## Trevor M. Wilson

twilson@math.uci.edu

### Papers, preprints, etc.

• (with Paul Larson and Grigor Sargsyan) A model of the Axiom of Determinacy in which every set of reals is universally Baire. In preparation. (Draft PDF)
• The envelope of a pointclass under a local determinacy hypothesis. Annals of Pure and Applied Logic, 166 (10), pp. 991–1018, 2015. (DOI link)
• Universally Baire sets and generic absoluteness. Submitted for publication. (PDF)
• Scales on ${\it \Pi}^2_1$ sets. Mathematical Research Letters, 22 (1), pp. 301–316, 2015. (DOI link)
• Contributions to descriptive inner model theory. PhD thesis, University of California, Berkeley, 2012. (PQDT Open)
• A continuous movement version of the Banach–Tarski paradox: A solution to de Groot's problem. Journal of Symbolic Logic, 70 (3), pp. 946–952, 2005. (DOI link)

### Slides from recent talks

• "Determinacy from strong compactness of $\omega_1$." Conference on inner model theory, the core model induction, and hod mice, WWU Münster, July 2015 (PDF)
• "Covering properties of derived models." Boise Extravaganza in Set Theory, SFSU, June 2015 (PDF)
• "Covering properties of derived models." ASL North American Annual Meeting, UIUC, Mar. 2015 (PDF)
• "A model of set theory in which every set of reals is universally Baire." ASL Winter Meeting, San Antonio, Texas, Jan. 2015 (PDF)
• "Determinacy models and good scales at singular cardinals." Logic in Southern California meeting, UCLA, Nov. 2014 (PDF)
• "Optimal generic absoluteness results from strong cardinals." Mid-Atlantic Mathematical Logic Seminar, Miami University, Apr. 2014 (PDF)
• "Trees and generic absoluteness." Logic in Southern California meeting, UCLA, Nov. 2013 (PDF)
• "Trees, maximality principles, and generic absoluteness." Mid-Atlantic Mathematical Logic Seminar, Rutgers University, Oct. 2013 (PDF)
• "Absolutely complementing trees and generic absoluteness." AMS Fall southeastern sectional meeting, University of Louisville, Oct. 2013 (PDF)
• "A dichotomy for $(\Sigma^2_1)^{\text{Hom}_\infty}$ sets of reals, with applications to generic absoluteness." Young Set Theory Workshop, Oropa, Italy, June 2013 (PDF)
• "A determinacy transfer principle." UCLA logic colloquium, Mar. 2013 (PDF)
• "Scales on $\Pi^2_1$ sets." Logic in Southern California meeting, UC Irvine, Feb. 2013 (PDF)
• "Well-behaved measures and weak covering for derived models." Toronto set theory seminar, Dec. 2012 (PDF)

### Courses taught at UC Irvine

• Math 120B: Introduction to Abstract Algebra (Rings and Fields,) Spring 2015 (website)
• Math 120A: Introduction to Abstract Algebra (Group Theory,) Winter 2015 (website)
• Math 120A: Introduction to Abstract Algebra (Group Theory,) Fall 2014 (website)
• Math 161: Modern Geometry, Spring 2014 (website)
• Math 13: Introduction to Abstract Mathematics, Winter 2014 (website)
• Math 281A: Set Theory, Fall 2013 (website)
• Math 2J: Infinite Series and Basic Linear Algebra, Spring 2013 (website)
• Math 151: Set Theory, Winter 2013 (website)