Alvaro Lozano-Robledo

@UCsl3cpHnDaFTYnV66g8MB0A - 17.2K subscribers

Professor of Mathematics, number theorist (arithmetic geometry), author, Hagoromo ambassador. Views expressed are my own.

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Welcome to my channel! About me

Welcome to my channel! About me Alvaro Lozano-Robledo

669 views - 1 week ago

Infinite Series: The Direct Comparison Test

Infinite Series: The Direct Comparison Test Alvaro Lozano-Robledo

278 views - 2 weeks ago

Is 73 a sum of two rational cubes?

Is 73 a sum of two rational cubes? Alvaro Lozano-Robledo

1.2K views - 3 weeks ago

A Proof of Sylvester's Conjecture (and MORE!) by Fan and Wan

A Proof of Sylvester's Conjecture (and MORE!) by Fan and Wan Alvaro Lozano-Robledo

2.7K views - 3 weeks ago

A Formalizable Approach to Classifying Vector Bundles - Kiran Kedlaya (UC San Diego)

A Formalizable Approach to Classifying Vector Bundles - Kiran Kedlaya (UC San Diego) Alvaro Lozano-Robledo

1.2K views - 1 month ago

Completely Decomposable Jacobian Varieties - Jennifer Paulhus (Mount Holyoke College)

Completely Decomposable Jacobian Varieties - Jennifer Paulhus (Mount Holyoke College) Alvaro Lozano-Robledo

142 views - 1 month ago

Counting Primitive Solutions to Fermat Equations - Santiago Arango-Piñeros (UMass Amherst)

Counting Primitive Solutions to Fermat Equations - Santiago Arango-Piñeros (UMass Amherst) Alvaro Lozano-Robledo

176 views - 1 month ago

Applications of Cutting Asymptotically Good Towers of Number Fields - Ravi Ramakrishna (Cornell)

Applications of Cutting Asymptotically Good Towers of Number Fields - Ravi Ramakrishna (Cornell) Alvaro Lozano-Robledo

1.1K views - 1 month ago

Arithmetic of Differential Equations - Daniel Litt (University of Toronto)

Arithmetic of Differential Equations - Daniel Litt (University of Toronto) Alvaro Lozano-Robledo

2.9K views - 1 month ago

Stacky Curves and the Local-to-Global Principle - Juanita Duque-Rosero (Boston University)

Stacky Curves and the Local-to-Global Principle - Juanita Duque-Rosero (Boston University) Alvaro Lozano-Robledo

485 views - 1 month ago

News in Math and AI: Results of "First Proof" v2.0 are out!

News in Math and AI: Results of "First Proof" v2.0 are out! Alvaro Lozano-Robledo

2.2K views - 1 month ago

Explicit R=T via Rank Bounds - Catherine Hsu (Swarthmore College)

Explicit R=T via Rank Bounds - Catherine Hsu (Swarthmore College) Alvaro Lozano-Robledo

110 views - 1 month ago

Minimal Lifts in the Badly Dihedral Case - Patrick Allen (McGill University)

Minimal Lifts in the Badly Dihedral Case - Patrick Allen (McGill University) Alvaro Lozano-Robledo

122 views - 1 month ago

Arithmetic Dynamics (or How to Invent a New Field) - Joseph Silverman (Brown University)

Arithmetic Dynamics (or How to Invent a New Field) - Joseph Silverman (Brown University) Alvaro Lozano-Robledo

4.5K views - 1 month ago

Elliptic Curves, Torsion Points, and Galois Representations - Tyler Genao (Ohio State)

Elliptic Curves, Torsion Points, and Galois Representations - Tyler Genao (Ohio State) Alvaro Lozano-Robledo

418 views - 1 month ago

Elliptic Curves and Isogeny-Based Cryptography - by Sarah Arpin (Virginia Tech)

Elliptic Curves and Isogeny-Based Cryptography - by Sarah Arpin (Virginia Tech) Alvaro Lozano-Robledo

162 views - 1 month ago

Magma and the LMFDB - 4 (by Eran Assaf)

