Colloquium Series

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Speaker: Professor Maria Victoria Velasco Collado (University of Granada)

Title: An introduction to evolution algebras
Time: Friday, 13 October 2017 15:00
Venue: Science South S3.56, UCD O'Brien Centre

ABSTRACT: Highly abstract mathematical tools, dating from Gregor Mendel (1822-1824) himself, have been used to study laws of genetic inheritance. Many different non-associative algebraic structures, generally known as 'genetic algebras', and represented here by evolution algebras, have attracted the interest of geneticists and also become independently interesting, with applications and connections to other fields of mathematics.

Speaker: Professor Kelly Cline (Carroll College, Helena, Montana, USA)

Title: Teaching Undergraduate Mathematics with Clickers and Classroom Voting
Time: Monday, 13th November 2017 15:00
Venue: Science Hub H2.38 UCD O'Brien Centre

ABSTRACT: Classroom voting with clickers is a powerful way to create a highly interactive lesson and to engage students in discussions about mathematics. This talk will report on what we’ve learned while conducting several studies of classroom voting in mathematics. How do we organize voting to maximize student engagement and learning? How do we teach all the necessary topics, given the amount of time that classroom voting requires? Research indicates that creating student discussions is a key to how classroom voting impacts student learning. What types of questions produce memorable discussions? What are the best ways to guide student discussions after a vote? What insights can we gain by studying how students vote on different questions? Finally, we’ll introduce our free web-based library containing over 2,000 clicker questions designed for classroom voting in mathematics.

Speaker: Professor Jon Keating , FRS (University of Bristol)

Title: Primes and Polynomials in Short Intervals
Time: Wednesday, 21st February 2018, 15:00—16.00
Venue: Science North N1.25 UCD O'Brien Centre

ABSTRACT: I will discuss a classical problem in Number Theory concerning the distribution of primes in short intervals and explain how an analogue of this problem involving polynomials can be solved by evaluating certain matrix integrals. I will also explain a generalisation to other arithmetic questions with a similar flavour.