Uzu Lim @uzulim.bsky.social · 15/04/2026Gonna try using Bluesky again. Here's a funny picture I found the other day on a paper 010
Reposted by Uzu LimGiovanni di Sarra @giovds.bsky.social · 11/06/2025🚀 Just released a new tool for the neuroscience and Topological Data Analysis communities! 🔗 github.com/gdisarra/top... The topology-degree repository provides code and methods to quantify the topology in high-dimensional data using persistent homology. 🔗 doi.org/10.1371/jour...github.comGitHub - gdisarra/topology-degree: Demo and tutorial for the computation of the topology degreeDemo and tutorial for the computation of the topology degree - gdisarra/topology-degree 052
Uzu Lim @uzulim.bsky.social · 30/06/2025@jeffgian.bsky.social Do you ever need to use spinors when doing Lattice QCD? To consider quarks, and not just gluons? 000
Uzu Lim @uzulim.bsky.social · 30/06/2025Xavier Crean, @jeffgian.bsky.social and Biagio Lucini worked on analysing the topological data arising from lattice gauge theory, like Lattice QCD. See : arxiv.org/abs/2501.19320 I think this is one of the super meaningful applications of TDA, because the data is intrinsically topological (SU(3)).arxiv.orgTopological Data Analysis of Abelian Magnetic Monopoles in Gauge TheoriesMotivated by recent literature on the possible existence of a second higher-temperature phase transition in Quantum Chromodynamics, we revisit the proposal that colour confinement is related to the dy... 110
Uzu Lim @uzulim.bsky.social · 30/06/2025If you apply the path integral approach to a discretised computer simulation of QCD, you get Lattice QCD. When doing Lattice QCD, I think you assign SU(3) elements to each edge of a 4D cubical grid. That now gives you ... some topological data. Tada..! 100
Uzu Lim @uzulim.bsky.social · 30/06/2025The QCD Lagrangian has a Dirac operator which makes quarks and gluons interact. With this Lagrangian, you can either write down scattering amplitudes or Feynman path integrals. My understanding is that the path integral approach still keeps the differential geometry intact. 110
Uzu Lim @uzulim.bsky.social · 30/06/2025I forgot what a spinor is.. a Spin group is a subset of a Clifford algebra. You need this stuff to define fermions, which are electrons and quarks (and other stuff like neutrino). To define quantum chromodynamics (QCD), you get the spin bundle and also a SU(3)-bundle and define a Lagrangian. 100
Uzu Lim @uzulim.bsky.social · 30/06/2025A connection 1-form is also called a gauge field. This formalises, for example, gluon fields. For a full formal account of the standard model, you still need a lot more abstract machinery. Next up is spinors. 100
Uzu Lim @uzulim.bsky.social · 30/06/2025A connection 1-form omega is a g-valued 1-form on P, satisfying some well-behavedness wrt G. Ehremsann connection and connection 1-form are equivalent notions, and the horizontal subspace specified in Ehresmann connection is exactly the kernel of the projection map specified by a connection 1-form. 100
Uzu Lim @uzulim.bsky.social · 30/06/2025An Ehresmann connection H is a sub-bundle of the tangent bundle of a principal G-bundle P->M (double bundle??) The rank of H is equal to the dimension of the base manifold M. H is chosen so that it's "horizontal" and well-behaved wrt G-action. 100
Uzu Lim @uzulim.bsky.social · 30/06/2025Learning gauge theory nowadays, another attempt to learn more mathematical physics 100
Reposted by Uzu LimJ. L. Westover @mrlovenstein.bsky.social · 11/05/2025happy mother's day 126302524062
Reposted by Uzu LimSlenderSherbet @slendersherbet.bsky.social · 03/05/2025"Excuse me, I'll tell you when you've finished" 914618612
