Yaël Yanis Dillies

Contact

Name and title: Yaël Yanis Dillies

ORCID0000-0002-5369-8671 Länk till annan webbplats.

Workplace: Department of Mathematics (incl. Math. Statistics) Länk till annan webbplats.

Visiting address Albano hus 1

Postal address Matematiska institutionen106 91 Stockholm

Research group

Mathematical analysis

Mathematical analysis deals generally with problems that involve questions like how does a quantity develop, that is, how does it depend on variables/parameters? In our group we are mainly working in operator theory, in particular, differential operators, as well as in complex analysis.

About me

I am a second year PhD student under Olof Sisask and Thomas Bloom.

My pronouns are they/them.

HT25: I will be TAing the Kombinatorik course in periods C and D.

VT26: I will be TAing the Cryptography course in periods A and B.

I follow two main strands of research.

The first one is additive combinatorics. I use a property of functions called almost periodicity to investigate sets in R^n whose family of translates has small VC dimension (which is a measure of "simplicity").

The second one is formalisation. I turn paper mathematics (mostly combinatorics, but also some algebraic geometry) into formal code using the Lean theorem prover. I am one of the main contributors to the Lean library Mathlib and one of my landmark results is the formalisation of the recent breakthrough on the Polynomial Freiman-Ruzsa conjecture.


Contact

Name and title: Yaël Yanis Dillies

ORCID0000-0002-5369-8671 Länk till annan webbplats.

Workplace: Department of Mathematics (incl. Math. Statistics) Länk till annan webbplats.

Visiting address Albano hus 1

Postal address Matematiska institutionen106 91 Stockholm

Research group

Mathematical analysis

Mathematical analysis deals generally with problems that involve questions like how does a quantity develop, that is, how does it depend on variables/parameters? In our group we are mainly working in operator theory, in particular, differential operators, as well as in complex analysis.