Erick Knight E-mail:  eknight[at]math[dot]toronto[dot]edu I am currently a postdoc at the University of Toronto. My advisor was Mark Kisin. I will be a postdoc at the University of Waterloo starting in the 2020-2021 academic year. My primary research interest is the p-adic Langlands Program, emphasizing aspects related to the Jacquet-Langlands correspondence. Recently, I have also gotten interested in some "l = p" aspects of Cohen-Lenstra heuristics.

Research articles

• The ζ₃-Pell Equation, preprint (with Stanley Xiao)
  
• Appendix to Binary Quartic Forms with Vanishing J-invariant (paper by Stanley Xiao)
  
• Three-Torsion in the Class Group of Certian Cyclic Cubic Extensions, preprint (with Abtien Javanpeykar and Peter Stevenhagen)
  
  
• A Conjectural Locally Analytic Jacquet-Langlands Correspondence, in preparation (with Sean Howe)
  
• A p-adic Jacquet-Langlands Correspondence, preprint .
  
• There are no Interesting Modular Forms of Level Γ₀(16), preprint
  

Teaching

At Harvard:
• Summer 2014: Summer Tutorial on Mathemaical Origami
• Fall 2014: Math 21a Multivariable Calculus
• Summer 2015: Summer Tutorial on Combinatorial Game Theory
• Fall 2015: Math 21a Multivariable Calculus.
At Toronto:
• Fall 2017 and Spring 2018: MAT237Y1: Multivariable Calculus
• Fall 2018 and Spring 2019: MAT237Y1: Multivariable Calculus
• Summer 2018: Reading Course on Differential Forms in Algebraic Topology
• Fall 2019 and Spring 2020: MAT237Y1: Multivariable Calculus

People

Here is a list of collaborators and friends:
• Sean Howe
• Ananth Shankar
• Rong Zhou
• Yihang Zhu