6 papers
Diamond Maximal Operators: Classification, Moduli, and Oscillation Envelopes
Mohammadreza Mohajer
We study maximal averages generated by bounded cancellative kernels taking values in finite-dimensional real normed spaces, on Euclidean balls and on balls in a non-Archimedean loc…
Sharp Constants and Extremizers in Homogeneous Tree BMO
Mohammadreza Mohajer
We develop a finite-tree formalism for sharp inequalities on real-valued, mean-centered -BMO over homogeneous -ary filtrations. A reduction theorem identifie…
Annular Frobenius Classification of p-adic Stieltjes--Schwarzian Equations
Mohammadreza Mohajer, Abdellah Sebbar
We give explicit annular normal forms and classify Frobenius structures for -adic Schwarzian equations defined by developing differentials. For a unit of the Robba ring, reducti…
Crystalline Realizations of 1-Motives: Integral Structure and Classification via Linear Frobenius
Mohammadreza Mohajer
We study morphisms and integral weight splittings in the contravariant Dieudonné realization of Deligne -motives over a finite field. Combining the classical Tate theorem with a…
P-adic Period Conjectures for 1-motives: Integration and Linear Relations
Mohammadreza Mohajer, Abdellah Sebbar
We develop a -adic theory of periods for 1-motives, extending the classical theory of complex periods into the non-archimedean setting. For 1-motives with good reduction over $p…
Linear relations of p-adic periods of 1-motives (thesis)
Mohammadreza Mohajer
In this thesis, we aim to develop p-adic analogs of known results for classical periods, focusing specifically on 1-motives. We establish an integration theory for 1-motives with g…