Magma and the LMFDB - 4 (by Eran Assaf) Alvaro Lozano-Robledo

89 views - 1 month ago

Analytic Aspects of Quadratic Forms - 4 (by Keith Conrad)

Analytic Aspects of Quadratic Forms - 4 (by Keith Conrad) Alvaro Lozano-Robledo

135 views - 1 month ago

Abelian Extensions and Kronecker-Weber - 4 (by Lori Watson)

Abelian Extensions and Kronecker-Weber - 4 (by Lori Watson) Alvaro Lozano-Robledo

134 views - 1 month ago

Magma and the LMFDB - 3 (by Eran Assaf)

Magma and the LMFDB - 3 (by Eran Assaf) Alvaro Lozano-Robledo

89 views - 1 month ago

Analytic Aspects of Quadratic Forms - 3 (by Keith Conrad)

Analytic Aspects of Quadratic Forms - 3 (by Keith Conrad) Alvaro Lozano-Robledo

154 views - 1 month ago

Quantum Computing and Post-Quantum Cryptography (by Christelle Vincent)

Quantum Computing and Post-Quantum Cryptography (by Christelle Vincent) Alvaro Lozano-Robledo

240 views - 1 month ago

Abelian Extensions and Kronecker-Weber - 3 (by Lori Watson)

Abelian Extensions and Kronecker-Weber - 3 (by Lori Watson) Alvaro Lozano-Robledo

281 views - 1 month ago

Elliptic Curve Cryptography - 4 (by Alvaro Lozano-Robledo)

Elliptic Curve Cryptography - 4 (by Alvaro Lozano-Robledo) Alvaro Lozano-Robledo

249 views - 1 month ago

Elliptic Curve Cryptography - 3 (by Alvaro Lozano-Robledo)

Elliptic Curve Cryptography - 3 (by Alvaro Lozano-Robledo) Alvaro Lozano-Robledo

255 views - 1 month ago

Magma and the LMFDB - 2 (by Eran Assaf)

Magma and the LMFDB - 2 (by Eran Assaf) Alvaro Lozano-Robledo

129 views - 1 month ago

Analytic Aspects of Quadratic Forms - 2 (by Keith Conrad)

Analytic Aspects of Quadratic Forms - 2 (by Keith Conrad) Alvaro Lozano-Robledo

210 views - 1 month ago

Abelian Extensions and Kronecker-Weber - 2 (by Lori Watson)

Abelian Extensions and Kronecker-Weber - 2 (by Lori Watson) Alvaro Lozano-Robledo

285 views - 1 month ago

Elliptic Curve Cryptography - 2 (by Alvaro Lozano-Robledo)

Elliptic Curve Cryptography - 2 (by Alvaro Lozano-Robledo) Alvaro Lozano-Robledo

384 views - 1 month ago

Magma and the LMFDB - 1 (by Eran Assaf)

Magma and the LMFDB - 1 (by Eran Assaf) Alvaro Lozano-Robledo

237 views - 1 month ago

Analytic Aspects of Quadratic Forms - 1 (by Keith Conrad)

Analytic Aspects of Quadratic Forms - 1 (by Keith Conrad) Alvaro Lozano-Robledo

546 views - 1 month ago

Abelian Extensions and Kronecker-Weber - 1 (by Lori Watson)

Abelian Extensions and Kronecker-Weber - 1 (by Lori Watson) Alvaro Lozano-Robledo

698 views - 1 month ago

Elliptic Curve Cryptography - 1 (by Alvaro Lozano-Robledo)

Elliptic Curve Cryptography - 1 (by Alvaro Lozano-Robledo) Alvaro Lozano-Robledo

824 views - 1 month ago

Don Zagier - the "Hitman" of Mathematics

Don Zagier - the "Hitman" of Mathematics Alvaro Lozano-Robledo

7.1K views - 1 month ago

100% chance of success?

100% chance of success? Alvaro Lozano-Robledo

766 views - 1 month ago

BREAKING NEWS: OpenAI has disproved Erdős' unit-distance conjecture

BREAKING NEWS: OpenAI has disproved Erdős' unit-distance conjecture Alvaro Lozano-Robledo

8.2K views - 1 month ago

Rate My Professor VS Institutional evaluations

Rate My Professor VS Institutional evaluations Alvaro Lozano-Robledo

4.6K views - 1 month ago

The number that looks like Gauss is VERY likely prime!

