Talks

All of the talks below are expository. I have provided notes (in postscript) or an abstract (text file) whenever I had them. They were written as I was learning about these various topics, so use them with caution and take a look at the references for backup.

• Fontaine's rings, McGill (October 2005)
• p-adic modular forms and their associated (pseudo-)representations, McGill (November 2004)
• Bounds on Kloosterman sums, Seminar on Cohomology, McGill (April 2004)
• Serre's conjectures (abstract), Graduate Algebraic Geometry Seminar, MIT (May 2003)
• A number-theoretic invitation to the Langlands program (abstract), Graduate Representation Theory Seminar, MIT (April 2003)
• An introduction to formal concept analysis (abstract), Graduate Applied Mathematics Seminar, MIT (October 2002)
• Formal group laws in positive characteristic, Working Seminar in Algebraic Topology, MIT (September 2002)
• The field of definition of a supersingular elliptic curve (abstract), Graduate Algebraic Geometry Seminar, MIT (September 2002)
• Toric varieties III (abstract), Graduate Algebraic Geometry Seminar, MIT (May 2002)
• Correspondences on curves I, Seminar on the fundamental group of an algebraic curve, MIT (May 2002)
• An introduction to Newton polygons (abstract), Graduate Pure Mathematics Seminar, MIT (March 2002)
• The fine structure of p-torsion on elliptic curves in characteristic p (abstract), Graduate Algebraic Geometry Seminar, MIT (October 2001)
• Endomorphisms of abelian varieties over finite fields II, Arithmetic Algebraic Geometry Seminar, MIT (October 2001)
• On the enumeration of lattice polygons (abstract), Graduate Applied Mathematics Seminar, MIT (September 2001)
• On Belyi's theorem (abstract), Graduate Algebraic Geometry Seminar, MIT (April 2001)
• Lattice polygons and modular forms (abstract), Graduate Pure Mathematics Seminar, MIT (March 2001)
• An introduction to the probabilistic method (abstract), SUMS Lecture Series, McGill University (March 2001)
• Endomorphisms of abelian varieties over finite fields, Arithmetic Algebraic Geometry Seminar, MIT (February 2001)
• Equidissections of polygons (abstract), Graduate Applied Mathematics Seminar, MIT (November 2000)
• Modular curves and the class number one problem, Graduate Number Theory Seminar, MIT (November 2000)
• The invariant differential and dual isogenies, Graduate Number Theory Seminar, MIT (October 2000)
• A tour of global class field theory, Graduate Number Theory Seminar, MIT (October 2000)
• Modular curves and Heegner points, Kolyvagin Seminar, MIT (February 2000)
• Groebner bases (abstract), Graduate Algebraic Geometry Seminar, MIT (February 2000)
• From algebra to geometry (abstract), Graduate Applied Mathematics Seminar, MIT (February 2000)
• Aside on Kummer theory, Euler Systems Seminar, Harvard University (November 1999)
• Computation of Heegner points, Cryptography and Number Theory Seminar, McGill University (June 1999)
• Counting lattice points (abstract), Canadian Undergraduate Mathematics Conference, Memorial University - St. John's, NF (May 1999)
• Moduli spaces of elliptic curves, Graduate Seminar on Algebraic Curves, McGill University (April 1999)
• On the abc conjecture, SUMS Lecture Series, McGill University (February 1999)
• Complex uniformisation of elliptic curves and Tate curves, Graduate Number Theory Seminar, University of Montreal - Montreal, QC (September 1998)
• Modern answers to an old number theory problem, Canadian Undergraduate Mathematics Conference, University of British Columbia - Vancouver, BC (July 1998)
• Elliptic curves, SUMS Lecture Series, McGill University (February 1998)
• Irregular primes, Graduate Student Seminar, McGill University (October 1997)
• The ``other'' calculus - Introduction to p-adic analysis, Canadian Undergraduate Mathematics Conference, University of Montreal (July 1997)

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