2 | James Collianderhttps://0a92e423.colliand.pages.dev/publication-type/2/2Wowchemy (https://wowchemy.com)en-us© 2026 James CollianderWed, 16 Sep 2026 00:00:00 +0000https://0a92e423.colliand.pages.dev/media/icon_hud40f89a7a92de510cc371f83445dc1ca_205872_512x512_fill_lanczos_center_2.png2https://0a92e423.colliand.pages.dev/publication-type/2/Beyond Multiple Choice: The Roles That Student Explanations and Attitudes Play in a Model of First-Year Calculus Performancehttps://0a92e423.colliand.pages.dev/publication/2026-beyond-multiple-choice-roles/Wed, 16 Sep 2026 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/2026-beyond-multiple-choice-roles/A Path to Better Science Through Co‐Creation and Open Infrastructurehttps://0a92e423.colliand.pages.dev/publication/2026-path-better-science-cocreation/Wed, 06 May 2026 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/2026-path-better-science-cocreation/Understanding Dimensions of Student Readiness from a Calculus Baseline 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+0000https://0a92e423.colliand.pages.dev/publication/10-1002-essoar-10506344-2/Interaction Morawetz estimate for the magnetic Schrödinger equation and applicationshttps://0a92e423.colliand.pages.dev/publication/mr-3229599/Wed, 01 Jan 2014 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-3229599/A remark on normal forms and the "upside-down" $I$-method for periodic NLS: Growth of higher Sobolev normshttps://0a92e423.colliand.pages.dev/publication/mr-2993022/Sun, 01 Jan 2012 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-2993022/Almost sure well-posedness of the cubic nonlinear Schrödinger equation below $L^2(\Bbb T)$https://0a92e423.colliand.pages.dev/publication/mr-2881226/Sun, 01 Jan 2012 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-2881226/Bootstrapped Morawetz estimates and resonant decomposition for low regularity global solutions of cubic NLS on $\Bbb{R}^2$https://0a92e423.colliand.pages.dev/publication/mr-2754279/Sat, 01 Jan 2011 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-2754279/Numerical simulations of the energy-supercritical nonlinear Schrödinger equationhttps://0a92e423.colliand.pages.dev/publication/mr-2659737/Fri, 01 Jan 2010 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-2659737/Remarks on global a priori estimates for the nonlinear Schrödinger equationhttps://0a92e423.colliand.pages.dev/publication/mr-2680061/Fri, 01 Jan 2010 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-2680061/Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrödinger equationhttps://0a92e423.colliand.pages.dev/publication/mr-2651381/Fri, 01 Jan 2010 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-2651381/Energy critical NLS in two space dimensionshttps://0a92e423.colliand.pages.dev/publication/mr-2568809/Thu, 01 Jan 2009 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-2568809/Rough blowup solutions to the $L^2$ critical NLShttps://0a92e423.colliand.pages.dev/publication/mr-2529478/Thu, 01 Jan 2009 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-2529478/Tensor products and correlation estimates with applications to nonlinear Schrödinger equationshttps://0a92e423.colliand.pages.dev/publication/mr-2527809/Thu, 01 Jan 2009 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-2527809/A priori bounds and weak solutions for the nonlinear Schrödinger equation in Sobolev spaces of negative orderhttps://0a92e423.colliand.pages.dev/publication/mr-2376575/Tue, 01 Jan 2008 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-2376575/Global existence and scattering for rough solutions to generalized nonlinear Schrödinger equations on $\Bbb{R}$https://0a92e423.colliand.pages.dev/publication/mr-2379437/Tue, 01 Jan 2008 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-2379437/Global well-posedness and scattering for the energy-critical nonlinear Schrödinger equation in $\Bbb{R}^3$https://0a92e423.colliand.pages.dev/publication/mr-2415387/Tue, 01 Jan 2008 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-2415387/Low regularity global well-posedness for the Zakharov and Klein-Gordon-Schrödinger systemshttps://0a92e423.colliand.pages.dev/publication/mr-2403699/Tue, 01 Jan 2008 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-2403699/Resonant decompositions and the $I$-method for the cubic nonlinear Schrödinger equation on $\Bbb{R}^2$https://0a92e423.colliand.pages.dev/publication/mr-2399431/Tue, 01 Jan 2008 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-2399431/Weighted low-regularity solutions of the KP-I initial-value problemhttps://0a92e423.colliand.pages.dev/publication/mr-2358259/Tue, 01 Jan 2008 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-2358259/Errata to: ``Low regularity solutions for the Kadomtsev-Petviashvili I equation'' [Geom. Funct. Anal. bf 13 (2003), no. 4, 737--794; MR2006556]https://0a92e423.colliand.pages.dev/publication/mr-2346282/Mon, 01 Jan 2007 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-2346282/Improved interaction Morawetz inequalities for the cubic nonlinear Schrödinger equation on $\Bbb{R}^2$https://0a92e423.colliand.pages.dev/publication/mr-2377216/Mon, 01 Jan 2007 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-2377216/Mass concentration window size and Strichartz norm divergence rate for the $L^2$-critical nonlinear Schrödinger equationhttps://0a92e423.colliand.pages.dev/publication/mr-2374218/Mon, 01 Jan 2007 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-2374218/Global