Chris Jankowski
Email: cjankows [at] math.upenn.edu
Office: DRL, Room 3C9
Office Phone: 8-2947
Teaching
Spring 2012: Math 104
Fall 2011: Math 240
and Math 320 .
Research
I work in Operator Algebras. With Bob Powers as my advisor,
I received my Ph.D. from the University of Pennsylvania
in 2009. My main research
interest lies in constructing and
classifying E_0-semigroups (up to cocycle conjugacy), particularly those
of type II and index zero, using the theory of CP-flows and boundary weight maps. The comparison theory of
a particular class of completely positive maps has been central to this research so far.
In joint work, I have been working to
compute a fundamental invariant (the gauge group) for a family of E_0-semigroups, and I have
recently become interested in various notions of subordination for CP-flows and E_0-semigroups.
Check out my CV.
Papers
(with Daniel Markiewicz and Robert T. Powers)
E_0-semigroups and q-purity: boundary weight maps of range rank one and two, J. Funct. Anal., to appear.
Unital
q-positive maps on M_2(C) and cocycle conjugacy of E_0-semigroups, Houston J. Math., to appear.
A family of non-cocycle conjugate E_0-semigroups obtained from
boundary weight doubles, J. Operator Theory, to appear.
(with Daniel Markiewicz)
Gauge groups of E_0-semigroups obtained from Powers weights, Int. Math. Res. Not. IMRN (2011),
doi: 10.1093/imrn/rnr142, in press.
On type II_0 E_0-semigroups induced by boundary weight doubles,
J. Funct. Anal. 258 (2010), no. 10, 3413-3451.
(with Daniel Isaksen and Stephanie Proctor) On K_*-ultrahomogeneous graphs,
Ars. Combin. 82 (2007), 83-96.
Preprints
(with Daniel Markiewicz and Robert T. Powers)
Aligned CP-semigroups, submitted.
About Me
Born and raised in Louisville, Kentucky, I have been a sports fan my entire
coherent life. Aside of my oldest brother, who is an environmental engineer, I
am the only member of my family who does not dislike math. Most of my family currently
resides in Louisville, including five nephews (from whom I expect big things)
and a noble dog.
Slides of recent talks
Gauge groups of E_0-semigroups
A family of non-cocycle conjugate E_0-semigroups obtained from boundary weight doubles
Properties of q-positive maps and their relation to E_0-semigroups