Büşra Sert

I am a PhD fellow in real algebraic geometry group. My advisor is Mario Kummer.

I am interested in combinatorial aspects of spectrahedral representability. I like having geometry and programming components in my research.

I was a mentor in the directed reading program DRP Turkey. My mentee was Deniz Naz Demirel.

I gave a Kinder Science Slam talk on 08.07.2022. The title was: Lasst uns die Extrempunkte der Polytope Bestimmen!

Preprints:

Matroids on Eight Elements with the Half-plane Property and Related Concepts (Joint work with Mario Kummer)  ArXiv   Zenodo

Combinatorial Methods for Minkowski Tensors of Polytopes (Joint work with Amy Wiebe and Niklas Livchitz) ArXiv

Additional Materials:

• Data Base of Matroids on Eight and Nine Elements with the Half-plane Property and SOS-Rayleigh (Joint work with Mario Kummer)  Zenodo
• Code files for testing the HPP of matroids Github
• Code files for an algorihm for the chamber complex Github

Recent Talks:

• The Half-Plane Property of Matroids, Related Concepts, and an Algorithm. 13.07.2022. TU Berlin, Berlin.
• Matroids on 8 (and 9) Elements with the Half-Plane Property and Related Concepts. 21.06.2022. MEGA 2022, Krakow.
• An Algorithm for Testing the Half-Plane Property of Matroids.03.03.2022. CIRM, Marseille. Slides
• Introductory talks on hyperbolic polynomials and related concepts. 9.11.2021 and 16.11.2021. TU Dresden.
• Spectrahedral Representability and Matroids. 30.07.2021. MPI MIS, Leipzig.
• Some Concepts from Real Algebraic Geometry. 26.03.2021. Balikesir University. (Online)
• Combinatorial Methods for Minkowski Tensors of Polytopes. 24.03.2021. UCGEN Seminars. (Online)Video
• Matroid Polytopes, the Half-Plane Property and More.  1-3.12.2020. BYMAT 2020. (Online Poster Presentation)
• A Study on the Chamber Complex. 13.05.2020. FU Berlin. (Online)

Travel (Mostly Online):

• Effective Methods in Algebraic Geometry (MEGA) 2022. 20-24.06.2022. Krakow, Poland.
• Journées Nationales de Calcul Formel. 28.02-04.03. 2022. CIRM, Marseille, France.

• BIRS-CMO Workshop, "Real Polynomials: Counting and Stability". 17-22.10.2021. (Online)

• SIAM Conference on Applied Algebraic Geometry. 16-20.08.2021. (Online)
• International Symposium on Symbolic and Algebraic Computation-ISSAC. 18-23.07.2021. (Online)
• Minicourse on Convex Geometry. 5-16.07.2021. MPI MIS, Leipzig.
• Effective methods in Algebraic Geometry-MEGA. 7-11.06.2021. (Online)
• Bringing Young Mathematicians Together- BYMAT. 1-3.12.2020. (Online)
• International Symposium on Symbolic and Algebraic Computation-ISSAC. 20-23.07.2020. (Online)
• Research Retreat of Thematic Einstein Semester “Algebraic Geometry - Varieties, Polyhedra, Computation”. 18-20.12.2019. Brandenburg.

Languages:

Turkish(mother tongue), English(advanced), German(intermediate), French(intermediate), Greek(beginner)

Contact:

E-mail:

Office 246,  Zellescher Weg 23, 01069 Dresden