Research
Probability Theory, Combinatorics, Mathematical Physics, Mathematical Foundations of Microbial Ecology, Statistics for Environmental and Ocean Sciences, Applied Probability and Statistics (Engineering)
Interests
Natasha Blitvic is interested in mathematics research accross disciplinary boundaries, particularly in integrative approaches that draw strength from both theory development and close collaboration with other disciplines.
As a pure mathematician working on foundational questions in probability theory, her research seeks to characterize two classes of probabilistic phenomena: positivity — that is, ways in which probabilistic intuition carries over to unexpected settings, such as algebra or combinatorics — and universality, according to which certain probabilistic structures tend to recur in multiple, seemingly unrelated scenarios.
More recently, NB has also been working on probabilistic and statistical frameworks to describe large-scale consequences of small-scale fluctuations/interactions to bear on scaling problems of marine microbial ecology. She is interested axiomatizing and developing theoretical and experimental frameworks to understand the scaling of marine microbial interactions and describe their cumulative impacts on the marine ecosystem and ultimately the climate. In 2024-2025, NB was a Simons Foundation Pivot Fellow at ETH Zurich.
Beyond her own research, NB has a longstanding interest in how research environments
can enable and support individuals to produce creative, high-impact work, particularly when departing from traditional discipline boundaries or workflows, and incorporating diverse career paths and cognitive approaches. In 2025, she took part in the REF 2029 People, Culture and Environment Pilot. She presently serves on the EPSRC Mathematical Sciences Strategic Advisory Team and is a Strategy, People and Research Environment Expert for REF 2029.
Publications

Publications of specific relevance to the Centre for Complex Systems
2026
Permutations, Pattern Covers, Posets and Positivity, Part I: Patterns and PosetsBlitvic N Kammoun MS Steingr\\'imsson E
21-10-2026
Stochastic resilience enables particle foraging in oligotrophic marine environmentsFernandez VI Blitvić N Keegstra JM Stocker R
Proceedings of The National Academy of Sciences of The United States of America,
Proceedings of The National Academy of Sciences vol. 123 (11)
09-03-2026
Colored interlacing triangles and Genocchi medians 04-02-20262025
Statistics on monotonically ordered non-crossing partitionsBlitvic N Bray T Campbell J Nica A
27-10-2025
Fluid flow generates bacterial conjugation hot spots by increasing the rate of shear-driven cell–cell encountersZbinden M Huisman JS Blitvic N Stocker R Słomka J
Proceedings of The National Academy of Sciences of The United States of America,
Proceedings of The National Academy of Sciences vol. 122 (32)
06-08-20252023
A new perspective on positivity in (consecutive) permutation patternsBlitvic N Kammoun MS Steingrimsson E
Formal Power Series and Algebraic Combinatorics.
21-07-20232021
Permutations, Moments, MeasuresBlitvić N Steingrímsson E
Transactions of The American Mathematical Society,
American Mathematical Society (Ams) vol. 374 (08), 5473-5508.
07-05-20212020
Aging a little: On the optimality of limited senescence in Escherichia coliBlitvić N Fernandez VI
Journal of Theoretical Biology,
Elsevier vol. 502
19-05-20202019
Type B Gaussian statistics as noncommutative central limitsBlitvić N Ejsmont W
Journal of Mathematical Analysis and Applications,
Elsevier vol. 480 (2)
01-12-20192014
Two-parameter non-commutative Central Limit TheoremBlitvić N
Annales De L Institut Henri Poincaré ProbabilitéS Et Statistiques,
Institute of Mathematical Statistics vol. 50 (4), 1456-1473.
01-11-2014
Stabilized-interval-free permutations and chord-connected permutationsBlitvic N
Discrete Mathematics and Theoretical Computer Science., 801-813.
01-01-20142012
The (q,t)-Gaussian processBlitvić N
Journal of Functional Analysis,
Elsevier vol. 263 (10), 3270-3305.
01-11-20122009
Channel Coding for High-Speed Links: A Systematic Look at Code Performance and System SimulationBlitvic N Lee M Stojanovic V
IEEE Transactions on Advanced Packaging,
Institute of Electrical and Electronics Engineers (IEEE) vol. 32 (2), 268-279.
01-05-20092008
Low-complexity Pattern-eliminating Codes for ISI-limited ChannelsBlitvic N Zheng L Stojanovic V
2008 IEEE International Conference on Communications., 1214-1219.
01-01-20082007
Statistical Simulator for Block Coded Channels with Long Residual InterferenceBlitvic N Stojanovic V
2007 IEEE International Conference on Communications., 6287-6294.
01-06-2007