Hosting @shashanknd for a fireside chat this Thursday in Palo Alto. Shashank founded and scaled @Practo and is now building Cent, a preventive healthcare startup in India. I am very curious to dig into how medical imaging, genetic testing and biomarkers are changing longevity and what role AI plays in all of it. If you’re interested in longevity, healthcare or building in India, please join us. Thursday, October 15, 6pm Palo Alto Register here - luma.com/gr67jqy4

“My brain is only a receiver, in the Universe there is a core from which we obtain knowledge, strength and inspiration. I have not penetrated into the secrets of this core, but I know that it exists” - Nikola Tesla

What if, for any scientific claim, you can search 100M+ papers to find the strongest evidence for and against it ⚡️in 1 second? That’s now possible with Evidence API! 🚀 paperclip.gxl.ai/evidence-ap… For example, does drinking coffee reduce diabetes risk?

Lilly has a cool wall of fame for all of its molecules that honors the scientists who invented them.

a truth hidden in plain sight: every big tech and frontier lab is going to become a bio company - google: demis' alphafold & isomorphic - meta & microsft: esm & bioemu protein models - nvidia: bionemo software stack for biochemical models, joint lab with eli lilly - openai & anthropic: both making the rounds about breaking into bio, strong bio reasoning models, wet lab - elon's empire: likely crossover between neuralink and xai (eg controlling ai with ur mind) - apple & amazon: not as frontier, but consumer health devices, onemedical acquisition, pharmacy mastering the most complex machine created by nature/god (the human body) is the ultimate test of superintelligence

