Curriculum Guidelines for Undergraduate Programs in Data Science

The Park City Math Institute (PCMI) 2016 Summer Undergraduate Faculty Program met for the purpose of composing guidelines for undergraduate programs in Data Science. The group consisted of 25 undergraduate faculty from a variety of institutions in the U.S., primarily from the disciplines of mathematics, statistics and computer science. These guidelines are meant to provide some structure for institutions planning for or revising a major in Data Science

Curriculum Guidelines for Undergraduate Programs in Data Science

The Park City Math Institute 2016 Summer Undergraduate Faculty Program met for the purpose of composing guidelines for undergraduate programs in data science. The group consisted of 25 undergraduate faculty from a variety of institutions in the United States, primarily from the disciplines of mathematics, statistics, and computer science. These guidelines are meant to provide some structure for institutions planning for or revising a major in data science

On real Johnson-Wilson theories

The central object of study in this thesis is a family of generalized cohomology theories ER(n), known as real Johnson-Wilson theories. These theories arise as the homotopy fixed points of the classical Johnson-Wilson theories E(n) under the Z/2-action of complex conjugation. The classical Johnson-Wilson theories E(n) are closely related to another family E_n of cohomology theories, the so-called Lubin-Tate or Morava E-theories. A purely obstruction-theoretic argument given by Hopkins and Miller [Rez98] shows that the E_n admit an action of the Morava stabilizer group of automorphisms of the height n Honda formal group law. We relate the real Johnson-Wilson theories ER(n) to homotopy fixed points of the Morava E- theories En under an action by a certain subgroup of the Morava stabilizer group. In doing so, we obtain a calculation of the coefficients of the homotopy fixed points of E_n for this subgroup and as a corollary we see that after completion the ER(n) are commutative S-algebras (i.e. E_infinity-ring theories). We work entirely at the prime