Aida Maraj
Research Interests
I am a fourth year PhD student in Mathematics. My advisor is Uwe Nagel and my research interests lie in the field of Algebraic Statistics. Algebraic Statistics is useful for analysis of data when traditional statistical methods fail. In particular, the main project I am working on is about hierarchical models and their corresponding toric ideals. I study algebraic and geometric properties of these models, and algorithms that produce Markov bases for them. We are enjoying working on equivariant Hilbert series these days.
I would love to talk with you about any type of statistical model, and discuss together how to use the Algebra machinery to think differently about these models. Additionally, I am trying to be better at making technology my friend. So, we can talk about Macaulay2, 4ti2, Sage, R, Python. Just stop by my office or send me an email!
Teaching Profile
I am currently a Course Assistant for Matrix Algebra (MA 322). Below is a list of my previous teaching experiences at University of Kentucky:
 Spring 2018: Calculus I, Workshop Leader (Math Excel Program).
 Fall 2017: Calculus I, Workshop Leader (Math Excel Program).
 Summer 2017: Calculus III, Primary Instructor (one section).
 Spring 2017: Calculus I for Life Science Applications, Recitation Leader (two sections).
 Fall 2016: Calculus II, Recitation Leader (two sections).
 Summer 2016: Calculus II, Primary Instructor (one section).
 Spring 2016: Calculus II, Recitation Leader (two sections).
 Fall 2015: Algebra and Trigonometry for Calculus, Recitation Leader (two sections).
**Math Excel is an intensive problemsolving approach to the standard calculus sequence.
Students spend extra time each week working on enriching exercises in small groups with
assistance from the workshop leader and undergraduate assistants.**
Selected Publications:
 Equivariant Hilbert Series and Krull dimension arising from Hierarchical Models. Joint work with Uwe Nagel (in progress).

Generating sets for Hierarchical Models up to Symmetric Group Action. Joint work with Uwe Nagel (in progress).