Cameron Franc

Name	Cameron Franc
Citizenship	Canadian
DOB	20.12.1983
Address	Ann Arbor, Michigan
Office	3831 East Hall
Email	francc at umich dot edu

I'm a math postdoc at the University of Michigan associated with the REBUILD project. My research is in number theory, with an emphasis on modular forms and L-functions. Previously I was a postdoc at UCSC, a graduate student at McGill, and an undergraduate at Queen's.

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In preparation	Projects with Candelori and Mason.
Submitted papers	8. On the structure of modules of vector valued modular forms. Submitted 2015. Joint with Geoff Mason
Published papers	7. Vector valued modular forms and the modular orbifold of elliptic curves. Accepted for publication in the International Journal of Number Theory, 2016. Joint with Luca Candelori. 6. Three-dimensional imprimitive representations of the modular group and their associated modular forms. Accepted for publication in the Journal of Number Theory, 2015. Joint with Geoff Mason. 5. Hypergeometric series, modular linear differential equations, and vector-valued modular forms. The Ramanujan Journal, 2015. Joint with Geoff Mason. 4. Fourier-coefficients of vector-valued modular forms of dimension 2. The Canadian Mathematical Bulletin, 2015. Joint with Geoff Mason. 3. Computing fundamental domains for the Bruhat-Tits tree for GL2(Qp). LMS Journal of Computation and Mathematics, 2014. Joint with Marc Masdeu. 2. Nearly rigid analytic modular forms and their values at CM points. Ph.D. thesis, McGill University, 2011. Advised by Henri Darmon. 1. On a generalisation of Artin's conjecture. Pure and Applied Math. Quarterly, 2008. Joint with Ram Murty.
Other	Slides from my talk at the AMS sectional meeting held at Loyola University, October 2015. Slides from my talk at a workshop in honour of Noriko Yui (LSU April 2015). Slides from my talk at the recent Automorphic Forms Workshop (UofM March 2015). Scan of Katz's article on Crystalline cohomology, Dieudonne modules and jacobi sums. Translation of Boutot-Carayol (note: this is from my time as a grad student and it's full of typos).

Past courses	Class field theory (Math 286), UCSC, Spring 2014 Complex analysis (Math 103a), UCSC, Spring 2014 Algebraic Geometry II (Math 223b), UCSC, Winter 2013 Algebra (Math 111a), UCSC, Fall 2012 Complex analysis (Math 103a), UCSC, Winter 2012 Linear algebra and geometry (Math 133), McGill University, Fall 2008
Course development	In the summer of 2015 I designed and wrote the project material for applied linear algebra (Math 214) at UofM as part of the REBUILD project. You can find it at this link. --- In the spring and summer of 2015 I worked with a team of faculty at UofM to redesign Math 214 (applied linear algebra). This was a project headed by David Speyer as part of the REBUILD project. --- In the summer of 2014 I redesigned and created all new lab material for Math 215 (Calc III) at UofM. You can find this material at this link. We did a pre-post assessment of the changes and found that they were beneficial for students. This was also part of the REBUILD project.
Other	Handout from a talk on the Skolem-Mahler-Lech theorem for undergraduates. Slides from a talk on Math and Music for undergraduates. Slides from a talk on special values of the Riemann zeta function for undergraduates.