https://www.daniellitt.com/work daily 1.0 2026-01-19 https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1472149302889-YE7V485O75891G47CW74/10918999_10203912302394343_2265532469598159147_n.jpg Work https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1472150038065-X9R21VCS5XRCU76IUIA0/Z3.jpg Work https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1472150900344-BCU1823KG9OJC1C7UBFS/pythagoreanscale.jpg Work https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1472153721303-E79JB726KZ142FGE5DEJ/ptolemy.jpg Work https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1472164074027-URY0YWKEXV485IJ127CT/keplermusic.jpg Work https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1529509270021-CDV8X41T7SM4BXRTPUBS/weight2cut.png Work https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1472150052846-IKR0EEHYN0J07DBS7BIC/Z3.jpg Work https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1472154628802-6UGA0OBXJJYILMFKEWAD/image-asset.jpeg Work https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1472157190964-JDSKE64GADDWW3H5Z72W/image-asset.jpeg Work https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1472158229156-VOPC6E50R02A47H9LCLA/image-asset.png Work https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1472154305950-9RU12PO17SUK6GU3BWOC/image-asset.jpeg Work https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1472234178843-A2OGWNWLF601GQ2YZZ2U/image-asset.jpeg Work https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1472164021489-OF62ZCJ42LYOFSTUG8WT/keplermusic.jpg Work https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1529472233646-WWTHWIOQNDVI6JZJ8TVT/weight2cut.png Work Please note that the papers below may differ from their published versions. https://www.daniellitt.com/blog daily 0.75 2026-02-21 https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1472784860864-G7I521IFZ697NKECLQEL/boattalkpic.jpg Betalog https://www.daniellitt.com/blog/2026/2/20/mathematics-in-the-library-of-babel monthly 0.5 2026-03-02 https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/d71932d3-8dca-41d5-8b76-fee9b8de77d9/ai_dungeon.jpeg Betalog - Mathematics in the Library of Babel - Make it stand out An attempt at getting GPT-3 to do arithmetic using the game "AI Dungeon” in 2020. It refused. https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/b962da86-ffce-4a8a-85aa-c6b3b4c024ae/gpt3.jpeg Betalog - Mathematics in the Library of Babel - Make it stand out GPT-3 proving Fermat's Little Theorem in 2022, with some help. https://www.daniellitt.com/blog/2025/7/17/arxiv-in-trouble monthly 0.5 2025-07-17 https://www.daniellitt.com/blog/2024/5/30/a-short-story-about-prompt-engineering monthly 0.5 2024-05-30 https://www.daniellitt.com/blog/2022/9/20/an-nserc-proposal monthly 0.5 2022-09-20 https://www.daniellitt.com/blog/2022/9/19/tiling-puzzle-solution monthly 0.5 2022-09-19 https://www.daniellitt.com/blog/2022/8/5/a-tiling-puzzle monthly 0.5 2022-08-05 https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/6ab59c34-4422-47a4-b5bb-110b796c6c55/IMG_0223.jpg Betalog - A tiling puzzle - Make it stand out Four magic triominoes https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/90f1fe9c-18d0-4508-b3a4-09a5340d75a8/IMG_0227.jpg Betalog - A tiling puzzle - Make it stand out Placing two triominoes so that squares of opposite colors are on top of each other annihilates those squares. https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/51aeed40-8032-4b52-ac90-747562c3cf95/IMG_0226.jpg Betalog - A tiling puzzle - Make it stand out Whatever it is, the way you tell your story online can make all the difference. https://www.daniellitt.com/blog/2022/2/1/tensor-powers-of-faithful-representations monthly 0.5 2022-02-03 https://www.daniellitt.com/blog/2020/12/26/the-geometry-of-the-sylow-theorems monthly 0.5 2021-01-01 