Guy C. David
I have moved to a position at Ball State University. My new web page is HERE.
This page is no longer updated..
email: guydavid at math dot nyu dot edu
office: Warren Weaver Hall, Room 523
office hours: Tuesdays and Thursdays, 11:00 am - 12:00 pm (tentatively)
I'm a Courant Instructor in the NYU mathematics department, interested in analysis on metric spaces, Lipschitz mappings, and quasiconformal geometry.
I got my Ph. D. in 2014 from UCLA under the advisement of Mario Bonk.
(There is another mathematician with the same first and last name as me and some similar research interests. His page is here.)
My CV is here.
Not everyone knows what "analysis on metric spaces" means. For those who are curious, I recommend the following survey articles by Juha Heinonen:
Nonsmooth calculus, Geometric embeddings of metric spaces, Lectures on Lipschitz analysis,
and this list of questions by Juha Heinonen and Stephen Semmes:
Thirty-three yes or no questions about mappings, measures, and metrics.
All my papers on the arXiv can also be found here.
- G. C. David and B. Kleiner, Rectifiability of planes and Alberti representations, preprint, 2016. arXiv.
- G. C. David and K. Kinneberg, Rigidity for convex-cocompact actions on rank-one symmetric spaces, preprint, 2016. arXiv.
- G. C. David and R. Schul, The Analyst's traveling salesman theorem in graph inverse limits. Ann. Acad. Sci. Fenn. Math 42: 649-692, 2017. arXiv.
- G. C. David, Lusin-type theorems for Cheeger derivatives on metric measure spaces. Anal. Geom. Metr. Spaces, 3 (1): 296-312, 2015. arxiv.
- G. C. David, Tangents and rectifiability of Ahlfors regular Lipschitz differentiability spaces. Geom. Funct. Anal., 25 (2): 553-579, 2015. pdf version. arxiv.
- G. C. David, Bi-Lipschitz pieces between manifolds. Rev. Mat. Iberoam., 32 (1): 175-218, 2016. arxiv.
- G. C. David, Lipschitz Maps in Metric Spaces (Ph.D. dissertation at UCLA). ProQuest link.
For Spring 2017, I am the instructor for Section 005 of Discrete Mathematics at NYU. The course website can be found on NYU Classes.
In Fall 2016, I was the instructor for Section 008 of Linear Algebra at NYU.
In Spring 2016, I was the instructor for Section 002 of Calculus 3 at NYU.
In Fall 2015, I was the instructor for Section 003 of Analysis (Math 325) at NYU.
In Spring 2015, I was the instructor for Section 005 of Discrete Mathematics at NYU.
In Fall 2014, I was the instructor for Section 001 of Calculus 1 at NYU.
As a graduate student, I was also a teaching assistant for a number of courses at UCLA.
Kublai Khan does not necessarily believe everything Marco Polo says when he describes the cities visited on his expeditions, but the emperor of the Tartars does continue listening to the young Venetian with greater attention and curiosity than he shows any other messenger or explorer of his. In the lives of emperors there is a moment which follows pride in the boundless extension of the territories we have conquered, and the melancholy and relief of knowing we shall soon give up any thought of knowing and understanding them. There is a sense of emptiness that comes over us at evening, with the odor of the elephants after the rain and the sandalwood ashes growing cold in the braziers, a dizziness that makes rivers and mountains tremble on the fallow curves of the planispheres where they are portrayed, and rolls up, one after the other, the dispatches announcing to us the collapse of the last enemy troops, from defeat to defeat, and flakes the wax of the seals of obscure kings who beseech our protection, offering in exchange annual tributes of precious metals, tanned hides, and tortoise shell. It is the desperate moment when we discover that this empire, which had seemed to be the sum of all wonders, is an endless, formless ruin, that corruption's gangrene has spread too far to be healed by our scepter, that the triumph over enemy sovereigns has made us the heirs of their long undoing. Only in Marco Polo's accounts was Kublai Khan able to discern, through the walls and towers destined to crumble, the tracery of a pattern so subtle it could escape the termites' gnawing.
- Italo Calvino, from Invisible Cities (trans. W. Weaver)
(picture from here.)