Philip Brinkmann

About

Since September 2013 I am a student in the research training group Methods for Discrete Structures, and the Berlin Mathematical School. Whithin these programs I do my PhD in mathematics with Günter M. Ziegler at Freie Universität Berlin. In my PhD project I work on a better understanding of the sets of flag vectors of polytopes, spheres and Eulerian lattices, where I am particuliarly interested in the questions in to which extend these sets coincide and where the differences are.

Before I started my PhD I studied mathematics at Georg-August-Universität Göttingen (B.Sc.), University of Swansea (ERASMUS Semester), and Freie Universität Berlin (M.Sc.).

Besides math, I'm interested in Ultimate Frisbee, kajaking and music (Marimbaphone, timps, percussion). I'm married with Geeske Brinkmann.

Conferences and Talks

• Workshop on Discrete and Non-Linear Geometry, Berlin, 17.06.2016; talk: Enumeration of 3-Spheres
• Discrete Geometry Seminar, Berlin, 14.04.2016; talk: Enumeration of 3-Spheres
• MDS Statusworkshop, 30.-31.10.2015; talk:The first example of a sphere with a flag vector that is not the flag vector of a polytope
• MDS Monday Lectures, Berlin, 06.07.2015; colloquium talk:The first example of a sphere with a flag vector that is not the flag vector of a polytope
• BMS Summer School - Convex geometry - discrete and computational, Berlin, 29.06.-10.07.2015
• Discrete Geometry Seminar, Berlin, 12.02.2015; talk: Flag Vector Spaces of Polytopes, Spheres and Eulerian Lattices
• The 18th Midrasha Mathematicae: In and Around Combinatorics, Jerusalem, 18.-31.01.2015; poster: Flag Vectors of Polytopes, Spheres and Eulerian Lattices
• MDS Statusworkshop, 16.-18.10.2014; talk: Flag vector spaces of polytopes, spheres and Eulerian lattices
• Discrete Models in Geometry and Topology - Third ERC "SDModels" Workshop, Berlin, 23.-26.03.2015
• Symposium Diskrete Mathematik 2014, Frankfurt a. M., 09.-10.05.2014
• Second ERC "SDModels" Workshop, Berlin, 07.-09.10.2013

Publications

• K. Adiprasito, P. Brinkmann, A. Padrol, P. Paták, Z. Patáková, R. Sanyal, Colorful simplicial depth, Minkowski sums, and generalized Gale transforms; arXiv:1607.00347
• P. Brinkmann, G. M. Ziegler, A flag vector of a 3-sphere that is not the flag vector of a 4-polytope; arXiv:1506.08148, to appear in Mathematika, London