5 papers
Problems in Arithmetic Topology
Claudio Gómez-Gonzáles, Jesse Wolfson
We present a list of problems in arithmetic topology posed at the June 2019 PIMS/NSF workshop on "Arithmetic Topology". Three problem sessions were hosted during the workshop in wh…
Tschirnhaus transformations after Hilbert
Jesse Wolfson
Let RD(n) denote the minimum d for which there exists a formula for the roots of the general degree n polynomial using only algebraic functions of d or fewer variables. In 1927, Hi…
Modular functions and resolvent problems
Benson Farb, Mark Kisin, Jesse Wolfson. Appendix by Nate Harman
The link between modular functions and algebraic functions was a driving force behind the 19th century study of both. Examples include the solutions by Hermite and Klein of the qui…
The -structure of the index map
Oliver Braunling, Michael Groechenig, Jesse Wolfson
Let be a local field with residue field . The classifying space of comes canonically equipped with a map to the delooping of the -theory space of . Passing t…
Resolvent degree, Hilbert's 13th Problem and geometry
Benson Farb, Jesse Wolfson
We develop the theory of resolvent degree, introduced by Brauer \cite{Br} in order to study the complexity of formulas for roots of polynomials and to give a precise formulation of…