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dexter chua dexter chua about me i was a phd student at harvard between 2018 and 2022 previously i did my undergraduate and part iii at cambridge 2014 2018 contact me you can email me at dec41 srcf net adams spectral sequence for t m f tmf t m f i have documented the calculation of the adams spectral sequence of t m f tmf t m f at the prime 2 2 2 here warning this downloads a 12mb file behind the scenes this calculation was made with computer assistance there is an online version of the software and the source can be found on github see the readme on github for technical details the software computes the e 2 e_2 e 2 page and products and propagates differentials via the leibniz rule the program is capable of resolving an arbitrary finite dimensional or finitely generated steenrod module and assisting the computation of the associated adams spectral sequence it is also designed with the intention to be able to aid other spectral sequence calculations as long as the modules are over f p mathbb f _p f p but no such applications have been coded at the moment it was initially developed by hood chatham and i later joined the development the save file for the calculation can be found here which can be imported into the resolver to reproduce the calculation however doing it on the online version above is unwise steenrod operations using an algorithm of christian nassau i calculated some steenrod operations in ext of the steenrod algebra and a 2 a 2 a 2 the results are documented here and they go beyond what is in bruner s tables expository writings some miscellaneous expository writings the word expository refers to the lack of originality as opposed to any claim of comprehensibility or correctness clicking the title below will lead to a web version of the note which is an experimental feature let me know if anything seems broken click pdf for a downloadable pdf version construction of synthetic spectra pdf adams spectral sequence of t m f r p mathrm tmf wedge mathbb rp infty tmf rp pdf borwein borwein integrals and sums pdf homology of the 𝔼 d operad pdf complex oriented cohomology theories pdf chern weil forms and abstract homotopy theory pdf introduction to motivic homotopy theory pdf the barratt priddy quillen segal theorem pdf goodwillie filtration and factorization homology pdf bott periodicity pdf the heat kernel pdf this is my minor thesis geometric topology pdf this is my part iii essay construction of v 1 and v 2 self maps pdf ring structures on s p pdf global analysis hodge decomposition theorem pdf clifford algebra and bott periodicity pdf the étale fundamental group pdf the lemniscate sine pdf period 3 orbits pdf cambridge course notes when i was in cambridge i typed up my lecture notes for the courses i attended they can be found here computer drawings as a means of procrastination learning how to use html5 canvas i produced the following drawings simulations brownian motion conformal maps grid paper i wrote a web page that produces grid papers the source code is available on github feature requests are welcome pdf cropping i also wrote a web page that helps you crop pdfs with a specified aspect ratio feature requests and bug reports are welcome miscellaneous some adem relations some latex tricks some formulas about bp other involvements i co organized the bott periodicity seminar during spring 2019 i have been on the committee of the cambridge student societies the archimedeans cups the srcf and the rcsa i am also a sysadmin of the srcf privacy statement i have a privacy statement as required by law maybe back to home