Reposted by Uzu LimHeather Harrington @haharrington.bsky.social · 05/02/2025A computation that took us over 8 hours now only takes 15 seconds with tropical geometry! Very excited that Oskar Henriksson will join the algebra in data analysis (AIDA) group @mpicbg.bsky.social @tudresden.bsky.social 1193
Uzu Lim @uzulim.bsky.social · 02/05/2025My paper with Luis Scoccola and @haharrington.bsky.social were accepted to present in ICML 2025 🥳🥳 We use gradient descent to solve a fundamental problem in computational topology: Compute a topologically good cover of a dataset. It improves Mapper and persistent homology! arxiv.org/abs/2503.09767arxiv.orgCover Learning for Large-Scale Topology RepresentationClassical unsupervised learning methods like clustering and linear dimensionality reduction parametrize large-scale geometry when it is discrete or linear, while more modern methods from manifold lear... 0173
Uzu Lim @uzulim.bsky.social · 02/05/2025Hi, this is my new professional account :) I'm a mathematician working on geometry and topology of data. Recently I'm focused on Bobrowski-Skraba's universal statistical law of persistent homology, and also neuroscience applications - toroidal grid cell topology. 021
Uzu Lim @uzulim.bsky.social · 25/06/2024would u accept "shittification" also theres a math word called "sheafification" 110
Uzu Lim @uzulim.bsky.social · 23/06/2024더불어 저 본인도 upper middle class으로 세상을 다분히 비뚤어지게 봤는데, 여러 이유로 이제는 좌파로 정체화하게 됐어요. 더 정직하고 바르게 살 수 있게 됐어요. 000
Reposted by Uzu LimAnimal Aspects (Art History Animalia) @animal-aspects.bsky.social · 23/06/2024For #WorldCamelDay 🐪🐫: 4 figurines of Bactrian #Camels Yotkan, Xinjiang, China, 1st–6th c. CE Clay, H 7.6, 6.0, 3.8, 3.3 cm British Museum collection MAS.24, MAS.8, 1902,1220.375, MAS.25: www.britishmuseum.org/collection/o... 0195
Reposted by Uzu LimSteve Nellis @snellis.bsky.social · 23/06/2024🌱Lark Ascending. A stunning performance this season. Only more good things to come. 732534
Uzu Lim @uzulim.bsky.social · 22/06/2024reminds me of the "The Boring Side" that the ingredient lists get written as for the "hip" companies like Oatley and Aussie 010
Reposted by Uzu Lim이적행위🎗🏳️🌈🌹☂️🇵🇸 @yijuckhangwe.bsky.social · 22/06/2024나미비아 대법원이 동성애를 범죄화한 식민지 시대의 법률 두 개를 위헌이라고 결정했다. www.womennews.co.kr/news/article...womennews.co.kr나미비아 고등법원, 식민시대 제정된 동성애 금지법 "위헌"나미비아 대법원이 동성애를 범죄화한 식민지 시대의 법률 두 개를 위헌이라고 결정했다.21일(현지시각) 로이토통신에 따르면 나미비아 대법원은 영국 인권단체의 지원을 받은 시민사회단체 HDT(Human Dignity Trust) 활동가 프리데 다우사브가 제기한 헌법소원에서 위헌결정을 내렸 01122
Reposted by Uzu Lim이적행위🎗🏳️🌈🌹☂️🇵🇸 @yijuckhangwe.bsky.social · 21/06/2024어떤 차별은 공기처럼 존재한다. 어느새 소수자를 에워싼다. 소수자는 차별의 시선을 스스로 내면화하기에 이른다. 모욕에 가까운 차별을 당해도 피해망상은 아닐까 자기검열하는 식이다. 섣불리 부당하다고 말했다가는 혐오의 표적이 될 수도 있다. 결코 사소할 수 없는 소수자의 감정을 캐시 박 홍 UC버클리대 교수는 ‘마이너 필링스(minor feelings·소수적 감정)’라고 이름 붙였다. m.khan.co.kr/culture/cult...m.khan.co.kr“인간이 가끔 엉망일지라도···차별에 맞선 싸움은 계속된다” [플랫]어떤 차별은 공기처럼 존재한다. 어느새 소수자를 에워싼다. 소수자는 차별의 시선을 스스로 내면화하기에 이른다. 모욕에 가까운 차별을 당해도 피해망상은 아닐까 자기검열하는 식이... 02118
Reposted by Uzu Limlukelukeluke @lukelukeluke.bsky.social · 19/06/2024Here are some nice mushrooms 1132918
Uzu Lim @uzulim.bsky.social · 20/06/2024cake and baby cakes diply.com/139442/the-p...diply.comThe Piping Plover Is A Tiny Endangered Shorebird With The Cutest Babies EverThe teeny chicks leave the nest right away to toddle around on the sand. 020
Uzu Lim @uzulim.bsky.social · 20/06/2024AI generated sea slug :0 scubahanknyc.com/2023/09/13/a...scubahanknyc.comArtificial intelligence NudibranchVivid image of a nudibranch, drawing inspiration from the visuals found on my website. 020
Uzu Lim @uzulim.bsky.social · 20/06/2024just bug thoughts www.chesapeakebay.net/discover/fie...chesapeakebay.netPiping PloverPiping plover is a small, sand-colored bird that nests along the Atlantic Coast. 030