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Yash Singh, Department of Pure Mathematics, University of Waterloo

"Supersingular reduction of elliptic curves"

We study reductions of elliptic curves modulo p and the phenomenon of supersingular reductions. Time permitting, we will prove a landmark theorem of Elkies in this vein.

MC 5403

Sean Monahan, Department of Pure Mathematics, University of Waterloo

"Contracting the other rays in NE(X) for horospherical X"

I plan to continue from last time on contracting extremal rays in NE(X). This time, we will see how to contract the curve classes coming from walls in the coloured fan for X. So the plan is to touch on section 3.6 and then move to section 4.6 in Brion’s paper “Variétés sphériques et théorie de Mori”. If there is time, I will start the other material in section 4: flips.

Yuming Zhao, Department of Pure Mathematics, University of Waterloo

"An operator algebraic formulation of self-testing"

Liam Orovec, Department of Pure Mathematics, University of Waterloo

"Unique Representations of Real Numbers in Non-Integer Bases"

Rachael Alvir, Department of Pure Mathematics, University of Waterloo

"Effectively closed sets - Part VI"

An effectively closed set (or $\Pi^0_1$ class) in Baire space $\omega^\omega$ is the set $[T]$ of infinite branches through a computable tree $T$. This semester in the computability seminar, we will be studying $\Pi^0_1$ classes from Cenzer \& Remmel's textbook. This week we will start proving an effective version of the perfect set theorem.

MC 5403

Eric Boulter, Department of Pure Mathematics, University of Waterloo

"Co-isotropic foliations in holomorphic symplectic manifolds"

Xiao Zhong, Department of Pure Mathematics, University of Waterloo

"Dynamical Cancellation of Polynomials"

Luca Di Cerbo, University of Florida

"Complex structures on 4-manifolds"

Natasha Dobrinen, University of Notre Dame

"Infinite-dimensional Ramsey theory for binary relational free amalgamation classes"

Jason Lotay, Oxford University

"Minimal Lagrangians and where to find them"