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

Quadratic fields admitting elliptic curves with rational j-invariant and good reduction everywhere, with Abhijit S. Mudigonda, 2021, arxiv, github
Tables of elliptic curves, 2020-21, github, slides
Tables of number fields, 2020, github
Elliptic curves with good reduction outside of the first six primes, with Alex Best, accepted at Simons Symposia series Arithmetic geometry, number theory, and computation, arxiv, github
Proofs by example, 2019, arxiv, slides
Solving S-unit, Mordell, Thue, Thue-Mahler and generalized Ramanujan-Nagell equations via Shimura-Taniyama conjecture, with Rafael von Känel, accepted at Mem. Amer. Math. Soc., 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, Algebra Number Theory 15 (3), 2021, 569-608, arxiv, github

Higher spectral sequences

Topological combinatorics

Quadrilaterals inscribed in convex curves, accepted at Trans. Amer. Math. Soc., 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, 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, 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, Topol. Appl. 158 (12), 2011, 1445-1452, pdf, arxiv
Optimal bounds for a colorful Tverberg-Vrećica type problem, with Pavle Blagojević and Günter Ziegler, Adv. Math. 226 (6), 2011, 5198-5215, pdf, arxiv
Optimal bounds for the colored Tverberg problem, with Pavle Blagojević and Günter Ziegler, 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, github

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, Discr. Comput. Geom. 46 (1), 2011, 100-131, pdf, arxiv