Ruizhang Jin, Department of Pure Mathematics, University of Waterloo
"Constructing Analyzable Types in Differentially Closed Fields with Logarithmic Derivatives"
Julia Brandes, Department of Pure Mathematics, University of Waterloo
"Optimal mean value estimates beyond Vinogradov's mean value theorem"
Sascha Troscheit, Department of Pure Mathematics, University of Waterloo
"Random fractals, their dimensions and measures"
Rasul Shafikov, Western University
"Polynomial and rational density on compact real manifolds"
I will discuss some recent results concerning approximation of continuous complex-valued functions on abstract compact real manifolds by polynomial and rational combinations of a certain number of smooth functions on them. Somewhat surprisingly, the proofs use deep ideas from complex analysis to symplectic topology.
MC 5501
Mohammad Mahmoud, Department of Pure Mathematics, University of Waterloo
"The Jump of a Structure"
Given a structure $\mathcal{A}$, we define another structure $\mathcal{A}'$ (in a different language) which we call the jump of $\mathcal{A}$. The main idea from the definition is to have that the first jump degree spectrum of $\mathcal{A}$ is exactly the degree spectrum of $\mathcal{A}$.
Remi Jaoui, Department of Pure Mathematics, University of Waterloo
"On the model theory of geodesic differential equations I"
Geodesy is an old and well-established subject in mathematics. Given a smooth manifold $S$ embedded in the Euclidean space $\mathbb R^n$ and two points on $S$, the main question is to determine the shortest path (geodesic) drawn on $S$ joining these two points.
Achim Kempf, Department of Applied Mathematics, University of Waterloo
"Amplified foreshadowing of jumping champions"
Matthew Harrison-Trainor, Department of Pure Mathematics, University of Waterloo
"Some Computable Structure Theory of Finitely Generated Structures"
Chi-Kwong Li, College of William and Mary, and Institute for Quantum Computing, University of Waterloo (affiliate member)
"Numerical Ranges and Dilation"
In this talk, we present some results concerning the use of numerical ranges to study dilation theory of operators. Connections of the study to quantum information science will be mentioned. Open problems will be discussed.
MC 5417
Nickolas Rollick, Pure Mathematics, University of Waterloo
"Message Re-Sheaved"