How to write mathematics badly

(this is for test purposes only).

• 10:43 Slide 4: $\int_0^\infty e^t dt$ should read $\int_0^\infty X(t) e^t dt$
• 30:21 Audience question “Is this related to the work of A. Smith on Ricci flow?”
• 32:21 Audience question “could you go back to slide 10, what is the difference between this equation and  the one shown there?”
• 45:21 Slide 15: The first theorem was incorrectly attributed to J. Doe. It was proved earlier by XYZ in the  2008 JAMS paper “On the number of solutions of $\frac{df}{dt}=\ddot V$”
• Since giving this talk, related work of Y.M. has appeared in a preprint available at https://arxiv.org/pdf/2509.01594.