Benjamin Matschke

Research Assistant Professor
Department of Mathematics and Statistics
Boston University

Office: 277
Phone: +1-617-353-1481
Email: lastname@bu.edu

Diophantine geometry

Proofs by example, 2019, arxiv
Solving S-unit, Mordell, Thue, Thue-Mahler and generalized Ramanujan-Nagell equations via Shimura-Taniyama conjecture, with Rafael von Känel, 2016, arxiv, github
Data: elliptic curves with good reduction outside S, abc triples, Mordell equation, S-integral points on elliptic curves of high rank, etc.
Computing integral points on X_ns^+(p), with Aurélien Bajolet and Yuri Bilu, 2018, arxiv, github

Higher spectral sequences

Topological combinatorics

Quadrilaterals inscribed in convex curves, 2018, arxiv
A survey on the Square Peg Problem, Notices Amer. Math. Soc. 61 (4), 2014, 346-352, pdf
A parametrized version of the Borsuk-Ulam-Bourgin-Yang-Volovikov theorem, 2013, J. Topol. Anal. 6 (2), 2014, 263-280, pdf
On the square peg problem and some relatives II, 2013, pdf
Projective center point and Tverberg theorems, with Roman Karasev, 2012, Discrete Comput. Geom. 52 (1), 2014, 88-101, pdf, arxiv
Equivariant topology methods in discrete geometry, 2011, phd thesis, pdf, library copy
A tight colored Tverberg theorem for maps to manifolds, with Pavle Blagojević and Günter Ziegler, 2010, Topol. Appl. 158 (12), 2011, 1445-1452, pdf, arxiv
Optimal bounds for a colorful Tverberg-Vrećica type problem, with Pavle Blagojević and Günter Ziegler, 2009, Adv. Math. 226 (6), 2011, 5198-5215, pdf, arxiv
Optimal bounds for the colored Tverberg problem, with Pavle Blagojević and Günter Ziegler, 2009, J. Eur. Math. Soc. 17 (4), 2015, 739-754, pdf, arxiv, java applet
Equivariant Topology and Applications, 2008, diploma thesis, pdf
A note on masspartitions by hyperplanes, 2009, pdf, arxiv
On the square peg problem and some relatives, 2009, pdf, arxiv, java applet

Polytopes

The width of 5-dimensional prismatoids, with Francisco Santos and Christophe Weibel, Proc. London Math. Soc. 110 (3), 2015, 647-672, pdf, arxiv, avi
Prodsimplicial-neighborly polytopes, with Vincent Pilaud and Julian Pfeifle, 2009, Discr. Comput. Geom. 46 (1), 2011, 100-131, pdf, arxiv