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Monica Vișan

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Monica Vișan (born August 5, 1979, in Drobeta-Turnu Severin, Romania) is a Romanian mathematician at the University of California, Los Angeles who specializes in partial differential equations and is well known for her work on the nonlinear Schrödinger equation.

Education and career

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Vișan earned a bachelor's degree at the University of Bucharest in 2002.[1] She became a student of Terence Tao at the University of California, Los Angeles (UCLA), where she completed her doctorate in 2006. Her dissertation was The Defocusing Energy-Critical Nonlinear Schrödinger Equation in Dimensions Five and Higher.[1][2]

After postdoctoral research at the Institute for Advanced Study, Vișan became an assistant professor in the mathematics department at the University of Chicago in 2008. She returned to UCLA as a faculty member in 2009 and (keeping her appointment at UCLA) spent 2010–2011 as Harrington Faculty Fellow at the University of Texas at Austin.[1]

Recognition

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Vișan won a Sloan Research Fellowship in 2010.[3] She was elected as a Fellow of the American Mathematical Society in the 2024 class of fellows.[4]

Selected publications

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With Herbert Koch and Daniel Tătaru, Vișan is the author of the book Dispersive Equations and Nonlinear Waves: Generalized Korteweg–de Vries, Nonlinear Schrödinger, Wave and Schrödinger Maps (Birkhäuser/Springer, 2014).

Her research papers include:

  • Ryckman, Eric; Vișan, Monica (2007), "Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equation in ", American Journal of Mathematics, 129 (1): 1–60, arXiv:math/0501462, doi:10.1353/ajm.2007.0004, MR 2288737, S2CID 190242651-60&rft.date=2007&rft_id=info:arxiv/math/0501462&rft_id=https://mathscinet.ams.org/mathscinet-getitem?mr=2288737#id-name=MR&rft_id=https://api.semanticscholar.org/CorpusID:19024265#id-name=S2CID&rft_id=info:doi/10.1353/ajm.2007.0004&rft.aulast=Ryckman&rft.aufirst=Eric&rft.au=Vișan, Monica&rfr_id=info:sid/en.wikipedia.org:Monica Vișan" class="Z3988">
  • Vișan, Monica (2007), "The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions", Duke Mathematical Journal, 138 (2): 281–374, arXiv:math/0508298, doi:10.1215/S0012-7094-07-13825-0, MR 2318286, S2CID 2427673281-374&rft.date=2007&rft_id=info:arxiv/math/0508298&rft_id=https://mathscinet.ams.org/mathscinet-getitem?mr=2318286#id-name=MR&rft_id=https://api.semanticscholar.org/CorpusID:2427673#id-name=S2CID&rft_id=info:doi/10.1215/S0012-7094-07-13825-0&rft.aulast=Vișan&rft.aufirst=Monica&rfr_id=info:sid/en.wikipedia.org:Monica Vișan" class="Z3988">
  • Tao, Terence; Vișan, Monica; Zhang, Xiaoyi (2007), "The nonlinear Schrödinger equation with combined power-type nonlinearities", Communications in Partial Differential Equations, 32 (7–9): 1281–1343, arXiv:math/0511070, doi:10.1080/03605300701588805, MR 2354495, S2CID 151095267–9&rft.pages=1281-1343&rft.date=2007&rft_id=info:arxiv/math/0511070&rft_id=https://mathscinet.ams.org/mathscinet-getitem?mr=2354495#id-name=MR&rft_id=https://api.semanticscholar.org/CorpusID:15109526#id-name=S2CID&rft_id=info:doi/10.1080/03605300701588805&rft.aulast=Tao&rft.aufirst=Terence&rft.au=Vișan, Monica&rft.au=Zhang, Xiaoyi&rfr_id=info:sid/en.wikipedia.org:Monica Vișan" class="Z3988">
  • Killip, Rowan; Tao, Terence; Vișan, Monica (2009), "The cubic nonlinear Schrödinger equation in two dimensions with radial data", Journal of the European Mathematical Society, 11 (6): 1203–1258, arXiv:0707.3188, doi:10.4171/JEMS/180, MR 25571341203-1258&rft.date=2009&rft_id=info:arxiv/0707.3188&rft_id=https://mathscinet.ams.org/mathscinet-getitem?mr=2557134#id-name=MR&rft_id=info:doi/10.4171/JEMS/180&rft.aulast=Killip&rft.aufirst=Rowan&rft.au=Tao, Terence&rft.au=Vișan, Monica&rfr_id=info:sid/en.wikipedia.org:Monica Vișan" class="Z3988">
  • Killip, Rowan; Vişan, Monica (2010), "The focusing energy-critical nonlinear Schrödinger equation in dimensions five and higher", American Journal of Mathematics, 132 (2): 361–424, arXiv:0804.1018, doi:10.1353/ajm.0.0107, MR 2654778, S2CID 1068572361-424&rft.date=2010&rft_id=info:arxiv/0804.1018&rft_id=https://mathscinet.ams.org/mathscinet-getitem?mr=2654778#id-name=MR&rft_id=https://api.semanticscholar.org/CorpusID:1068572#id-name=S2CID&rft_id=info:doi/10.1353/ajm.0.0107&rft.aulast=Killip&rft.aufirst=Rowan&rft.au=Vişan, Monica&rfr_id=info:sid/en.wikipedia.org:Monica Vișan" class="Z3988">
  • Killip, Rowan; Vişan, Monica (2013), "Nonlinear Schrödinger equations at critical regularity" (PDF), Evolution equations, Clay Math. Proc., vol. 17, Amer. Math. Soc., Providence, RI, pp. 325–437, MR 3098643325-437&rft.pub=Amer. Math. Soc., Providence, RI&rft.date=2013&rft_id=https://mathscinet.ams.org/mathscinet-getitem?mr=3098643#id-name=MR&rft.aulast=Killip&rft.aufirst=Rowan&rft.au=Vişan, Monica&rft_id=https://www.math.ucla.edu/~visan/ClayLectureNotes.pdf&rfr_id=info:sid/en.wikipedia.org:Monica Vișan" class="Z3988">

References

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  1. ^ a b c Curriculum vitae (PDF), University of California, Los Angeles, retrieved 2018-09-22
  2. ^ Monica Vișan at the Mathematics Genealogy Project
  3. ^ Past Fellows, Sloan Foundation, retrieved 2019-09-10
  4. ^ 2024 Class of Fellows of the AMS, American Mathematical Society, retrieved 2023-11-10
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