This is a list of my publications, last updated July 7th, 2026:
Dispersive estimates for Schrödinger's and wave equations on Riemannian manifolds, preprint, arXiv:2501.06957
Decay estimates for Schrödinger's equation with magnetic potentials in three dimensions (with H. Kwon), preprint, arXiv:2411.11787
Spectral multipliers III: endpoint bounds, intertwining operators, and twisted Hardy spaces (with M. Goldberg), preprint, arXiv:2308.12829
A semilinear Schrödinger equation with random potential (with A. Soffer), preprint, arXiv:1903.03451
Large global solutions for nonlinear Schrödinger equations III, energy-supercritical cases (with Q. Deng, A. Soffer, Y. Wu), preprint, arXiv:1901.07709
Large initial data global well-posedness for a supercritical wave equation (with A. Soffer), preprint, arXiv:1602.08163
The Schrödinger equation with potential in random motion (with A. Soffer), preprint, arXiv:1111.4584, accepted by Letters in Mathematical Physics
The eigenvalue problem for the Laplacian via conformal mapping and the Gohberg-Sigal theory (with J. Hong, H. Kwon, M. Lim), Potential Analysis, 64, 48 (2026)
Spectral multipliers II: elliptic and parabolic operators and Bochner-Riesz means (with M. Goldberg), Journal of Differential Equations, Vol. 453, Part 2, February 2026, 113836
Pluriharmonic solutions to Yang-Mills equations: a C*-algebras approach (with S. Munshi and R. Yang), Complex Anal Synerg 11, 24 (2025), https://doi.org/10.1007/s40627-025-00175-z
Spectral multipliers and wave propagation for Hamiltonians with a scalar potential (with M. Goldberg), Journal of Functional Analysis (2024), Vol. 286, Issue 6, 110300, doi:10.1016/j.jfa.2023.110300
A positivity criterion for the wave equation and global existence of large solutions (with A. Soffer), Int. Math. Res. Notices 20 (2023), pp. 17911-17952, doi:10.1093/imrn/rnad127
Strichartz estimates for the Klein-Gordon equation in R^{3+1} (with G. Chen), Pure Appl. Anal. 4(4), pp. 767-809 (2022), doi:10.2140/paa.2022.4.767
Large global solutions for nonlinear Schrödinger equations II, mass-supercritical, energy-subcritical cases (with Q. Deng, A. Soffer, Y. Wu), Communications in Mathematical Physics (2021) Vol. 382, pp. 173-237, doi:10.1007/s00220-021-03971-w
Large global solutions for nonlinear Schrödinger equations I, mass-subcritical cases (with Q. Deng, A. Soffer, Y. Wu), Advances in Mathematics (2021), Vol. 391, 107973, doi:10.1016/j.aim.2021.107973
Approximate analytical solutions to the heat and Stokes equations on the half-line obtained by Fokas’ transform (with M. Lachaab), Journal of Applied Mathematics and Physics (2021), Vol. 9, No. 4, doi:10.4236/jamp.2021.94055
Structure formulas for wave operators (with W. Schlag), American Journal of Mathematics (2020) 142, No. 3, pp. 751-807, doi:10.1353/ajm.2020.0025
Structure formulas for wave operators under a small scaling-invariant condition (with W. Schlag), J. Spectr. Theory 9 (2019), pp. 967-990, doi:10.4171/jst/268
Large outgoing solutions to supercritical wave equations (with A. Soffer), Int. Math. Res. Notices 20 (2018), pp. 6201-6253, doi:10.1093/imrn/rnx050
Decay estimates for the wave equation in two dimensions, Journal of Differential Equations (2016), Vol. 260, Issue 6, pp. 5378-5420, doi:10.1016/j.jde.2015.12.009
Dispersive estimates in R^3 with threshold eigenstates and resonances, Analysis & PDE 9-4 (2016), pp. 813-858, doi:10.2140/apde.2016.9.813
A centre-stable manifold for the energy-critical wave equation in R^3 in the symmetric setting, Journal of Hyperbolic Differential Equations (2014), Vol. 11, No. 3, pp. 437-476, doi:10.1142/S021989161450012X
Strichartz estimates and maximal operators for the wave equation in R^3 (with M. Goldberg), Journal of Functional Analysis (2014) 266, Issue 3, pp. 147-151, doi:10.1016/j.jfa.2013.11.010
Structure of wave operators for a scaling-critical class of potentials, American Journal of Mathematics (2014) 136, No. 2, pp. 255-308, doi:10.1353/ajm.2014.0011
Potentiels variables et équations dispersives, Séminaire Laurent Schwartz --- EDP et applications (2012-2013), Exp. No. 19, 11 pp., doi:10.5802/slsedp.45
The Schrödinger equation with potential in rough motion (with A. Soffer), Communications in Partial Differential Equations (2012), Vol. 37, Issue 6, pp. 969-1000, doi:10.1080/03605302.2012.668257
Dispersive estimates for the Schrödinger equation with scaling-critical potential (with M. Goldberg), Communications in Mathematical Physics (2012), Vol. 314, Issue 2, pp. 471-481, doi:10.1007/s00220-012-1435-x
A critical centre-stable manifold for Schrödinger's equation in three dimensions, Communications on Pure and Applied Mathematics (2012), Vol. 65, Issue 4, pp. 431-507, doi:10.1002/cpa.21387
New estimates for a time-dependent Schrödinger equation, Duke Mathematical Journal (2011), Vol. 159, No. 3, pp. 417-477, doi:10.1215/00127094-1433394
A centre-stable manifold for the focussing cubic NLS in R^{1+3}, Communications in Mathematical Physics (2008), Vol. 280, Issue 1, pp. 145-205, doi:10.1007/s00220-008-0427-3
Local exact controllability of the diffusion equation in one dimension, Abstract and Applied Analysis (2003), Vol. 2003, No. 14, pp. 793-811, doi:10.1155/S1085337503303033
Papers on ArXiv (most up-to-date listing): link
A conference proceedings volume for which I am listed as an editor:
Nonlinear Dispersive Waves and Fluids, edited by S. Zheng, M. Beceanu, J. Bona, G. Chen, T. V. Phan, A. Soffer, Contemporary Mathematics, Volume 725, AMS Book Series 2019
My ResearchGate profiles are not the best reference for my work, but they can be found here and here
My Ph.D. thesis, written under the supervision of Professor Wilhelm Schlag:
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Also see the 2008-2012 publications on the list above
The following is a paper submitted to SICON in 2005. It is the generalization of my UAIC undergraduate thesis to arbitrarily many dimensions. Posted here is a revised version from 2007 that takes into account the referees' remarks:
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My Princeton undergraduate thesis, supervised by Professors Sergiu Klainerman and Igor Rodnianski:
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My undergraduate thesis at UAIC Iași, supervised by Professor Viorel Barbu:
English Romanian
Also see the 2003 publication on the list above.
My two junior-year projects at Princeton:
The first was done within the Junior Seminar, run by Professor Ramin Takloo-Bighash and Steve J. Miller.
It investigates some elementary properties of the period of the continued fraction of sqrt n.
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The second was done under the supervision of Professor Peter Sarnak.
It provides a computational confirmation of the Taniyama-Shimura conjecture, for non-integer primes in Z[i] of norm up to 45,000.
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Below are some short stories by a classical Romanian writer, I. L. Caragiale, in my translation
You can find the original works here. All of Caragiale's work is out of copyright
Căldură mare (Strong Heat) Original work here
D-l Goe (Mr. Goe) Original work here
Lanțul slăbiciunilor (The Weaknesses' Chain) Original work here
It is customary for a website to include pictures. They can be found here