Research profiles
[Arxiv profile]
[Mathscinet Author ID: 1457005]
[ORCiD: 0000-0001-8183-6157]
[ZB Math Profile]
[Google scholar profile]
[BIMSA Homepage]
You can find a list of talks that I have given and conferences that I attended here
Preprints
a
5) The Theory of Normality for Dynamically Generated Cantor Series Expansions (joint work with Bill Mance) [arxiv]
4) On the Jacobs-de Leeuw-Glicksberg Decomposition (joint work with Micky Barthmann and Yulia Kuznetsova) [arxiv]
3) Undecidability in the Ramsey theory of polynomial equations and Hilbert’s tenth problem (joint work with Bill Mance and Steve Jackson), [arxiv]
2) A generalization of van der Corput’s Difference Theorem, [arxiv]
1) Asymptotic dynamics on amenable groups and van der Corput sets (joint work with Robin Tucker-Drob) [arxiv] [zbMath]
a
a
a
Publications
a
6) Uniform vector-valued pointwise ergodic theorems for operators
-joint work with Micky Barthmann
[arxiv] [DOI] [zbMath]
5) Van der Corput’s difference theorem for amenable groups and the left regular representation
[arxiv] [DOI] [zbMath]
4) A generalization of van der Corput’s difference theorem with applications to recurrence and multiple ergodic averages
[arxiv] [DOI] [zbMath]
3) On the partition regularity of ax+by = cwmzn
-joint work with R. Magner
[arxiv] [DOI] [zbMath]
2.5) Ph.D. Thesis: Topics in ergodic theory and ramsey theory.
[Permalink] [PDF]
-joint work with J. Grytczuk
[DOI] [2nd Ed.] [zbMath]
a
a
My Pre-Ph.D. Mathematical Works
a
1) Complements Through Cevian Triangles A problem of my own about Cevian Triangles of a given Triangle.
2) Sawayama Thebault An expository article about the internal and external Sawayam The Bault Theorems.
3) Exeter Point An expository article about the existence of the Exeter Point as well as the fact that it lies on the Euler Line.
4) Centroids and Circumcenters A problem of my own relating some Centroids and Circumcenters.
5) Some Interesting Collinearities A problem of my own about some interesting collinearities that arise from Cevian Triangles.
6) Inequalities and Quadratic Forms A technique I developed to solve Olympiad inequalities through the use of linear algebra and quadratic forms.
7) Triangle Center X(8043) While playing around on Geogebra I accidentally discovered a new construction in Euclidean geometry that is now referred to as the Farangi-cyclocevian image of a point. When applied to the incenter (also referred to as X(1)) of a triangle, it produces a new triangle center.
8) On Refinements of Van der Waerden’s Theorem My master’s thesis on Ramsey Theory.
9) The Fibonacci Numbers are Not 2 Large A result that I discovered at the 2014 University of West Georgia REU. I formally wrote up this result in July of 2021 since it is amusing and slightly related to the content of my second publication.
Sohail Farhangi 