Hi, my name is Irem Portakal.

About Me

I am a postdoctoral researcher in the Discrete, Convex and Toric Geometry research group of Benjamin Nill at Otto-von-Guericke-Universität Magdeburg. I defended my thesis in April 2018 at Freie Universität Berlin. I was a PHD Student in Berlin Mathematical School and in the Algebraic Geometry Group of Klaus Altmann. Before, I was a master student at École Normale Supérieure in Lyon, France and an undergraduate student at Galatasaray University in Istanbul, Turkey.

Some key words for my research: Deformation, rigidity, toric, T-varieties, edge cones, edge polytopes, lattice polytopes, rational maximum likelihood estimators, Horn matrix, matrix Schubert varieties, Kazhdan-Lusztig varieties.

Publications

Code

Ongoing projects

  • Complexity of the usual torus action on Kazhdan-Lusztig varieties, with Maria Donten-Bury and Laura Escobar-Vega
    • We investigate the class of Kazhdan-Lusztig varieties, and its subclass of matrix Schubert varieties, endowed with a naturally defined torus action. We give a combinatorial description of the weight cone of a Kazhdan-Lusztig variety. We also construct and investigate examples of Kazhdan-Lusztig varieties where the considered action has small complexity. Finally, we introduce a recipe for constructing families of complexity-d T-varieties of same dimension.
  • Rational linear precision and discrete statistical models with rational maximum likelihood estimator with Isobel Davies, Eliana Duarte, and Miruna-Stefana Sorea
    • In this paper we introduce new families of 3-dimensional polytopes that have rational MLE and we study them from the point of view of Algebraic Statistics in terms of staged trees. Moreover we give the explicit description of their Horn matrices.

Teaching

Otto-von-Guericke-Universität Magdeburg

WiSe 20/21

SoSe 20

WiSe 19/20

SoSe 19

WiSe 18/19

SoSe 18

Freie Universität Berlin

WiSe 17/18

2016-2018

Galatasaray University

2010-2013

  • Analyse à une variable I-II, Introduction à la géométrie torique, 10.2012 - 09.2013.
  • Abstract Algebra Exercise Session, 02.2010 - 05.2010.

Contact

E-mail: mail [at] domain

where domain = irem-portakal.de