https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1609190377324-A6VIZV8AJ9C62M90ZOGL/Screen+Shot+2020-12-28+at+4.19.11+PM.png Betalog - The geometry of the Sylow theorems https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1609190418678-LDHR3XZHWRY1AQSYCQWT/Screen+Shot+2020-12-28+at+4.19.15+PM.png Betalog - The geometry of the Sylow theorems https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1609190439513-BP3C7NRICYKCV9EY1TDY/Screen+Shot+2020-12-28+at+4.19.20+PM.png Betalog - The geometry of the Sylow theorems https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1609437241210-U8PUPX2O3JZTGW97XP50/Screen+Shot+2020-12-31+at+12.52.14+PM.png Betalog - The geometry of the Sylow theorems https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1609437287699-GSRJKQ7WRHGSLZ9SD2Z9/Screen+Shot+2020-12-31+at+12.52.28+PM.png Betalog - The geometry of the Sylow theorems https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1609523079670-TUFX5RHJ7SM8GY6OQTRZ/Screen+Shot+2020-12-31+at+12.52.22+PM.png Betalog - The geometry of the Sylow theorems https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1609437609393-VO02GR9WGLF7094OO1F9/Screen+Shot+2020-12-31+at+12.52.36+PM.png Betalog - The geometry of the Sylow theorems https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1609437609755-DWMZLHSVZRUQO0D8HRXT/Screen+Shot+2020-12-31+at+12.52.40+PM.png Betalog - The geometry of the Sylow theorems https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1609445390330-CPVULII0ATA7SML95PN0/image-asset.png Betalog - The geometry of the Sylow theorems https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1609522951335-49MKTFV8XLDEL4E3NEYV/image-asset.png Betalog - The geometry of the Sylow theorems https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1609445647311-ZPDZP3P325Z777V0XV3N/Screen+Shot+2020-12-31+at+12.52.54+PM.png Betalog - The geometry of the Sylow theorems https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1609452448572-5HLHVY831VCNWU85JJWQ/Screen+Shot+2020-12-31+at+12.53.28+PM.png Betalog - The geometry of the Sylow theorems A full flag in \(\mathbb{R}^3\) https://www.daniellitt.com/blog/2020/6/10/some-low-hanging-fruit monthly 0.5 2020-06-10 https://www.daniellitt.com/blog/2020/5/2/scissors-integration monthly 0.5 2020-05-03 https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1588449090825-P70I474AGRUKF67SBN4R/Screen+Shot+2020-05-02+at+3.50.54+PM.png Betalog - Scissors integration Why does this region have rational area? https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1588450831751-B1EM7GFBLJT7XCSOLUPD/purple-integral.gif Betalog - Scissors integration Integating \(x^2\) https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1588452006108-BA50RT9PZIZ2QRJGBNTF/image-asset.gif Betalog - Scissors integration A dissection of our region into \(2!\) \(3\)-simplices https://www.daniellitt.com/blog/2020/4/28/grant-materials monthly 0.5 2020-04-28 https://www.daniellitt.com/blog/2020/4/23/department-tea-and-revised-office-hours-tomorrow monthly 0.5 2020-04-23 https://www.daniellitt.com/blog/2020/4/20/wagon-lessons-learned monthly 0.5 2020-04-22 https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1587435471320-HT6RMW65KXG681ZNABSY/image-asset.png Betalog - WAGON: Lessons learned - The conference poster https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1587569702036-7WXVJ7ZC9Q9A9JWZ5DK4/Screen+Shot+2020-04-22+at+11.34.40+AM.png Betalog - WAGON: Lessons learned The conference schedule https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1587435120649-7XR7NLRBXK8G8QDD2SUE/Screen+Shot+2020-04-18+at+5.30.30+PM.png Betalog - WAGON: Lessons learned A screenshot from Nick Addington’s talk. https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1587436487801-RSWI4CXXO0Q1PM2Q2POG/Screen+Shot+2020-04-20+at+10.34.26+PM.png Betalog - WAGON: Lessons learned The coffee break Google Doc https://www.daniellitt.com/blog/2020/4/15/wagon monthly 0.5 2020-04-15 https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1586972457846-EYV705TKZ243ERVQWKOS/wagon_45347640+%284%29.png Betalog - WAGON https://www.daniellitt.com/blog/2020/3/26/reflections-on-agonize-and-online-conferences monthly 0.5 2020-03-26 https://www.daniellitt.com/blog/2020/3/19/office-hours monthly 0.5 2020-03-19 https://www.daniellitt.com/blog/2020/3/19/agonize monthly 0.5 2020-03-19 https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1584641198979-PKYG0X7UZ8QOG4DPNDAU/agonize_45071081+%281%29.png Betalog - AGONIZE https://www.daniellitt.com/blog/2019/7/30/geometricity-and-galois-actions-on-fundamental-groups monthly 0.5 2019-07-30 https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1564510905723-RO5M10GHBP68ZVRCZXLW/EAsZHh2XYAElM7K.jpeg Betalog - Geometricity and Galois actions on fundamental groups Pictured: Wei Ho, Ravi Vakil, Benson Farb, Jordan Ellenberg, Kirsten Wickelgren, Soren Galatius, Will Sawin, and the Dragon Langlands https://www.daniellitt.com/blog/2019/7/15/im-a-numberphile monthly 0.5 2020-03-19 https://www.daniellitt.com/blog/2019/2/23/arithmetic-and-representations-of-fundamental-groups monthly 0.5 2019-02-23 https://www.daniellitt.com/blog/2019/2/12/holding-the-p-adics-in-the-palm-of-your-hand monthly 0.5 2019-05-19 https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1550012923873-70I6MC0VF4K1NLADG60B/3-adics.png Betalog - Holding the p-adics in the palm of your hand (with thanks to Matt Kukla) Really this is \(\mathbb{Z}/243\mathbb{Z}\) https://www.daniellitt.com/blog/2019/2/6/what-ive-been-thinking-about-recently monthly 0.5 2019-02-06 https://www.daniellitt.com/blog/2018/10/30/more-tate-curves-more-problems monthly 0.5 2018-10-30 https://www.daniellitt.com/blog/2018/9/30/12-minutes-of-monodromy monthly 0.5 2018-09-30 https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1538350767756-077S5S1H27JAUKBOLTFJ/Screen+Shot+2018-09-30+at+7.40.27+PM.png Betalog - 12 minutes of monodromy https://www.daniellitt.com/blog/2018/9/27/a-quick-comment-on-rh monthly 0.5 2018-09-27 https://www.daniellitt.com/blog/2018/7/14/the-boston-markin-conjecture-for-three-manifolds monthly 0.5 2020-03-27 https://www.daniellitt.com/blog/2018/3/4/guest-post-ordinals-and-hydras-by-brian-lawrence monthly 0.5 2018-07-14 https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1520194624162-I38E7S6TONMNI1BRQNRQ/d2.png Betalog - Guest Post: Ordinals and Hydras, by Brian Lawrence One move of the hydra game. https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1520194716592-7UEN5OUON04W65CMJFKZ/d3.png Betalog - Guest Post: Ordinals and Hydras, by Brian Lawrence The tree \(T_4\) https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1520194777084-7K95RCOJAW2LMVMXBONX/d1.png Betalog - Guest Post: Ordinals and Hydras, by Brian Lawrence The tree corresponding to the tuple \((0, 2, 1, 1, 0, 0, \ldots)\). https://www.daniellitt.com/blog/2017/11/5/donate-to-mathoverflow monthly 0.5 2017-11-05 https://www.daniellitt.com/blog/2017/11/2/a-non-prorepresentable-deformation-functor monthly 0.5 2020-05-02 https://www.daniellitt.com/blog/2017/9/3/hire-me monthly 0.5 2017-09-14 https://www.daniellitt.com/blog/2017/7/18/the-parity-of-zero-the-primality-of-two-and-other-mysteries monthly 0.5 2017-07-19 https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1500429958871-GATXL90Q7NSUTSQ8F0QZ/image-asset.png Betalog - The parity of zero, the primality of two, and other mysteries You'd think this one would be pretty easy... https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1500430023278-5INVD21V2BYMP5YN3GYC/image-asset.png Betalog - The parity of zero, the primality of two, and other mysteries Maybe a little