**COURSE NOTES**and related materials (review documents, assignments, etc.).- triple-involution (blog; usually technical).
- mlbaker.org (older blog; mostly personal recently, but essentially dead).

*Stone-Čech compactification*, final talk for PMATH 753 (Functional Analysis). Fall 2012.**Seminar on Modern Algebraic Geometry**(with Yossef Musleh and Eeshan Wagh). Spring 2013.*The local normal form for holomorphic mappings of Riemann surfaces*, final talk for PMATH 764 (Algebraic Curves). Spring 2013.*Injective envelopes of operator spaces*, final talk/paper for PMATH 822 (Operator Spaces). Fall 2013.**Seminar on Semisimple Lie Theory**. Spring 2014.- Guest talk for MUMs Algebraic Geometry Study Group, University of Toronto. June 20, 2014.
*An introduction to topological quantum field theories*(based on Jacob Lurie's talk), CUMC 2014 at Carleton University. July 4, 2014.**Seminar on Complex Function Theory**. Fall 2014.*A motivated introduction to sheaves*, Waterloo Geometry Working Seminar. September 19, 2014.*q-nonsense*, PMAMC&OC Short Attention Span Math Seminars. November 19, 2014.*The probability that a random monic p-adic polynomial splits*(based on arXiv:math/0404057v1 [math.NT]), final talk/paper for PMATH 940 (p-adic Analysis). November 27, 2014.*Sheaf cohomology and affine schemes*, final paper for PMATH 945 (Arithmetic Dynamics). December 1, 2014.**Seminar on Class Field Theory**(with Raymond Cheng and Ritvik Ramkumar). Winter 2015.*q-nonsense (extended version)*, SUMM 2015 at Université de Montréal. January 10, 2015.*Category theory: a framework for reasoning*, informal talk. January 31, 2015.*Group C*-algebras and representations of locally compact groups*, final talk for PMATH 810 (Banach Algebras and Operator Theory). Winter 2015.*Stability and geometric invariant theory*, final talk for PMATH 965 (Kähler-Einstein Metrics on Compact Kähler Manifolds). Winter 2015.*Elliptic curves and Galois representations*(extemporaneous), PMAMC&OC Short Attention Span Math Seminars. June 3, 2015.*Modular forms and elliptic curves*, Waterloo Student Number Theory Seminar. June 10, 2015.*Elliptic curves over finite fields and their l-torsion Galois representations*. Master's thesis presentation. July 27, 2015.- A few more informal talks given at PMAMC&OC events.
- Other expository writing:
- Notes on vector and principal bundles (in progress)
- Mobius and Lorentz (in progress)
- Guides for learning: differential geometry

- CUMC 2010, University of Waterloo.
- CUMC 2012, University of British Columbia Okanagan.
- CUMC 2013, University of Montreal.
- SUMM 2014, Concordia University. January 10-12, 2014.
- 22nd Ontario Combinatorics Workshop, York University. May 16-17, 2014.
- 14th Canadian Summer School on Quantum Information, University of Guelph. June 16-20, 2014.
- CUMC 2014, Carleton University. July 2-5, 2014.
- SUMM 2015, Université de Montréal, January 9-11, 2015.
*Computational aspects of the Langlands program*, ICERM, September 9-16, 2015.- Conference on Differential Geometry, honouring Claude LeBrun's mathematical contributions, Université du Québec à Montréal, July 5-9, 2016.
- Montreal-Toronto Workshop in Number Theory, Université de Montréal, December 8-9, 2016.

- B.Math.;
**University of Waterloo**; Honours Pure Mathematics; Honours Combinatorics and Optimization; June 2014. - M.Math.;
**University of Waterloo**; Pure Mathematics; October 2015.