Patrick Lutz

I am a fifth year math PhD student at Berkeley, advised by Ted Slaman. I work in computability theory. Here is my CV.

Office: 737 Evans
Email: Reverse of ude.yelekreb “at” ztulgp

BA: Mathematics, UC Berkeley, 2012-2016
PhD: Mathematics, UC Berkeley, 2016-in progress

Research

Currently I’m mostly working on questions related to Martin’s conjecture, but I’m interested much more generally in logic and foundations of math. My goal is to work on problems that are both mathematically appealing and philosophically significant.

Papers

Incompleteness and jump hierarchies
with James Walsh [arXiv] [journal]
Local uniform Martin’s conjecture, revisited
with Vittorio Bard [in preparation]
Part 1 of Martin’s conjecture for order preserving functions
with Benny Siskind [slides] [draft available on request]
Martin’s conjecture for regressive functions on the hyperarithmetic degrees
[draft]
A note on a question of Sacks
with Kojiro Higuchi [draft][slides]

Other Activities

Teaching

Past Teaching: Here is a list of courses I’ve taught in the past. Also, here are websites I made for some of those classes: