Julian Pfeifle

Julian Pfeifle is an Associate Professor in the Department of Mathematics at the Polytechnic University of Catalonia (UPC), affiliated with the Terrassa School of Industrial, Aerospace, and Audiovisual Engineering. He is part of the UPC's research group GAPCOMB (Geometric, Algebraic, and Probabilistic Combinatorics). His research focuses on combinatorics, discrete geometry, and algebraic structures, with particular emphasis on polytopes, graph theory, and geometric algorithms.

• Affiliations: Department of Mathematics, UPC; GAPCOMB Research Group.
• Education: Doctorate in Mathematics from UPC (thesis directed by G. M. Ziegler).

His research interests span polytope theory, combinatorial geometry, algebraic combinatorics, and discrete optimization. Recent work includes studies on non-realizability certificates for polytopes, polynomial roots via Gale duality, and geometric constructions using the Cayley trick. He has contributed to projects funded by national and international grants, including the European Science Foundation's 'SDModels' initiative.

Pfeifle has published extensively in top journals like Journal of Combinatorial Theory, Discrete & Computational Geometry, and Experimental Mathematics. His articles often explore polytopal structures, graph algorithms, and combinatorial topology. A notable award is the Richard Rado Preis (Ehrenvolle Anerkennung) for his doctoral thesis.

He has advised doctoral students and contributed to research projects such as 'Geometric, Algebraic and Probabilistic Combinatorics' (AGRUPS-2023) and 'Combinatorics and Complexity of Discrete Geometric Structures' (MTM-funded). His work frequently intersects with computational geometry and combinatorial algorithms, with applications in optimization and discrete mathematics.