# Seminars & Events for Minerva Lectures

##### Minerva Lecture I: Logic, Elliptic curves, and Diophantine stability

**Minerva Lecture I: ** An introduction to aspects of *mathematical logic* and *the arithmetic of elliptic curves *that make these branches of mathematics inspiring to each other. Specifically: algebraic curves - other than the projective line - over number fields tend to acquire no new rational points over many extension fields. This feature (which I call 'diophantine stability') makes elliptic curves, in particular, useful as vehicles to establish diophantine unsolvability for many large rings. To repay the debt, mathematical logic offers consequences to the arithmetic of elliptic curves over decidable rings. I will also discuss new results about diophantine stability.

##### Minerva Lecture II: Logic, Elliptic curves, and Diophantine stability

**Minerva Lecture II: ** An introduction to aspects of *mathematical logic* and *the arithmetic of elliptic curves *that make these branches of mathematics inspiring to each other. Specifically: algebraic curves - other than the projective line - over number fields tend to acquire no new rational points over many extension fields. This feature (which I call 'diophantine stability') makes elliptic curves, in particular, useful as vehicles to establish diophantine unsolvability for many large rings. To repay the debt, mathematical logic offers consequences to the arithmetic of elliptic curves over decidable rings. I will also discuss new results about diophantine stability.

##### Minerva Lecture III: Logic, Elliptic curves, and Diophantine stability

**Minerva Lecture III: ** An introduction to aspects of *mathematical logic* and *the arithmetic of elliptic curves *that make these branches of mathematics inspiring to each other. Specifically: algebraic curves - other than the projective line - over number fields tend to acquire no new rational points over many extension fields. This feature (which I call 'diophantine stability') makes elliptic curves, in particular, useful as vehicles to establish diophantine unsolvability for many large rings. To repay the debt, mathematical logic offers consequences to the arithmetic of elliptic curves over decidable rings. I will also discuss new results about diophantine stability.