My long form writing about tech, math, startups and other things.
My notes from Lisa Piccirillo's lecture on exotic 4-manifolds — where a space can be homeomorphic but not diffeomorphic, the smooth Poincaré conjecture is still open, and the smallest manifolds turn out to be the hard ones.
Notes from working through Ratcliffe alongside Silverman and Diamond–Shurman. What hyperbolic geometry actually is, why the metric $$ds^2 = (dx^2 + dy^2)/y^2$$ is essentially the entire theory, and how $$PSL_2(\mathbb{R})$$ ends up running everything.
I read Knuth’s paper in detail. Following is what I understood.
Ending this year with a small reflection on my advance math journey so far…
Not affiliated with any company or my current employer.
I first heard about Fermat’s Last Theorem(FLT) in college when I was a math undergrad. For some reason, I have been fascinated by intellectual “beauty”. Something which is beautiful hence it exists. I have tried to pursue Art like I learnt painting for a few years or Learnt violin for a decade. Yet I couldn’t fully enjoy it as a practioner I love going to galleries and listening to music though. I…
Bruce Wayne is a mess. Batman is a system.
I have been interested in both mathematics and computer programming since early years of my life. I have met several people who pursue math and/or write code daily.
Note - This is from my perspective and learnings as a founding engineer. This is my personal take on how to build tech teams for the future. Not affiliated with any company or my current employer.
Taper: Building a Neural Network Library in Rust