- RESEARCH BLOG 10/6/03 I've been trying to understand more of Perelman's work, but I find it
- RESEARCH BLOG 2/28/03 The Ricci flow is defined by the equation
- HYPERBOLIC GLASS For a fixed color of monochromatic light (e.g. as produced by a laser) and a given material, the
- RESEARCH BLOG 7/15/03 I've been trying to understand Perelman's work, and so far I'm about
- RESEARCH BLOG 7/6/04 VOLUME ESTIMATES VIA RICCI FLOW
- RESEARCH BLOG 11/24/03 I've been working on making the argument sketched in blog 11/16/03
- RESEARCH BLOG 3/17/03 I went to Baton Rouge over the weekend for an AMS meeting. Das-
- RESEARCH BLOG 5/11/04 CORNELL TOPOLOGY FESTIVAL
- RESEARCH BLOG 7/19/04 A paper is published by Ruth Kellerhals, which proves that the mini-
- RESEARCH BLOG 11/17/03 I did a MathSciNet search to see if there were any papers which
- RESEARCH BLOG 11/14/03 I claimed last time that I wanted to reduce the general case of Mar-
- THURSTON'S CONGRUENCE LINK Klein's quartic curve may be described as the Riemann surface ob-
- RESEARCH BLOG 9/27/04 GEODESIC SURFACES
- RESEARCH BLOG 7/12/04 Last week, Saul Schleimer posted a paper showing that recognition
- RESEARCH BLOG 6/29/04 RANK VS. HEEGAARD GENUS
- RESEARCH BLOG 6/21/04 VIRTUAL INDICABILITY
- RESEARCH BLOG 6/14/04 TAMENESS IN TEXAS
- RESEARCH BLOG 5/24/04 At the Cornell Topology Festival, Bill Thurston gave the last talk,
- RESEARCH BLOG 5/4/04 At the PNGS at University of Utah, Brian White talked about em-
- RESEARCH BLOG 11/13/03 The approach I'm taking to Marden's conjecture is inspired by work
- RESEARCH BLOG 11/12/03 Last week, I decided to take a break from thinking about Ricci flow.
- RESEARCH BLOG 10/31/03 In the last research blog (10/28/03) , I gave a strengthening of the
- RESEARCH BLOG 10/28/03 As discussed in blog 8/20/03, Perelman's work would imply improved
- RESEARCH BLOG 10/27/03 I'll make a couple of more comments on the results of Kronheimer et.
- RESEARCH BLOG 10/17/03 Kronheimer, Mrowka, Ozsvath, and Szabo posted a paper on Mon-
- RESEARCH BLOG 10/8/03 Perelman states in his second paper that one of his goals is to make
- RESEARCH BLOG 8/20/03 Colding and Minicozzi posted a paper on singularity formation in
- RESEARCH BLOG 7/20/03 On Friday, Perelman posted a new paper, which claims to finish
- RESEARCH BLOG 6/25/03 Notes on Perelman's work are now available. Kleiner and Lott have
- RESEARCH BLOG 4/29/03 Last Wednesday, Dan Knopf visited from University of Iowa. He
- RESEARCH BLOG 4/15/03: U. OF ARKANSAS SPRING LECTURE SERIES I went to the U. of Arkansas Spring Lecture Series in Mathematical
- RESEARCH BLOG 4/8/03: EFFICIENT CELL STRUCTURES ON 3-MANIFOLDS
- RESEARCH BLOG 3/10/03 In blog 2/27/03 Train Tracks on train tracks, I mentioned Lee
- RESEARCH BLOG 3/07/03 This week there were two talks at U. of C. on hyperbolic 3-manifolds.
- RESEARCH BLOG 3/06/03 Elizabeth Klodginski asked whether the injectivity radius of closed 3-
- RESEARCH BLOG 3/04/03 As noted in research blog 2/28/03, it appears that a main obstacle
- TABLE OF CONTENTS Table of Contents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . i
- RESEARCH BLOG 5/6/03 I haven't heard much about Perelman's lectures at Stoneybrook, only
- CIRCLE LINKS The Borromean rings have the property that removing one of the components leaves the unlink.
- RESEARCH BLOG 9/21/04 BLACK OAK ARKANSAS CONJECTURE
- GABAI'S ONE-SIDED LAMINATION It is well known that a properly embedded line in the plane separates the plane into two regions.
- RESEARCH BLOG 8/13/04 Recently, Moriah, Schleimer, and Sedgwick posted a paper which is
- RESEARCH BLOG 7/24/03 We want to see the relation between non-collapsing and injectivity
- RESEARCH BLOG 6/9/04 EULER CHARACTERISTIC OF MANIFOLD K(, 1)S
- RESEARCH BLOG 8/03/04 Last week, I. Kapovich and Weidmann posted a paper showing that
- RESEARCH BLOG 4/22/03 Last Wednesday, Howie Masur gave a talk on the curve complex of
- RESEARCH BLOG 11/16/03 This weekend, Howie Masur, Benson Farb, and Alex Eskin hosted
- RESEARCH BLOG 3/25/03 Last week, I went to the Spring Topology and Dynamical Systems
- RESEARCH BLOG 3/18/03 I've added a page on unknots , with some examples of Haken, and a
- RESEARCH BLOG 3/29/04 SURFACES IN 3-MANIFOLDS
- RESEARCH BLOG 4/6/04 SPHERE PACKING
- RESEARCH BLOG 8/31/04 John Berge wrote me mentioning that there was a mistake in blog
- MOSHER'S ARATIONALITY CRITERION In Lee Mosher's talk at U. of Chicago on 2/27/03, he gave an example
- RESEARCH BLOG 4/1/03 Walter Neumann discussed the Casson invariant conjecture at the
- RESEARCH BLOG 9/20/04 OBERWOLFACH
- RESEARCH BLOG 5/19/03 Dan Knopf notified me that he has a survey paper (on which his talk
- RESEARCH BLOG 6/8/04 TEXAS TOPOLOGY
- CRITERIA FOR VIRTUAL FIBERING Abstract. We prove that an irreducible 3-manifold whose fundamental group satisfies
- RESEARCH BLOG 8/18/03 I spent two weeks in Cambridge at the Isaac Newton Institute at
- RESEARCH BLOG 8/18/04 CONJECTURES OF WALDHAUSEN AND SEDGWICK
- RESEARCH BLOG 3/27/04, STDC '04 I went to two days of the Spring Topology and Dynamics Conference,
- RESEARCH BLOG 3/10/04 Yesterday,Michael Khovanov gave a talk here at UIC. He explained
- RESEARCH BLOG 7/23/03 Let (M, g) be a Riemannian manifold. Recall that we defined
- Intersections of curves on the torus May 15, 1999