tougher. https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1500430957142-4LHOGA77YZXJXHCNH41Q/image-asset.png Betalog - The parity of zero, the primality of two, and other mysteries Well 8 is pretty even, I guess. https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1500430694890-CBLD8102QIWSQAYAUB33/image-asset.png Betalog - The parity of zero, the primality of two, and other mysteries Yeesh. https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1500431204345-7H0DXR1QBTWHK8ZNGBOP/image-asset.png Betalog - The parity of zero, the primality of two, and other mysteries Not bad! https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1500431346203-KQURRERPFHROUTAORXUY/image-asset.png Betalog - The parity of zero, the primality of two, and other mysteries Pretty tough. https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1500431729953-E2KJ9YQA55T9CXAI1MR4/Screen+Shot+2017-07-18+at+10.35.10+PM.png Betalog - The parity of zero, the primality of two, and other mysteries Hmm. https://www.daniellitt.com/blog/2017/5/11/villani-for-parliament monthly 0.5 2017-05-11 https://www.daniellitt.com/blog/2017/5/9/uniformization-over-finite-fields monthly 0.5 2017-05-11 https://www.daniellitt.com/blog/2017/4/26/constructive-criticism monthly 0.5 2017-05-11 https://www.daniellitt.com/blog/2017/3/18/the-lost-world monthly 0.5 2024-08-26 https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1489866740839-CVAYA1KN9KO4KAZA1WYO/IMG_4135.jpg Betalog - The Lost World The view as one approaches the complex https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1489868434904-FXUX7VU8ZYJP8X2RBPDH/IMG_4066.jpg Betalog - The Lost World The interior of the rainforest https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1489868442590-U8U3D1PCPNUSCV1FD0NN/IMG_4068.jpg Betalog - The Lost World https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1489868461658-CTACYTKXSX3U78TRPJ00/IMG_4070.jpg Betalog - The Lost World https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1489868464957-K71WUO4C52XWODBWV2IK/IMG_4072.jpg Betalog - The Lost World The tour group https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1489869133989-XPYK8IA2IP3EAT1GE4KL/IMG_4052.jpg Betalog - The Lost World The interior of the savanna https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1489869139854-GKKSODA9GYSYGRO12UR5/IMG_4056.jpg Betalog - The Lost World https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1489869146479-Z5TR7GVWX6AL5O3WH079/IMG_4057.jpg Betalog - The Lost World https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1489869166084-9NHUBIZZB4NASMSIPHDH/IMG_4080.jpg Betalog - The Lost World https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1489869189282-ICVVE1J22DWMG5F6DFSD/IMG_4082.jpg Betalog - The Lost World Enjoying the tour https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1489869192449-T4N98AWF2D95NB2B4UBG/IMG_4086.jpg Betalog - The Lost World Just chilling in the savanna; photo credit: Dori Bejleri https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1489869953377-G1X6TLVSM9QLVZK529P2/IMG_4075.jpg Betalog - The Lost World The ocean from above https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1489869953433-RTYWEF3Z0N7GKKPH0X03/IMG_4076.jpg Betalog - The Lost World https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1489870303852-S8MXY3CHPVQORNR9S4VE/IMG_4118.jpg Betalog - The Lost World The desert from outside https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1489870298200-95031VFZGGWJUR94LWDH/IMG_4089.jpg Betalog - The Lost World A desert in a pyramid -- an unusual inversion https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1489870298907-C12MP7X044WM4GRZ1IFA/IMG_4093.jpg Betalog - The Lost World The interior of the desert https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1489870984828-ZAGW5H61R86STIHJ67TL/IMG_4095.jpg Betalog - The Lost World