School of Mathematics, Statistics and Physics

Staff Profile

Dr Evgenios Kakariadis

Lecturer in Pure Mathematics

Background

Dr Evgenios Kakariadis is a Lecturer in Pure Mathematics for the School of Mathematics, Statistics & Physics at Newcastle University. His area of expertise is operator algebras.

Current roles:

  • Secretary of the North British Functional Analysis Seminars.
  • Teaching Curriculum Coordinator for the Pure Mathematics Section.

Professional Appointments:

  • 2014 - today: Lecturer in Pure Mathematics, School of Mathematics and Statistics, Newcastle University, UK.
  • 2013 - 2014: Postdoctoral Fellow, Dept of Mathematics, Ben Gurion University, Israel. Supervisor: Orr M. Shalit.
  • 2011 - 2013: Postdoctoral Fellow, Dept of Pure Mathematics, University of Waterloo, Canada. Supervisor: Kenneth R. Davidson.

Education:

  • 2011: PhD in Mathematics, Dept of Mathematics, University of Athens, Greece. Advisor: Aristides Katavolos.
    PhD Thesis: Operator Spaces and Operator Algebras: Semicrossed Products of Operator Algebras.
  • 2007: MSc in Pure Mathematics, Dept of Mathematics, University of Athens, Greece. Advisor: Marina Haralampidou.
    MSc Thesis: Wedderburn-type Structure Theorems in Topological Algebras.
  • 2004: Ptychion in Mathematics, Dept of Mathematics, University of Athens, Greece.

Languages:

  • English.
  • French.
  • Greek (native).

Databases:

Teaching

2018-2019:

  • Semester 1: MAS8754 Topics in Analysis.
  • Semester 2: MAS1802 Problem Solving.

Teaching Certificates:

  • Fellow of the Higher Education Academy (2017).
  • Newcastle Teaching Award (2016).
  • Associate Fellow of the Higher Education Academy (2015).

Recognition:

  • Nominated for the Teaching Excellence Award in the Research Supervision category by the Students' Union (2016/17).
  • Shortlisted for the Teaching Excellence Award in the Outstanding Feedback category by the Students' Union (2014/15).
  • Shortlisted for the Teaching Excellence Award in the Outstanding Feedback category by the Students' Union (2014/15).

Committees:

  • School Business and Engagement Committee (2018/today).
  • School Recruitment Committee (2017/18).
  • School Outreach Committee (2016/17).
  • School Research Committee (2016/17).
  • School Management Committee (2015/16).
  • School Learning and Teaching Committee (2015/16).
  • School Teaching Quality Group (2015/16).

Research

PhD Students:

  • Matina Trachana 2017/today (co-supervisor).
  • Robbie Bickerton 2015/today (main supervisor).
  • William Norledge 2014/2017 (co-supervisor).

MMath Projects:

  • Frances Bingham 2018/19.
  • Chris Barrett 2016/17.

VIVA Examinations:

  • Undrakh Batzorig 2017, Newcastle University (Internal Examiner).
  • David Brown 2016, Newcastle University (Internal Examiner).

Research Interests:

In the past 50 years, a major trend in Operator Theory focuses on the use of operator algebras for encoding geometrical and topological objects. Operator algebras may be considered as algebras of (bounded in norm) infinite matrices with complex entries. A central aspect of the program is to explore the passage from intrinsic properties of the object into properties of the associated operator algebras, and use invariants of the latter to classify the former. There are two interrelated questions that orientate the course of study:

  • (Q.1) Which (desirable) features of the object determine the operator algebra?
  • (Q.2) What is the (desirable) level of equivalence for classifying objects?

Examples of examined objects so far include tilings, tangles, graphs, dynamical systems, groups, semigroups, varieties, homogeneous ideals, and stochastic matrices. My research so far incorporates operator algebras (both selfadjoint and non-selfadjoint) in terms of representation theory, dilation theory, ideal structure, KMS-states theory, C*-envelopes, reflexivity, and hyperrigidity, for objects related to C*-correspondences, product systems, subproduct systems, semigroup actions on operator algebras, dynamical systems, and homogeneous ideals.

Publications