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Dror BarNatan:
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News and Merit Report, 2009
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Annual activity report: professorialstream faculty
Faculty of Arts & Science
Period: 1 May 2008 to 30 April 2009
Dror BarNatan, Department of Mathematics

This is my "merit report", presented annually to my department,
mostly to determine if I will be getting a pay raise, and how much.
Why make it public? So painful it is to write, I must try
to sweeten the pill by adding to it some residual benefit. Hence it
is also a "news report" presented annually in the open to the
small number of people who might be interested in what I'm up to.
The sectioning follows the standard Faculty of Arts & Science form,
but with many parts suppressed.
1. Courses Taught
I'm on sabbatical this year so I've taught none.
(i) Undergraduate
(ii) Graduate
3. Course and Curriculum Development
(i) Development of a new course
(ii) New preparation of an existing course
(iii) New pedagogical methods introduced
4. Course and Curriculum Delivery/Management
(i) Ongoing innovative methods in specific courses
(ii) Course and program management
5. Other
(i) Undergraduate
 Iva Halacheva worked on
"Gauss diagram formulas for finite type knot invariants" in Summer
(MayAugust) 2008 at 10 supervision hours per month.
(ii) New and Continuing Masters
(a) Primary supervisions
(b) Supervisory committee memberships
(iii) New and Continuing PhD
(a) Primary supervisions.
 Karene Chu, working on "Virtual Braids" from May 2007 at 4
supervision hours per month.
 Zsuzsanna Dancso, working on
"Kontsevich formalism for knotted trivalent graphs" from September 2006
at 4 supervision hours per month.
 Louis Leung, working on
"Lie bialgebra weight systems" from September 2005 at 4 supervision hours
per month.
 Jana Archibald, working on
"Fermion formulas for Alexander" from September 2005 at 4 supervision
hours per month.
 Peter Lee, working "Frozen
feet associators, quadratic algebras" from May 2006 at 4 supervision
hours per month.
(b) Supervisory committee memberships
All of the above plus Brendan McLellan, Derek Krepski, Bruce Fontaine, Lucy
Zhang, Trefor Bazett.
(iv) Completed Graduate Theses/Degrees
 Hernando Burgos's title
was The Jones Polynomial and the planar algebra of alternating
links. Ph.D. awarded February 2009 (in Bogota), 8 supervision
hours per month.
(v) Research Associates/Postdoctoral Fellows/Professional Assistants
(v) Other
C. Scholarly Work in Progress
1. Accepted (not yet published)
2. Published  refereed
3. Published  nonrefereed
 Projectivization,
Welded Knots and AlekseevTorossian, Oberwolfach, May 2008 (web
page attached) and Geneva, May 2008.
 Local Khovanov
Homology, Zurich Colloquium in Mathematics, May 2008 (web
page and handout attached) and Geneva, May 2008.
 NonCommutative Gaussian
Elimination and Rubik's Cube, Canadian Undergraduate Mathematics
Conference, July 2008 (web page and handout attached).
 Projectivization, WKnots,
KashiwaraVergne and AlekseevTorossian,
MSRI, August 2008 (web page and handout attached).
 The Penultimate Alexander
Invariant, Sandbjerg (Aarhus University),
October 2008 (web page and handout attached).
 Algebraic Knot
Theory, Colloquium, Copenhagen University, October 2008
(handout attached).
 Disorganized
Tidbits: KashiwaraVergne, Drinfel'd, AlekseevTorossian, Alexander,
Virtual knots, and EtingofKazhdan, Northeastern University,
October 2008 (web page and handout attached).
 (u, v, and w knots) x
(topology, combinatorics, low algebra, and high algebra), Colloquium,
Penn State University, February 2009 (web page attached).
 Talks in Bogota,
February 2009 (web page and handout attached).
 (u, v, and w knots) x
(topology, combinatorics, low algebra, and high algebra),
TwentySeventh Annual Friends of Mathematics Lecture, Kansas State
University, April 2009 (poster and handout attached).
 The Hardest Math I've Ever
Really Used, Kansas State
University, April 2009 (handout attached).
 Convolutions on Lie Groups and Lie Algebras and Ribbon 2Knots,
Glasgow, April 2009 (canceled due to a winter illness, web page attached).
G. Patents, Disclosures, Other Professional Designs
H. Creative Professional Activities
I. Grants and Contracts
 New
and newer knot invariants, Discovery NSERC grant, starting April 2003
and ending March 2008 at total of $100,000 with no coinvestigators.
 Knot Theory
and Algebra, Discovery NSERC grant, starting April 2008 and ending
March 2013 at total of $140,000 with no coinvestigators.
 Knot Theory
and Algebra, Discovery Accelerator Supplement (NSERC) starting
April 2009 and ending March 2012 at total of $120,000 with no
coinvestigators.
J. Honours
I have won the "Outstanding Teaching Award" of the Faculty of Arts and
Science this year.
K. University Service
(i) Department
(ii) College
(iii) Faculty
(iv) University
(v) Other
L. External Professional Service
 Member of the Editorial Board, Compositio Mathematica.
 Founding editor of The Knot Atlas.
 Founding Contributor to KnotTheory`,
a computer knot theory package.
 Member of the Electronic Services Committee of the Canadian
Mathematical Society.
 Refereed
4 papers last year and 2 grant proposals.
M. Outreach Service
N. Other