Arnasli Yahya

Assignment: 
PhD student
Degree: 
-
Office: 
H21
Telephone: 
+36-1-463-2644
Email: 
-

Courses

Tantárgy neve Kurzus kód Órarendi információ
Calculus 1 for Informaticians BMETE90AX21/EN0-2
M. 10:15-12:00 (R516)
Tu. 10:15-12:00 (R516)
Calculus 1 for Informaticians BMETE90AX21/EN1-2
W. 10:15-12:00 (R508)

Teaching

2020/2021-2 : BMETETOPB22 Basic Mathematics 2: Algebra Part

2021/2022-1 : BMETETOPB22 Basic Mathematics 1: Geometry Part

2022/2023-1: BMETE90AX21-Analysis 1 for IT professionals

2022/2023-2: BMETE90AX02-Mathematics A2a - Vector Functions

 

 

Research

Publications and citations:
MTMTORCIDGoogleScholarResearcherIDScopusResearchGate

I am currently working on Sphere Packings in Hyperbolic Geometry. The 'Spheres' are Classical Spheres, Horospheres, and Hyperspheres. I am also interested in the problem of optimal circles on the discontinuous (Coxeter) groups.

Most important publications

  1. Yahya, A., & Szirmai, J. (2023). Geodesic ball packings generated by rotations and monotonicity behavior of their densities in $\mathbf {H}^ 2\!\times\!\mathbf {R} $ space. arXiv preprint arXiv:2311.12260, https://doi.org/10.48550/arXiv.2311.12260
  2. Arnasli Yahya & Jenő Szirmai (2023) Optimal Ball and Horoball Packings Generated by Simply Truncated Coxeter Orthoschemes with Parallel Faces in Hyperbolic n-space for $4 \leq n \leq 6$, Arxiv preprint, https://doi.org/10.48550/arXiv.2305.05605
  3. Yahya, A. (2023). On Problem of Best Circle to Discontinuous Groups in Hyperbolic Plane. Mathematical Communications, 28, 121-140. https://www.mathos.unios.hr/mc/index.php/mc/article/view/4803/870
  4. Szirmai, J., & Yahya, A. (2023). Optimal ball and horoball packings generated by 3-dimensional simply truncated Coxeter orthoschemes with parallel faces. Quaestiones Mathematicae46(5), 1017-1037., DOI: 10.2989/16073606.2022.2048317
  5. Yahya, A., & Szirmai, J. (2021). Visualization of Sphere and Horosphere Packings Related to Coxeter Tilings by Simply Truncated Orthoschemes with Parallel Faces. KoG25(25), 64-71. https://hrcak.srce.hr/269217

Visualization of dirichlet voronoi cell of Coxeter group by double truncated orthoscheme:

http://Arnasli.github.io