Abstract: In this talk, we will report a recent joint work with Sefika Kuzgun, Carl Mueller, and Panqiu Xia. In this work, we study the radius of gyration $R_T$ of a self-repellent fractional Brownian motion $\left\{B^H_t\right\}_{0\le t\le T}$ taking values in $\mathbb{R}^d$. Our sharpest result is for $d=1$, where we find that with high probability, $R_T \asymp T^\nu, \quad \text{with}\quad \nu=\frac{2}{3}\left(1+H\right).$ For $d>1$, we provide upper and lower bounds for the exponent $\nu$, but these bounds do not match.