Nicholas Rupprecht

Ph.D. Student
Department of Mathematics
University of Michigan, Ann Arbor
2074 East Hall 530 Church St.
Ann Arbor, MI 48109
U.S.A.

Email: furikuri at umich dot edu
Office: 3852 East Hall
Phone: (734)-936-4557

Curriculum Vitae

Academics and Research

My research statement

I am a fifth-year graduate student and aim to finish my degree in the spring of 2010. My advisor is Andreas Blass. I am interested in the interaction between computability theory and set theory. Specifically, my thesis concerns sets of oracles of computation which are correspondents to the cardinal characteristics in Cichon's diagram, and the modification of set theoretic arguments to prove relationships between them. Topics of interest related to this include algorithmic randomness and genericity, effective measure theory, the role of forcing constructions in computability theory, reverse mathematics, and interactions between these topics.

Papers and Talks

Relativized Schnorr null sets with universal behavior. Submitted July 2009. Preprint

Effective Cichon's diagram. In preparation.

Notions of effectively null and their covering properties. Joint with Joseph S. Miller and Keng Meng (Selwyn) Ng. In preparation.

"Universal" Schnorr tests/"Universal" Schnorr null sets:

Presented at Recursion Theory Seminar, University of California, Berkeley, Feb. 2009

Presented at Southern Wisconsin Logic Colloquium, University of Wisconsin, Madison, Oct. 2009 (SLIDES)

To be presented at Logic Seminar, University of Chicago, Nov. 2009

To be presented at ASL Winter Meeting (with Joint Mathematics Meetings), San Francisco, California, Jan. 2010

To be presented at Logic Seminar, University of Notre Dame, Jan. 2010

Teaching

My teaching statement

Currently I teach Math 215 (Calc III), lecture section 70, lab sections 71-74. My office hours are:

Tuesday 9AM-10AM, 3852 East Hall

Wednesday 3PM-4PM, B735 East Hall

Thursday 2PM-3PM, Math Lab

In the past, I have taught Math 105 (Precalc) in Fall 2005, Math 115 (Calc I) in Winter 2006 and Fall 2006, and Math 116 (Calc II) in Winter 2007 and Summer 2008.