Dr. Mustafa Avci

Dr. Avci is an Assistant Professor of Applied Mathematics whose research explores the rich interface between analysis, probability, and mathematical modeling. His work focuses on variable exponent Lebesgue and Sobolev spaces, with particular attention to the p(x)-Laplacian and nonlinear PDEs. He employs variational, topological, and monotone operator methods to study challenging analytical problems arising in modern applied mathematics. Dr. Avci also specializes in the analysis of stochastic differential equations and stochastic processes, emphasizing their deep connections with partial differential equations. His research frequently investigates how probabilistic methods can illuminate the behavior of deterministic systems. In addition, he is interested in measure-theoretic probability and its applications across scientific disciplines. Dr. Avci’s work is motivated by problems in mathematical physics, finance, and other fields where randomness and nonlinearity play central roles. Through both theoretical development and applied modeling, he aims to advance the understanding of complex systems governed by stochastic and nonlinear phenomena.

He earned his PhD in Mathematics from Dicle University in 2011 and later completed a postdoctoral fellowship in the Department of Mathematics at Morgan State University from September 2014 to October 2015.

Discover my research

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Research interests

• Variable Exponent Lebesgue Spaces
• Analysis of Partial Differential Equations (PDEs)
• Analysis of Stochastic Differential Equations (SDEs)
• Stochastic Analysis & Applications
• The interplay of probability theory and PDEs
• Probabilistic models of finance and mathematical physics

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Educational credentials

• PhD Mathematics, Dicle University
• MSc Mathematics, Dicle University
• BSc Mathematics, Dicle University

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