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Dror Bar-Natan:
News /
Academic Profile:
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News and Merit Report, 2010
>>
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Annual activity report: professorial-stream faculty
Faculty of Arts & Science
Period: 1 May 2009 to 30 April 2010
Dror Bar-Natan, Department of Mathematics
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This is my "merit report", presented annually to my department
(along with my CV),
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) 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
All lectures in my MAT
1350HF Alegbraic Knot Theory class were videotaped and are
available on the web, viewable using self-developed web-video software
that allows for by-the-second wiki-style annotations of
the video stream by me or by the students. See e.g. the first
class.
4. Course and Curriculum Delivery/Management
(i) Ongoing innovative methods in specific courses
(ii) Course and program management
5. Other
(i) Undergraduate
(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" and on "Flat Knots" from
May 2007 at 8 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 8 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 Trefor Bazett, Bruce Fontaine, Brendan McLellan,
and Lucy Zhang.
(iv) Completed Graduate Theses/Degrees
(v) Research Associates/Postdoctoral Fellows/Professional Assistants
(v) Other
C. Scholarly Work in Progress
- Finite Type Invariants of
w-Knotted Objects: From Alexander to Kashiwara and Vergne, no
co-authors, first listed 2009, 37 pages written this year, anticipated
completion December 2010 at 120 pages as an article/monograph.
- Some Dimensions of Spaces of Finite
Type Invariants of Virtual Knots, with Iva Halacheva, Louis Leung,
and Fionntan Roukema, first listed 2010, 7 pp. paper, completed and submitted
for publication.
1. Accepted (not yet published)
2. Published - refereed
3. Published - non-refereed
- (u, v, and w knots) x
(topology, combinatorics, low algebra, and high algebra), 4 summer
school lectures in Trieste, May 2009.
- Convolutions on Lie Groups
and Lie Algebras and Ribbon 2-Knots, Conference on Knot Theory,
Trieste, May 2009.
- Convolutions on Lie Groups
and Lie Algebras and Ribbon 2-Knots, Journés Solstice
d'été, Paris, June 2009.
- Solving the Rubik
Cube Using Group Theory, short course at Mathcamp Canada/USA,
July 2009.
- The Hardest Math I've
Ever Really Used, lecture at Mathcamp Canada/USA, July 2009.
- Convolutions on Lie Groups
and Lie Algebras and Ribbon 2-Knots, Jerusalem, July 2009.
- Convolutions on Lie Groups and
Lie Algebras and Ribbon 2-Knots, Chern-Simons Gauge Theory: 20
years after conference, Bonn, August 2009.
- Kolmogorov's Solution of
Hilbert's 13th Problem, Gradute Student Seminar, Toronto September
2009.
- Dessert: Hilbert's 13th
Problem, in Full Colour, Workshop on Computational Differential
Geometry, Topology, and Dynamics, The Fields Institute, November 2009.
- Homomorphic Expansions and
w-Knots, Colloquium, University of Western Ontario, February 2010.
- 18 Conjectures,
Algebraic and Quantum Topology Conference, Luminy, April 2010.
- u, v, and w-Knots:
Topology, Combinatorics and Low and High Algebra, Courant Lecture
Series (3 lectures), Goettingen, April 2010.
G. Patents, Disclosures, Other Professional Designs
H. Creative Professional Activities
I. Current Grants and Contracts
- Knot Theory
and Algebra, Discovery NSERC grant, starting April 2008 and ending
March 2013 at total of $140,000 with no co-investigators.
- Knot Theory
and Algebra, Discovery Accelerator Supplement (NSERC) starting
April 2009 and ending March 2012 at total of $120,000 with no
co-investigators.
J. Honours
K. University Service
(i) Department
I am my department's graduate coordinator this year.
(ii) College
(iii) Faculty
I was a member of the Faculty of Arts and Science Conaught Committee.
(iv) University
(v) Other
L. External Professional Service
M. Outreach Service
I gave a presentation lecture in the Faculty of Arts and Science
March Break Open House
N. Other
Z.