An optimal space lower bound for approximating MAX-CUT. - Michael Kapralov; Dmitry Krachun (STOC, 2019)

On some determinants involving Jacobi symbols. - Dmitry Krachun; Fedor Petrov 001; Zhi-Wei Sun; Maxim Vsemirnov (Finite Fields Their Appl., 2020)

Each Positive Rational Number Has the Form φ(m2)/φ(n2). - Dmitry Krachun; Zhi-Wei Sun (Am. Math. Mon., 2020)