The technosphere https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1489870990974-TQ7DTX6V689H69UB5G7K/IMG_4102.jpg Betalog - The Lost World The interior of the lung https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1489871740407-TFN2SDEGCF3X8F8EPRIV/IMG_4126.jpg Betalog - The Lost World The exterior of the savanna https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1489871747566-5YZM0XKTVUJ8OLJADK2K/IMG_4136.jpg Betalog - The Lost World The exterior of the rainforest https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1489871706214-BR3B3ARI65GAA7C65A9J/IMG_4036.jpg Betalog - The Lost World https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1489871725353-OBF8229SIXSI1P5GCMS5/IMG_4107.jpg Betalog - The Lost World The exterior of the lung https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1489871706058-91PJN5HPY8VI3YGMA2K2/IMG_4037.jpg Betalog - The Lost World The human habitat https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1489871739431-VVMHWOPJ42E28YTZNWKZ/IMG_4131.jpg Betalog - The Lost World The marsh exterior https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1489872835437-VVPCHKKV6S47MU96VBRF/IMG_4042.jpg Betalog - The Lost World The (quite nice) kitchen https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1489872839405-T98MMELKWVHWQL5UFT3Q/IMG_4050.jpg Betalog - The Lost World The biospherians each had two-story apartments within the facility https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1489945204980-DT9MWKPVUZ4SMH9EKW6U/image-asset.jpeg Betalog - The Lost World The original location of the intensive agriculture biome, now the Landscape Evolution Observatory https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1489982523741-CL3XL1Z00OBTQD5KRPED/IMG_4044.jpg Betalog - The Lost World The lunar garden at Biosphere 2 https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1489982834993-HOV9TMJV63DDF2MQRWVC/P1010690cropped.jpg Betalog - The Lost World Painting by Marie Harding - Synergia Ranch https://www.daniellitt.com/blog/2017/2/22/sawin-on-severis-conjecture monthly 0.5 2017-02-24 https://www.daniellitt.com/blog/2017/2/13/mumford-at-the-met monthly 0.5 2017-02-24 https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1486996333565-XB8274A7898ELEJ5J6PA/IMG_3998.JPG Betalog - Mumford at the Met https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1486996330657-W622KVD7F48Y6ODCO0JQ/IMG_3999.JPG Betalog - Mumford at the Met https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1486996333616-G2HP93L9NJFMOELX6NUC/IMG_4001.JPG Betalog - Mumford at the Met https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1486996688065-H26MEXVC8ZCRGOGA0Q7F/IMG_4002.JPG Betalog - Mumford at the Met https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1486996687344-CKNNL7YBN4FL38HGNHDM/IMG_4004.JPG Betalog - Mumford at the Met https://www.daniellitt.com/blog/2017/1/30/cs-lewis-on-commutative-algebra monthly 0.5 2017-01-30 https://www.daniellitt.com/blog/2016/12/13/graph-theory-and-mathfraksl2 monthly 0.5 2017-03-19 https://www.daniellitt.com/blog/2016/11/28/jie-liu-on-projective-space monthly 0.5 2017-03-19 https://www.daniellitt.com/blog/2016/11/14/whats-wrong-with-the-world monthly 0.5 2016-11-17 https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1479361466205-DEVUUD10OI3WW1FAQ0LE/Aaaaayyyyyy Betalog - What's wrong with the world? Aaaaaaayyyyyyyy.... https://www.daniellitt.com/blog/2016/10/19/biospheres monthly 0.5 2016-10-19 https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1476839476433-5NDVIHF8ZCZ23R824H9H/image-asset.png Betalog - Biospheres Photo Credit: The NASA Deep Space Climate Observatory. https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1476839634462-PHBTMZ6585QBBDBBPJRJ/image-asset.jpeg Betalog - Biospheres Photo Credit: Wikipedia User Johndedios. I want to go