janin

JANIN HEUER

Ph.D. Student.
TU Braunschweig.
Polynomial Optimisation.
Circuit Polynomials.

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 "A Generalized Muirhead Inequality and Symmetric Sums of Nonnegative Circuits" with Ngoc Mai Tran and Timo de Wolff is now available on arXiv!

CONTACT

Due to COVID-19, 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

RESEARCH

Nonnegativity of real Polynomials.
Semidefinite and Polynomial Optimisation.
Real and Computational Algebraic Geometry in Science and Engineering.

Research Articles

  1. 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]
  2. Global Optimization via the Dual SONC Cone and Linear Programming
    with M. Dressler, H. Naumann, T. de Wolff.
    Proceedings of ISSAC 2020 [arXiv]
  3. 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]
  4. 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

  1. A Generalized Muirhead Inequality and Symmetric Sums of Nonnegative Circuits
    with N. M. Tran and T. de Wolff. [arXiv]
  1. The Duality of SONC: Advances in Circuit-based Certificates
    with T. de Wolff. [arXiv]

Theses

  1. Dünnbesetzte Lösungen von Blocksystemen und semidefinite Optimierung
    Master thesis for mathematics, 2019.
    Supervisor: Thorsten Theobald
  2. 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:

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.

JANIN HEUER

janin

Ph.D. Student at
TU Braunschweig

I am a Ph.D. student at TU Braunschweig under the supervision of Timo de Wolff. I received my B.Sc. from Goethe-University Frankfurt in 2017 and my M.Sc. 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.

CV CONTACT

CONTACT

Due to COVID-19, I am currently mostly working from home.
Please contact me via e-mail.

TU Braunschweig
Institut für Analysis und Algebra
AG Algebra
Universitätsplatz 2
38106 Braunschweig
Germany

RESEARCH

Nonnegativity of real Polynomials. Semidefinite and Polynomial Optimisation. Real and Computational Algebraic Geometry in Science and Engineering.

Research Articles
  1. 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]
  2. Global Optimization via the Dual SONC Cone and Linear Programming
    with M. Dressler, H. Naumann, T. de Wolff, Proceedings of ISSAC 2020.
    [arXiv]
  3. 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]
  4. The Martin Gardner Polytopes
    with K. Fritsch, R. Sanyal, N. Schulz, The American Mathematical Monthly, Vol 127, Issue 7, 2020, pp. 594-601.
    [arXiv] [journal]
Preprints
  1. A Generalized Muirhead Inequality and Symmetric Sums of Nonnegative Circuits
    with N. M. Tran and T. de Wolff. [arXiv]
  1. The Duality of SONC: Advances in Circuit-based Certificates
    with T. de Wolff. [arXiv]
Theses
  1. Dünnbesetzte Lösungen von Blocksystemen und semidefinite Optimierung
    Master thesis for mathematics, 2019.
    Supervisor: Thorsten Theobald
  2. Anwendungen der Optimalsteuerung in der Raumfahrt
    Bachelor thesis for mathematics, 2017.
    Supervisor: Bastian von Harrach

TALKS

Berlin. Braunschweig. Chemnitz. College Station. Ilsenburg.

Conference Talks

Global Optimisation via the Dual SONC Cone and Linear Programming.

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 07. - 08. Jun. 2019
[poster presentation]
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:

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.