Erkan Nane, PhD

Erkan Nane, PhD

  • Professor
  • Mathematics and Statistics
    • (334) 844-6595
    ezn0001@auburn.edu
    Parker Hall 340
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    https://webhome.auburn.edu/~ezn0001/

    Erkan Nane was born and raised in Turkey. He received his BS and MS degrees in Mathematics from Bogazici University. He received his doctorate in Mathematics from Purdue University in 2006. His major advisor was Rodrigo Banuelos. He has visited Michigan State University during August 2006-August 2008. He taught many courses in Mathematics and Statistics at Auburn University where he serves as Professor of Mathematics and Statistics since 2008. At Auburn University he has received an award for teaching and another award for research. His articles have appeared in such journals as Annals of Probability, Stochastic Processes and Their Applications, Transactions of American mathematical Society, Proceedings of American Mathematical Society, and Statistics and Probability Letters. He has hosted more than 20 visitors from around the world.

    Education

    • BS Bogazici University, Istanbul, Turkiye 1998

    • MS Bogazici University, Istanbul, Turkiye 2000

    • PhD Purdue Univrsity 2006

    Professional Experience

    PROFESSIONAL EXPERIENCE

    2022- : Professor, Department of Mathematics and Statistics, Auburn University

    2012-2022 : Associate Professor, Department of Mathematics and Statistics, Auburn University

    2008-2012 : Assistant Professor, Department of Mathematics and Statistics, Auburn University

    2006-2008 : Visiting Assistant Professor(Post-doc), Department of Statistics and Probability,Michigan State University

    2000-2006 : Teaching Assistant in Department of Mathematics, Purdue University

    1998-2000 : Teaching Assistant in Department of Mathematics, Bogazici University, Istanbul

    Innovation

    Probability and its applications to harmonic analysis, partial differential equations, spectral theory

    and geometry;

    Fractional diffusions, fractional stochastic partial differential equations, and time-changed processes:

    path properties, exit times, local times, Hausdorff dimension results, fractional Cauchy

    problems in bounded domains, and stochastic solutions to partial differential equations;

    Stochastic processes: Iterated Brownian motion, composition of symmetric stable Levy processes,

    self-similar processes, Levy processes, inverse stable subordinator, continuous time random walks

    and related stochastic processes.