- Events in 2022
-
International conference on nonlinear PDEs (2022)
- Asia-Pacific Analysis & PDE seminar
-
- USyd PDE Seminar
-
 |
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
Email:
[email protected]
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 enjoy using Calculus of
variations , abstract views
from
Nonlinear functional
analysis, microscopic views by using tools from Stochastic
analysis, and
Optimal
transportation.
More precisely, I regularly contribute to the
following topics.
- Eigenvalue problems and isoperimetric
inequalities with main focus on the Fundamental gap conjecture for
Schrödinger operators
- See [12] and [13] at Publications.
- The Dirichlet-to-Neumann operator and applications
- The
Total variational fow and applications
- See [10] and [16] at Publications.
- Calculus of variations
with application to PDEs
- See [9, 15] and [16] at Publications.
- Regularity theory in nonlinear evolution problems
- Non-existence and long-time stability in nonlinear Evolution problems
- Homogenization and
domain perturbation
- See [3] and [4] at Publications.
- Stochastic
analysis with application to stochastic (partial) differential equations
- See [P2] at Publications.
- Optimal
Transportation
- See [8, Section 4.2] at Publications.
Recently Submitted Papers
- [P1] with Timothy Collier, A
doubly nonlinear evolution problem involving the fractional
\(p\)-Laplacian,
- available on ArXiv: 2110.13401, (2021).
- [P2] with David Lee, Functional
Calculus via the extension technique: a first hitting time
approach,
- available on ArXiv: 2101.11305, (2021).
Recently Accepted Papers
- [16] with J. Mazón, The Dirichlet-to-Neumann operator associated with the \(1\)-Laplace operator and evolution problems, Calc. Var. Partial Differential Equations, Vol. 61, No. 1 (2022), Paper No. 37, 50pp, DOI: 10.1007/s00526-021-02149-5.
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 2020-2022;
- 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
- Organizer (chair) of the international conference Nonlinear Partial Differential Equations 2022, held from 21-25 November 2022 at Sydney.
- Managing Organiser of the international weekly seminar series Asia-Pacific Analysis and PDE Seminar .
- Organiser of the intensive research meeting Isoperimetric Inequalities in Geometric Partial Differential Equations held from 15-26 November 2021 at the MATRIX research institute, Cresswick. This event was jointly organised with Paul Bryan (Macquarie University) and Julie Clutterbuck (Monash University).
- Organiser of the AMSI/AustMS-event International Conference on PDEs, Geometric Analysis and Functional Inequalities held from 7-10 March 2017 at the University of Sydney. This was jointly organised with Daniel Daners (USyd), Glen Wheeler (UoW) and Valentina Wheeler (UoW).
- Organiser of the AMSI/AustMS-event International conference on nonlinear partial differential equations from 21 – 25 November 2016 at the University of New England, Armidale . This was jointly organised with Florica Cirstea (USyd), Daniel Daners (USyd) and Yihong Du (UNE).
- 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
- Australian National University,
- Macquarie University,
- University of Newcastle,
- University of New South Wales,
- University of Sydney,
- University of Wollongong ,
- Organiser of the seminar day WOMASY - Geometric and Harmonic Analysis meets PDE.
-
Organiser of the seminar day
WOMASY - Geometric and Harmonic Analysis meets PDE. This is a joint day of seminars
- the geometric analysis group of University of Wollongong ,
- the harmonic analysis group of Macquarie University,
- the nonlinear analysis group of the University of Sydney.
- Member of the nonlinear analysis group at the School of Mathematics and Statistics at the University of Sydney.
- Organiser of the University of Sydney PDE Seminar (jointly with Daniel Daners).