The number that looks like Gauss is VERY likely prime! Alvaro Lozano-Robledo

344 views - 2 months ago

A prime number that looks like Gauss

A prime number that looks like Gauss Alvaro Lozano-Robledo

9.8K views - 2 months ago

Who is right, the teacher or the student?

Who is right, the teacher or the student? Alvaro Lozano-Robledo

975 views - 2 months ago

The arc-length is constant in this family of graphs

The arc-length is constant in this family of graphs Alvaro Lozano-Robledo

245 views - 2 months ago

The Two-Button (EML function) Paper Mega Hype

The Two-Button (EML function) Paper Mega Hype Alvaro Lozano-Robledo

3.4K views - 2 months ago

A few "staircase paradox" examples

A few "staircase paradox" examples Alvaro Lozano-Robledo

164 views - 2 months ago

Multivariable Calculus - 55 - More Review Problems on Vector Calculus

Multivariable Calculus - 55 - More Review Problems on Vector Calculus Alvaro Lozano-Robledo

137 views - 2 months ago

Multivariable Calculus - 54 - Review Problems for Vector Calculus

Multivariable Calculus - 54 - Review Problems for Vector Calculus Alvaro Lozano-Robledo

130 views - 2 months ago

Multivariable Calculus - 53 - The Divergence Theorem

Multivariable Calculus - 53 - The Divergence Theorem Alvaro Lozano-Robledo

134 views - 2 months ago

Multivariable Calculus - 52 - More on Stokes' Theorem

Multivariable Calculus - 52 - More on Stokes' Theorem Alvaro Lozano-Robledo

186 views - 2 months ago

Are infinite series useless?? On the contrary!

Are infinite series useless?? On the contrary! Alvaro Lozano-Robledo

654 views - 2 months ago

Multivariable Calculus - 50 - More on Surface Integrals

Multivariable Calculus - 50 - More on Surface Integrals Alvaro Lozano-Robledo

164 views - 2 months ago

Multivariable Calculus - 51 - Stokes' Theorem

Multivariable Calculus - 51 - Stokes' Theorem Alvaro Lozano-Robledo

232 views - 2 months ago

Multivariable Calculus - 49 - Surface Integrals

Multivariable Calculus - 49 - Surface Integrals Alvaro Lozano-Robledo

204 views - 2 months ago

Some on-campus interview advice

Some on-campus interview advice Alvaro Lozano-Robledo

240 views - 2 months ago

Multivariable Calculus - 48 - More on Surface Area

Multivariable Calculus - 48 - More on Surface Area Alvaro Lozano-Robledo

160 views - 2 months ago

Multivariable Calculus - 47 - Surface Area

Multivariable Calculus - 47 - Surface Area Alvaro Lozano-Robledo

170 views - 2 months ago

Multivariable Calculus - 46 - Parametric Surfaces

Multivariable Calculus - 46 - Parametric Surfaces Alvaro Lozano-Robledo

220 views - 2 months ago

Multivariable Calculus - 45 - Curl and Divergence

Multivariable Calculus - 45 - Curl and Divergence Alvaro Lozano-Robledo

195 views - 2 months ago

Multivariable Calculus - 44 - Green's Theorem (part 2)

Multivariable Calculus - 44 - Green's Theorem (part 2) Alvaro Lozano-Robledo

275 views - 2 months ago

Some square roots found in a geometric picture

Some square roots found in a geometric picture Alvaro Lozano-Robledo

378 views - 2 months ago

The many, MANY, applications of group theory

The many, MANY, applications of group theory Alvaro Lozano-Robledo

2.3K views - 3 months ago

"Topology from Algebraic Geometry" - Ravi Vakil (Stanford), UConn Distinguished Lecture 2026

"Topology from Algebraic Geometry" - Ravi Vakil (Stanford), UConn Distinguished Lecture 2026 Alvaro Lozano-Robledo

4.3K views - 3 months ago