Academic research
My work spans two fields. Enumerative combinatorics was the subject of my PhD. Machine learning applied to cancer genomics has occupied me since 2022.
Articles
Γ-VAE: Curvature regularized variational autoencoders for uncovering emergent low dimensional geometric structure in high dimensional data
Jason Z. Kim, Nicolas Perrin-Gilbert, Erkan Narmanli, Paul Klein, Christopher R. Myers, Itai Cohen, Joshua J. Waterfall, James P. Sethna.
On the enumeration of plane bipolar posets and transversal structures
Erkan Narmanli, Éric Fusy, Gilles Schaeffer. Extended abstract published at EuroComb'21.
Multi-omics comparison of malignant and normal uveal melanocytes reveals molecular features of uveal melanoma
David Gentien, Elnaz Saberi-Ansari, …, Erkan Narmanli, …, Sergio Roman-Roman, Joshua J. Waterfall.
Enumeration of corner polyhedra and 3-connected Schnyder labelings
Erkan Narmanli, Éric Fusy, Gilles Schaeffer. Extended abstract published at FPSAC'22.
Talks
Counting planar maps linked to corner polyhedra
Counting planar maps linked to corner polyhedra
Decorated maps and quadrant tandem walks
On the enumeration of plane bipolar posets and transversal structures
Research internships
At Universitat Politècnica de Catalunya
Research internship in combinatorics on chordal graphs and maps, supervised by Marc Noy.
At École Polytechnique
Research internship in combinatorics on the peeling of planar maps, at the LIX, supervised by Gilles Schaeffer.
Dissertations
Épluchage des bois de Schnyder et des structures transverses
Supervised by Gilles Schaeffer. Written in French.
Jacobienne de graphes aléatoires
With Ludovic Stephan, supervised by Omid Amini. Written in French.
Absence de percolation au point critique dans une tranche
With Martin Pépin, supervised by Raphaël Cerf. Written in French.
La fonction zêta de Riemann et la répartition des nombres premiers
Supervised by Samuel Baumard. Written in French.