topology MathGeometry & topologyRobotics & machine learning
  22. Manufacturing a Cellular Pressure Sore Mattress ScienceAlgebra & representation theoryBiology & medicine
  23. Learning the ultrasonic language of rodents ScienceBiology & medicineRobotics & machine learningProgramming & tools
  24. Manipulation of Living Cells & Dead Ones SciencePhysicsBiology & medicine
  25. PRIIIME: Modular Powered Wheelchair ScienceBiology & medicineBraille & accessibility
  26. Don’t Disturb ArtLife, study & work
  27. Positive Interference ArtDrawing, painting & comics
  28. Computational Materials Science SciencePhysicsProgramming & tools
  29. A Researcher’s Research Experiment ProseLife, study & work
  30. Neuroprosthetic Sensing Hardware SciencePhysicsBiology & medicine
  31. My Todo System ProseLife, study & work
  32. Introduction to Algebraic Structures MathAlgebra & representation theoryDrawing, painting & comics
  33. Semi-Autonomous Robotics: (2012) My 1st Software Project ScienceRobotics & machine learningProgramming & tools
  34. Pressure Ulcer Prevention ScienceBiology & medicineBraille & accessibility
  35. Generate CSV of Google Music Playlist ScienceProgramming & toolsMusic
  36. How to: Learn a New Discipline ProseLife, study & work
  37. Too Many Ideas: Avoiding “Ooh Shiny” Syndrome ProseLife, study & work
  38. Existential Comfort ArtDrawing, painting & comics
  39. Reframing the Gluten Scanner ScienceBiology & medicine
  40. Finding Routine in Freedom ProseLife, study & work
  41. Linux Laptop Environment Setup ScienceProgramming & tools
  42. Happy Birthday, Austin! ArtDrawing, painting & comics
  43. On Categories and Concepts: Hofstadter Talk ScienceLife, study & work
  44. The Utility of Art vs. STEM ProseDrawing, painting & comics
  45. How Stockfish Works: An Evaluation of the Databases Behind the Top Open-Source Chess Engine ScienceCombinatorics & puzzlesRobotics & machine learning
  46. Song Recommendations ProseMusicLife, study & work
  47. College, Would You Like Fries With That? ArtMusicWriting & theater
  48. Old Posts Are Being Manually Restored ProseLife, study & work
  49. Frodo Baggins Contacts REX Computing ProseWriting & theater
  50. Terminal Hexagonal Lattice ScienceProgramming & toolsDrawing, painting & comics
  51. Quick Basics of Enumerative Combinatorics MathCombinatorics & puzzles
  52. SPOILERS: Using Simple Combinatorics MathNumber theoryCombinatorics & puzzles
  53. Controlling Fear ProseLife, study & work
  54. Force Quit in Ubuntu ScienceProgramming & tools
  55. Doodling with Painter’s Tape ArtDrawing, painting & comics
  56. Penrose Triangle ArtGeometry & topologyDrawing, painting & comics
  57. Introductory Science Kit SciencePhysicsLife, study & work
  58. A Method to Not Prove the Collatz Conjecture MathNumber theory
  59. Doodle Painting: Tesseract ArtGeometry & topologyDrawing, painting & comics

2013

  1. 18 General Lessons I Learned in University ProseLife, study & work
  2. Megan’s Present ArtDrawing, painting & comics
  3. Natural Transformation MathAlgebra & representation theory
  4. Adding Weather Indicator ScienceProgramming & tools
  5. JDX ArtBraille & accessibilityDrawing, painting & comics
  6. The Monads Trilogy (Categories, Functors, Monads) MathAlgebra & representation theory
  7. What is Bra-ket Notation? SciencePhysics
  8. HackMIT: Polyglass ScienceNumber theoryProgramming & tools
  9. Open Your Mind ArtDrawing, painting & comics
  10. Braille Cell with VPython ScienceBiology & medicineBraille & accessibility
  11. The Engineer-Musician ProseAlgebra & representation theoryProgramming & tools
  12. Doodling at Dinner ArtDrawing, painting & comics
  13. Braille System Font ScienceBraille & accessibilityProgramming & tools
  14. (Cover) Strange Charm - Hank Green ArtPhysicsMusic
  15. Simple Cubic Lattice SciencePhysicsProgramming & tools
  16. Coupled Oscillator Love SciencePhysics
  17. Unschärferelation SciencePhysicsLife, study & work
  18. Writing in German: Keyboard Shortcuts ScienceProgramming & toolsWriting & theater
  19. Blame Bias & Project Unbreakable ProseLife, study & work
  20. Do You Even Search, Bro? ScienceProgramming & tools
  21. What Does This Wobbly “d” Do? MathAnalysis & calculus
  22. Visual Braille: [2] Prefix Indicator ScienceBraille & accessibility
  23. A Simple Look at Nanowire Assemblies in Optics SciencePhysics
  24. English to Morse Translator ScienceBraille & accessibilityProgramming & tools
  25. Visual Grade 2 Braille Dictionary Introduction ScienceBraille & accessibilityLife, study & work
  26. The Purpose of Communication & Assigning Credit ProseLife, study & work
