Writings

 Here, I collect some mathematical texts I've written and which might be of someone's interest. 

• My Bachelor Thesis: A^1 Homotopy Theory. In this text, I try to promote the idea that (pre)sheaves are generalized spaces. Then I upgrade that to homotopical context. After that, and after explaining some algebraic geometry, I am able to introduce A^1 homotopy theory and outline some interesting applications.

• My assignment for Algebra IV course: Sheaf cohomology - a short survey.pdf.

• Slides for the talk I've given in Reading seminar from category theory:  Enriched categories, weighted colimits.pdf. I've tried to explain how we can view weighted colimits as a special case of the functor tensor product and how we can present enriched Kan extensions using that fact.

• Slides for yet another talk I've given in Reading seminar: Tangent structures, part 1, part 2, part 3. I talked about various examples of categories equipped with a notion of a tangent space.

• Very unofficial text: Kähler differentials.pdf. I was learning those stuff for a better understanding of étale morphisms and I've managed to collect some fun facts.