# Mathematics Department

Last updated: 2020/09/20 - 2:12pm

#### Generalized soap bubbles and the topology of manifolds with positive scalar curvature

##### Chao Li (Princeton University, Mathematics)
Monday, September 21 - 3:15 pm

It has been a classical question which manifolds admit Riemannian metrics with positive scalar curvature. I will present some recent progress on this question, ruling out positive scalar curvature on...

#### Using homotopy continuation to solve parametrized polynomial systems in applications

##### Margaret Regan (Duke, Math)
Monday, September 21 - 4:30 pm
Zoom

Many problems that arise in mathematics, science, and engineering can be formulated as solving a parameterized system of polynomial equations which must be solved for given instances of the parameters...

#### TBD

##### Chung-Ru Lee
Wednesday, September 23 - 3:15 pm
Physics 119

#### Stochastic persistence and extinction

##### Alex Hening (Tufts)
Thursday, September 24 - 3:15 pm

A key question in population biology is understanding the conditions under which the species of an ecosystem persist or go extinct. Theoretical and empirical studies have shown that persistence can be...

#### Modeling and measuring pattern formation in zebrafish skin

##### Alexandria Volkening (Northwestern University, NSF–Simons Center for Quantitative Biology; Engineering Sciences & Applied Mathematics)
Friday, September 25 - 12:00 pm
Online

Wild-type zebrafish (Danio rerio) are characterized by black and yellow stripes, which form on their body and fins due to the self-organization of thousands of pigment cells. Mutant zebrafish and...

#### Incidence estimates for tubes with application to Fourier analysis

##### Hong Wang (IAS)
Friday, September 25 - 12:00 pm
Physics 119

If $\mathbb{T}$ is a collection of distinct tubes of length $N$, radius 1 and $P$ is a collection of disjoint unit balls, what is the largest size of their incidences \(I(P, \mathbb{T})=\{(p, T...

#### TBA

##### Yiming Zhong (Duke, Math)
Monday, September 28 - 4:45 pm
Zoom

#### TBA

##### Cole Graham (Stanford)
Tuesday, September 29 - 3:15 pm
Physics 119

#### TBD

##### Chen An
Wednesday, September 30 - 3:15 pm
Physics 119

#### Motion by mean curvature in interacting particle systems

##### Zoe Haung (Duke, math)
Thursday, October 1 - 3:15 pm