Ian Coley

Teaching

• Fall 2019: Math 151
• My resources for the Math GRE Subject Test

Research Interests

• Derivators and Homotopy Theory
• Higher Algebraic K-Theory

Papers

• Stabilization of derivators, arXiv:1802.04343. Journal of Homotopy and Related Structures, 14 (2019), no. 2, 525-577.
• The K-theory of left pointed derivators. In preparation.

Presentations

• "Derivators as an enhancement of triangulated categories". Seminar of the Department of Algebra, Universidad de Sevilla, 10 July 2017
• "The K-theory of derivators". Recent developments in noncommutative algebra and related areas, University of Washington, 17 March 2018
• "A brief history of Algebraic K-theory". Seminar of the Department of Algebra, Universidad de Sevilla, 4 July 2018
• "The K-theory of derivators". K-theory ICM Satellite, Universidad de Buenos Aires, 27 July 2018
• "The K-theory of derivators". Topology Seminar, University of Chicago, 22 January 2019
• "The stabilization of pointed derivators". Workshop on Derivators, Universität Regensburg, 10 April 2019

Older stuff (Caveat lector! May contain errors, especially when noted.)

• An explicit construction of an expander family, Northwestern University Undergraduate Honours Thesis. (PDF file)
• Abelian Patterns and Periods, UNC Greensboro REU Presentation. (Beamer file)
• UCLA Algebra Qualifying Exam Solutions, Fall 2009 - Spring 2014. (PDF File)
• UCLA Geometry/Topology Qualifying Exam Solutions, Spring 2008 - Spring 2014. (PDF File)

Non-mathematical Papers

• Virgil's Aeneid in Neronian Literature, Joseph Clyde Murley Prize Honourable Mention 2013. (PDF file)
• Augustus, Ekphrasis, and the Shield of Aeneas, Joseph Clyde Murley Prize Winner 2012. (PDF file)
• Empowering LGBT Scientists, an article I wrote for the Medill Equal Media Project at Northwestern
• The simple sacral dimple: diagnostic yield of ultrasound in neonates, published in Pediatric Radiology. (PDF file)