Dr Sophie Huczynska

Reader

Phone: +44 (0)1334 46 3711
Email: sh70@st-andrews.ac.uk
Office: 312 MI
Location: Mathematical Institute

Biography

Dr Huczynska joined the School in 2003, having obtained her PhD at the University of Glasgow and worked as a researcher at the University of Edinburgh. She held a Royal Society Dorothy Hodgkin Research Fellowship from 2004-2010, before becoming a Lecturer in 2010, Senior Lecturer in 2015 and Reader in 2023. She has worked part-time since 2008.

Research areas

My research interests are in the area of combinatorics and finite fields. One of my main current research activities concerns the application of combinatorial structures (particularly external difference families and their generalizations) to coding theory and cryptography. I am also interested in how combinatorial objects such as graphs, digraphs and permutations may be viewed as relational structures.

More information about my research may be found on my personal website https://shuczynska.github.io/index.html

PhD supervision

Laura Johnson

Selected publications

Open access

New constructions for disjoint partial difference families and external partial difference families
Huczynska, S. & Johnson, L., Apr 2024, In: Journal of Combinatorial Designs. 32, 4, p. 190-213 24 p.
Research output: Contribution to journal › Article › peer-review
Open access

Internal and external partial difference families and cyclotomy
Huczynska, S. & Johnson, L., 1 Mar 2023, In: Discrete Mathematics. 346, 3, 24 p., 113295.
Research output: Contribution to journal › Article › peer-review
Open access

Strong external difference families in abelian and non-abelian groups
Huczynska, S., Jefferson, C. & Nepšinská, S., Mar 2021, In: Cryptography and Communications . 13, 2, p. 331–341 11 p.
Research output: Contribution to journal › Article › peer-review
Open access

Characterising bimodal collections of sets in finite groups
Huczynska, S. & Paterson, M., 9 Jul 2019, (E-pub ahead of print) In: Archiv der Mathematik. First Online, 10 p.
Research output: Contribution to journal › Article › peer-review
Open access

Weighted external difference families and R-optimal AMD codes
Huczynska, S. & Paterson, M., Mar 2019, In: Discrete Mathematics. 342, 3, p. 855-867
Research output: Contribution to journal › Article › peer-review
Open access

Existence and non-existence results for strong external difference families
Huczynska, S. & Paterson, M. B., Jan 2018, In: Discrete Mathematics. 341, 1, p. 87-95
Research output: Contribution to journal › Article › peer-review
Open access

Near-complete external difference families
Davis, J. A., Huczynska, S. & Mullen, G. L., Sept 2017, In: Designs, Codes and Cryptography. 84, 3, p. 415-424 10 p.
Research output: Contribution to journal › Article › peer-review
Open access

On well quasi-order of graph classes under homomorphic image orderings
Huczynska, S. & Ruškuc, N., Jun 2017, In: European Journal of Combinatorics. 63, p. 164-175 12 p.
Research output: Contribution to journal › Article › peer-review
Open access

Homomorphic image orders on combinatorial structures
Huczynska, S. & Ruskuc, N., Jul 2015, In: Order. 32, 2, p. 205-226 22 p.
Research output: Contribution to journal › Article › peer-review
Open access

Well quasi-order in combinatorics: embeddings and homomorphisms
Huczynska, S. & Ruskuc, N., Jul 2015, Surveys in Combinatorics 2015. Czumaj et al., A. (ed.). Cambridge: Cambridge University Press, p. 261-293 (London Mathematical Society Lecture Note Series; no. 424).
Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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