My current research interests focus on mathematical fluid mechanics and mathematical biology.

In the past, I have also worked on reaction-diffusion equations and spectral theory of Schredinger operators.

Office Location: | |

Office Phone: | (919) 660-2839 |

Email Address: |

**Teaching (Fall 2018):**

- MATH 690-32.01,
*TOPICS IN ANALYSIS*Synopsis- Physics 205, WF 01:25 PM-02:40 PM

**Education:**Ph.D. California Institute of Technology 1997

**Keywords:**Biology--Mathematical models • Fluid mechanics • Reaction-diffusion equations • Spectral theory (Mathematics)

**Recent Publications**- Kiselev, A; Tan, C,
*Finite time blow up in the hyperbolic Boussinesq system*, Advances in Mathematics, vol. 325 (February, 2018), pp. 34-55 [doi] [abs] - Choi, K; Hou, TY; Kiselev, A; Luo, G; Sverak, V; Yao, Y,
*On the Finite-Time Blowup of a One-Dimensional Model for the Three-Dimensional Axisymmetric Euler Equations*, Communications on Pure & Applied Mathematics, vol. 70 no. 11 (November, 2017), pp. 2218-2243 [doi] - Kiselev, A; Yao, Y; Zlatoš, A,
*Local Regularity for the Modified SQG Patch Equation*, Communications on Pure & Applied Mathematics, vol. 70 no. 7 (July, 2017), pp. 1253-1315 [doi] - Kiselev, A; Ryzhik, L; Yao, Y; Zlatoš, A,
*Finite time singularity for the modified SQG patch equation*, Annals of Mathematics, vol. 184 no. 3 (November, 2016), pp. 909-948 [doi] - Kiselev, A; Xu, X,
*Suppression of Chemotactic Explosion by Mixing*, Archive for Rational Mechanics and Analysis, vol. 222 no. 2 (November, 2016), pp. 1077-1112 [doi]

- Kiselev, A; Tan, C,