Or Shalom
I am a member of the Institute of Advanced studies at Princeton. Before that I was a PhD student at the Einstein Institute of Mathematics (HUJI) under the supervision of Professor Tamar Ziegler. My research interests lie primarily in Ergodic theory, Ergodic Ramsey theory and Additive Combinatorics. You may reach me at Or.Shalom@mail.huji.ac.il.
Publications and preprints: Host-Kra theory for ⊕_p∈P𝔽_p- systems and multiple recurrence. Ergodic Theory and Dynamical systems. (2021). [PDF], [arXiv], [Journal]. Ergodic averages in abelian groups and Khintchine recurrence. Trans. Amer. Math. Soc. (2021). [PDF], [arXiv], [Journal]. Khintchine type recurrence for 3-point configurations (2022). Joint work with Ethan Ackelsberg and Vitaly Bergelson. Forum of Math Sigma (2022). [PDF], [arXiv], [Journal]. Host-Kra factors for ⊕_p∈Pℤ/pℤ-actions and finite dimensional nilpotent system (2021). [PDF], [arXiv]. To appear in Analysis and PDE. The structure of arbitrary Conze-Lesigne systems (2021) with Asgar Jamneshan and Terence Tao. [PDF], [arXiv], [blog]. To appear in Communications of the AMS. An application of Grothendieck theorem to multicorrelation sequences, multiple recurrence and partition regularity of quadratic equations (2023). [PDF], [arXiv]. A Host-Kra 𝔽₂^ω-system of order 5 that is not Abramov of order 5, and non-measurability of the inverse theorem for the U⁶(𝔽₂ⁿ) norm (2023). with Asgar Jamneshan and Terence Tao. [PDF], [arXiv], [blog]. The structure of totally disconnected Host--Kra--Ziegler factors, and the inverse theorem for the U^k Gowers uniformity norms on finite abelian groups of bounded torsion (2023). with Asgar Jamneshan and Terence Tao. [PDF], [arXiv], [blog]. On the maximal spectral type of nilsystems. with Ethan Ackelsberg and Florian Richter . [PDF], [arXiv].

Or Shalom

I am a member of the Institute of Advanced studies at Princeton. Before that I was a PhD student at the Einstein Institute of Mathematics (HUJI) under the supervision of Professor Tamar Ziegler. My research interests lie primarily in Ergodic theory, Ergodic Ramsey theory and Additive Combinatorics.

You may reach me at Or.Shalom@mail.huji.ac.il.

Publications and preprints:

Host-Kra theory for ⊕_p∈P𝔽_p- systems and multiple recurrence.
Ergodic Theory and Dynamical systems. (2021).
[PDF], [arXiv], [Journal].
Ergodic averages in abelian groups and Khintchine recurrence.
Trans. Amer. Math. Soc. (2021).
[PDF], [arXiv], [Journal].
Khintchine type recurrence for 3-point configurations (2022).
Joint work with Ethan Ackelsberg and Vitaly Bergelson.
Forum of Math Sigma (2022).
[PDF], [arXiv], [Journal].
Host-Kra factors for ⊕_p∈Pℤ/pℤ-actions and finite dimensional nilpotent system (2021). [PDF], [arXiv].
To appear in Analysis and PDE.
The structure of arbitrary Conze-Lesigne systems (2021) with Asgar Jamneshan and Terence Tao. [PDF], [arXiv], [blog]. To appear in Communications of the AMS.
An application of Grothendieck theorem to multicorrelation sequences, multiple recurrence and partition regularity of quadratic equations (2023). [PDF], [arXiv].
A Host-Kra 𝔽₂^ω-system of order 5 that is not Abramov of order 5, and non-measurability of the inverse theorem for the U⁶(𝔽₂ⁿ) norm (2023). with Asgar Jamneshan and Terence Tao. [PDF], [arXiv], [blog].
The structure of totally disconnected Host--Kra--Ziegler factors, and the inverse theorem for the U^k Gowers uniformity norms on finite abelian groups of bounded torsion (2023). with Asgar Jamneshan and Terence Tao. [PDF], [arXiv], [blog].
On the maximal spectral type of nilsystems. with Ethan Ackelsberg and Florian Richter . [PDF], [arXiv].