Anthony McCormick, Pure Mathematics, University of Waterloo
"Algebraic Groups"
Hongdi Huang, Pure Mathematics, University of Waterloo
"On *-clean group algebras"
A ring $R$ is called a $*$-ring (or a ring with involution $*$) if there exists an operation $*$: $R \rightarrow R$ such that $(x+y)^*=x^*+y^*, \,\ (xy)^*=y^*x^* \,\ $ and $(x^*)^*=x$,
for all $x, y\in R$. An element in a ring $R$ is called $*$-clean if it is the sum of a unit and a projection ($*$-invariant idempotent). A $*$-ring is called $*$-clean if each of its elements is the sum of a unit and a projection.
Ken Dykema, Texas A & M University
"Commuting operators in finite von Neumann algebras"
We find a joint spectral distribution measure for families
of commuting elements of a finite von Neumann algebra. This
generalizes the Brown measure for single operators. Furthermore, we
find a lattice (based on Borel sets) consisting of hyperinvariant
projections that decompose the spectral distribution measure. This
leads to simultaneous upper triangularization results for commuting
operators.
Tristan Freiberg, Pure Mathematics, University of Waterloo
"Distribution of primes in intervals"
Nickolas Rollick, Pure Mathematics, University of Waterloo
"Message Re-Sheaved"
Fan Ge, Pure Mathematics, University of Waterloo
"The number of zeros of $\zeta'(s)$
Dhruv Ranganathan
MIT
"Moduli of Elliptic Curves in Toric Varieties and Tropical Geometry"
Eli Shamovich, Pure Mathematics, University of Waterloo
"Free Function Theory on the Noncommutative Ball"
Dennis The, The University of Tromso
"Exceptionally simple PDE"
Jitendra Prakash, Pure Mathematics, University of Waterloo
"Tsirelson's problems and entanglement breaking rank"