to there. https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1476840841133-DYYFLZ1VCH1I3NUXCPJT/image-asset.jpeg Betalog - Biospheres (AFP Photo/Sian Proctor) Are lovers of geodesic domes more likely than average to shut themselves away in an isolated habitat for years on end? https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1476841657153-Q06DXEME3QI9FHPX150V/image-asset.jpeg Betalog - Biospheres From the Daily Mail (ugh). This man clearly loves his biosphere. https://www.daniellitt.com/blog/2016/10/11/we-already-live-in-rationalia monthly 0.5 2016-10-19 https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1476235166147-7DWASC3ATEI0BQWNP2RZ/image-asset.png Betalog - Rationalia, USA I guess this is the post where I pick a fight with XKCD... https://www.daniellitt.com/blog/2016/10/6/a-minimal-proof-of-the-fundamental-theorem-of-algebra monthly 0.5 2021-01-13 https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1475810112518-V9G3W92LUWPFFCKDZ93A/image-asset.jpeg Betalog - A "minimal" proof of the fundamental theorem of algebra The cubic discriminant, created using grapher. Observe that one can see the the singular locus (the twisted cubic), which can be thought of as the set of cubics with a triple root. https://www.daniellitt.com/blog/2016/10/3/-lemmas monthly 0.5 2016-10-07 https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1475547965913-5UEJBQ6RPEJLIIPO2AB1/image-asset.png Betalog - -Lemmas Here's a dilemma: should I be spending my time on this or on something more important? https://www.daniellitt.com/blog/2016/9/28/are-shimura-varieties-kpi-1s monthly 0.5 2017-03-19 https://www.daniellitt.com/blog/2016/9/25/weapons-of-math-destruction monthly 0.5 2016-11-17 https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1479361593157-2M6VDXOX9A3IXDDMRYXQ/weaponsmath-r4-6-06.jpg Betalog - Weapons of Math Destruction Wea-puns of mass destruction? https://www.daniellitt.com/blog/2016/9/19/the-typographical-equivalent-of-a-knife-fight monthly 0.5 2016-10-04 https://www.daniellitt.com/blog/2016/9/1/imaginary-worlds monthly 0.5 2016-09-16 https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1474044860385-JVWJJK7UIBT7FAO0UQHT/image-asset.jpeg Betalog - Man After Man Somehow the genetically engineered humans of the far future have mullets. https://www.daniellitt.com/blog/2016/9/12/morita-theory-tannaka-duality-and-approximate-tannaka-duality monthly 0.5 2017-03-19 https://www.daniellitt.com/blog/2016/9/8/varieties-with-infinitely-generated-automorphism-group monthly 0.5 2017-03-19 https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1473389354659-JFY88SJ7V2ZOCF5QYMAM/image-asset.png Betalog - Varieties with infinitely generated automorphism group A picture of the involution described above, from John's paper https://www.daniellitt.com/blog/2016/9/6/integral-house monthly 0.5 2016-09-28 https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1473188363993-P4JS4WPQJXNH8SOK3BMJ/image-asset.jpeg Betalog - Integral House Who says that math doesn't pay? https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1473188056931-NAECI4TLRCTKI9ATA76O/image-asset.jpeg Betalog - Integral House The man loved calculus... https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1473188171259-E3YG1GHBR5X3P8Q8E27C/image-asset.jpeg Betalog - Integral House Stewart's concert hall, in which he could, for a brief moment, forget the cries of the millions of calculus students whose textbook purchases paid for his mansion habit https://www.daniellitt.com/blog/2016/9/3/taaag monthly 0.5 2016-09-03 https://www.daniellitt.com/blog/2016/9/1/my-hero monthly 0.5 2016-09-14 https://images.squarespace-cdn.com/content/v1/57bf2a6de3df281593b7f57d/1472788805704-E3CSRY30QF58EE5AL21M/image-asset.jpeg Betalog - My Hero You shall not pass! 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