# Assaf Shani

Graduate student

University of California Los Angeles

Department of Mathematics

Office: MS 2344.

**Research Interests:** Mathematical logic, Set Theory.

** Papers**

Fresh Subsets of ultrapowers. Archive for Mathematical Logic, vol. 55 (2016), pp. 835–845. [doi:10.1007/s00153-016-0497-4]
Ultrapowers of forcing notions. Master's thesis, Hebrew University, 2013.
** Unpublished notes**

Zero sharp implies all (branchless, fat) trees in L are special. (2015)
On the proof that a tree with an ascent path is not special. (2015)

** Talks**

Borel equivalence relations and symmetric models. [Abstract] Set theory today, Vienna, Austria (September 2018).
Topologies for the Friedman-Stanley jumps. [Abstract] European ASL meeting, Udine, Italy (July 2018).
Borel equivalence relations and weak choice principles. [Abstract, Slides] North American ASL meeting, Macomb, IL, USA (May 2018).

**Teaching:**

**Spring 18**:

Math 114L, *Mathematical Logic*.

Office hours: Mondays 2-3 and Tuesdays 11-12 at MS 2344.

Math 132, *Complex Analysis for Applications*.

Office hours: Mondays 3-4 at MS 2344.

**Past teaching**

**Winter 18**: Math 114S, *Introduction to set theory*; Math 3C, *Ordinary Differential Equations with Linear Algebra for Life Sciences Students*.

**Fall 17**: Math 132, *Complex Analysis for Applications*; Math 3C, *Ordinary Differential Equations with Linear Algebra for Life Sciences Students*.

**Spring 17**: Math 121C, *Introduction to Topology*, Math 31B, *Integration and Infinite Series*.

**Winter 17**: Math 114C, *Computability Theory*, Math 32A, *Calculus of Several Variables*.

**Fall 16**: Math 180, *Graph theory*, Math 131A, *Analysis*.

**Summer 16**: Math 61, *Introduction to Discrete Structures*.

**Spring 16**: Math 61, *Introduction to Discrete Structures*; Math 132, *Complex Analysis for Applications*.

**Winter 16**: Math 132, *Complex Analysis for Applications*; Math 106, *History of Mathematics*.

**Fall 15**: Math 1, *Precalculus*; Math 132, *Complex Analysis for Applications*.

**Summer 15**: Math 131A, *Analysis*.

**Spring 15**: Math 123, *Foundations of Geometry*; Math 32A, *Calculus of Several Variables*.

**Winter 15**: Math 106, *History of Mathematics*; Math 32B, *Calculus of Several Variables*.

**Fall 14**: Math 132, *Complex Analysis for Applications*; Math 31B, *Integration and Infinite Series*.