Brent Cody
Assistant Professor
Department of Mathematics and Applied Mathematics
Virginia Commonwealth University
Harris Hall, Room 4160
bmcody@vcu.edu
My research is in the field of set theory and involves using forcing and large cardinals to prove that certain statements are independent of the axioms of mathematics, ZFC. For more information see below.
We hosted a MAMLS meeting at VCU on April 1 & 2, 2017. Thanks to Arthur Apter and Hugh Woodin for their generous support.
See the VCU Analysis, Logic and Physics Seminar (ALPS) website for upcoming talks.
Currently, I am an Assistant Professor at Virginia Commonwealth University in the Department of Mathematics. Previously, I was a Visiting Assistant Professor at VCU, a postdoc at the Fields Institute for Research in Mathematical Sciences during the Thematic Program on Forcing and its Applications (Fall 2012). I was also a postdoc with Maxim Burke at the University of Prince Edward Island in PEI, Canada (Spring 2013).
I got my Ph.D. with Joel D. Hamkins at the CUNY Graduate Center.
Here are some notes from a course in model theory, which I taught jointly with Sean Cox, and which was offered in the spring of 2014 at VCU.

2. Publications
• Characterizations of the weakly compact ideal on $$P_\kappa\lambda$$. (submitted - [arxiv], [pdf])
• (with Hiroshi Sakai) The weakly compact reflection principle need not imply a high order of weak compactness (submitted - [arxiv], pdf])
• Adding a non-reflecting weakly compact set. (submitted - [arxiv], [pdf])
• (with Monroe Eskew) Rigid ideals, Israel Journal of Mathematics, 224 no. 1, 343-366, 2018 ([arxiv], [pdf], [journal])
• (with Sean Cox) Indestructibility of generically strong cardinals, Fundamenta Mathematicae, 232 (2):131-149, 2016 ([arxiv], [pdf] or [journal])
• (with Moti Gitik, Joel David Hamkins, and Jason Shanker) The least weakly compact cardinal can be unfoldable, weakly measurable and nearly $$\theta$$-supercompact, Archive for Mathematical Logic, 54 (5-6):491-510, 2015 ([arxiv], [pdf] or [journal])
• (with Victoria Gitman) Easton's theorem for Ramsey and strongly Ramsey cardinals, Annals of Pure and Applied Logic 166 (9):934-952, 2015. ([arxiv], [pdf] or [journal])
• (with Sy Friedman and Radek Honzik) Easton functions and supercompactness, Fundamenta Mathematicae, 226 (3):279-296, 2014. ([arxiv], [pdf] or [journal])
• (with Menachem Magidor) On Supercompactness and the continuum function, Annals of Pure and Applied Logic, 165 (2):620-630, 2014. ([arxiv], [pdf] or [journal])
• Easton's Theorem in the presence of Woodin cardinals, Archive for Mathematical Logic, 52 (5-6):569-591, 2013. ([arxiv], [pdf] or [journal])
• (with A. W. Apter) Consecutive singular cardinals and the continuum function, Notre Dame Journal of Formal Logic, 54 (2):125-136, 2013. ([arxiv], [pdf] or [journal])
• The failure of GCH at a degree of supercompactness, Mathematical Logic Quarterly, 58 (1-2):83-94, 2012. ([arxiv], [pdf] or [journal])

3. Teaching
Courses taught at Virginia Commonwealth University:

Fall 2018

• Math 697 - Directed Research (Set Theory: Forcing)
• Math 310 - Linear Algebra
• Math 409 - Topology
Spring 2018

• Math 697 - Directed Research (Set Theory: Forcing)
• Math 490 - Mathematical Expositions
• Math 602 - Abstract Algebra II
Fall 2017

• Math 409 - Topology
• Math 490 - Mathematical Expositions
Spring 2017

• Math 591 - Ultrafilters and Applications
Fall 2016

• Math 300 - Introduction to Mathematical Reasoning
• Math 409 - Topology
Spring 2016

• Math 310 - Linear Algebra
• Math 490 - Mathematical Expositions
Fall 2015

• Math 201 - Calculus II
• Math 300 - Intro. to Mathematical Reasoning
Spring 2015

• Math 201 - Calculus II
• Math 490 - Mathematical Expositions
• Math 492 - Independent Study (Computability Theory and Gödel's Incompleteness Theorems)
Fall 2014

• Math 201 - Calculus II
• Math 490 - Mathematical Expositions
• Math 492 - Independent Study (Set Theory)
Spring 2014

• Math 201 - Calculus II
• Math 490 - Mathematical Expositions (taught jointly with Sean Cox)
• Math 591 - Topics Course: Logic and Mathematical Structures (taught jointly with Sean Cox) (notes)
• Math 492 - Independent Study (Set Theory)
Fall 2013

• Math 201 - Calculus II
• Math 300 - Introduction to Mathematical Reasoning