Email: firstname.lastname@example.org - Office: B0.13 - CV: link.
Teaching responsibilities 2017-18: MA359 Measure Theory (TA).
Research interests: Fractional PDEs and stochastic jump processes. I have been focusing on time-fractional/nonlocal evolution equations, their wellposedness, regularity and stochastic representation for solutions.
 Hernández-Hernández, M.E., Kolokoltsov, V.N., Toniazzi, L.. Generalised fractional evolution equations of Caputo type. Chaos, Solitons & Fractals, 2017, 102 . pp. 184-196. arXiv.
 Toniazzi L.. Stochastic solutions for space-time fractional evolution equations on bounded domain. Submitted 2018. arXiv.
 Du Q., Toniazzi L., Zhou Z.. Stochastic solutions for time-nonlocal evolution equations. (To be submitted soon).
Conference talks in 2018:
Sep. 2018 - Bielefeld University, Germany. 9th International Conference on Stochastic Analysis and Its Applications.
Sep. 2018 - Swansea University, UK. Probability and NonLocal PDEs Interplay and Cross-Impact.
Sep. 2018 - BCAM, Spain. 6th Fractional Calculus, Probability and Nonlocal Operators Conference.
Tutoring: Applications from undergraduates in search of project ideas are welcome. Possible topics: fractional calculus, differential equations, stochastic jump processes, random walks in random environments.