1.  Projective spaces as orthogonal modular varieties. Transform. Groups. publish online. (with B. Williams) arXiv

2. Orbits of Jacobi forms and Theta relations. accepted by Sci. China Math. (with V. Gritsenko)  arXiv

3. There are no extremal eutactic stars other than root systems. accepted by Bull. Lond. Math. Soc.  arXiv 

4. On the non-existence of singular Borcherds products. accepted by Amer. J. Math. (with B. Williams) arXiv 

5. The fake monster algebra and singular Borcherds products. accepted by Adv. Math. (with B. Williams) arXiv 

6. Mathieu moonshine and Borcherds products. accepted by Commun. Number Theory Phys. (with B. Williams)   arXiv