Tefjol Pllaha, Assistant Professor
Department of Mathematics and Statistics
College of Arts and Sciences
University of South Florida
Short Bio:
I am an assistant professor of mathematics at the University of South Florida.
I earned my PhD degree in mathematics from University of Kentucky in 2019
under the supervision of Heide Gluesing-Luerssen.
Before joining USF, I held postdoctoral positions at the University of Nebraska-Lincoln working with
Christine Kelley
and at Aalto University working with Olav Tirkkonen.
Email: tlastname(at)usf(dot)edu
Visiting Address: CMC 301C
Research
My research interests are in applied algebra, very broadly defined. Currently I am focused on applications to coding theory, quantum computation, wireless communications, and online privacy and security. This involves work with finite algebraic structures, which may be directly involved in said applications, or that may arise as discretized versions of continuous algebraic structures. I routinely use tools from finite field theory, Fourier analysis, representation theory, (finite or complex) Grassmannian geometry, and finite symplectic geometry. Check out my research statement and publications for more!
Teaching
Current Classes
- Math of Quantum Computing (MAD 4515)
Publications
- K. Morris, T. Pllaha, C. Kelley, Analysis of syndrome-based iterative decoder failure of QLDPC codes, 2023 12th International Symposium on Topics in Coding (ISTC), Brest, France, 2023, pp. 1-5
- M. Allaix, Y. Lu, Y. Yao, T. Pllaha, C. Hollanti, S. Jafar, N-Sum Box: An Abstraction for Linear Computation over Many-to-one Quantum Networks, To appear In 2023 IEEE Global Communications Conference (Long version Submitted to IEEE Transactions on Information Theory).
- J. Liao, R. Vehkalahti, T. Pllaha, W. Han, O. Tirkkonen, Modular CSI Quantization for FDD Massive MIMO Communication, IEEE Transactions on Wireless Communications (Early Access).
- T. Pllaha, O. Tirkkonen, R. Calderbank, Binary Subspace Chirps, IEEE Transactions on Information Theory, vol. 68, no. 12, pp. 7735-7752.
- M. Allaix, S. Song, L. Holzbaur, T. Pllaha, M. Hayashi, C. Hollanti, On the Capacity of Quantum Private Information Retrieval from MDS-Coded and Colluding Servers, IEEE Journal on Selected Areas in Communications, vol. 40, no. 3, pp. 885-898, 2022.
- T. Pllaha, E. Heikkilä, R. Calderbank, O. Tirkkonen, Low-Complexity Grassmannian Quantization Based on Binary Chirps, 2022 IEEE Wireless Communications and Networking Conference, pp. 1105-1110, 2022.
- T. Pllaha, K. Volanto, O. Tirkkonen, Decomposition of Clifford Gates, In 2021 IEEE Global Communications Conference, pp. 01-06, 2021.
- R. Vehkalahti, T. Pllaha, O. Tirkkonen, Signature Code Design for Fast Fading Channels, In 2021 IEEE International Symposium on Information Theory, pp. 2936-2941, 2021.
- M. Allaix, L. Holzbaur, T. Pllaha, C. Hollanti, High-Rate Quantum Private Information Retrieval with Weakly Self-Dual Star Product Codes, In 2021 IEEE International Symposium on Information Theory, pp. 1046-1051, 2021.
- R. Vehkalahti, J. Liao, T. Pllaha, W. Han, O. Tirkkonen,
CSI Quantization for FDD Massive MIMO Communication,
In 2021 IEEE Vehicular Technology Conference - Spring.
DOI:10.1109/VTC2021-Spring51267.2021.9449010. - R. Vehkalahti, T. Pllaha, O. Tirkkonen,
Towards Ultra-Reliable Signature Coding with Multiple Transmit Antennas,
In 2021 IEEE Vehicular Technology Conference - Spring.
DOI:10.1109/VTC2021-Spring51267.2021.9448780 . - T. Pllaha, N. Rengaswamy, O. Tirkkonen, R. Calderbank, Un-Weyl-ing the Clifford Hierarchy, Quantum, vol. 4, no. 370, December 2020 (13 pages, double column).
- M. Allaix, L. Holzbaur, T. Pllaha, C. Hollanti, Quantum Private Information Retrieval From Coded and Colluding Servers, IEEE Journal on Selected Areas in Information Theory, pp. 1(2), 599-610, August 2020.
- T. Pllaha, O. Tirkkonen, R. Calderbank, Reconstruction of Multi-user Binary Subspace Chirps, In 2020 IEEE International Symposium on Information Theory, pp. 531-536.
- M. Allaix, L. Holzbaur, T. Pllaha, C. Hollanti, Quantum Private Information Retrieval from MDS-coded and Colluding Servers, In 2020 IEEE International Symposium on Information Theory, pp. 1059-1064.
- T. Pllaha, Symplectic Isometries of Stabilizer Codes, Journal of Algebra and its Applications, 19(2):2050021, 2020 (22 pages).
- H. Gluesing-Luerssen, T. Pllaha, On Quantum Stabilizer Codes Derived from Local Frobenius Rings, Finite Fields and Their Applications, 58, 2019, pp. 145-173.
- H. Gluesing-Luerssen, T. Pllaha, Extension Theorems for Various Weight Functions over Frobenius Bimodules, Journal of Algebra and its Applications, 17(3):1850052, 2018 (28 pages).
- T. Pllaha, Equivalence of Classical and Quantum Codes, PhD Thesis, University of Kentucky, February 2019.