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Justin Forlano

Hi! I am currently a Hedrick Assistant Adjunct Professor in the maths department at UCLA. My postdoctoral mentors are Rowan Killip and Monica Vişan. I recently obtained my PhD at Heriot-Watt University, as part of the MIGSAA CDT, under the supervision of Oana Pocovnicu and Tadahiro Oh. I am interested in questions related to dispersive PDEs.

Email: forlano@math.ucla.edu.


Papers and preprints

  1. (with K. Seong) Transport of Gaussian measures under the flow of one-dimensional fractional nonlinear Schrödinger equations.
  2. (with L. Tolomeo) On the unique ergodicity for a class of 2 dimensional stochastic wave equations.
  3. (with M. Okamoto) A remark on norm inflation for nonlinear wave equations, Dynamics of Partial Differential Equations, Vol. 17, No. 4 (2020), pp. 361-381.
  4. (with T. Oh) Normal form approach to the one-dimensional cubic nonlinear Schrödinger equation in Fourier-amalgam spaces, preprint.
  5. Almost sure global well-posedness of the BBM equation with infinite L2 initial data, Discrete Contin. Dyn. Syst. A., 40 (2020), 267--318.
  6. (with W. J. Trenberth) On the transport of Gaussian measures under the one-dimensional fractional nonlinear Schrödinger equations, Ann. Inst. H. Poincaré Anal. Non Linéaire 36 (2019), no. 7, 1987--2025.
  7. (with T. Oh, Y. Wang) Stochastic cubic nonlinear Schrödinger equation with almost space-time white noise, J. Aust. Math. Soc. (2019), 1--24, DOI: https://doi.org/10.1017/S1446788719000156

Talks

Conferences/workshops attended

Notes

Teaching

                   
 Fall '21:   (UCLA) Instructor for Math 131A (Analysis), 2 sections
 Spring '21:   (UCLA) Instructor for Math 131A (Analysis)
 Winter '21:   (UCLA) Instructor for Math 32B (Calculus of Several Variables)
 Fall '20:   (UCLA) Instructor for Math 131A (Analysis)
(UCLA) Instructor for Math 170E (Introduction to Probability and Statistics: Part 1 Probability)
 Fall '19:   (UoE) Workshops for Linear Analysis (MATH10082, one-hour tutorial)
(UoE) Workshops for Accelerated Algebra and Calculus for Direct Entry (AAC, MATH08062, two-hour tutorial)
(UoE) Workshops for Several Variable Calculus and Differential Equations (SVCDE, MATH08063, two one-hour tutorials)
 Spring '19:   (UoE) Workshops for Honours Complex Analysis (HCV, MATH10067, one-hour tutorial + two-hour presentation skills)
 Fall '18:   (UoE) Workshops for Honours Analysis (HA, MATH10068, one-hour tutorial + two-hour presentation skills)
 Spring '18:   (UoE) Tutorials for Proofs and Problem Solving (PPS, MATH08059, two-hour tutorial)
 Fall '15:(Monash) Tutorials for Engineering mathematics (ENG1091, two-hour tutorial)
 Spring '15:   (Monash) Tutorials for Engineering mathematics (ENG1090, two-hour tutorial)

Education

Address

Office MS: 6617A, UCLA Mathematics Department, Los Angeles, CA, 90095-1555.

Contact

Email:  forlano@math.ucla.edu               

Links

Department of Mathematics at  UCLA