JANIN HEUER
Ph.D. Student at
Technical University Braunschweig
I am a Ph.D. student at Technical University Braunschweig under the supervision of Timo de Wolff. I received my Bachelor of Science from Goethe-University in Frankfurt in 2017 and my Master of Science from the same university in 2019. My primary mathematical interest is polynomial optimisation, particularly, studying sums of nonnegative circuits as a certificate of polynomial nonnegativity. You can find out more about my research here.
Office hours: By appointment — please send me an e-mail.
News: My new article "Initial Application of SONC to Lyapunov Stability of Dynamical Systems" with Timo de Wolff is now available on arXiv!
CONTACT
I am currently mostly working from home.
Please contact me via e-mail.
|
Technische Universität Braunschweig Institut für Analysis und Algebra AG Algebra Universitätsplatz 2 38106 Braunschweig Germany |
| Office 521 | |
| +49-(0)531-391-7509 | |
| janin.heuer [at] tu-bs.de | |
| https://www.linkedin.com/in/janinheuer | |
| https://orcid.org/0000-0003-2386-8294 |
RESEARCH
Nonnegativity of real Polynomials.
Semidefinite and Polynomial Optimisation.
Real and Computational Algebraic Geometry in Science and Engineering.
Research Articles
- Evaluation of Pool-based Testing Approaches to Enable Population-wide Screening for COVID-19
with T. de Wolff, D. Pflüger, M. Rehme, M.-I. Bittner.
PLOS ONE 15(12): e0243692 [arXiv] [journal]
- Global Optimization via the Dual SONC Cone and Linear Programming
with M. Dressler, H. Naumann, T. de Wolff.
Proceedings of ISSAC 2020 [arXiv] - Block-sparse Recovery of Semidefinite Systems and Generalized Null Space Conditions
with F. Matter, M. E. Pfetsch, T. Theobald.
Linear Algebra and its Applications 603: 470-495 (2020) [arXiv] [journal] - The Martin Gardner Polytopes
with K. Fritsch, R. Sanyal, N. Schulz.
The American Mathematical Monthly, Vol 127, Issue 7: 594-601 (2020) [arXiv] [journal]
Preprints
- Initial Application of SONC to Lyapunov Stability of Dynamical Systems
with T. de Wolff. [arXiv]
- A Generalized Muirhead Inequality and Symmetric Sums of Nonnegative Circuits
with N. M. Tran and T. de Wolff. [arXiv]
- The Duality of SONC: Advances in Circuit-based Certificates
with T. de Wolff. [arXiv]
Theses
- Dünnbesetzte Lösungen von Blocksystemen und semidefinite Optimierung
Master thesis for mathematics, 2019.
Supervisor: Thorsten Theobald - Anwendungen der Optimalsteuerung in der Raumfahrt
Bachelor thesis for mathematics, 2017.
Supervisor: Bastian von Harrach
TALKS
Berlin. Braunschweig. Chemnitz. College Station. Hannover. Ilsenburg. Kraków. Marseille.
Conference Talks
Global Optimisation via the Dual SONC Cone and Linear Programming.
SQUIRREL Retreat
26. - 29. Sep. 2022
Bilm bei Hannover, Germany.
SIAM Conference on Applied Algebraic Geometry (AG21)
16. - 20. Aug. 2021
Texas A&M University, College Station, Texas, U.S., Minisymposium on "Algebraic Aspects of Optimization".
online due to COVID-19.
3rd BYMAT Conference
[slides]
01. - 03. Dec. 2020
online due to COVID-19.
DMV Annual Meeting 2020
[slides]
14. - 17. Sep. 2020
Technische Universität Chemnitz, Germany, Minisymposium "Discrete Optimization".
online due to COVID-19.
WOMBAT - Workshop on Mathematical Physics, Algebra, Analysis and Optimization
10. - 12. Feb. 2020
Ilsenburg, Germany.
What is a Nonnegativity Certificate?
Opening Conference for the MATH+ Semester on Algebraic Geometry
[video]
08. Oct. 2019
Technische Universität Berlin, Germany.
Research Seminar Talks
Nullspace Conditions for Block-Sparse Recovery of Semidefinite Systems.
Group Seminar Applied Algebra and Analysis
25. Jun. 2019
Technische Universität Braunschweig, Germany.
Sparse Solutions of Block-Systems and Semidefinite Programming.
Discrete and Algorithmic Geometry Seminar
17. Dec. 2018
Technische Universität Berlin, Germany.
Posters
The Duality of SONC.
Real Algebraic Geometry Conference
[poster presentation]
24. - 28. Oct. 2022
CIRM - Luminy, Centre International de Rencontres Mathématiques, Marseille, France.
MEGA 2022
[poster presentation]
20. - 24. Jun. 2022
Kraków, Poland.
Nullspace Conditions for Block-Sparse Recovery of Semidefinite Systems.
Workshop on Applied Algebra
[poster presentation]
07. - 08. Jun. 2019
Technische Universität Braunschweig, Germany.
TEACHING
Algebra. Cryptography. Discrete Maths. Machine Learning. Mathematical Algorithms. Polynomial Optimisation.
Current Teaching
at TU Braunschweig
I have no teaching duties this semester.
Past Teaching
at TU Braunschweig
TA for the following lectures by Timo de Wolff:
Diskrete Mathematik für Informatiker (Discrete Maths for Computer Scientists)
Fall 2022
Maschinelles Lernen mit Neuronalen Netzen (Machine Learning with Neural Nets)
Fall 2021
Co-Lecturer: Dr. Christoph Brauer
Algebra für Informatiker (Algebra for Computer Scientists)
Spring 2021
Diskrete Mathematik für Informatiker (Discrete Maths for Computer Scientists)
Fall 2020
Mathematische Algorithmen (Mathematical Algorithms)
Spring 2020
Diskrete Mathematik (Discrete Maths)
Fall 2019
Kryptographie (Cryptography)
Teaching as Undergrad
at Goethe-University Frankfurt
TA for the following lectures:
Mathematik für Wirtschaftswissenschaftler (Maths for Economists)
Fall 2015 - Fall 2018
Mathematik-Vorkurs für Wirtschaftswissenschaftler
Spring 2016 - Spring 2018
(Maths Precourse for Economists)
Einführung in die Numerik (Introduction to Numerics)
Fall 2017
Mathematik für Physiker I & II (Mathematics for Physicists)
Fall 2014 - Fall 2015
For more details, see my CV.