Suddenly, AI has solved 90 of the 500 most important open problems in mathematics Highest ranked problems: #2 Riemann Hypothesis — PARTIAL #4 Hodge Conjecture — PARTIAL #5 Birch and Swinnerton-Dyer Conjecture — PARTIAL #10 Extended Riemann hypothesis for Dedekind zeta functions — PARTIAL #12 Generalized Riemann Hypothesis for Dirichlet L-functions — PARTIAL #15 Tate Conjecture for Algebraic Cycles — PARTIAL #22 Hilbert's Tenth Problem over the Rationals — FULL CLAIM #24 Grothendiecks Generalized Hodge Conjecture — PARTIAL #28 Matrix-Multiplication Exponent Equals Two — PARTIAL #29 Unique Games Conjecture — FULL CLAIM #31 Anderson Model Extended States in Dimension at Least Three — FULL CLAIM #37 Prove the Penrose inequality or present a counterexample — FULL CLAIM #38 Higher-dimensional Euclidean Kakeya conjecture — PARTIAL #39 Modularity of Elliptic Curves over Number Fields (End_K(E)=Z) — PARTIAL #40 Hilbert's Sixteenth Problem, Second Part — PARTIAL #46 Fourier restriction conjecture — PARTIAL #47 The Fontaine-Mazur Conjecture on Geometric Galois Representations — PARTIAL #48 Nonexistence of Landau–Siegel zeros for quadratic Dirichlet L-functions — FULL CLAIM #52 The Baum-Connes Conjecture for the K-Theory of Reduced Group C*-Algebras — FULL CLAIM #62 Permanent versus Determinant over C — PARTIAL #69 Finiteness of the Tate-Shafarevich Group for Elliptic Curves — PARTIAL #72 Termination of Flips Conjecture in the Minimal Model Program — PARTIAL #77 Chowla conjecture on correlations of the Liouville function — PARTIAL #78 Abundance Conjecture for the minimal model program — FULL CLAIM #80 Hadwiger Conjecture — FULL CLAIM #83 Zilber-Pink Conjecture on Unlikely Intersections — PARTIAL #87 Bose-Einstein Condensation in Interacting Continuous Bose Gases — FULL CLAIM #92 Entanglement Area Law for 2D Gapped Quantum Systems — FULL CLAIM #94 Grothendieck Standard Conjecture of Hodge Type — PARTIAL #95 Kannan-Lovasz-Simonovits conjecture on isoperimetry of log-concave measures — PARTIAL #99 Grothendiecks Section Conjecture in Anabelian Geometry — PARTIAL #112 The Haldane Conjecture on Spectral Gaps of Antiferromagnetic Quantum Spin Chains — PARTIAL #114 Iitaka conjecture C_{n,m} on subadditivity of Kodaira dimension — FULL CLAIM #119 The Borel Conjecture on Topological Rigidity of Aspherical Manifolds — FULL CLAIM #124 Aspherical Manifolds Admit No Metric of Positive Scalar Curvature — FULL CLAIM #130 Polynomial Bound for Limit Cycles of Planar Polynomial Vector Fields — PARTIAL #136 Erdős problem 3: divergent harmonic series and long arithmetic progressions — FULL CLAIM #139 Cannon's conjecture — FULL CLAIM #145 Residual Finiteness of Hyperbolic Groups — FULL CLAIM #153 Congruent Number Problem — PARTIAL #161 BPL = L (Derandomizing Bounded-Error Logspace) — FULL CLAIM #163 NP versus the Existential Theory of the Reals — PARTIAL #169 The Free Group Factor Isomorphism Problem — FULL CLAIM #172 Conformal Invariance of the Critical Random-Cluster Model with q <= 4 — FULL CLAIM #179 Arnold Conjecture on Hamiltonian Fixed Points — FULL CLAIM #181 Polyakov Conjecture: Absence of a Phase Transition for Planar O(n) Models with n >= 3 — FULL CLAIM #183 Smooth anisotropic Calderón uniqueness from full boundary data — FULL CLAIM #193 Nonvanishing conjecture for projective log canonical pairs — FULL CLAIM #195 Parity conjecture for elliptic curves — PARTIAL #198 Long-Range Order in the Quantum Heisenberg Ferromagnet — FULL CLAIM #203 Bochner-Riesz conjecture — PARTIAL #205 Local Smoothing Conjecture for Wave Equations — PARTIAL #206 Kaplansky's Zero-Divisor Conjecture for Torsion-Free Groups — FULL CLAIM #210 Artin's primitive root conjecture — PARTIAL #211 Hilbert-Smith Conjecture — FULL CLAIM #213 Falconer distance set conjecture — FULL CLAIM #222 Virasoro Conjecture for Gromov–Witten Invariants — PARTIAL #224 Wall's Poincare Duality Group Conjecture — FULL CLAIM #225 K(pi,1) conjecture for Artin groups — FULL CLAIM #234 Unconditional 2−epsilon Inapproximability of Minimum Vertex Cover — FULL CLAIM #235 Chromatic Number of the Plane (Hadwiger--Nelson Problem) — PARTIAL #237 Global Existence of Classical Solutions to the Relativistic Vlasov-Maxwell System — PARTIAL #239 Universal Optimality of the Hexagonal Lattice in Dimension Two — FULL CLAIM #246 De Giorgi Conjecture for the Allen-Cahn Equation in Dimensions 4 to 8 — FULL CLAIM #254 Exact satisfiability threshold for random k-SAT for small k (k = 3) — PARTIAL #256 Polynomial-Time Decidability of Semidefinite Programming Feasibility — PARTIAL #260 RL versus L — FULL CLAIM #261 Kadison Similarity Problem for C*-Algebras — FULL CLAIM #267 Sidorenko Conjecture on Bipartite Homomorphism Densities — FULL CLAIM #268 Shafarevich Holomorphic-Convexity Conjecture — FULL CLAIM #270 Kuznetsov Rationality Conjecture for Cubic Fourfolds — FULL CLAIM #271 All groups are good: the four-dimensional disc-embedding conjecture — FULL CLAIM #278 Planar homogeneous Mumford–Shah local-structure conjecture — PARTIAL #284 Nearby Lagrangian Conjecture — FULL CLAIM #285 Cartan-Hadamard isoperimetric conjecture — FULL CLAIM #289 Sharp Upper Bound in Yau's Conjecture on Nodal Sets of Laplace Eigenfunctions — FULL CLAIM #290 Kaplansky's Idempotent Conjecture — FULL CLAIM #291 Calderón uniqueness for bounded measurable real isotropic conductivities — FULL CLAIM #292 Global Attractor Conjecture for Complex-Balanced Mass-Action Systems — FULL CLAIM #295 Zariski Multiplicity Conjecture for Hypersurface Singularities — FULL CLAIM #297 Amenability of Thompson's Group F — FULL CLAIM #298 Griffiths Positivity Conjecture for Ample Vector Bundles — FULL CLAIM #300 The Singer Conjecture on Vanishing of L2-Cohomology of Aspherical Manifolds — PARTIAL #305 Birkhoff Conjecture (Near-Boundary Continuous Invariant Foliation) — FULL CLAIM #306 Secret key from all entangled states — FULL CLAIM #311 Mahler Conjecture on the Volume Product of a Convex Body — FULL CLAIM #321 Finiteness of Finitely Presented Periodic Groups — FULL CLAIM #328 Sinai's Positive Metric Entropy Conjecture for the Chirikov Standard Map — FULL CLAIM #334 Unrestricted Linear-Circuit Lower Bound for the Discrete Fourier Transform — FULL CLAIM #343 Koebe circle-domain uniformization conjecture — FULL CLAIM #351 Kobayashi Conjecture: Hyperbolic Compact Kähler Manifolds Have Ample Canonical Bundle — FULL CLAIM #356 Bott Conjecture: nonnegatively curved simply connected manifolds are rationally elliptic — PARTIAL #357 Strong Hyperplane Conjecture for Isotropic Constants — FULL CLAIM #358 CAT(0) Models for All Word-Hyperbolic Groups — FULL CLAIM #359 Hopf Conjecture: no metric of positive sectional curvature on S^2 x S^2 — PARTIAL #361 Alperins Weight Conjecture for Modular Representations of Finite Groups — FULL CLAIM #364 Log-Brunn-Minkowski Inequality for Symmetric Convex Bodies — FULL CLAIM #366 Hyperkähler SYZ (Lagrangian Fibration) Conjecture — FULL CLAIM #368 Benjamini-Schramm conjecture p_c#369 Dixmier unitarisability problem for discrete groups — FULL CLAIM #374 Fujita Freeness Conjecture — FULL CLAIM #375 Nagata Conjecture on Plane Curve Linear Systems — FULL CLAIM #378 Toms–Winter: Strict Comparison Implies Z-Stability — FULL CLAIM #379 Margulis–Platonov normal-subgroup conjecture — FULL CLAIM #388 Shelah's Categoricity Conjecture for L_omega1,omega — PARTIAL #392 Measure-zero singular set of stationary integral varifolds — FULL CLAIM #401 Serres Positivity Conjecture for Intersection Multiplicities over Regular Local Rings — FULL CLAIM #403 Rokhlin problem on multiple mixing — FULL CLAIM #419 Lück's Determinant Conjecture for Discrete Groups — FULL CLAIM #420 Absolute continuity of Bernoulli convolutions outside reciprocal Pisot parameters — FULL CLAIM #421 GNRS Conjecture — PARTIAL #424 Irrationality of Catalan's Constant — FULL CLAIM #425 Separable Quotient Problem for Banach Spaces — FULL CLAIM #430 Long-Time Existence of the Calabi Flow on Compact Kaehler Manifolds — FULL CLAIM #432 Combinatorial Invariance of Kazhdan-Lusztig Polynomials — FULL CLAIM #434 Realizable Limit Shapes in Two-Dimensional First-Passage Percolation — PARTIAL #438 Zariski Cancellation Problem (characteristic zero, dimension ≥ 3) — FULL CLAIM #440 Stein's Conjecture on the Hilbert Transform along Lipschitz Vector Fields — FULL CLAIM #448 Smooth Realization of Finite-Entropy Ergodic Transformations — FULL CLAIM #450 Deligne–Drinfeld Freeness Conjecture for grt_1 — FULL CLAIM #453 Shub entropy conjecture — FULL CLAIM #456 Maximal Number of Mutually Unbiased Bases in Composite Dimensions — PARTIAL #458 LeBrun-Salamon Conjecture: positive quaternion-Kahler manifolds are symmetric spaces — FULL CLAIM #461 Kaplansky's Direct Finiteness Conjecture — FULL CLAIM #465 David–Semmes Riesz-transform problem in intermediate dimensions — FULL CLAIM #467 Small Cohen-Macaulay Conjecture — FULL CLAIM #468 Ergodicity of Irrational Triangular Billiards — FULL CLAIM #472 CAT(0) Conjecture for All Artin Groups — FULL CLAIM #475 Katok entropy rigidity conjecture — FULL CLAIM #476 Polynomial-Time Solvability of Condon's Simple Stochastic Games — PARTIAL #480 Furstenberg No-Bigeodesics (Planar FPP, Standard Minimum Moment) — FULL CLAIM #483 Gaboriau's Fixed Price Problem for Countable Groups — FULL CLAIM #484 Persistence Conjecture for Weakly Reversible Mass-Action Systems — FULL CLAIM #486 Campana-Peternell Conjecture — PARTIAL #497 Maximum Number of k-sets and Complexity of k-levels — PARTIAL