  27. New Mediums Are Cool (Stencil-like Vinyl Decals) ArtDrawing, painting & comics
  28. My Weekly Planner Template ProseBraille & accessibilityLife, study & work
  29. The Handwritten Greek Alphabet: A Quick Guide MathLife, study & work
  30. Why Art Leads To Mathematics ProseDrawing, painting & comicsWriting & theater
  31. Why Young Innovators Should Answer the Call ProseLife, study & work
  32. Visual Morse Alphabet Binary Tree ScienceCombinatorics & puzzlesBraille & accessibility
  33. Visual Braille: [1] Braille Alphabet ScienceBraille & accessibilityLife, study & work
  34. Playing in Vim ScienceProgramming & toolsLife, study & work
  35. Consequent Challenge ScienceProgramming & tools
  36. Temporarily Mute: An Overview of Communication Methods ProseProgramming & tools
  37. Procrastinating? Fix it. ProseLife, study & work
  38. Tired of the References Section? ProseCombinatorics & puzzlesLife, study & work
  39. Popular Weekdays ScienceProgramming & tools
  40. Duct-Tape Decoration ArtDrawing, painting & comicsMusic
  41. Job Title: Universe Debugger (the Importance of Implementation) ProseWriting & theater
  42. Installing CoffeeScript on Ubuntu 13.04 ScienceProgramming & tools
  43. What I Learned During My Summer Internship at Cloudera ProseAlgebra & representation theoryLife, study & work
  44. Introduction to Hive ScienceProgramming & tools
  45. Small Math Puzzles Make My Day MathCombinatorics & puzzlesProgramming & tools
  46. Grep Is a Magical Beast (ft. HiveQL and Impala) ScienceProgramming & tools
  47. mySQL: LIKE vs. REGEXP ScienceProgramming & tools
  48. Avoid SQL Injection in JDBC ScienceProgramming & tools
  49. Bash Scripts I Use With Github ScienceProgramming & tools
  50. Todo system ScienceProgramming & toolsLife, study & work
  51. Perl Basics ScienceProgramming & tools
  52. Setting Up pygeoip Environment on Ubuntu ScienceProgramming & tools
  53. The Divine Computer ArtBraille & accessibilityProgramming & tools
  54. Hadoop’s 5 Daemons ScienceDrawing, painting & comics
  55. Python: Planning Lunches and Groceries ScienceProgramming & tools
  56. Semi-Sculptures ArtGeometry & topologyDrawing, painting & comics
  57. Matlab: Smooth Rotating Animation for Line Plots SciencePhysicsProgramming & tools
  58. Visual Morse Code ProseBraille & accessibilityProgramming & tools
  59. Matlab: Lorenz Attractor MathPhysicsProgramming & tools
  60. Matlab: Create Mesh or Surface From Line Plot SciencePhysicsProgramming & tools
  61. Matlab: Coaxial Cylinders (Polar Coordinates) ScienceProgramming & tools
  62. An Essay: Why Doctor Who is Awesome ProseAlgebra & representation theoryWriting & theater
  63. Some Trombone Basics ArtMusic
  64. Speed Drawing a Hand starring the Elven Welcome ArtAlgebra & representation theoryDrawing, painting & comics
  65. Matlab: Rotating Sphere Animation ScienceCombinatorics & puzzlesProgramming & tools
  66. Trombone Bell Decoration ArtDrawing, painting & comicsMusic
  67. Translation of the DrawBraille Phone Ad ScienceBraille & accessibility
  68. MinutePhysics is Naively Incorrect: Finding the Limit of a Geometric Series MathAnalysis & calculusPhysics
  69. Matlab: 2 Methods of Generating a Rainbow ScienceProgramming & tools
  70. CAMEL Poster ScienceBraille & accessibilityRobotics & machine learning
  71. CodingBat Java Solutions (Assorted) ScienceAlgebra & representation theoryProgramming & tools
  72. CodingBat Java (Assorted Warmup-1) Solutions ScienceProgramming & tools
  73. Turning in Reverse ProseWriting & theaterLife, study & work
  74. DC Josephson Effect SciencePhysics
  75. Chess Tips for Beginners ProseCombinatorics & puzzles
  76. Braille Cube ProseBraille & accessibility
  77. Are These 3 Points Collinear? MathGeometry & topology
  78. Algebraic Chess Notation ProseCombinatorics & puzzlesRobotics & machine learning
  79. Perl is a Beautiful Thing (Replace All Instances of a String in a Directory) ScienceAlgebra & representation theoryProgramming & tools
  80. I Write Poetry in Python ArtProgramming & toolsMusic
  81. Find the Fractional Form of a Repeating Decimal MathNumber theory
  82. Doctor Who Poems ArtWriting & theater
  83. CAMEL paper ScienceBraille & accessibilityRobotics & machine learning
  84. Pythonic Method Calling ScienceProgramming & tools
  85. Listing Programming Languages on Your Resume ProseProgramming & toolsWriting & theater
  86. Various Drawings ArtDrawing, painting & comics
  87. Introduction to Braille ScienceBraille & accessibilityRobotics & machine learning
  88. Introduction to FractalCows ProsePhysics
  89. Implementation of Prime Number Algorithms MathNumber theoryProgramming & tools