# Brent Cody, Ph.D.

Associate Professor

Grace E. Harris Hall, 1015 Floyd Ave., room 4110

## Education

- Ph.D. in Mathematics, The City University of New York, Graduate Center, 2012 [Dissertation: “Some Results on Large Cardinals and the Continuum Function”; Adviser: Prof. Joel D. Hamkins]
- M.S. in Mathematics, University of Virginia, 2004
- B.S. in Mathematics, Virginia Commonwealth University, 2002
- B.S. in Physics, Virginia Commonwealth University, 2002

## Research Interests

Cody's research is in the area of set theory. Most of his recent work involves combinatorial principles and forcing constructions related to large cardinal properties such as Ramseyness, ineffability and indescribability. He has also worked on strong properties of successor cardinals that hold after collapsing large cardinals and on preserving large cardinals through Easton-support forcing iterations.

## Select Publications

- B. Cody, Sean Cox and Kayla Lee. Sparse analytic systems.
*Forum of Mathematics, Sigma*. - B. Cody. Higher indescribability and derived topologies.
*Journal of Mathematical Logic.* - B. Cody and Peter Holy. Ideal operators and higher indescribability.
*Journal of Symbolic Logic*, 88 (2):835-873, 2023. - B. Cody, Victoria Gitman and Chris Lambie-Hanson. Forcing a ▢(κ)-like principle to hold at a weakly compact cardinal.
*Annals of Pure and Applied Logic*, 172 (7): 26 pp, 2021. - B. Cody. A refinement of the Ramsey hierarchy via indescribability.
*Journal of Symbolic Logic*, 85 (2):773-808, 2020. - B. Cody and Monroe Eskew. Rigid ideals.
*Israel Journal of Mathematics*, 224 (1):343-366, 2018. - B. Cody and Menachem Magidor. On Supercompactness and the continuum function.
*Annals of Pure and Applied Logic*, 165 (2):620-630, 2014.

## Professional Appointments

- Associate Professor, Virginia Commonwealth University, Department of Mathematics and Applied Mathematics (Fall 2022 to present)
- Assistant Professor, Virginia Commonwealth University, Department of Mathematics and Applied Mathematics (Fall 2016 to Spring 2022)
- Visiting Assistant Professor, VCU Department of Mathematics and Applied Mathematics (Fall 2013 to Spring 2016)
- Postdoc, The University of Prince Edward Island (Spring 2012)
- Fields Postdoctoral Fellow at the Thematic Program on Forcing and its Applications (Fields Institute, July-December 2012)

## Awards

- VCU Seed Award (PI), 7/1/2023 - 5/31/2024 (est.), $5,000. Project title: The Mathematics and Music of Maximally Even Sets. CoPis: Neal Bushaw and Toby Whitaker.
- VCU Presidential Research Quest Fund (co-PI), 7/1/16-12/31/17, $40,000. Project title: Open problems in the foundations of mathematics. PI: Sean Cox, Co-PI: Monroe Eskew.

## Professional Activities

- Long Term Visitor at The Fields Institute for Research in Mathematical Sciences for the Thematic Program on Set Theoretic Methods in Algebra, Dynamics and Geometry (Spring 2023).