Bruce Fontaine Department of Mathematics, 310 Malott Hall, Cornell University, Ithaca, NY 14853 (510) 705-3167, [email protected]
Education
2012 PhD in Mathematics, University of Toronto, Canada.
– Thesis: Bases for invariant spaces and geometric representation theory. – Advisor: Joel Kamnitzer
2007 Masters of Advanced Study in Mathematics, University of Cambridge, UK.
2006 Hons. BSc. in Pure Mathematics, University of Western Ontario, Canada.
Employment
Cornell University, January 2013 - present
Mathematical Sciences Research Institute, August 2012 - December 2012
Fields of Interest
Representation theory, geometric representation theory, combinatorics, category theory.
Publications
1. B. Fontaine, Non-negative integer friezes; .
2. B. Fontaine, P.-G. Plamondon, Counting Friezes in type Dn; math.CO/arXiv:1409.3698.
3. B. Fontaine, J. Kamnitzer, Cyclic Sieving, Rotation and Geometric Representation Theory, Selecta Math., 20 no. 2 (2014) 609-625; math.RT/arXiv:1212.1314.
4. B. Fontaine, Generating basis webs for SL(n), Adv. in Math., 229 no. 5 (2012) 2792-2817; math.QA/arXiv:1108.4616v1.
5. B. Fontaine, J. Kamnitzer, G. Kuperberg, Buildings, spiders, and geometric Satake, Compos. Math., 149 no. 11 (2013) 1871-1912; math.QA/arXiv:1103.3519v1.
Teaching Experience
Cornell University Spring 2013-current Instructor for: MATH 2220 - Multivariable Calculus MATH 2210 - Linear Algebra MATH 2310 - Linear Algebra with Applications MATH 4320 - Introduction to Algebra MATH 7580 - Perverse Sheaves
1 University of Toronto Summer 2011 to Winter 2012 Instructor for: MAT237 - Multivariable Calculus MAT244 - Ordinary Differential Equations
Trinity College, Toronto, Fall 2011 to Winter 2012 Tutor in Mathematics
Awards and Grants
Ontario Graduate Scholarship, 2011-2012.
DeLury Teaching Award, 2011.
University of Toronto Doctoral Completion Award, 2011-2012.
NSERC Postgraduate Scholarship, 2007-2010.
Helen Sawyer Hogg Graduate Award, 2007.
J.J. and A.R. Kingston Gold Medal, 2006.
NSERC Undergraduate Student Research Award, 2004, 2005 and 2006.
Conference Talks
AMS Special Session on Categorification, UC Riverside, California, November 2-3 2013
Toronto representation theory retreat, Duntroon, Ontario, July 2013.
Cluster Algebras and the Canonical Basis, Eugene, Oregon, June 12-18, 2011.
Southern Ontario Groups and Geometry, Fields institute, Toronto, Ontario, April 1-2, 2011.
Duntroon Workshop on Hitchin Fibration and the Fundamental lemma, Duntroon, Ontario, August 23-27, 2010.
Canadian Undergraduate Mathematics Conference, Kingston, Ontario, 2005.
Seminar Talks
Northeastern University, Cluster seminar, Boston, November 2014.
Cornell University, Lie Groups seminar, Ithaca, March 2014.
Cornell University, Combinatorics seminar, Ithaca, February 2014.
Cornell University, Lie Groups seminar, Ithaca, October 2013.
Cornell University, Oliver Club, Ithaca, September 2013
Cornell University, Lie Groups seminar, Ithaca, May 2013.
UC Davis, Geometry and Topology Seminar, Davis, November 2012
MSRI, Fock and Goncharov Seminar, Berkeley, October 2012
2 MSRI, Postdoctoral Seminar, Berkeley, October 2012
University of Western Ontario, Algebra and Combinatorics Seminar, London, April 2012.
University of Toronto, Crystals seminar, Toronto, October 2011.
University of Toronto, Categorification seminar, Toronto, February 2011.
University of Toronto, TQFT and modular functors seminar, Toronto, October 2010.
University of Toronto, Geometric representation theory seminar, Toronto, October 2010.
University of Toronto, Topology of algebraic Varieties seminar, Toronto, April 2010.
University of Toronto, Geometric representation theory seminar, Toronto, December 2009.
Organizations of Seminars and Committees
Co-chair of the Putnam contest committee, Cornell University.
Organizer of topology of algebraic varieties seminar, University of Toronto.
Member of the mathematics graduate student committee, University of Toronto.
Member of the departmental computer committee, University of Toronto.
Other information
Canadian citizen.
Belgian citizen.
Comfortable in oral and written French.
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