Graduate Mathematics

Graduate Mathematics

@graduatemathematics

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Yitang Zhang and The Landau-Siegel Zero Problem in Number Theory [2019] (in Chi…
YouTubeNov 5, 2022
Peter Sarnak, Summation formulae in spectral theory and number theory [2021]
YouTubeFeb 8, 2021
Alex Kontorovich - Numbers and Fractals [2017]
YouTubeMay 9, 2020
Tangles, Bangles and Knots with John Conway [2012]
YouTubeApr 30, 2020
Fractran: A Ridiculous Logical Language with John Conway [2012]
YouTubeApr 30, 2020
Peter Scholze (Universität Bonn) - Condensed Mathematics (2019)
YouTubeOct 7, 2019
Thin groups as monodromy groups, Part II - Jordan Ellenberg (University of Wisc…
YouTubeMay 27, 2019
Thin groups as monodromy groups, Part I - Jordan Ellenberg (University of Wisco…
YouTubeMay 27, 2019
Apollonian circle packings via spectral methods - Hee Oh (Yale University)
YouTubeMay 24, 2019
Finding L-Functions out of Nothing - David Farmer [2011]
YouTubeMay 15, 2019
Scott Aaronson - Complexity and computability with closed timelike curves [2018]
YouTubeMay 13, 2019
Sasaki geometry and positive curvature - Song Sun [2012]
YouTubeMay 10, 2019
The Hilbert--Einstein functional and the Sasaki-Futaki invariant - Eveline Lege…
YouTubeMay 8, 2019
Compactness of conformally compact Einstein manifolds in dimension 4 - Sun-Yung…
YouTubeMay 6, 2019
Alex Kontorovich - On the Strong Density Conjecture for Apollonian Circle Packi…
YouTubeMay 3, 2019
Henri Cohen - Introduction to asymptotics of number fields... [2011]
YouTubeMay 1, 2019
A simple model of quantum holography (part 2) - Alexei Kitaev, Caltech & KITP […
YouTubeApr 29, 2019
A simple model of quantum holography (part 1) - Alexei Kitaev, Caltech & KITP […
YouTubeApr 29, 2019
K3 surfaces and elliptic fibrations in number theory - Noam D. Elkies, Harvard …
YouTubeApr 23, 2019
Jacob Lurie: 5/5 Tamagawa numbers in the function field case [2019]
YouTubeMar 8, 2019
Jacob Lurie: 4/5 Tamagawa numbers in the function field case [2019]
YouTubeMar 8, 2019
Jacob Lurie: 3/5 Tamagawa numbers in the function field case [2019]
YouTubeMar 8, 2019
Jacob Lurie: 2/5 Tamagawa numbers in the function field case [2019]
YouTubeMar 8, 2019
Jacob Lurie: 1/5 Tamagawa numbers in the function field case [2019]
YouTubeMar 8, 2019
Selmer groups and ranks II - Karl Rubin [2011]
YouTubeFeb 28, 2019
Orthogonal Ensembles and Central Values of L functions - Brian Conrey [2011]
YouTubeFeb 26, 2019
Akshay Venkatesh - (Derived) moduli of local systems in number theory [2019]
YouTubeFeb 26, 2019
János Kollár (Princeton): Celestial surfaces and quadratic forms [2018]
YouTubeFeb 21, 2019
The Role of Mathematics in Philosophy | 2012
YouTubeFeb 19, 2019
Bjorn Poonen - Cohomological Obstructions to Rational Points [2008]
YouTubeFeb 14, 2019
Read (27)
Beyond the Black Box: Finding the Universal Measure in Noncommutative Geometry
Science
Beyond the Black Box: Finding the Universal Measure in Noncommutative Geometry

We spend so much time integrating with proprietary APIs that we forget the foundational math. Dive into Connes' work and see how true technical sovereignty demands understanding the universal formulas beneath the surface.

