56

Answers

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2

Fast Matrix Multiplication

8

Examples of seemingly elementary problems that are hard to solve?

6

How to escape the inclination to be a universalist or: How to learn to stop worrying and do some research.

11

What’s a magical theorem in logic? (2)

5

Maiden Names vs. Married Names

1

Unmathematical habits of thought and action which would be of use to mathematicians

2

Believing the Conjectures

4

What are your favorite puzzles/toys for introducing new mathematical concepts to students?

1

Erik Westzynthius’s cool upper bound argument: update?

6

Excellent mathematical explanations

1

Can pure mathematics harness citizen science?

8

Giving a math talk with no blackboard or projector

1

Does every bipartite graph with 512 edges have an induced subgraph with 256 edges? (2)

3

Walking around Santa Cruz, track around the soccer field

1

Graphical representation of mathematical structures (in the spirit of unified modeling language)

0

Does every ellipse inside a tetrahedron inside a ball fit in a triangle inside the ball?

2

Math for a cake

5

How many binary operations are associative?

0

Is there an official name for this prohibited word pattern?

3

Thom’s Principle: rich structures are more numerous in low dimension

0

max # of words with restricted total content

1

Measuring big stuff

1

Graph properties and FOL

1

Math Puzzle: calculating the dimensions of variable rectangles in a fixed square

0

Real functions with finitely many zeroes

0

Estimates for Bezout coefficients

4

Large Intersecting Subsets of a Set

1

Positive results coming from paradoxes

0

The Inverse of the Euler Totient Function

5

Sieve of Erathostenes: removing consecutive items