In 1992 Peter Ratcliffe received this rejection from Nature. Almost 30 years later he won the Nobel Prize for the same discovery. Don't lose faith in the things you believe in.

For decades, researchers have sought materials that sort electrons by spin while their magnetism cancels. In 3 days, 90+ Opus 5.5 agents helped us uncover two room-temperature magnetic semiconductor candidates in simulations: YBaMnFeO₅ and KV[Cr(CN)₆]. KV[Cr(CN)₆] was synthesized back in 1999. Its predicted ability to sort electrons by spin appears to have been hiding in plain sight for 27 years.

The scale of the Universe.

Banks in India make about $20 billion a year -- half of their profits -- by paying customers ~2.5% (vs the repo rate of 5.25%) on the money in their savings accounts (~$800 billion).

Living simply is linked to greater happiness. A review of 259 groups of people found that the more someone cares about money and possessions, the lower their well-being, and the worst effects show up in how people see themselves and in risky behavior. Helga Dittmar and colleagues at the University of Sussex combined 753 results from studies around the world. Their review was published in the Journal of Personality and Social Psychology in 2014. People who see possessions as a sign of success and a path to happiness showed the strongest link to lower well-being, and people who simply care about money showed a weaker one. Risky health habits, compulsive shopping, and feeling bad about yourself had the biggest links. Life satisfaction and bad moods showed smaller links that still held. Jobs and schools that reward materialistic values made the link stronger, and it also shifted with a country's economic growth and the gap between rich and poor. Unmet basic needs were the best explanation for the pattern: feeling capable, feeling free to make your own choices, and feeling close to others. A life built around stuff may crowd those out. Most of the studies took one snapshot in time, so the direction isn't proven, and the effects were modest. Across 259 groups, the people doing best were the ones who felt capable, free, and close to other people. pubmed.ncbi.nlm.nih.gov/2534…