PhD-Thesis

• Symmetry Reduction in Convex Optimization with Applications in Combinatorics. Under supervision of Etienne de Klerk and Monique Laurent.
  PDF.

Publications

Preprints

• Daniel Brosch and Sven Polak, New lower bounds on crossing numbers of K(m,n) from permutation modules and semidefinite programming, arXiv, 2022.

Published

• Daniel Brosch and Etienne de Klerk, Jordan symmetry reduction for conic optimization over the doubly nonnegative cone: theory and software, Optimization Methods and Software 2021.
  Optimization Methods and Software, arXiv.

• Daniel Brosch, Monique Laurent and Andries Steenkamp, Optimizing Hypergraph-Based Polynomials Modeling Job-Occupancy in Queuing with Redundancy Scheduling, SIAM Journal on Optimization 2021.
  SIAM Journal on Optimization, arXiv.

• Daniel Brosch and Etienne de Klerk, Minimum energy configurations on a toric lattice as a quadratic assignment problem, Discrete Optimization 2020.
  Discrete Optimization, arXiv (extended results).

Others

• Master's Thesis: Semidefinite Bounds for Unequal Error Protection Codes. Under supervision of Frank Vallentin.
  PDF.

Talks

Planned

• ÖMG Tagung 2023

Past

• Europt 2023, Budapest, August 2023, The flag algebra of rooted binary trees.
  slides

• Oberwolfach workshop: Mixed-integer Nonlinear Optimization: A Hatchery for Modern Mathematics, Oberwolfach, August 2023, Is the set of trees convex?
  slides

• SIAM AG23, Eindhoven, July 2023, Möbius Transform Based Bounds for Constant Weight Codes.
  slides

• SIAM OP23, Seattle, May-June 2023, Flag Sums of Squares for Sidorenko's Conjecture.
  slides

• MAAG 2023, Georgia Tech, April 2023, The Flag Algebra of Rooted Binary Trees.
  slides.

• Georgia Tech Graph Theory & Combinatorics Seminar, Georgia Tech, April 2023, New lower bounds on crossing numbers of $K_{m,n}$.
  slides.

• Semidefinite optimization approaches to classical and quantum combinatorial optimization, Cologne University, February 2023, SDPs for Extremal Combinatorics.
  slides.

• Three days of computational methods for extremal discrete geometry, Cologne University, December 2022, New lower bounds on crossing numbers of $K_{m,n}$.
  slides.

• University of Klagenfurt, October 2022, Derivatives in Continuous Combinatorics.
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• ICCOPT 2022, Lehigh University, July 2022, Moebius-Transform Based Symmetry Reduction for Optimization in Binary Variables.
  slides.

• Workshop on Conic Linear Optimization for Computer-Assisted Proofs, Oberwolfach, 12.4.2022, The Symmetries of Flag-Algebras.
  slides.

• Discrete Math Seminar, University of Massachusetts Amherst, 1.4.2022, Symmetry reduced Flag-hierarchies.
  slides.

• Polynomial optimization reading group (CWI, Amsterdam), March 2022, Symmetry reduced Flag-hierarchies.

• SIAM AG21, August 2021, and

• SIAM OP21, July 2021: More efficient and flexible Flag-Algebras coming from polynomial optimization.
  slides.

• Virtual OR Seminar, Tilburg University, February 2021: More efficient and flexible Flag-Algebras.

• Oberseminar "Reelle Geometrie und Algebra", Uni Konstanz, January 2021: More efficient and flexible Flag-Algebras.

• Shared seminar CWI reading group/Cologne Oberseminar, January 2021: More efficient and flexible Flag-Algebras.

• Polynomial optimization reading group (CWI, Amsterdam), February and March 2020.: A two-part introduction to symmetry reduction for SDPs.

• 6th International Conference on Continuous Optimization (ICCOPT), August 2019: Minimum energy configurations on a toric lattice as a quadratic assignment problem.
  slides.

A more detailed CV is available here.

Co-authors: Etienne de Klerk, Monique Laurent, Sven Polak, Andries Steenkamp.