Professor Volkov's research in applied mathematics relies on Partial Differential Equations theory, Integral Equations theory, and asymptotic and numerical methods. He is interested in abstract existence and uniqueness questions as well as inverse problems and their numerical solutions. Applications of his research include electromagnetic theory, wave propagation, and seismology. He has been teaching all levels of math classes, from Calculus to Graduate Analysis. He particularly enjoys how WPI students are forthcoming in talking to him outside class time, as he believes that the most valuable learning experience occurs during one-on-one discussions.