I am an Associate Professor in the Mathematics Department at the University of California, Irvine and am a member of the group in Logic and Foundations.
I also hold a courtesy appointment in the Department of Logic and Philosophy of Science.
I currently have a NSF CAREER Grant in Model Theory and Operator Algebras.
New book
My new book Nonstandard methods in Ramsey theory and combinatorial number theory (joint with Mauro Di Nasso and Martino Lupini) is now available for pre-order.
Upcoming events
- I will be a speaker at Antalya Algebra Days XXI that will be held at the Nesin Mathematics Village in Turkey on May 15-19, 2019.
- I will be a speaker in the special session on Logic and Universal Algebra at the XXIII Latinamerican Algebra Colloquium to be held in Mexico City on August 5-9, 2019.
- I will be attending the workshop Classification Problems in von Neumann algebras to be held at the Banff International Research Station during the week of September 30-October 4, 2019.
- I am the chair of the local organizing committee for the 2020 Association of Symbolic Logic North American Annual Meeting, to be held at UC Irvine on March 25-28, 2020.
Recent events
- I was a co-organizer of the special session on Applications of Ultrafilters and Nonstandard Methods at the 2019 Spring Central and Western Joint Sectional Meeting of the AMS held at the University of Hawaii on March 22-24, 2019. Here are slides from the session.
- I was a plenary speaker at the 2019 Southern Ontario Operator Algebras Seminar held at the Fields Institute in Toronto on February 16-17, 2019.
- I co-organized the workshop Model Theory and Operator Algebras at the Banff International Research Station during the week of November 25-30, 2018.
- I delivered the USC math department colloquium on November 13, 2018.
- I spoke at a one day workshop on operator algebras as part of the Nebraska-Iowa Functional Analysis Seminar on November 3, 2018.
- I attended a Trimester program in Model theory, combinatorics, and valued fields at the IHP in Paris from January through March of 2018.
- I spoke at the workshop on Finite and pseudofinite model theory at the University of Leeds on April 9-11, 2018.
- I spoke at the workshop Approximation properties in operator algebras and ergodic theory held at IPAM at UCLA on April 30-May 5, 2018.
- I was a co-organizer of the special session on Model Theory at the 2017 Fall Western Sectional Meeting of the AMS that was held at UC Riverside on November 4-5, 2017. I also spoke in the special session on Advances in Operator Algebras.
- As part of my NSF CAREER Grant, I organized a conference Model theory and operator algebras at UC Irvine that took place on September 20-24, 2017.
- I was a co-organizer of the American Institute of Mathematics workshop on "Nonstandard methods in combinatorial number theory", that took place August 14-18, 2017.
- I spoke in two special sessions at the Mathematical Congress of the Americas Meeting that took place July 24-28, 2017 in Montreal: 'Interactions between Model Theory and Analysis and Topology' and 'von Neumann algebras and their applications.'
- I spoke at the 2017 Spring Institute of Noncommutative Geometry and Operator Algebras that took place May 5-11, 2017 at Vanderbilt University.
- I spoke in the special session on Continuous Model Theory at the 2017 North American Annual Meeting of the Association of Symbolic Logic that took place March 20-23, 2017 at Boise State University.
Current students
- Kevin Barnum
- Ryan Burkhart
- Alec Fox