Hill Assistant Professor of Mathematics

Rutgers University Department of Mathematics

Piscataway, NJ 08854-8019

Office | Hill 232 / The Internet |

Office Hours | 2 - 4p, Thursday in Hill 232 |

iacoley at math dot rutgers dot edu |

- Teaching
- Spring 2022: Math 535
- Fall 2021: Math 251H, Math 311
- Summer 2021: GRE Math Subject Workshop 2021
- Spring 2021: Math 311, Math 560
- Fall 2020: Math 136
- Spring 2020: Math 351
- Fall 2019: Math 151
- My resources for the Math GRE Subject Test

- Resume/CV
- Seminars
- Rutgers Postdoc Colloquium, not currently running for Spring 2022
- Algebra and Geometry Learning Seminar (AnGeLS), Thursday 5:30 - 7p, Hill 705
- Rutgers Algebra Seminar, Wednesday 2 - 3:20p, Hill 705
- Princeton Algebraic Topology Seminar, Thursday 1 - 2p

- Math Social Media / Organisations
- Algebraic Topology Discord
- Algebraic Geometry Discord
- Category Theory Zulip. Email me for an invite link -- no permanent ones available
- MathOverflow Homotopy Theory Chatroom
- Spectra, the association of LGBTQ mathematicians
- Just Mathematics Collective

- Research Interests
- Derivators and abstract homotopy theory
- Higher Algebraic K-Theory and category theory

- Papers
- Stabilization of derivators revisited, arXiv:1802.04343. Journal of Homotopy and Related Structures, 14 (2019), no. 2, 525-577.
- The K-theory of left pointed derivators, arXiv:2009.09063. Submitted.
- The theory of half derivators, arXiv:2010.12057. Documenta Mathematica, 27 (2022), 655-698.
- Localization, monoid sets and K-theory, arXiv: 2109.03193. Submitted.

- 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
- "What is a derivator?". Algebra Seminar, Rutgers University, 9 October 2019
- "The algebraic K-theory of derivators". AMS Fall Eastern Sectional Meeting, Binghamton University, 12 October 2019
- Cancelled talk on the stabilization of derivators for the AMS Spring Southeastern Sectional Meeting, University of Virginia, 14 March 2020

- 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)

- Virgil's