Tootfinder

Evaluation of Modular Polynomials from Supersingular Elliptic Curves
Maria Corte-Real Santos, Jonathan Komada Eriksen, Antonin Leroux, Michael Meyer, Lorenz Panny
https://arxiv.org/abs/2506.15429

Evaluation of Modular Polynomials from Supersingular Elliptic Curves
We present several new algorithms to evaluate modular polynomials of level $\ell$ modulo a prime $p$ on an input $j$. More precisely, we introduce two new generic algorithms, sharing the following similarities: they are based on a CRT approach; they make use of supersingular curves and the Deuring correspondence; and, their memory requirements are optimal. The first algorithm combines the ideas behind a hybrid algorithm of Sutherland in 2013 with a recent algorithm to compute modular polyno…

I read "Then I Am Myself the World: What Consciousness Is and How to Expand It" by Christof Koch.
Interesting book which spends like 8 or 9 chapters detailing all the experiments which prove beyond much doubt that consciousness, and self awareness, is a thing done by a brain.
It describes how perception is a construction of a description, has a chapter called "computational mind"
And then spends the last two chapters describing why he thinks the mind can't be computed, because drugs have made him think experience is some kind of magic associated with highly interconnected causal structures.
Apparently, he thinks, once things become interconnected enough they become able to cause things independently of the physics running those connections.
Which is crazy, obviously. There's nothing causal in direct connections between neurons that isn't equally causal in modeled connections between virtual neurons.
All his evidence in the book from neural MRI scans to the effects of psychedelic drugs and symptoms of strokes and disease point to the brain simulating a virtual reality which is the basis of perception.
That simulated world in which we live is full of colour and shape and sounds and emotions and millions of mental constructs that are built to be correlated by the senses with the outside world, but are not equal to the world itself. We live in a dream constructed to correlate with reality.
But then instead of taking the next step: That consciousness itself is a property of a simulated being inside that mental model of the universe, a property which the brain simulates and applies to the virtual self that's doing the experiencing inside that model, he jumps towards some magic implying pan-psychism or that sufficiently interconnected networks become causally self-complete for some reason nobody can fathom.
Sure, colour and shape and emotions are all made up by the brain but experience can't be! For some reason.
You see in truth dualism is false, in that there is no spirit realm in which ghosts animate the matter of the body somehow.
Yet also, dualism is true, in that there is a simulated mental reality which we live in, computed by the brain in which all perception and experience are created, which is related-to but separate-from the unfolding complicated dance of energy that is the universe our bodies interact with.
People take some DMT trip, and the model of the universe emulated by their brain collapses and breaks. Their virtual simulated self inside their mind has these experiences of being one with the universe or the experience of feeling dead yet conscious or whatever, and these hippies think that the broken down simulated experience is real and reflects how consciousness is more fundamental than the atoms that make up the neurons in their brain.
Instead of realizing it shows them that their experienced universe is a simulacrum, they think they get a more direct experience of reality somehow. A consciousness more pure than any mere base atom.
"Then I am myself the world" is a great title. Everything you ever experience is created and simulated in your brain like a dream, the whole universe is inside your head. Even the fact of experience itself.
But that isn't the conclusion Koch reaches somehow, he just jumps from describing the evidence that this is so straight into ascribing super-causal magic consciousness to particular arrangements of atoms that integrated information theory suggest have high correlation, and thinks therefore conciousness is itself the entire universe.
Ah well, fun book. I like arguing in my head with authors that are wrong.
#reading #books #consciousness #thenIAmMyselfTheWorld

Way back in 2022, as the world tried to readjust back to "normal" following COVID - I helped to co-organise a bootcamp with sponsorhop from the @… IASC, @… and a generous dollop of help from @… and @… colleagues.
We gathered 10 senior scientist mentors and 22 students in an old torpedo research station (now used by Roskilde University) for 10 days. It was an extremely intense period but the 4th paper produced by this talented group has just come out.
I consider facilitating #EarlyCareerScientists to work on important science problems an extremely rewarding part of my job, and I'm looking forward to the next one already as part of our PISCO project.
In the mean time, go and read this extremely cool work, collecting together a huge number of radiosonde observations going back to the 1950s over the Arctic Ocean and using them to assess how well CMIP6 models represent lower atmosphere.
#CMIP6 #ClimateModels #Arctic #ArcticClimate #SeaIce
https://agupubs.onlinelibrary.wiley.com/doi/10.1029/2024JD041412

Population Synthesis Study on the Binary Origin of Type Ibn Supernovae
Takatoshi Ko, Tomoya Kinugawa, Daichi Tsuna, Ryosuke Hirai, Yuki Takei
https://arxiv.org/abs/2506.00931

Population Synthesis Study on the Binary Origin of Type Ibn Supernovae
Type Ibn supernovae (SNe) are a class of SN explosions whose progenitors are surrounded by dense helium-rich circumstellar matter (CSM). Some models have been proposed for how to form the dense CSM, with promising scenarios involving either binaries with a low-mass ($\lesssim 3~M_\odot$) helium (He) star, or mergers following common envelope phases between a He star and a compact object. Using rapid binary population synthesis calculations, we estimate the event rate of these channels and compa…

Propylenidene: A New Carbon Two-dimensional Material Featuring Tilted Dirac Cones
Jose A. S. Laranjeira, K. A. L. Lima, Nicolas F. Martins, Luis A. Cabral, L. A. Ribeiro Junior, Julio R. Sambrano
https://arxiv.org/abs/2506.03494

Propylenidene: A New Carbon Two-dimensional Material Featuring Tilted Dirac Cones
Two-dimensional (2D) carbon allotropes have drawn significant interest owing to their impressive physical and chemical characteristics. Following graphene's isolation, a wide range of 2D carbon materials has been suggested, each with distinct electronic, mechanical, and optical traits. Rational design and synthesis of new 2D carbon structures hinge on experimentally reported precursors. Here, we present a 2D carbon allotrope, propylenidene (PPD), originating from the highly strained bicycloprop…