Contact

Department of Mathematics
The City College of New York
160 Convent Avenue
New York, NY 10031

Phone: (212) 650-5346
Fax: (212) 650-6294
math@ccny.cuny.edu

RAMMP Summer Colloquium

All talks

• Wednesday, July 24, 2019, 01:45PM, Marshak 418N

Katherine St. John (Hunter College, CUNY GC, AMNH), Analyzing Evolutionary Histories

Trees are a canonical structure for representing evolutionary histories. Many popular criteria used to infer optimal trees are computationally hard, and the number of possible tree shapes grows super-exponentially in the number of taxa. We choose one popular optimality criteria and address the question of where do turtles fit in the tree of life? The answer is subject to debate. We analyze different hypothesis under the Maximum Parsimony Criteria and discuss why it is computationally hard to find the optimal tree in the general case.

• Wednesday, July 17, 2019, 01:00PM, Marshak 418N

Ethan Akin (City College of New York), Surprising Dice

Note the unusual time!

A generalized die is a cube with positive numbers on the six faces, possibly with repeated values. We say that die A beats die B, when the probability that A > B is bigger than 1/2. There exist intransitive dice A, B, C with A beats B and B beats C but C beats A. In fact any pattern of winning and losing can be mimicked using dice although it may require dice with more than six sides.

• Wednesday, July 10, 2019, 01:45PM, Marshak 418N

Heidi Goodson (Brooklyn College), Vertically Aligned Entries in Pascal's Triangle and Connections to Number Theory

The classic way to write down Pascal's triangle leads to entries in alternating rows being vertically aligned. In this talk, I'll explain and prove a linear dependence on vertically aligned entries in Pascal's triangle. Furthermore, I'll show how this result is related to a problem in number theory. Specifically, I'll explain how a search for morphisms between hyperelliptic curves led to the discovery of this identity.

• Wednesday, July 03, 2019, 01:45PM, Marshak 418N

Diana Hubbard (Brooklyn College), Thinking like a topologist

Topology is a large and vibrant area of mathematical research that has its own unique flavor. In this talk I'll introduce some of the basic objects that topologists work with, and get you thinking like a topologist by using pictures, visualizations, and even playing some games.

• Wednesday, June 26, 2019, 01:45PM, Marshak 418N

Alice Medvedev (CCNY and CUNY Graduate Center), 10-adics and 2-adics: decimals with dot-dot-dot on the wrong side

What if decimal expansions had to be finite to the right of the decimal point, but were allowed to be infinite on the left? Certainly, we can still express integers; but what fractions can we express? What numbers have square roots? What familiar properties of addition and multiplication do we lose? Is it better to use base 2, that is binary expansion, like 1011 for eleven? That's all algebra; what is analysis like in this strange world?

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