Carleton Finite Fields Day 2017

Carleton Finite Fields Day 2017

September 29, 2017
School of Mathematics and Statistics, Carleton University

Theme

We are organizing a day of research talks on any aspect of finite fields and their many diverse applications.

This day is in honour of Gary Mullen's 70th birthday and of the 25th anniversary of the Fields Institute.

Program/talks

All talks will be held in 5345 Herzberg Laboratories at Carleton University. Click here for the slides.

Schedule

9:15 Meet-and-greet and coffee
9:25-9:30 Daniel Panario - Opening remarks
9:30-10:00 Daniel Panario - Some fundamental contributions of Gary Mullen to finite fields
10:00-10:30 Steven Wang - An index approach on the enumeration of permutation polynomials over finite fields
10:30-10:45 Coffee break
10:45-11:15 David Thomson - Class-r hypercubes and related arrays
11:15-12:00 Gary Mullen - Some open problems arising from my recent finite field research
12:00-13:30 Lunch - Carleton Residence Cafeteria (all-you-can-eat buffet ~$12)
13:30-13:55 Lucas Reis - Recursive constructions of irreducible polynomials over finite fields
13:55-14:20 Claudio Qureshi - The graph structure of Chebyshev polynomials over finite fields
14:20-14:45 Alexandr Tuxanidy - A new proof of the Hansen-Mullen irreducibility conjecture
14:45-15:10 Zhicheng Gao - Enumeration of Mullen compositions over finite fields
15:10-15:30 Celebration
15:30-15:55 Kaitlyn Chubb - An algorithm for producing the fixed points of Redei permutation polynomials
15:55-16:20 Claude Gravel - Permutations with Special Properties
16:20-16:45 Kirsten Nelson - Lengthening m-sequences with shift sequences
16:45-17:10 Gary Mullen - Some new Euler functions
19:00 - Dinner at Craft Beer Market - 975 Bank St (Lansdowne location)

Confirmed participants

Kaitlyn Chubb, Carleton University
Zhicheng Gao, Carleton University
Claude Gravel, The Tutte Institute for Mathematics and Computing
Thais Bardini Idalino, University of Ottawa
Michelle Kovesi, University of Oxford
Goldwyn Millar, Carleton University
Lucia Moura, University of Ottawa
Gary L. Mullen, The Pennsylvania State University
Kirsten Nelson, Carleton University
Daniel Panario, Carleton University
Mackenzie Powers, Carleton University
Claudio Qureshi, Unicamp (Brazil) - Carleton University
Lucas Reis, Universidade Federal de Minas Gerais (Brazil) - Carleton University
Neto Rodrigues, Universidade Federal de Pernambuco
David Thomson, Carleton University
Trevor Thompson, Carleton University
Aleks Tuxanidy, Carleton University
Steven Wang, Carleton University

Organizers

Daniel Panario, Carleton University
David Thomson, Carleton University
Steven Wang, Carleton University

Acknowledgement

The Tutte Institute for Mathematics and Computing

September 29, 2017 School of Mathematics and Statistics, Carleton University