Stage 4 (Total: 89%)

• MAS8091 - MMath Project: 85%

• MAS8703 - Geometries and Designs: 84%

• MAS8708 - Graphs and Symmetries: 91%

• MAS8751 - Algebraic Topology: 91%

• MAS8752 - Galois Theory: 96%

• MAS8753 - Functional Analysis: 91%

• MAS8754 - Topics in Analysis: 93%

Stage 3 (Total: 92.3%)

• MAS3701 - Foundations of Group Theory: 90%

• MAS3702 - Linear Analysis: 93%

• MAS3705 - Matrix Analysis: 96%

• MAS3706 - Topology: 98%

• MAS3707 - Number Theory and Cryptography: 91%

• MAS3709 - Representation Theory: 90%

• MAS3801 - Methods for Differential Equations: 94%

• MAS3802 - Quantum Mechanics: 98%

• MAS3803 - Advanced Fluid Dynamics: 92%

• MAS3806 - Partial Differential Equations and Nonlinear Waves: 92%

• MAS3809 - Variational Methods and Lagrangian Dynamics: 82%

Stage 2 (Total: 93.3%)

• MAS2601 - Mathematical Skills and Career Management: 77%

• MAS2602 - Computing for Mathematics and Statistics: 98%

• MAS2603 - Group Project: 90%

• MAS2701 - Linear Algebra: 93%

• MAS2702 - Complex Analysis: 99%

• MAS2703 - Algebra: 89%

• MAS2801 - Vector Calculus: 90%

• MAS2802 - Differential Equations, Transforms and Waves: 100%

• MAS2803 - Fluid Dynamics: 95%

• MAS2901 - Introduction to Statistical Inference: 93%

• MAS2902 - Stochastic Modelling: 99%

• MAS2903 - An Introduction to Bayesian Methods: 97%

Stage 1 (Total: 87.5%)

• MAS1601 - Introduction to Calculus: 90%

• MAS1602 - Introductory Algebra: Complex Numbers, Vectors and Matrices: 89%

• MAS1603 - Multivariable Calculus and Differential Equations: 99%

• MAS1604 - Introduction to Probability: 87%

• MAS1701 - Logic, Sets and Counting: 77%

• MAS1702 - Number Systems: 88%

• MAS1801 - Problem Solving I: 74%

• MAS1802 - Problem Solving II: 80%

• MAS1901 - Optimisation with Constraints: 86%

• MAS1902 - Dynamics: 97%

• LPJ1101 - University Wide Language Programme: Japanese Elementary 1: 79%

Research

A prevalent trend in the theory of operator algebras is the study of geometric/topological structures via bounded linear operators on a Hilbert space. The overarching idea is to associate a given geometric/topological structure with an operator algebra (usually a C*-algebra or von Neumann algebra), and use the rich structural theory of the latter to analyse the former (and vice versa). Examples of structures amenable to this kind of analysis include graphs and dynamical systems. Viewing such structures via an operator theoretic lens lay at the heart of my PhD research.

Preprints, Papers and Monographs

• J.A. Dessi, E.T.A. Kakariadis, I.A. Paraskevas, A note on Arveson's hyperrigidity and non-degenerate C*-correspondences, preprint (32 pages)

• J.A. Dessi and E.T.A. Kakariadis, Equivariant Nica-Pimsner quotients associated with strong compactly aligned product systems, Dissertationes Mathematicae 599 (2024), 130 pp., doi 10.4064/dm240124-2-12 

Postgraduate Training

Operator Algebras and Groupoid C*-Algebras (February 2022 - July 2022)
I attended this course remotely via Zoom. The course, consisting of weekly lectures lasting 90 minutes each and focusing on C*-algebras and groupoids, was delivered by Dr Tristan Bice and Dr Karen Strung at the Institute of Mathematics of the Czech Academy of Sciences. For the course assessment, I delivered a 50 minute talk on my own research at an in-person workshop in Prague (see the Talks section for further details).

Algebras of Operators on Banach Spaces and Operator Ideals (October 2021 - January 2022)
I attended this course remotely via Zoom. The course, consisting of weekly lectures lasting 90 minutes each and focusing on Fredholm operators, Riesz operators and Schauder bases (among other topics), was delivered by Dr Bence Horváth and Dr Tommaso Russo at the Institute of Mathematics of the Czech Academy of Sciences. For the course assessment, I delivered a 50 minute talk on Johnson's Theorem (see the Talks section for further details).

Operator Algebras That One Can See II (March - June 2021)
I attended this course remotely via Zoom. The course, focusing on the interplay of C*-algebras and graphs, was delivered by Professor Piotr M. Hajac at the Mathematical Institute of the Polish Academy of Sciences. The course consisted of weekly lectures and recitation classes.

The 24th Internet Seminar on C*-Algebras and Dynamics (October 2020 - June 2021)
ISEM24 consisted of 3 phases: the lecture phase (October 2020 - February 2021), the project phase (March 2021 - May 2021) and the final workshop (June 2021). For the lecture phase, I read 13 sets of lecture notes covering the basics of C*-algebras and C*-dynamical systems. For the project phase, I worked with a small international group to prove that the free group on 2 generators is C*-simple. During the final workshop (which took place remotely), my group and I presented our work from the project phase. My slides can be found here, and the conference photo can be found here (see row 4, column 4 for me!).

Postgraduate Researcher Development Programme (September 2020 - September 2022)
This programme offered by Newcastle University serves to provide PhD students with transferable skills that are extraneous to their research. I attended various workshops in this programme during the first 2 years of my PhD studies.

