Benjamin Matschke
Research Assistant Professor
Department of Mathematics and Statistics
Boston University
Office: 277
Phone: +16173531481
Email: lastname@bu.edu
Research
Diophantine geometry

Quadratic fields admitting elliptic curves with rational jinvariant and good reduction everywhere, with Abhijit S. Mudigonda, 2021, arxiv, github

Tables of elliptic curves, 2020, github, slides

Tables of number fields, 2020, github

Elliptic curves with good reduction outside of the first six primes, with Alex Best, 2020, arxiv, github

Proofs by example, 2019, arxiv, slides

Solving Sunit, Mordell, Thue, ThueMahler and generalized RamanujanNagell equations via ShimuraTaniyama conjecture, with Rafael von Känel, 2016, accepted at Mem. Amer. Math. Soc., arxiv, github
Data: elliptic curves with good reduction outside S,
abc triples,
Mordell equation,
Sintegral points on elliptic curves of high rank, etc.

Computing integral points on X_{ns}^{+}(p), with Aurélien Bajolet and Yuri Bilu, 2018, accepted at Algebra Number Theory, arxiv, github
Higher spectral sequences

Lecture notes for a minicourse on (higher) spectral sequences: pdf, slides

Higher spectral sequences, 2014, pdf

Successive spectral sequences, 2013, arxiv
Topological combinatorics

Quadrilaterals inscribed in convex curves, 2018, accepted at Trans. Amer. Math. Soc., arxiv
 A survey on the Square Peg Problem, Notices Amer. Math. Soc. 61 (4), 2014, 346352, pdf

A parametrized version of the BorsukUlamBourginYangVolovikov theorem, 2013, J. Topol. Anal. 6 (2), 2014, 263280, 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, 88101, 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, 14451452, pdf, arxiv

Optimal bounds for a colorful TverbergVrećica type problem, with Pavle Blagojević and Günter Ziegler, 2009, Adv. Math. 226 (6), 2011, 51985215, pdf, arxiv

Optimal bounds for the colored Tverberg problem, with Pavle Blagojević and Günter Ziegler, 2009, J. Eur. Math. Soc. 17 (4), 2015, 739754, 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 5dimensional prismatoids, with Francisco Santos and Christophe Weibel, Proc. London Math. Soc. 110 (3), 2015, 647672, pdf, arxiv, avi

Prodsimplicialneighborly polytopes, with Vincent Pilaud and Julian Pfeifle, 2009, Discr. Comput. Geom. 46 (1), 2011, 100131, pdf, arxiv
Extended abstracts