Or Shalom
I am a mathematician at the department of mathematics at Bar Ilan University. Before that I was a member at the Institute of Advanced studies at Princeton and 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@math.biu.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. 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. Analysis and PDE (2024) [PDF], [arXiv], [Journal] The structure of arbitrary Conze-Lesigne systems. Joint work with Asgar Jamneshan and Terence Tao. Communications of the American Mathematical Society (2024). [PDF], [arXiv], [blog], [Journal]. 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. Joint work with Asgar Jamneshan and Terence Tao. Mathematische Annalen (2026). [PDF], [arXiv], [blog],[Journal]. 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). Joint work with Asgar Jamneshan and Terence Tao. [PDF], [arXiv], [blog]. On the maximal spectral type of nilsystems. Joint work with Ethan Ackelsberg and Florian Richter . Proceeding of the American Math Society (2024). [PDF], [arXiv],[Journal]. Ergodic averages and the large intersection property along IP sets (2025). Joint work with Bryna Kra . [arXiv]. Polynomial towers and inverse Gowers theory for bounded-exponent groups (2026). Joint work with Asgar Jamneshan and Terence Tao. [arXiv], [blog] . On the Furstenberg-Katznelson constant for the IP Szemeredi theorem over finite fields (2026). [arXiv].

Or Shalom

I am a mathematician at the department of mathematics at Bar Ilan University. Before that I was a member at the Institute of Advanced studies at Princeton and 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@math.biu.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.
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.
Analysis and PDE (2024)
[PDF], [arXiv], [Journal]
The structure of arbitrary Conze-Lesigne systems.
Joint work with Asgar Jamneshan and Terence Tao.
Communications of the American Mathematical Society (2024).
[PDF], [arXiv], [blog], [Journal].
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.
Joint work with Asgar Jamneshan and Terence Tao.
Mathematische Annalen (2026).
[PDF], [arXiv], [blog],[Journal].
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).
Joint work with Asgar Jamneshan and Terence Tao.
[PDF], [arXiv], [blog].
On the maximal spectral type of nilsystems.
Joint work with Ethan Ackelsberg and Florian Richter .
Proceeding of the American Math Society (2024).
[PDF], [arXiv],[Journal].
Ergodic averages and the large intersection property along IP sets (2025).
Joint work with Bryna Kra .
[arXiv].
Polynomial towers and inverse Gowers theory for bounded-exponent groups (2026).
Joint work with Asgar Jamneshan and Terence Tao.
[arXiv], [blog] .
On the Furstenberg-Katznelson constant for the IP Szemeredi theorem over finite fields (2026).
[arXiv].