Talks

University of Glasgow Analysis Seminar (September 2024)
Venue: University of Glasgow
Talk title: Gauge-invariant ideal structure of C*-algebras associated with strong compactly aligned product systems, 50 minutes

UK Operator Algebras Conference 2024 (June 2024)
Venue: Newcastle University
Talk title: Gauge-invariant ideal structure of C*-algebras associated with strong compactly aligned product systems, 20 minutes

University of Oxford Functional Analysis Seminar (April 2024)
Venue: University of Oxford
Talk title: Gauge-invariant ideal structure of C*-algebras associated with strong compactly aligned product systems, 60 minutes

Young Functional Analysts' Workshop 2024 (April 2024)
Venue: Newcastle University
Talk title: Gauge-invariant ideal structure of C*-algebras associated with strong compactly aligned product systems, 20 minutes

Newcastle University Analysis Seminar (November 2023)
Venue: Newcastle University
Talk title: Gauge-invariant ideal structure of C*-algebras associated with strong compactly aligned product systems, 60 minutes

Twinned Conference on C*-Algebras and Tensor Categories (November 2023)
Venue:  International Centre for  Mathematical Sciences
Talk title: Equivariant Nica-Pimsner quotients associated with strong compactly aligned product systems, 5 minutes

British Early Career Mathematicians' Colloquium (July 2023)
Venue: Birmingham University
Talk title: Gauge-invariant ideal structure of C*-algebras associated with strong compactly aligned product systems, 20 minutes

SAgE PGR Conference (January 2023)
Venue: Newcastle University
Talk title: Gauge-invariant ideal structure of C*-algebras associated with strong compactly aligned product systems, 15 minutes

Algebras of Operators on Banach Spaces and C*-Algebras Mini-workshop (July 2022)
Venue: Institute of Mathematics of the Czech Academy of Sciences
Talk title: Gauge-invariant ideal structure of C*-algebras associated with strong compactly aligned product systems, 50 minutes

Algebras of Operators on Banach Spaces and Operator Ideals Course (February 2022)
Venue: Remote
Talk title: Johnson's Theorem: An Introduction to Automatic Continuity Theory, 50 minutes

The 24th Internet Seminar on C*-Algebras and Dynamics Final Workshop (June 2021)
Venue: Remote
Talk title: The Reduced Group C*-Algebra of a Free Group and C*-Simplicity,  90 minutes
Note: I contributed to this talk as part of a group. I presented the first 9 slides (~12 minutes).

SAgE PGR Conference (July 2021)
Venue: Remote
Talk title: C*-Correspondences, Product Systems and their C*-Algebras, 15 minutes

Conferences, Seminars and Workshops

University of Glasgow Analysis Seminar (September 2024, University of Glasgow)

UK Operator Algebras Conference 2024 (June 2024, Newcastle University)

University of Oxford Functional Analysis Seminar (April 2024, University of Oxford)

Young Functional Analysts' Workshop 2024 (April 2024, Newcastle University. I was a member of the organising committee for this conference)

North British Functional Analysis Seminar (April 2024, Lancaster University)

Newcastle University Analysis Seminar (November 2023, Newcastle University)

Twinned Conference on C*-Algebras and Tensor Categories (November 2023, International Centre for Mathematical Sciences)

British Early Career Mathematicians' Colloquium (July 2023, Birmingham University)

Functional Analysis and Operator Algebras in Athens (March 2023, attended remotely)

SAgE PGR Conference (January 2023, Newcastle University)

Baby Steps Beyond the Horizon: Mathematics for Students (August 2022, attended remotely)

Algebras of Operators on Banach Spaces and C*-Algebras Mini-Workshop (July 2022, Institute of Mathematics of the Czech Academy of Sciences)

Aitken Lecture (June 2022, attended remotely)

Functional Analysis and Operator Algebras Seminar (February 2022, attended remotely)

The 9th Workshop on Operator Algebras and their Applications (February 2022, attended remotely)

Greek Mathematical Seminar (November 2021, attended remotely)

Baby Steps Beyond the Horizon: Mathematics for Students (September 2021, attended remotely)

Online Summer School on K-Theory and Representation Theory (July 2021, attended remotely)

SAgE PGR Conference (July 2021, attended remotely)

The 24th Internet Seminar on C*-Algebras and Dynamics Final Workshop (June 2021, attended remotely)

Functional Analysis and Operator Algebras Seminar (March 2021, attended remotely)

UK Virtual Operator Algebras Seminar (February 2021, attended remotely)

Hilbert C*-Modules Online Weekend (December 2020, attended remotely)

Ongoing Attendances:

• Newcastle University Analysis Seminar Series

• Newcastle University Algebra and Geometry Seminar Series

• North Atlantic Noncommutative Geometry Seminar Series

• North British Functional Analysis Seminar

Achievements

• Shortlisted for the Outstanding Contribution to Academic Support Teaching Award at Newcastle University (April 2025).

• John Anderson Memorial Prize (2020): awarded for outstanding academic performance in the fourth year of my degree programme, ranking first among my cohort.

• Barry Johnson Memorial Prize (2019): awarded for outstanding academic performance in the third year of my degree programme, ranking first among my cohort.

• John Anderson Memorial Prize (2018): awarded for outstanding academic performance in the second year of my degree programme, ranking first among my cohort.

• Endowed Prize (2017): awarded for outstanding academic performance in the first year of my degree programme, ranking second among my cohort.

• Reached the finals of the Times Spelling Bee (June 2010).

Other Interests