This Week in Mathematics


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Entries for this week: 4

Tuesday March 24, 2026

Applied and Computational Math Seminar [url]
Non-Abelian magic in quantum error correction
- Yanzhu Chen, Physics
Time: 3:05pm Room: LOV 231
Abstract/Desc: Quantum computing has the potential to enable capabilities beyond those of classical computing, yet quantum information itself is inherently fragile and highly susceptible to errors. Quantum error correction technologies have thus been developed to provide fault tolerance in computation. In universal fault‑tolerant quantum computing, logical non‑Clifford gates are essential, but their realization often requires substantial spacetime overhead in many error‑correcting codes, including the high‑threshold surface code. In this talk, I will first introduce the idea of quantum error correction, stabilizer codes, and universal quantum computing. Then I will provide an overview of our recent work on two strategies of implementing logical non-Clifford operations in the surface code with the aid of non-Abelian topological order, which bypass the need for the resource-intensive distillation procedure. The first method produces a logical magic state through transformations of topological codes. In the second approach we generalize the standard lattice surgery to hybrid lattice surgery across different topological codes.

Wednesday March 25, 2026

Biomathematics Journal Club
Network Organization Unfolds Over Time During Periods of Anxious Anticipation
- Sarah Romero, FSU
Time: 5:00 Room: Dirac Library

Thursday March 26, 2026

PhD Candidacy
Opinion perception reshapes infectious disease spread
- Afolabi Ariwayo,
Time: 10:00 AM Room: 204
Abstract/Desc: Collective perception of risk and socially reinforced opinions can strongly influence the spread of infectious diseases in a networked population. The proposed framework describes the dynamics of protective opinions through mechanisms of adoption, social reinforcement, and forgetting (or relaxation), capturing how individuals learn from and retain past social influence. Interactions occur on a contact network represented by an adjacency matrix, allowing both epidemic transmission and opinion exchange to follow the same underlying structure. Using a degree-based approximation, a reduced model is derived that describes the evolution of the average perceived risk across the network. Stability analysis of the disease-free and endemic equilibria reveals how opinion-driven feedback can modify epidemic thresholds. When the opinion dynamics are coupled with a classical epidemic model, collective perception can fundamentally reshape disease progression. In particular, the system can exhibit bistability and hysteresis, indicating that disease prevalence depends not only on current conditions but also on the historical trajectory of opinion formation. This memory effect arises when the tendency of a population to adopt protective opinions is sufficiently strong, when social reinforcement within communities is pronounced, or when both mechanisms act simultaneously. These findings highlight the role of perception, learning, and memory in shaping epidemic outcomes and provide insight into feedback mechanisms linking behavioral responses and disease dynamics.

Algebra seminar
Unstable Motivic Operations on Algebraic K-theory
- Hung-Chun Yu, FSU
Time: 3:05pm Room: LOV 0232
Abstract/Desc: In this talk, we extend operations on algebraic K-theory spaces from smooth affine schemes to qcqs derived schemes and compare this extension with the existing constructions of Cisinski and Zanchetta. We also give an explicit construction of $\lambda$-operations on algebraic K-theory spaces. This is a joint work with Ettore Aldrovandi (FSU) and Adeel Khan (Academia Sinica).

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Department of Mathematics

This Week in Mathematics