Research Interests

• Primary: Extremal Combinatorics, Spectral Graph Theory, Algebra and Additive Number Theory 

• Secondary: Differential Geometry

Publications and Manuscripts 

• Demiroğlu Karabulut, Yeşim. “Unit-graphs and Special Unit-digraphs on Matrix Rings.” Forum Mathematicum  30, no. 6 (2018): 1397–1412. https://doi.org/10.1515/forum-2017-0262.

• Demiroğlu Karabulut, Yeşim. “Waring's Problem in Finite Rings.” Journal of Pure and Applied Algebra  223, no. 8 (2019): 3318–3329. https://doi.org/10.1016/j.jpaa.2018.11.003.

• Covert, David, Yeşim Demiroğlu Karabulut and Jonathan Pakianathan. “Cayley Digraphs Associated to Arithmetic Groups.” Graphs and Combinatorics  35, no. 2 (2019): 393–417. https://doi.org/10.1007/s00373-018-2002-9.

• Demiroğlu Karabulut, Yeşim, Doowon Koh, Thang Pham, Chun-Yen Shen, Le Anh Vinh. “Expanding Phenomena over Matrix Rings.” Forum Mathematicum  31, no. 4 (2019): 951–970. https://doi.org/10.1515/forum-2019-0032. 

• Demiroğlu Karabulut, Yeşim. “An Analogue of Furstenberg-Sárközy’s Theorem and An Alternative Solution to Waring’s Problem over Finite Fields.” Expositiones Mathematicae  41, no. 1 (2023): 164–185. https://doi.org/10.1016/j.exmath.2022.10.003. 

• Demiroğlu Karabulut, Yeşim. “Sum-Product Problem in Matrix Rings”. In preparation.

• Demiroğlu Karabulut, Yeşim and Stephan Ramon Garcia. “Unipotent equivalence of matrices and related graphs”. In preparation.

• Demiroğlu Karabulut, Yeşim and Sin-Min Lee. “A note on ring magic graphs”. In preparation.