Graduate Mathematics
Graduate Mathematics
Rogue Geeks
4 min
0 0 0about 1 month ago
From Ancestry to Autonomous Stacks: Building Your Digital Lineage
Stories
From Ancestry to Autonomous Stacks: Building Your Digital Lineage

Ken Moody's deep dive into family history reminds us that true power always lies in knowing your provenance—whether it's a bloodline or a self-hosted network stack.

Graduate Mathematics
Graduate Mathematics
Rogue Geeks
5 min
0 0 0about 1 month ago
Making Complex Counts Simple: Unlocking Moments with Bivariate Generating Functions
Techniques
Making Complex Counts Simple: Unlocking Moments with Bivariate Generating Functions

Ready to take your combinatorics skills to the next level? We're exploring how advanced generating functions allow us to calculate complex statistical moments with surprising ease.

Graduate Mathematics
Graduate Mathematics
Rogue Math
3 min
0 0 0about 1 month ago
From Global Fields to Local Nodes: The Math of Decentralization
Science
From Global Fields to Local Nodes: The Math of Decentralization

Connes’ work shows how massive, global truths can be derived by analyzing local, independent components—a core principle for decentralized tech architecture.

Graduate Mathematics
Graduate Mathematics
Rogue Geeks
3 min
0 0 0about 1 month ago
When the Math Gets Deep: Deconstructing Prime Gaps with the Large Sieve
Science
When the Math Gets Deep: Deconstructing Prime Gaps with the Large Sieve

Before you worry about your latest LLM fine-tune, let's look at the foundational math that keeps cryptography and digital structure sound.

Graduate Mathematics
Graduate Mathematics
Rogue Geeks
4 min
0 0 0about 1 month ago
From Hexagons to Theorems: When Counting Paths Becomes Art
Science
From Hexagons to Theorems: When Counting Paths Becomes Art

Dive deep into the beautiful world of enumerative combinatorics, where counting complex patterns reveals fundamental connections between determinants and physical tilings.

Graduate Mathematics
Graduate Mathematics
Rogue Math
4 min
0 0 0about 1 month ago
The Bridge Between Proof and Practice: Understanding the Spectrum of Mathematics
Science
The Bridge Between Proof and Practice: Understanding the Spectrum of Mathematics

Is math a single, straight line, or a vast landscape? We dive into the historical conversation about pure versus applied mathematics and how to master both.

Graduate Mathematics
Graduate Mathematics
Rogue Math
4 min
0 0 0about 1 month ago
Convergence and Chaos: Why Local AI Is the Optimal Regularity Solution
Science
Convergence and Chaos: Why Local AI Is the Optimal Regularity Solution

Deep dive into the mathematics of system equilibrium, showing how complex, non-linear flows naturally converge—a concept essential for building truly sovereign tech stacks.

Graduate Mathematics
Graduate Mathematics
Rogue Geeks
3 min
0 0 0about 1 month ago
From Pythagoras to Proof: The Enduring Mystery of Perfect and Amicable Numbers
Science
From Pythagoras to Proof: The Enduring Mystery of Perfect and Amicable Numbers

Dive into the history and deep complexity of numbers that fascinated the ancients, exploring why perfect and amicable numbers remain one of mathematics' greatest unsolved puzzles.

Graduate Mathematics
Graduate Mathematics
Rogue Math
4 min
0 0 0about 2 months ago
When the Error Term Matters: Math, Primes, and Digital Sovereignty
Science
When the Error Term Matters: Math, Primes, and Digital Sovereignty

The Bombieri-Vinogradov theorem shows how hard it is to predict fundamental distributions. In the digital world, understanding the 'error term' is the key to building truly sovereign infrastructure.

Graduate Mathematics
Graduate Mathematics
Rogue Geeks
4 min
0 0 0about 2 months ago
Building the Math of Sovereignty: Defining Systems from Local Rules
Science
Building the Math of Sovereignty: Defining Systems from Local Rules

Kollár dives into celestial surfaces, showing how complex global structures can be understood by examining their local, algebraic generators—a principle vital for sovereign tech architecture.

