I am currently holding a researcher position at the MPI in Leipzig, where I am working as a member of the "Stochastic Topology and its Applications" research group, managed by Erika Roldan. I obtained my PhD in mathematics at KAIST, in Daejeon, Korea, under the supervision of professor Harry Hyungryul Baik. Before that, I obtained my bachelor and master degree from ULB in Brussels, Belgium. My master degree thesis was supervised by professor Dimitri Leemans.
On residual connectedness in chiral geometries (with D. Leemans), Algebraic Combinatorics, Volume 4 (2021) no. 3, pp. 491-499. doi : 10.5802/alco.162. https://alco.centre-mersenne.org/articles/10.5802/alco.162/
A new algorithm to classify chiral polytopes with a given automorphism group (with F. Buekenhout, D. Leemans), Beiträge zur Algebra und Geometrie/Contributions to Algebra and Geometry. 2021 Mar;62(1):21-36.
Topological and dynamical properties of Torelli groups of partitioned surfaces (with H. Baik, H. Shin), Geom Dedicata 218, 38 (2024)
Automorphism and outer automorphism groups of right-angled Artin groups are not relatively hyperbolic (with J.Kim, S. Oh), Bulletin of the Australian Mathematical Society. 2021 Apr 30:1-1
Topological entropy of pseudo-Anosov maps on punctured surfaces vs. homology of mapping tori (with H. Baik, J. Baik, C. Kim), Glasnik Matematicki.
Liftable automorphisms of RAAG's (with S. Oh, D. Seo), Journal of Group Theory.
Thurston Unit Ball of a Family of n-chained Links and Their Fibered Face (with Juheon Baik), Osaka Journal of Mathematics
On trialities and their absolute geometries (with D.Leemans and K.Stokes), Advances in Geometry, Volume 24 Issue 4.
Flag transitive geometries with trialities but no dualities from Suzuki groups (with D.Leemans and K.Stokes), Journal of Combinatorial Theory, Series A.
Triples of Involutions in PGL(2,q) and their incidence geometries, Innovation of Incidence Geometry.
Constructing new geometries: a new approach to halving for hypertopes (with C.Piedade), Combinatorica.
Geometries with trialities arising from linear spaces (with D.Leemans and R.Delaby), preprint.
From group operations to geometric structures: Amalgamations, HNN-extensions and twistings in coset geometries (with C.Piedade), preprint.
Groups represented by incidence geometries (with D.Leemans and K.Stokes), preprint.
Folding polyominoids and their configuration space (with J.Mason, Erika Roldan and Skye Rothstein), work in progress.
Mpi MiS Leipzig
E-mail: tranchida(dot)philippe@gmail(dot)com
philippe(dot)tranchida@mis(dot)mpg(dot)de