Dr Mareike Dressler
Lecturer

Dr Mareike Dressler

  • 2018, PhD in Mathematics, Goethe University Frankfurt, Germany (supervisor Thorsten Theobald)
  • 2013, M.Sc. in Mathematics, Goethe University Frankfurt, Germany
  • 2010, B.Sc. in Mathematics, Goethe University Frankfurt, Germany
Science
School of Mathematics & Statistics

In February 2022, I joined UNSW Sydney as a Lecturer (Assistant Professor, tenure-track) in the School of Mathematics and Statistics.

Prior to that, I was a postdoctoral researcher at the Max Planck Institute for Mathematics in the Sciences (MPI MiS) in Leipzig working in the Convexity, Optimization and Data Science research group lead by Venkat Chandrasekaran and affiliated to the Nonlinear Algebra  group of  Bernd Sturmfels.  From 2019-2021, I was a  Stefan E. Warschawski Assistant Professor at the Department of Mathematics of the University of California, San Diego (UCSD) where my postdoc mentors were Jiawang Nie and  Bill Helton. I spent Fall 2018 as a Semester Postdoctoral Fellow at Brown University in the Institute for Computational and Experimental Research in Mathematics (ICERM) participating in the semester program on Nonlinear Algebra.
In May 2018, I completed my PhD at the Goethe-Universität in Frankfurt am Main under the supervision of Thorsten Theobald.

Research Interests

  • Real and Computational Algebraic Geometry
  • Polynomial and Convex Optimization
  • Matrix and Tensor Computation
  • Convex Geometry
  • Applications in Data Science and Machine Learning
     

For more information, see my personal website.

Phone
+61 2 9385 7111
Location
School of Mathematics and Statistics UNSW Sydney Sydney NSW 2052 The Red Centre Room 2074
  • Journal articles | 2022
    Dressler M; Knop A; Klement L; Hadjipieris P, 2022, 'Fostering Proving Skills in Upper-Division Mathematics Classes through Peer Feedback Assignments', Transformative Dialogues: Teaching and Learning Journal, vol. 14, https://td.journals.psu.edu/td/article/view/1669/1147
    Journal articles | 2022
    Dressler M; Kurpisz A; de Wolff T, 2022, 'Optimization Over the Boolean Hypercube Via Sums of Nonnegative Circuit Polynomials', Foundations of Computational Mathematics, vol. 22, pp. 365 - 387, http://dx.doi.org/10.1007/s10208-021-09496-x
    Journal articles | 2021
    Dressler M, 2021, 'Real zeros of SONC polynomials', Journal of Pure and Applied Algebra, vol. 225, pp. 106602 - 106602, http://dx.doi.org/10.1016/j.jpaa.2020.106602
    Journal articles | 2021
    Dressler M; Naumann H; Theobald T, 2021, 'The dual cone of sums of non-negative circuit polynomials', Advances in Geometry, vol. 21, pp. 227 - 236, http://dx.doi.org/10.1515/advgeom-2020-0019
    Journal articles | 2021
    Dressler M; Nie J; Yang Z, 2021, 'Separability of Hermitian tensors and PSD decompositions', Linear and Multilinear Algebra, pp. 1 - 28, http://dx.doi.org/10.1080/03081087.2021.1965078
    Journal articles | 2019
    Dressler M; Iliman S; de Wolff T, 2019, 'An approach to constrained polynomial optimization via nonnegative circuit polynomials and geometric programming', Journal of Symbolic Computation, vol. 91, pp. 149 - 172, http://dx.doi.org/10.1016/j.jsc.2018.06.018
    Journal articles | 2017
    Dressler M; Iliman S; de Wolff T, 2017, 'A positivstellensatz for sums of nonnegative circuit polynomials', SIAM Journal on Applied Algebra and Geometry, vol. 1, pp. 536 - 555, http://dx.doi.org/10.1137/16M1086303
  • Reports | 2020
    Dressler M, 2020, Global Optimization via the Dual SONC Cone and Linear Programming, EMS Publishing House, https://www.ems-ph.org/journals/journal.php?jrn=owr, no. 12, 2020
    Conference Papers | 2020
    Dressler M; Heuer J; Naumann H; De Wolff T, 2020, 'Global optimization via the dual SONC cone and linear programming', in Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC, ACM, pp. 138 - 145, presented at ISSAC '20: International Symposium on Symbolic and Algebraic Computation, http://dx.doi.org/10.1145/3373207.3404043
    Theses / Dissertations | 2018
    Dressler M, 2018, Sums of Nonnegative Circuit Polynomials : Geometry and Optimization, http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/46971
    Conference Papers | 2018
    Dressler M; de Wolff T; Kurpisz A, 2018, 'Optimization over the Boolean Hypercube via Sums of Nonnegative Circuit Polynomials', Liverpool, presented at 3rd International Symposium on Mathematical Foundations of Computer Science, Liverpool, 27 August 2018, http://dx.doi.org/10.4230/LIPIcs.MFCS.2018.82
    Theses / Dissertations | 2013
    Dressler M, 2013, Die tropische Graßmannsche als Modulraum
    Theses / Dissertations | 2010
    Dressler M, 2010, Die Dedekindsche Zetafunktion und die Dichte zerlegter Primideale