Office | MS 6603 |

Office Hours | Drop-in or by appointment |

iacoley at math dot ucla dot edu |

- Teaching
- Fall 2018: Math 495 (TA Consultant)
- Summer 2018: Math GRE Bootcamp
- Spring 2018: LS30B
- Winter 2018: Math 32BH (instructor)
- Fall 2017: Math 32AH (instructor)
- Summer 2017: Math 32A (instructor)
- Spring 2017: Math 31B and Math 210C
- Winter 2017: Math 32BH and Math 210B
- Fall 2016: Math 32AH and Math 210A
- Summer 2016: Math 31B and Math GRE Bootcamp
- Winter 2016: Math 110A
- Fall 2015: Math 31A
- Spring 2015: Math 31B and Math 210C.
- Winter 2015: Math 31A and Math 210B.
- Fall 2014: Math 31B and Math 115A.

- Resources for Undergraduates
- Modeling Life (LS30) on the go!
- Rogawski on the go used to be available, until the publisher noticed!
- Folland on the go!
- Math GRE Bootcamp website, updated for Summer 2018

- Research Interests
- Derivators and Homotopy Theory
- Higher Algebraic K-Theory

- Papers
- Stabilization of derivators, arXiv:1802.04343. To appear in Journal of Homotopy and Related Structures.
- 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

- 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)
- Math 210, Algebra: Fall 2013, Winter 2014.
- Math 225, Differential Topology/Geometry: Fall 2013, Winter 2014.
- Algebra Qualifying Exam Solutions, Fall 2009 - Spring 2014. (PDF File)
- Geometry/Topology Qualifying Exam Solutions, Spring 2008 - Spring 2014. (PDF File)
- Some Solutions to Ravi Vakil's Foundations of Algebraic Geometry. (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)

- Virgil's
- About Me
- My (Undergraduate) Resume (Updated December 2016)
- My (Graduate) CV (Updated July 2018)