Dr Mareike Dressler

Dr Mareike Dressler

Senior Lecturer
  • 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 | 2024
    Bellon A; Dressler M; Kungurtsev V; Marecek J; Uschmajew A, 2024, 'TIME-VARYING SEMIDEFINITE PROGRAMMING: PATH FOLLOWING A BURER-MONTEIRO FACTORIZATION', SIAM Journal on Optimization, 34, http://dx.doi.org/10.1137/22M1529762
    Journal articles | 2024
    Dressler M; Garrote-López M; Montúfar G; Müller J; Rose K, 2024, 'Algebraic optimization of sequential decision problems', Journal of Symbolic Computation, 121, http://dx.doi.org/10.1016/j.jsc.2023.102241
    Journal articles | 2023
    Dressler M; Uschmajew A; Chandrasekaran V, 2023, 'KRONECKER PRODUCT APPROXIMATION OF OPERATORS IN SPECTRAL NORM VIA ALTERNATING SDP', SIAM Journal on Matrix Analysis and Applications, 44, pp. 1693 - 1708, http://dx.doi.org/10.1137/22M1509953
    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, 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, 22, pp. 365 - 387, http://dx.doi.org/10.1007/s10208-021-09496-x
    Journal articles | 2022
    Dressler M; Murray R, 2022, 'Algebraic Perspectives on Signomial Optimization', SIAM Journal on Applied Algebra and Geometry, 6, pp. 650 - 684, http://dx.doi.org/10.1137/21M1462568
    Journal articles | 2022
    Dressler M; Nie J; Yang Z, 2022, 'Separability of Hermitian tensors and PSD decompositions', Linear and Multilinear Algebra, 70, pp. 6581 - 6608, http://dx.doi.org/10.1080/03081087.2021.1965078
    Journal articles | 2021
    Dressler M; Naumann H; Theobald T, 2021, 'The dual cone of sums of non-negative circuit polynomials', Advances in Geometry, 21, pp. 227 - 236, http://dx.doi.org/10.1515/advgeom-2020-0019
    Journal articles | 2021
    Dressler M, 2021, 'Real zeros of SONC polynomials', Journal of Pure and Applied Algebra, 225, http://dx.doi.org/10.1016/j.jpaa.2020.106602
    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, 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, 1, pp. 536 - 555, http://dx.doi.org/10.1137/16M1086303
  • Working Papers | 2023
    Dao MN; Dressler M; Liao H; Roshchina V, 2023, Douglas-Rachford is the best projection method, http://dx.doi.org10.48550/arXiv.2310.17077
  • Preprints | 2024
    Dressler M; Foucart S; Joldes M; Klerk ED; Lasserre J-B; Xu Y, 2024, Least multivariate Chebyshev polynomials on diagonally determined domains, , http://arxiv.org/abs/2405.19219v1
    Preprints | 2024
    Dressler M; Foucart S; Klerk ED; Joldes M; Lasserre JB; Xu Y, 2024, Optimization-Aided Construction of Multivariate Chebyshev Polynomials, , http://arxiv.org/abs/2405.10438v1
    Preprints | 2023
    Dao MN; Dressler M; Liao H; Roshchina V, 2023, Douglas--Rachford is the best projection method, , http://arxiv.org/abs/2310.17077v1
    Preprints | 2023
    Dressler M; Kuhlmann S; Schick M, 2023, Geometrical Study of the Cone of Sums of Squares plus Sums of Nonnegative Circuits, , http://arxiv.org/abs/2305.14848v1
    Reports | 2023
    Dressler M, 2023, Algebraic Perspectives on Signomial Optimization, EMS Publishing House, https://www.ems-ph.org/journals/journal.php?jrn=owr
    Preprints | 2022
    Bellon A; Dressler M; Kungurtsev V; Marecek J; Uschmajew A, 2022, Time-Varying Semidefinite Programming: Path Following a Burer-Monteiro Factorization, , http://dx.doi.org/10.1137/22M1529762
    Preprints | 2022
    Dressler M; Garrote-López M; Montúfar G; Müller J; Rose K, 2022, Algebraic optimization of sequential decision problems, , http://arxiv.org/abs/2211.09439v1
    Preprints | 2022
    Dressler M; Uschmajew A; Chandrasekaran V, 2022, Kronecker Product Approximation of Operators in Spectral Norm via Alternating SDP, , http://arxiv.org/abs/2207.03186v2
    Preprints | 2021
    Dressler M; Murray R, 2021, Algebraic perspectives on signomial optimization, , http://arxiv.org/abs/2107.00345v1
    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, pp. 138 - 145, http://dx.doi.org/10.1145/3373207.3404043
    Preprints | 2020
    Dressler M; Heuer J; Naumann H; Wolff TD, 2020, Global Optimization via the Dual SONC Cone and Linear Programming, , http://dx.doi.org/10.1145/3373207.3404043
    Preprints | 2020
    Dressler M; Krone R, 2020, Multiple typical ranks in matrix completion, , http://arxiv.org/abs/2010.09777v1
    Preprints | 2020
    Dressler M; Nie J; Yang Z, 2020, Separability of Hermitian Tensors and PSD Decompositions, , http://arxiv.org/abs/2011.08132v2
    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
    Preprints | 2019
    Dressler M, 2019, Real Zeros of SONC Polynomials, , http://dx.doi.org/10.1016/j.jpaa.2020.106602
    Preprints | 2018
    Dressler M; Kurpisz A; Wolff TD, 2018, Optimization over the Boolean Hypercube via Sums of Nonnegative Circuit Polynomials, , http://arxiv.org/abs/1802.10004v1
    Preprints | 2018
    Dressler M; Naumann H; Theobald T, 2018, The dual cone of sums of non-negative circuit polynomials, , http://arxiv.org/abs/1809.07648v2
    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 | 2018
    Dressler M, 2018, Sums of Nonnegative Circuit Polynomials : Geometry and Optimization, http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/46971
    Preprints | 2016
    Dressler M; Iliman S; Wolff TD, 2016, A Positivstellensatz for Sums of Nonnegative Circuit Polynomials, , http://arxiv.org/abs/1607.06010v2
    Preprints | 2016
    Dressler M; Iliman S; Wolff TD, 2016, An Approach to Constrained Polynomial Optimization via Nonnegative Circuit Polynomials and Geometric Programming, , http://arxiv.org/abs/1602.06180v3
    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