Graduate Mathematics
Graduate Mathematics
Rogue Geeks
4 min
0 0 0about 2 months ago
When Pure Math Meets Sovereign Infrastructure: The Langlands Program Analogy
Science
When Pure Math Meets Sovereign Infrastructure: The Langlands Program Analogy

We dive into the abstract world of Galois groups and automorphic forms, finding parallels in building truly sovereign, decentralized tech stacks.

Graduate Mathematics
Graduate Mathematics
Rogue Geeks
3 min
0 0 0about 2 months ago
When Math Gets Sovereign: Apollonian Packings and the Quest for Digital Density
Science
When Math Gets Sovereign: Apollonian Packings and the Quest for Digital Density

Exploring the deep structure of Apollonian circle packings provides a perfect analogy for building truly sovereign, open-source tech stacks.

Graduate Mathematics
Graduate Mathematics
Rogue Geeks
4 min
0 0 0about 2 months ago
Beyond the Stack Trace: The Deep Theory of Sovereignty and Math
Science
Beyond the Stack Trace: The Deep Theory of Sovereignty and Math

From Poincaré conjectures to container orchestration, true mastery requires understanding the foundational geometry of systems, not just the surface APIs.

Graduate Mathematics
Graduate Mathematics
Rogue Geeks
4 min
0 0 0about 2 months ago
The Open-Source Stack of the Mind: Building Knowledge from the Ground Up
Stories
The Open-Source Stack of the Mind: Building Knowledge from the Ground Up

True expertise isn't licensed; it's built. We look at the story of self-taught genius to remind us that the best systems—whether OS or intellect—start with foundational principles.

Graduate Mathematics
Graduate Mathematics
Rogue Geeks
4 min
0 0 0about 2 months ago
When Math Meets Sovereignty: The Langlands Program and the Quest for Universal Protocols
Science
When Math Meets Sovereignty: The Langlands Program and the Quest for Universal Protocols

Exploring the profound idea of mathematical correspondence—a concept that echoes the self-hosted pushback against proprietary APIs and Big Tech monoliths.

Graduate Mathematics
Graduate Mathematics
Rogue Geeks
4 min
0 0 0about 2 months ago
Beyond the API Schema: Understanding the Geometry of a System
Science
Beyond the API Schema: Understanding the Geometry of a System

The lecture explores how a single mathematical object can be viewed through multiple, seemingly different geometric structures, a concept that applies directly to modern system architecture.

Graduate Mathematics
Graduate Mathematics
Rogue Geeks
4 min
0 0 0about 2 months ago
Finding the Foundation: When Current Models Fail, You Build the Next Layer
Science
Finding the Foundation: When Current Models Fail, You Build the Next Layer

Edward Witten discusses the quest for Quantum Gravity—the fundamental theory unifying space-time and quantum mechanics—a quest that mirrors the struggle to build truly sovereign tech stacks.

Graduate Mathematics
Graduate Mathematics
Rogue Geeks
4 min
0 0 0about 2 months ago
Beyond the Black Box: Finding the Universal API of Mathematics (Langlands Theory)
Science
Beyond the Black Box: Finding the Universal API of Mathematics (Langlands Theory)

The Langlands Program seeks a grand unifying theory for mathematics. For us, it's a reminder that understanding fundamental, underlying structures is the ultimate goal of sovereignty.

Graduate Mathematics
Graduate Mathematics
Rogue Geeks
4 min
0 0 0about 2 months ago
Building the Axioms: Thinking in Groups and Canonical Forms (Langlands & Galois Theory)
Science
Building the Axioms: Thinking in Groups and Canonical Forms (Langlands & Galois Theory)

Even when the subject is abstract mathematics, the principles of defining generators, structures, and canonical forms are the same principles that secure your homelab and build your next great service.

Graduate Mathematics
Graduate Mathematics
Rogue Geeks
4 min
0 0 0about 2 months ago
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