well-posedness in Sobolev space implies global existence for weighted $L^2$ initial data for $L^2$-critical NLShttps://0a92e423.colliand.pages.dev/publication/mr-2246003/Sun, 01 Jan 2006 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-2246003/Ground state mass concentration in the $L^2$-critical nonlinear Schrödinger equation below $H^1$https://0a92e423.colliand.pages.dev/publication/mr-2150890/Sat, 01 Jan 2005 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-2150890/Symplectic nonsqueezing of the Korteweg-de Vries flowhttps://0a92e423.colliand.pages.dev/publication/mr-2233689/Sat, 01 Jan 2005 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-2233689/Errata: ``On solutions for the Kadomtsev-Petviashvili I equation'' [Mosc. Math. J. bf 1 (2001), no. 4, 491--520, 644; MR1901072]https://0a92e423.colliand.pages.dev/publication/mr-2108449/Thu, 01 Jan 2004 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-2108449/Global existence and scattering for rough solutions of a nonlinear Schrödinger equation on $\Bbb{R}^3$https://0a92e423.colliand.pages.dev/publication/mr-2053757/Thu, 01 Jan 2004 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-2053757/Multilinear estimates for periodic KdV equations, and applicationshttps://0a92e423.colliand.pages.dev/publication/mr-2054622/Thu, 01 Jan 2004 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-2054622/Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equationshttps://0a92e423.colliand.pages.dev/publication/mr-2018661/Wed, 01 Jan 2003 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-2018661/Local well-posedness for dispersion-generalized Benjamin-Ono equationshttps://0a92e423.colliand.pages.dev/publication/mr-2029909/Wed, 01 Jan 2003 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-2029909/Low regularity solutions for the Kadomtsev-Petviashvili I equationhttps://0a92e423.colliand.pages.dev/publication/mr-2006556/Wed, 01 Jan 2003 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-2006556/Polynomial upper bounds for the instability of the nonlinear Schrödinger equation below the energy normhttps://0a92e423.colliand.pages.dev/publication/mr-1961447/Wed, 01 Jan 2003 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-1961447/Polynomial upper bounds for the orbital instability of the 1D cubic NLS below the energy normhttps://0a92e423.colliand.pages.dev/publication/mr-1951312/Wed, 01 Jan 2003 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-1951312/Sharp global well-posedness for KdV and modified KdV on $\Bbb{R}$ and $\Bbb{T}$https://0a92e423.colliand.pages.dev/publication/mr-1969209/Wed, 01 Jan 2003 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-1969209/A refined global well-posedness result for Schrödinger equations with derivativehttps://0a92e423.colliand.pages.dev/publication/mr-1950826/Tue, 01 Jan 2002 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-1950826/Almost conservation laws and global rough solutions to a nonlinear Schrödinger equationhttps://0a92e423.colliand.pages.dev/publication/mr-1906069/Tue, 01 Jan 2002 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-1906069/Regularity bounds on Zakharov system evolutionshttps://0a92e423.colliand.pages.dev/publication/mr-1927889/Tue, 01 Jan 2002 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-1927889/The generalized Korteweg-de Vries equation on the half linehttps://0a92e423.colliand.pages.dev/publication/mr-1944029/Tue, 01 Jan 2002 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-1944029/Bilinear estimates and applications to 2D NLShttps://0a92e423.colliand.pages.dev/publication/mr-1828607/Mon, 01 Jan 2001 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-1828607/Global well-posedness for KdV in Sobolev spaces of negative indexhttps://0a92e423.colliand.pages.dev/publication/mr-1824796/Mon, 01 Jan 2001 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-1824796/Global well-posedness for Schrödinger equations with derivativehttps://0a92e423.colliand.pages.dev/publication/mr-1871414/Mon, 01 Jan 2001 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-1871414/Ginzburg-Landau vortices: weak stability and Schrödinger equation dynamicshttps://0a92e423.colliand.pages.dev/publication/mr-1753485/Fri, 01 Jan 1999 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-1753485/Global wellposedness for KdV below $L^2$https://0a92e423.colliand.pages.dev/publication/mr-1739230/Fri, 01 Jan 1999 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-1739230/Vortex dynamics for the Ginzburg-Landau-Schrödinger equationhttps://0a92e423.colliand.pages.dev/publication/mr-1623410/Thu, 01 Jan 1998 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-1623410/Wellposedness for Zakharov systems with generalized nonlinearityhttps://0a92e423.colliand.pages.dev/publication/mr-1643187/Thu, 01 Jan 1998 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-1643187/Globalizing estimates for the periodic KPI equationhttps://0a92e423.colliand.pages.dev/publication/mr-1415026/Mon, 01 Jan 1996 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-1415026/On wellposedness of the Zakharov systemhttps://0a92e423.colliand.pages.dev/publication/mr-1405972/Mon, 01 Jan 1996 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/mr-1405972/Thermal noise spectrum of a fiber-optic magnetostrictive transducerhttps://0a92e423.colliand.pages.dev/publication/bucholtz-91/Fri, 01 Mar 1991 00:00:00 +0000https://0a92e423.colliand.pages.dev/publication/bucholtz-91/