RP1: Algebraic modeling of topological structures

RP1 consists in three research subsections:

• 1.1: Knot invariants – framization of knot algebras
• 1.2: Knots and braids in 3-manifolds
• 1.3: Poly-free groups, Lie algebras, braid groups and homotopy groups of spheres

(Researchers include: Lambropoulou, Kauffman, Juyumaya, Chmutov, Jablan, Przytycki, Klaus, Prassidis, Metaftsis, Kechagias, Kontogeorgis, Papalexiou, Kodokostas, Chlouveraki, Pouchin, Goundaroulis, Diamantis, Gügümcü, Karvounis)

RP2: Algebraic modeling of applications

RP2 consists in three applications:

• 2.1: Topological study of polymer entanglements
• 2.2: Molecular simulation of ionic liquids
• 2.3: Dynamical systems and topological surgery

(Researchers include: Theodorou, Kauffman, Lambropoulou, Economou, Millett, Tzoumanekas, Panagiotou, Androulaki, Vergadou, Samardzija, Antoniou)

RP3: Algebraic modeling of computational structures

RP3 consists in the following subsections::

• 3.1: Modeling based on algebraic specifications
• 3.2: Algebraic techniques for the modeling of video
• 3.3: Cryptography and coding theory
• 3.4: Applications in medical imaging

(Researchers include: Stefaneas, Kauffman, Lambropoulou, Frangos, Antoniadis, Kontogeorgis, Arkoudas, Ouranos, Kalampakas, Karali, Konstantinou, Triantafyllou, Ksystra)