## Dr Matthew C. Lettington

### Overview

Telephone: +44(0)29 208 75670

Fax: +44(0)29 208 74199

Extension: 75670

Location: M/2.50

#### Research Interest

Integer points close to convex hypersurfaces and polytopes.

Identities for the Zeta function at integer values.

Combinatorial and number theoretic properties of symmetric matrices under matrix multiplication.

Modelling techniques for industry (such as SSA).

#### Research Group

#### Teaching

**Spring Semester**

MA0216 Elementary Number Theory II

MA4011 Combinatorial and Analytic Number Theory

**Autumn Semester**

On Research Leave from Summer 2015 until February 2016.

#### Previous Teaching

**2010-2011**

MA0104 Modelling (with differential and difference equations)

MA0111 Elementary Number Theory I

MA3004 Combinatorics

**2011-2012**

MA1000 Calculus

MA0111 Elementary Number Theory I

MA2002 Matrix Algebra

MA0216 Elementary Number Theory II

**2012-2013**

MA0111 Elementary Number Theory I

MA0216 Elementary Number Theory II

MA2002 Matrix Algebra

#### Administrative Duties

Undergraduate Project Co-Ordinator

**2013-2014
**

MA4011 Analytic Number Theory

MA0216 Elementary Number Theory II

MA3004 Combinatorics

### Publications

### Research

#### Major Conference Talks

August 2008. A dynamic approach to product sales forecasting. SMiCR, Cardiff.

May 2013. Recent progress in Bernoulli relations, their implications for the Ramanujan polynomials and the special values of the Riemann zeta function, Wales Mathematics Colloquium, Gregynog.

May 2014. Higher-Dimensional Lucas and Fibonacci Sequences, Wales Mathematics Colloquium, Gregynog.

March 2015, On Higher Dimensional Interlacing Fibonacci Sequences, Continued Fractions and Chebyshev Polynomials (Abstract), LMS, WIMCS – Bath Analysis Day, Swansea University.

July 2015, On Higher Dimensional Interlacing Fibonacci Sequences, Continued Fractions and Chebyshev Polynomials (Abstract), 29th Journées Arithmétiques JA 2015, Debrecen University, Hungary.

#### ESGI 80 Collaboration

April 2011. Loading on the electricity grid from distributed energy storage systems.

#### Seminar Talks

February 2014. On rational convergents to the cosine of rational multiples of Pi, Analysis Seminar Programme, Cardiff.

March 2012. Recent progress in the distribution of lattice points near to convex surfaces and polytopes. Analysis Seminar Programme, Cardiff

#### Educational and Media Outreach

Recently advised and participated in an episode for a new series to appear on the Discovery Channel in 2015. More details to follow once the show goes live.

#### Reviewer

Zentralblatt

#### Research Leave

Summer 2015 - February 2016

### Postgraduate Students

#### Current

Sally Hill - Some Problems in the Theory of Numbers and Quadratic Forms

David Humphreys -

### Biography

#### Qualifications

BSc – University of Wales, Cardiff, 1994

PhD – Cardiff University, 2008

#### Previous Positions

June 2006 – Aug 2010: Mathematical Consultant, JSC Management und-Technologieberatung AG, Eltville, Germany.

Oct. 2008 – April 2010: Lecturer in Mathematics, Gloucestershire College, Cheltenham.

Sep. 2010 - April 2012: Lecturer in Mathematics (Part Time), Cardiff University

May 2012 - Present: Lecturer in Mathematics (SBP Fellowship), Cardiff University