This Week in Mathematics

Department of Mathematics

This Week in Mathematics


<< Back to Current Week [2026-02-01 - 2026-02-07]	>> Beyond Next Week [2026-02-14+]

<< View Previously Scheduled Events

Next Week [Feb 08, 2026 - Feb 14, 2026]

Entries for this week: 3

Tuesday February 10, 2026

Applied and Computational Mathematics
- Bryan Quaife, Florida State University
Time: 3:05 Room: 231

Thursday February 12, 2026

Algebra seminar
The Catalan Numbers
- Ahmer Khan, FSU
Time: 3:05pm Room: LOV 0232
Abstract/Desc: The Catalan numbers form a ubiquitous sequence in combinatorics, counting a rich variety of objects. In this talk, we will explore the fundamental ideas that explain this ubiquity. We first present a classical probability problem from the 'Green Book' where the Catalan numbers arise naturally and then show the first of a few important bijections between the various objects that the Catalan numbers count. We then introduce the basic recurrence and derive the closed-form formula via generating functions. Finally, we present a more elegant solution using the reflection principle for random walks. Time permitting, we will discuss additional distinct 'Catalan' objects and their algebraic and combinatorial significance.

Friday February 13, 2026

Mathematics Colloquium [url]
Analysis and Control in Poroelastic Systems with Applications to Biomedicine
- Lorena Bociu, NC State
Time: 3:05 Room: Lov 101
Abstract/Desc: In biomechanics, local phenomena, such as tissue perfusion, are strictly related to the global features of the surrounding blood circulation. We propose a heterogeneous model where a local, accurate, 3D description of fluid flows through deformable porous media by means of poroelastic systems is coupled with a systemic 0D lumped model of the remainder of the circulation. This represents a multiscale strategy, which couples an initial boundary value problem to be used in a specific region with an initial value problem for the rest of the circulatory system. We present new results on wellposedness analysis, optimal control and solution methods for this nonlinear multiscale interface coupling of PDEs and ODEs. Our results have applications in biomedicine and bioengineering, including tissue perfusion, fluid flow inside cartilages and bones, and design of bioartificial organs.

Problems? Email webmaster@math.fsu.edu.

February