## Dr. Maram Alossaimi

### Imam Mohammad Ibn Saud University

I am a lecturer in Mathematics and Statistics department, Science college at the University of Imam Mohammad Ibn Saud in Saudi Arabia since 2014.

I started my PhD journey in 2018, under the supervision of Prof. Vladimir Bavula. Our research is devoted to studying classifications of Poisson prime ideals for a certain class of Poisson polynomial algebras in three variables. The study of such algebras was first introduced by Oh in 2006, $[$Oh, 2006$]$. The algebras ${A}=K[t][x,y]$ are the Poisson polynomial algebras in one variable $t$, with trivial Poisson bracket, over an algebraically closed field $K$ of characteristic zero, that are extended into two variables $x$ and $y$, under certain conditions, such that if $u$ is a fixed polynomial in $K[t]$, $f$ is an arbitrary polynomial in $K[t]$, $\lambda$ is a unit element in $K^\times,$ $c$ is an arbitrary element in $K,$ the partial derivations $\partial_t=\frac{d}{dt}$ and $\partial_y=\frac{d}{dy}$. The Poisson algebras ${A}$ can be denoted either by

$$(K[t]; f \partial_{t}, {\lambda^{-1}}f\partial_{t}, c, u) \ \text{or}\ \ K[t][y; f \partial_{t}] [x; {\lambda^{-1}}f\partial_{t}, u\partial_{y}]$$

with Poisson bracket defined by the rule

$$\lbrace t, y \rbrace=fy, \ \ \lbrace t, x \rbrace={\lambda^{-1}} f x \ \ \text{and}\ \ \lbrace y, x \rbrace=cyx+u.$$ The class of Poisson algebras ${A}$ splits into three classes: I, II and III. Each of them splits further into subclasses. We are interested in the Poisson spectra, minimal Poisson ideals and maximal Poisson ideals of Poisson algebras ${A}$ in order to study some properties of their Poisson algebras, Poisson enveloping algebras and some simple finite dimensional Poisson $A$-modules. The results, i.e. the containment of Poisson prime ideals for Poisson algebras that belong to some subclasses are presented in diagrams.

I finished my PhD’s degree and I am going back to teach at the University of Imam Mohammad Ibn Saud.

Interests
• Group Theory
• Ring Theory
• Commutative Algebras
• Non-commutative Algebras
• Poisson Algebras
Education
• PhD in Poisson Algebras and their spectra, 2018-2022

The University of Sheffield, United Kingdom

• MSc in Pure Mathematics and Mathematical Logic, 2016-2017

The University of Manchester, United Kingdom

• BSc in Mathematics, 2008-2012

The University of King Saud, Saudi Arabia

Puzzles

70%

Latex

70%

Photography

60%

# Experience

PhD’s degree
Oct 2018 – Dec 2022 UK

Responsibilities include:

• Teaching
• Marking
• Training
Lecturer
Nov 2017 – Jul 2018 Saudi Arabia
Taught Mathematics and Statistic in Mathematics and Statistics department, Science college.
Master’s degree
Sep 2016 – Oct 2017 UK
I took some modules in algebra and non-commutative algebra, I did my short project in the Mathieu group $M_{24}$ and I wrote my dissertation, classified some simple finite groups, in particaular, the Leech Lattice and Conway groups and this work was done under the supervision of Prof. Peter Rowley.
Lecturer
Jul 2013 – Aug 2014 Saudi Arabia
Taught Mathematics and Statistic in Mathematics and Statistics department, Science college.
Bachelor’s degree
Jun 2008 – Jun 2012 Saudi Arabia
I took some modules in Pure mathematics, Calculus, Analysis, Topology and some applied mathematics modules. In my final semester I did my short project in Topology.

# Awards

The Best presentation
I won the best virtual presentation with the title ’Poisson algebras and Iterated skew polynomial algebras’
See certificate
The second Best Poster
I won the second virtual poster with the title ’Poisson algebra I’
See certificate
Distinguished Rewards
I got distinguished awards during my Master’s degree
See certificate
Distinguished Rewards
I got distinguished awards several times during my Bachelor’s degree
See certificate