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)
Other