About

I am currently a PhD researcher in the School of Mathematics, Statistics & Applied Mathematics at NUI Galway. My research is supervised by Dr Emil Sköldberg, wherein I aim to identify families of binomial edge ideals whose minimal free resolutions admit a differential graded algebra structure. More generally, my research interests focus on homological algebra and commutative algebra, with particular attention paid to homological invariants of ideals in polynomial rings. Previously, I graduated with a BA (Hons) in Mathematics at Trinity College Dublin.

Preprints

• P. Phelan, Parity Binomial Edge Ideals with Pure Resolutions.
• D. Mulcahy, P. Phelan, Counting Dimensions of Tangent Spaces to Hilbert Schemes of Points.

Positions

• Organiser of the Postgraduate Seminar Group in Mathematics at NUI Galway.
• Postgraduate Representative for School of Mathematics, Statistics & Applied Mathematics at NUI Galway.

Awards

• Awarded IMLSN Mathematics Learning Support tutor communication skills badge.
• Awarded Hamilton Trust Summer Internship Fund in 2017 & 2018.

Teaching

• Teaching Assistant for Complex Analysis, Fields and Applications, Euclidean and Non-Euclidean Geometry.
• Tutor for SUMS, a mathematics support service provided by NUI Galway.

Links and Contact Information

Email:

P.Phelan3@nuigalway.ie

LinkedIn:

Here

ORCID:

Here

Curriculum Vitae:

Here