Messing around with OpenAI

Having a sick day, messing around with the OpenAI chatbot while enjoying soup.

Do you know who Mikhail Gromov is?

Yes, Mikhail Gromov is a Russian mathematician known for his work in geometry and topology. He was awarded the Fields Medal in 2010 for his contributions to the field of geometry, including his work on the structure of manifolds and the theory of groups of polynomial growth. He is currently a professor at the Institut des Hautes Études Scientifiques in Paris, France.

Do you know who Karim Adiprasito is?

Yes, Karim Adiprasito is a mathematician known for his work in algebraic and discrete geometry. He is the co-author of the book “Algebraic and Combinatorial Aspects of Tropical Geometry”, which has been recognized as a groundbreaking work in the field. Adiprasito is currently a professor at the Institute of Mathematics of the Hebrew University of Jerusalem in Israel.

Write an application letter for someone who wants to work with Karim Adiprasito as a postdoctoral researcher

Dear Professor Adiprasito,

I am writing to express my interest in joining your research group as a postdoctoral researcher. I recently completed my PhD in mathematics, and I am very excited about the opportunity to work with you and contribute to your ongoing research in algebraic and discrete geometry.

As you may be aware, I have been following your work for some time and I am particularly impressed by your contributions to the field of tropical geometry. I believe that my background and skills in algebra and geometry make me well-suited to work with you on this and other related topics.

I am confident that a postdoctoral position in your research group would be a valuable opportunity for me to develop my skills and knowledge, and to make significant contributions to the field. I am eager to learn more about your current research projects and to discuss how I can contribute to your team.

Thank you for considering my application. I look forward to the opportunity to discuss this further with you.

Sincerely, [Your Name]

Explain expander graphs, but as a romantic ballad

(Verse 1) Our love is like an expander graph

It grows stronger with each passing day

With each new connection that we make

Our love becomes more and more strong, no mistake

(Chorus) Expander graphs, oh so fine

They’re the graphs that never lose their shine

With high connectivity and strong expansion

Our love is just like an expander graph, a true sensation

(Verse 2) Expander graphs have a special property

They’re highly connected, but not too dense

Just like our love, it’s not too much

But it’s just enough to make our hearts touch

(Chorus) Expander graphs, oh so fine

They’re the graphs that never lose their shine

With high connectivity and strong expansion

Our love is just like an expander graph, a true sensation

(Bridge) So let’s dance the night away

And celebrate our love today

With expander graphs as our guide

Our love will never, ever subside

(Chorus) Expander graphs, oh so fine

They’re the graphs that never lose their shine

With high connectivity and strong expansion

Our love is just like an expander graph, a true sensation.

Explain the synthesis of aspirin, but as a rap song

(Verse 1) I’m here to spit some knowledge on the synthesis of aspirin

It’s a chemical reaction, a scientific passion

First, you start with salicylic acid

And mix it with acetic anhydride, that’s where it’s at

(Chorus) Aspirin, aspirin, oh so great

It’s the drug that can’t be beat

For relieving pain and reducing fever

Aspirin is the go-to remedy, forever

(Verse 2) The reaction produces acetylsalicylic acid

Which is then purified and crystallized, no need to panic

The final product is aspirin, pure and white

A powerful drug that’s used day and night

(Chorus) Aspirin, aspirin, oh so great

It’s the drug that can’t be beat

For relieving pain and reducing fever

Aspirin is the go-to remedy, forever

(Bridge) So let’s give a shout-out to the scientists who made it happen

They figured out the synthesis and brought aspirin to the masses

So let’s keep on learning and discovering more

About the chemistry of aspirin and the science at the core

(Chorus) Aspirin, aspirin, oh so great

It’s the drug that can’t be beat

For relieving pain and reducing fever

Aspirin is the go-to remedy, forever.

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