On the nonexistence of k reptile simplices in d^3 and d^4
J. Kyndl, Z. Patakova, The Electronic Journal of Combinatorics 24 (2017) 1–44.

Unified Hanani Tutte theorem
R. Fulek, J. Kyndl, D. Pálvölgyi, Electronic Journal of Combinatorics 24 (2017).