Polynomial theory underpins a vast array of problems in modern combinatorics, providing tools to encode, manipulate and extract information from sequences and discrete structures. Central to this area ...

Graph polynomials serve as powerful invariants that encode both combinatorial and topological features of graphs drawn on surfaces. Beginning with the classical Tutte polynomial for planar graphs, ...

Vesselin Dimitrov’s proof of the Schinzel-Zassenhaus conjecture quantifies the way special values of polynomials push each other apart. In the physical world, objects often push each other apart in an ...

Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the ...

A PHD in math disproved an 87 year old math problem with about two hours of working with Anthropic Fable. The Jacobian ...

I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips.

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For mathematicians and computer scientists, 2020 was full of discipline-spanning discoveries and celebrations of creativity. Several long-standing problems yielded to sustained collaboration, ...

Growth and change in technology have brought a boom in the availability of data and the need for people to shape technologies. Growing areas like machine learning require expertise in programming, ...