Dr Daniel Hauer Senior Lecturer School of Mathematics and Statistics The University of Sydney, NSW 2006 Australia   Office: Carslaw Building, Room 635 Phone: +61 2 862 70092 Fax: +61 2 9351 4534 See Profile on Google Scholar

## Research Interests

In the mathematical research, I intend to improve the general understanding and to broaden the current knowledge of various modern topics in mathematical analysis and related applications to (stochastic) partial differential equations and mathematical physics.
In my work, I enjoy using different perspectives and approaches to study and to develop solutions to current important mathematical problems. For this, I don't hesitate using Calculus of variations , abstract views from Stochastic analysis, and Optimal transportation.
More precisely, I regularly contribute to the following topics.

## Recently Submitted Papers

• [P1] with Timothy Collier, A doubly nonlinear evolution problem involving the fractional $$p$$-Laplacian,
• [P2] with David Lee, Functional Calculus via the extension technique: a first hitting time approach,

## Recently Accepted Papers

• [16] with J. Mazón, The Dirichlet-to-Neumann operator associated with the $$1$$-Laplace operator and evolution problems, accepted for publication in Calc. Var. and PDEs, available on ArXiv: 1910.12219 , (2021).

## Teaching

• MATH1001: 1st-year course on Differential Calculus in one and two real variables. I taught this course in Semester 1 of the years 2014-16;
• MATH1021: 1nd-year course for Science students on Calculus of one variable . I taught this course in Semester 1 of the years 2020 and 2021;
• MATH2021: 2nd-year course for Science students on Differential Equations and Vector Calculus . I taught this course in Semester 1 of the years 2018-19;
• MATH2067: 2nd-year course for Science and engineering students on Differential Equations and Vector Calculus . I taught this course in Semester 1, 2017;
• MATH2917: 2nd-year working seminar on Harmonic Analysis for students of the Special Studies Program. I taught this course in Semester 2, 2015;
• PMH4: 4th-year course for Honours reading course on Advanced Measure Theory . I taught this course in Semester 2, 2015;
• MATH3068: 3rd-year course on Complex and Fourier Analysis. I taught this course in Semester 2 of the years 2013-18;
• MATH3078, MATH3978/4078: 3rd-year mainstream and advanced students, and a 4th-year course on Partial Differential Equations and Waves. I taught this course in Semester 2, 2019 and 2020.

## Professional Activities

• Organiser of the AMSI-event Recent Trends in Nonlinear Evolution Equations from 4-5 November 2015 at the University of Sydney jointly with Valentina Wheeler (UoW). This workshop had the fundamental aim to showcase the recent advances on nonlinear evolution equations and to highlight key challenges for the future.

• Organiser of the AMSI-event Analysis and PDE Seminar. This seminar day was organised jointly with the related research groups of the The aim of the Analysis and PDE Seminar is to bring together twice a year specialists, early career researchers and PhD students working in analysis, partial differential equations and related fields in Australia, in order to report on research, fostering contacts and to begin new research projects between the participants.