The seventh “One World webinar” organized by YoungStatS will take place on November 17th, 2021. In recent decades, algebraic and combinatorial tools have proved useful for computing MLEs and understanding the geometry of the MLE problem which in recent years led to new and interesting results in combinatorics and algebraic geometry. Selected young researchers active in the area of algebraic statistics will present their recent contributions on this topic. Speakers: Jane Ivy Coons, University of Oxford, United Kingdom Aida Maraj, University of Michigan – Ann Arbor, USA Anna Seigal, Harvard University, USA Discussant: Dr. Carlos Améndola, Technical University of Munich, Germany The webinar is part of YoungStatS project of the Young Statisticians Europe initiative (FENStatS) supported by the Bernoulli Society for Mathematical Statistics and Probability and the Institute of Mathematical Statistics (IMS).