Assistant Professor, Department of Mathematics and Statistics, McGill UniversityEmail: michael "dot" lipnowski "at" mcgill "dot" ca
Office: Burnside 1107
I am currently an Assistant Professor in the McGill University Department of Mathematics and Statistics. My thesis advisor was Akshay Venkatesh. My research interests include
number theory, representation theory, and automorphic forms.Here are my CV and publication list.
PapersCompleted- The Seiberg-Witten equations and the length spectrum of hyperbolic 3-manifolds, with Francesco Lin. Submitted.
- How large is A_g(F_q)?, with Jacob Tsimerman. Duke Math Journal (2018).
- Geometry of the smallest 1-form eigenvalue on hyperbolic manifolds, with Mark Stern. GAFA (2018).
- Cohen Lenstra Heuristics for Étale Group Schemes and Symplectic Pairings, with Jacob Tsimerman. Compositio Mathematica, accepted for publication.
- Detecting large simple rational Hecke modules for Γ_0(N) via congruences, with George Schaeffer. IMRN, accepted for publication.
- On Bhargava's heuristics for GL_2(F_p)-number fields and the number of elliptic curves of bounded conductor. Experimental Mathematics, accepted for publication.
- Twisted limit formula for torsion and cyclic base change, with Nicolas Bergeron. Journal de'l École polytechnique - Mathématiques (2017).
- Equivariant torsion and base change. Algebra and Number Theory (2015).
- The equivariant Cheeger-Muller theorem on locally symmetric spaces. JIMJ (2016).
In preparation- Algorithms for the topology of arithmetic groups and Hecke actions, with Aurel Page. Slides 1, Slides 2, Summary.
- On the Cohen-Lenstra heuristics in the presence of roots of unity, with Will Sawin and Jacob Tsimerman. Summary.
- Polarization counting for abelian varieties over finite fields, with Jacob Tsimerman. Summary.
- Growth of torsion for weight 1 modular forms, with Gerard Freixas i Montplet and George Schaeffer. Summary.
Expository WritingsBelow are informal notes written to accompany lectures that I presented for various
installments of Stanford's number theory learning seminar.
## Teaching |