RAMMP Summer Colloquium
All talks

Wednesday, July 24, 2019, 01:45PM, Marshak 418N
Katherine St. John (Hunter College, CUNY GC, AMNH), Analyzing Evolutionary HistoriesTrees 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 superexponentially 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 DiceNote 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 TheoryThe 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 topologistTopology 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), 10adics and 2adics: decimals with dotdotdot on the wrong sideWhat 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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