NATHAN D. TOTZ

N. Totz. Existence and Uniqueness of Energy Solutions to the Stochastic Diffusive Surface Quasi-Geostrophic Equation with Additive Noise. Submitted. (Arxiv Preprint)

A. Nahmod, N. Pavlovic, G. Staffilani, N. Totz. Global Flows with Invariant Measures for Inviscid Modified SQG equations. Stoch. Partial Differ. Equ. Anal. Comput. 6(2), 184-210 (2018) (Arxiv Preprint)

N. Totz. Global Well-Posedness of 2D Non-Focusing Schrodinger Equations via Rigorous Modulation Approximation. J. Diff. Eq., Vol. 261, Issue 4 (2016), pp. 2251-2299. (Arxiv Preprint)

N. Totz. A Justification of the Modulation Approximation to the 3D Full Water Wave Problem. Commun. Math. Phys., Vol. 335 No. 1 (2015), pp. 369-443, Springer. (Arxiv Preprint)

D. Herzog, N. Totz. On a Generalization of Hormander's Theorem. Potential Anal., Vol. 42, Issue 2 (2015), pp. 403-433 (Arxiv Preprint)

N. Totz, S. Wu. A Rigorous Justification of the Modulation Approximation to the 2D Full Water Wave Problem. Commun. Math. Phys., Vol. 310 No. 3 (2012), pp. 817-883, Springer. (Arxiv Preprint)

N. Totz (D. Schneider, directing) An In-Depth Study of Distributions.
Senior Thesis, Knox College (2005). (A systematic exposition of the theory of distributions in a topological vector space framework, culminating in a proof of the Malgrange-Ehrenpreis Theorem)

To be updated in Fall 2020

Spring 2020-2021, 224 (Undergrad. Intro. Prob. and Stat.)

Fall 2020-2021, 210 (Intro. to Linear Algebra)

Spring 2019-2020, 625 (Graduate Intro. to Statistics)

Fall 2018-2019, 624 (Graduate Intro. to Probability)

Spring 2018, 224 (Undergrad. Intro. Prob. and Stat.)

Fall 2017-2019, 210 (Undergraduate Linear Algebra)

Fall 2017, 311 (Undergraduate ODE)

Spring 2017, 524 (Intro. to Modern Analysis II)

Spring 2017, 331 (Undergraduate ODE)

Fall 2016, 233 (Multivariable Calculus)

Spring 2016, 331 (Undergraduate ODE)

Spring 2015, 235 (Linear Algebra)

Fall 2014, 131 (Calculus 1)

Spring 2014, 353 (Undergraduate ODE and PDE)

Fall 2013, 212 (Multivariable Calculus)

Fall 2012, 551 (Graduate Applied PDE and Complex Variables)

Fall 2012, 353 (Undergraduate ODE and PDE)

Spring 2012, 131 (Undergraduate ODE and PDE)

Fall 2011, 103 (Multivariable Calculus)

Further teaching experience available upon request.

University of Michigan, Ann Arbor

Co-coordinator 116 (Calculus 2), Fall 2009