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Category Archives: Theoretical Mathematics
Discovering Proofs
Patrick Stevens is an undergraduate mathematics student at the University of Cambridge, and I’ve really been enjoying his blog recently. He’s been doing a series of posts about discovering proofs of standard real analysis theorems. He writes that the series … Continue reading
Posted in Math Education, Theoretical Mathematics
Tagged analysis, Patrick Stevens, real analysis, teaching analysis
3 Comments
Awesome K12 Math Teachers Exist! And they have blogs.
I sometimes get tired of hearing about how “teachers (meaning K12 teachers) just don’t understand this or that, or won’t try doing something new,” or are deficient in some way or another. We often advise teachers to let go of … Continue reading
Geometry and the Imagination
If you like geometric group theory or amazing pictures (but especially geometric group theory), you might want to start reading Geometry and the Imagination, written by University of Chicago mathematician Danny Calegari. I’ve been following it for a while, but … Continue reading
Posted in Theoretical Mathematics
Tagged Alden Walker, Danny Calegari, geometry, hyperbolic 3manifolds, Ian Agol, lowdimensional topology, research blogging, topology, virtual haken conjecture, visualizations
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Why Should We Fund Math Research?
As my coblogger Brie Finegold mentioned last month, Cathy O’Neil of mathbabe.org has been writing about how MOOCs might change the face of math departments and, ultimately, how math research gets funded. O’Neil is concerned that without calculus classes to … Continue reading
Job Security Calculus: Reasoning about our futures
Most academics have a love/hate relationship to teaching, and especially teaching Calculus. Prior to the first exam of the semester, it seems that everyone in the class is there for learning’s sake, discussing ideas, engaging in problemsolving. But we worry … Continue reading
Posted in Applied Math, Issues in Higher Education, Math Education, people in math, Theoretical Mathematics
Tagged calculus, Future of Mathematics Research, Jobs for Matheamticians, MOOCs, Research Funding
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Winter Break Reading: Baking and Math
If you, like me, like both food and math, then maybe you should check out Yen Duong’s blog Baking and Math. Duong is a graduate student studying geometric group theory at the University of Illinois at Chicago. Her blog mostly … Continue reading
Posted in Math Education, Theoretical Mathematics, women in math
Tagged geometric group theory, graduate student
1 Comment
I’ve always resonated with Mobius bands — but now I know signals do too!
So here I am, trained as a topologist and geometric group theorist, starting a job that involves mainly digital signal processing. Today I was perusing the magazines on the shelf at my new job, and what do I see? The … Continue reading
How Quadratic Reciprocity Is Like Dealing Cards
Currently the RiemannRoch theorem is my nemesis, and I stumbled on Matt Baker’s math blog while I was looking for some help figuring out how to use it. The post I came across, RiemannRoch for Graphs and Applications, was not … Continue reading
Posted in Number Theory, Theoretical Mathematics
Tagged graph theory, Matt Baker, quadratic reciprocity, RiemannRoch theorem
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See Math, See Math Run
To me, the formula for the volume of a cone says “Did you know that 3 copies of the same cone occupy the same space as the smallest cylinder that contains one of them?” This fact relates (see picture) to … Continue reading
This is your brain. This is your brain on category theory!
I often ponder whether mathematics is lying around waiting to be discovered or is nonexistent until we invent it. One of the most recent posts at Math Rising led me to a similar question concerning the brain. Has the physical … Continue reading
Posted in Applied Math, Biomath, Theoretical Mathematics
Tagged Biomath, Category Theory, Cognitive Science, Math Rising, Philosophy, science
1 Comment